Image Pipeline — Measurement Cluster
273 groups
70 localize 203 skip 0 review
IDDecisionCategoryFigureOriginalEditedReasoning
01531701-9be5-44d8-9260-26b8b6fc6b5b Skip No change needed
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Why is it helpful to know what a pyramid is?
  • Knowing a pyramid’s shape helps work out its faces, edges, and corners. It also helps when finding its size or making models.
No changes

Rationale: The text and image do not contain any Australian-specific spelling, units, or terminology. The content is dialect-neutral.

01JVHFGJGFMHRRG2235SRM755G Skip No change needed
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Original
What is the length of the line segment connecting points $A$ and $B$?
  • 5 units
No changes

Rationale: The question, image, and answer use mathematically neutral terminology and notation that is identical in both Australian and American English. There are no units, specific spellings, or cultural references that require localization.

01JVHFV52GA0G1SF5K43WQ522R Localize Units (convert)
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Original
Edit requested (no output)
$\triangle PQR$ is similar to $\triangle ABC$ with a scale factor of $2$. What is the length of side $PQ$ ?
  • 16 cm
$\triangle PQR$ is similar to $\triangle ABC$ with a scale factor of $2$. What is the length of side $PQ$ ?
  • 16 in

Rationale: The question and image contain metric units ("cm"), which are identified in the classification criteria as content requiring localization for a US audience. The conversion from centimeters to inches is a simple unit swap that preserves the mathematical integrity of the problem and maintains the integer nature of the answer, fitting the "RED.units_simple_conversion" category.

Image edit: Only change '8cm' to '8 in' in the label for the base of the smaller triangle, keep everything else the same
01JVHFV52H54N4DTVV2BXGCTBR Skip No change needed
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Original
A rectangle has a length of $10$ m. It is enlarged by a scale factor of $1.5$. What is the length of the enlarged rectangle?
  • 15 m
No changes

Rationale: The question and image use the abbreviation 'm', which is the standard SI symbol for both 'metres' (AU) and 'meters' (US). No AU-specific spellings (like 'centre') or terminology are present. Since no specific unit conversion table was provided to map metric units to US customary units, and 'm' is commonly used in US mathematics education, the content is bi-dialect neutral.

01JVHFV52J01Q6GB7FVKW0MR1F Localize Units (convert)
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Original
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Edited
If a $10$ cm line segment is enlarged by a scale factor of $2.2$, what is its new length?
  • 22 cm
If a $10$ in line segment is enlarged by a scale factor of $2.2$, what is its new length?
  • 22 in

Rationale: The question uses metric units (cm), which are standard in Australia. For a US audience, these are typically converted to US customary units (in) in general math contexts. The conversion is simple (1:1 replacement of units) and does not affect the mathematical operations or the requirement for a whole-number answer.

Image edit: Only change '10 cm' to '10 in' in the label below the line, keep everything else the same
01JVHFV52MXEMSM6FD2926GAED Skip No change needed
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Original
Two similar regular hexagons have perimeters $48$ units and $72$ units. If one side of the first hexagon is $8$ units, what is the length of the corresponding side of the second hexagon?
  • 12 units
No changes

Rationale: The question uses the term 'units' for measurements and contains no Australian-specific spelling, terminology, or cultural references in either the text or the image.

01JVHFV52R4M8EV6AEC4RHVBS1 Skip No change needed
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Find the value of $x$ in $\triangle PQR$.
  • $x=$ 23.3
No changes

Rationale: The question and image use universal mathematical notation and terminology. There are no instances of Australian-specific spelling, units, or cultural references.

01JVHFV52R4M8EV6AEC5GJ2P52 Skip No change needed
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Original
A triangle has angles in the ratio $1:3:5$. What is the size of the smallest angle?
  • 20 $^\circ$
No changes

Rationale: The text and image use universal mathematical terminology and notation. There are no spelling, unit, or cultural differences between AU and US English in this specific content.

01JVHFV52SP3A0HXDE85DS9K81 Skip No change needed
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Original
Find the length of the hypotenuse of the given triangle.
  • 13 cm
No changes

Rationale: The question and image use standard mathematical terminology ("hypotenuse", "triangle") and units ("cm") that are bi-dialect neutral and commonly used in both Australian and American English educational contexts. No Australian-specific spellings (e.g., "centimetres") or terms are present in the text fields or the image.

01JVHFV52T6QDE123VWV1CRYTH Localize Units (convert)
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Original
Edited
Edited
The two triangles below are similar. What is the perimeter of the smaller triangle?
  • 36 cm
The two triangles below are similar. What is the perimeter of the smaller triangle?
  • 36 in

Rationale: The question and image use centimeters (cm), which is a metric unit. For US localization, these are converted to inches (in). This is a simple conversion because there are exactly four numerical values, and the conversion preserves the mathematical integrity and the integer answer requirement.

Image edit: Only change '15cm' to '15 in' on the left side of the larger triangle, keep everything else the same | Only change '20cm' to '20 in' on the right side of the larger triangle, keep everything else the same | Only change '25cm' to '25 in' on the bottom side of the larger triangle, keep everything else the same | Only change '9cm' to '9 in' on the left side of the smaller triangle, keep everything else the same
01JVHFV52V4AHWQX41ZT767FPV Skip No change needed
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Find the measure of $\angle F$ in the given quadrilateral.
  • 100 $^\circ$
Find the measure of $\angle F$ in the given quadrilateral.
  • 100 $^\circ$

Rationale: The question text and the image use mathematically neutral terminology and notation that is standard in both Australian and American English. No units, spellings, or cultural references specific to Australia are present.

01JVJ2RBFBAFYPARRGT51YK57Y Localize Units (convert)
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Original
Edited
Edited
A small square has side length $3$ cm. A larger square is created using a scale factor of $5$. What is the side length of the larger square?
  • $15$ cm
  • $25$ cm
  • $30$ cm
  • $8$ cm
A small square has side length $3$ in. A larger square is created using a scale factor of $5$. What is the side length of the larger square?
  • $15$ in
  • $25$ in
  • $30$ in
  • $8$ in

Rationale: The question and image use centimeters (cm), which is a metric unit. For US localization, these should be converted to a US customary unit like inches (in). Since the math is a simple scale factor multiplication, a direct unit swap is appropriate and straightforward.

Image edit: Only change '3 cm' to '3 in' in the label below the small square, keep everything else the same
01JVJ2RBFBAFYPARRGT56G292V Localize Units (keep metric)
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A model aeroplane is built with a scale factor of $\frac{1}{40}$. If the actual aeroplane is $20$ m long, how long is the model in cm?
  • $200$ cm
  • $50$ cm
  • $0.5$ cm
  • $5$ cm
A model airplane is built with a scale factor of $\frac{1}{40}$. If the actual airplane is $20$ m long, how long is the model in cm?
  • $200$ cm
  • $50$ cm
  • $0.5$ cm
  • $5$ cm

Rationale: The question uses the Australian spelling "aeroplane" and metric units ("m" and "cm"). While "aeroplane" is localized to "airplane", the metric units are preserved because they are deeply entangled in the mathematical calculation. Converting 20 m and the resulting 50 cm to US customary units (feet and inches) would result in non-integer values, fundamentally changing the difficulty and pedagogical intent of the scale factor problem.

01JVJ2RBFDT9MMV63K6RQZFBQW Skip No change needed
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Find the measure of $\angle Z$.
  • 80 $^\circ$
No changes

Rationale: The question text and the image use standard mathematical notation and terminology that are identical in both Australian and American English. There are no units, spelling differences, or cultural references that require localization.

01JVJ2RBFEES3M4GQS8MQB7DSH Skip No change needed
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A triangle has angles $x^\circ$, $(x + 30)^\circ$, and $(2x - 10)^\circ$. Classify the triangle.
  • Scalene triangle
  • Isosceles triangle
  • Right triangle
  • Equilateral triangle
A triangle has angles $x^\circ$, $(x + 30)^\circ$, and $(2x - 10)^\circ$. Classify the triangle.
  • Scalene triangle
  • Isosceles triangle
  • Right triangle
  • Equilateral triangle

Rationale: The question and image use universal mathematical terminology and notation. There are no spelling, unit, or cultural differences between Australian and American English in this specific content.

01JVJ2RBFGGG9PYFJYX6GDPPF1 Localize Terminology (AU→US)
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A triangle has vertices $P(0, 0)$, $Q(4, 0)$, and $R(2, 2\sqrt{3})$. What type of triangle is this?
  • Scalene
  • Equilateral
  • Right-angled
  • Isosceles
A triangle has vertices $P(0, 0)$, $Q(4, 0)$, and $R(2, 2\sqrt{3})$. What type of triangle is this?
  • Scalene
  • Equilateral
  • Right
  • Isosceles

Rationale: The term "Right-angled" is the standard Australian English term for a triangle with a 90-degree angle, whereas "Right" is the standard term used in American English in this context.

01JVJ5YNZTF2EG5PFCG120YB0R Localize Units (convert)
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Two ships leave a port at the same time. Ship A sails north at $15$ km/h and Ship B sails east at $20$ km/h. How far apart are they after $3$ hours?
  • $105$ km
  • $60$ km
  • $75$ km
  • $125$ km
Two ships leave a port at the same time. Ship A sails north at $15$ mph and Ship B sails east at $20$ mph. How far apart are they after $3$ hours?
  • $105$ miles
  • $60$ miles
  • $75$ miles
  • $125$ miles

Rationale: The question uses metric units (km/h and km) which are standard in Australia. For a US audience, these should be converted to US customary units (mph and miles). The conversion is straightforward as it involves a direct unit swap that preserves the numerical values and the mathematical integrity of the Pythagorean theorem problem.

01JVJ63PKCAQPPNE07NMEDWFMA Skip No change needed
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True or false: A feather is heavier than a brick.
  • False
  • True
No changes

Rationale: The question text and the image are entirely dialect-neutral. There are no Australian-specific spellings, units, or cultural references that require localization for a US audience.

01JVJ63PKDE6TBNVJAV57VXT8D Localize Units (convert)
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Edited
True or false: The watermelon weighs less than the pumpkin.
  • False
  • True
True or false: The watermelon weighs less than the pumpkin.
  • False
  • True

Rationale: The image contains metric units (kg) for weight. In a US educational context, weight is typically measured in pounds (lb) for this type of comparison problem. The conversion is simple and does not affect the mathematical logic of the question.

Image edit: Only change '2 kg' to '2 lb' in the display of the left scale, keep everything else the same | Only change '3 kg' to '3 lb' in the display of the right scale, keep everything else the same
01JVJ63PKEVG9BKW7TSXNHQ0M8 Localize Units (convert)
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Edited
Which of the animals is heavier?
  • Dog
  • Cat
Image edit only (no text changes)

Rationale: The image contains metric units (kg) used in an everyday context (weighing pets). For a US audience, pounds (lb) is the standard unit for this context. The conversion is simple and does not affect any mathematical equations or complex dependencies.

Image edit: Only change '2 kg' to '5 lb' in the left scale's display, keep everything else the same | Only change '10 kg' to '25 lb' in the right scale's display, keep everything else the same
01JVJ63PKFCMRR6YZNPS8ZW3A8 Skip No change needed
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True or false: A pen is heavier than a book.
  • False
  • True
No changes

Rationale: The question text and the image use universal terminology and contain no Australian-specific spellings, units, or cultural references.

01JVJ69583CH6E55ZCXHGJ8ZAH Localize Units (convert)
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An isosceles triangle has a base of $12$ cm and an area of $48$ cm$^2$. How many centimetres is one of the equal sides?
  • 10 cm
An isosceles triangle has a base of $12$ in and an area of $48$ in$^2$. How many inches is one of the equal sides?
  • 10 in

Rationale: The question contains metric units (cm, cm², centimetres) in both the text and the image. For a US audience, these are typically localized to imperial units (inches). Since the numerical values (12, 48) allow for an integer answer (10) regardless of the unit label, this is a simple unit conversion that preserves mathematical integrity and adheres to the whole-number answer constraint.

Image edit: Only change '12 cm' to '12 in' in the label below the triangle, keep everything else the same
01JVJ69584174VWHB0BHX15GQ1 Localize Units (convert)
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Given $AB = x + 3$ cm, $AD = x$ cm, $BC = 10$ cm, and $DE = 8$ cm, what is the length of $AB$?
  • 15 cm
Given $AB = x + 3$ in, $AD = x$ in, $BC = 10$ in, and $DE = 8$ in, what is the length of $AB$?
  • 15 in

Rationale: The question uses the metric unit 'cm' (centimeters) in the text and suffix. In a US educational context, customary units like 'in' (inches) are typically preferred for geometry problems of this nature. The conversion is straightforward as it only requires changing the unit label; the numerical values and the mathematical logic (based on ratios of similar triangles) remain identical, and the answer remains a whole number.

01JVJ69585M09WRSMQXTDAC4BW Localize Units (convert)
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Given $AD = 12$ cm and $CD = 9$ cm, what is the length of $AB$?
  • 20 cm
Given $AD = 12$ in and $CD = 9$ in, what is the length of $AB$?
  • 20 in

Rationale: The question uses metric units (cm), which are identified in the classification criteria as content requiring localization. The conversion to US customary units (inches) is straightforward, involves only two values (12 and 9), and preserves the mathematical integrity and the integer answer (20).

01JVJ6HM94DRT3C0D9N76XD5MK Skip No change needed
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Subtract the numbers:
  • 1334
No changes

Rationale: The question and image consist entirely of numbers and standard mathematical symbols. There are no units, Australian-specific spellings, or cultural references that require localization.

01JVJ6TJFGQP9FPWG7DX4XMTHD Localize Units (convert)
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A truck travels at an average speed of $75$ kilometres per hour. How far will it travel in $6$ hours?
  • 450 km
A truck travels at an average speed of $75$ miles per hour. How far will it travel in $6$ hours?
  • 450 miles

Rationale: The question uses metric units (kilometres, km) which are standard in Australia. For a US audience, these should be localized to US customary units (miles). The conversion is simple and does not affect the mathematical logic of the question.

01JVJ7085TDDTHSZ20EDV8F5XA Localize Units (keep metric)
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A roll of fabric is $5.05$ km long. Three pieces are cut measuring $1250$ m, $8500$ cm, and $220\ 000$ mm. What is the length of the remaining fabric in metres?
  • 3495 m
A roll of fabric is $5.05$ km long. Three pieces are cut measuring $1250$ m, $8500$ cm, and $220\ 000$ mm. What is the length of the remaining fabric in meters?
  • 3495 m

Rationale: The question requires converting between various metric units (km, m, cm, mm). In a US educational context, while imperial units are common, metric conversion is a specific curriculum skill. Converting the values to imperial would break the mathematical logic of the problem (which relies on powers of 10) and change the pedagogical intent. Therefore, the metric units are preserved, and only the spelling of "metres" is localized to "meters".

01JVJ7AJVZMZDJG7QM1N5HBN1S Skip No change needed
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A satellite orbits the Earth every $1$ hour, $35$ minutes, and $120$ seconds. How many full orbits will it complete in exactly $2$ days?
  • 27
  • 29
  • 26
  • 28
No changes

Rationale: The question and image use universal units of time (hours, minutes, seconds, days) and standard mathematical notation. There are no Australian-specific spellings, terms, or cultural references present. The image actually depicts the Americas, making it naturally aligned with a US audience.

01JVJ7AJWDG9Y8GZ1HS73M57VS Localize Units (keep metric)
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True or false: A runner tracks her total distance as $3$ km, $200$ m, and $5000$ cm. Altogether, she has travelled $3250$ m.
  • True
  • False
True or false: A runner tracks her total distance as $3$ km, $200$ m, and $5000$ cm. Altogether, she has traveled $3250$ m.
  • True
  • False

Rationale: The question contains the Australian spelling "travelled" and uses metric units (km, m, cm). While the spelling is a simple fix, the metric units are deeply integrated into the mathematical logic of the problem (converting $3$ km, $200$ m, and $5000$ cm to a total in meters). Converting these to US customary units (miles, feet, inches) would result in complex decimals, fundamentally changing the difficulty and pedagogical goal of the question. Therefore, the units are preserved while the spelling is localized.

01JVJ7AJWFPVXWT6BAGYFF42ZQ Skip No change needed
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True or false: A person walks three parts of a short route: $0.015$ km, $2500$ cm, and $300000$ mm Altogether, they walk more than $0.3$ km.
  • False
  • True
No changes

Rationale: The question uses metric symbols (km, cm, mm) which are standard and identical in both Australian and American English. There are no instances of Australian-specific spelling (such as "metres" or "kilometres") or regional terminology. The image is a generic illustration of a person walking and contains no text, units, or cultural markers that require localization. Since the mathematical values are within LaTeX and the pedagogical focus is on metric unit conversion, the content is fully bi-dialect neutral.

01JVM2N7B22H3D1F6D1QV8V7DV Localize Spelling (AU→US)
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Fill in the blank: When buying a large bottle of juice at the supermarket, the volume is most likely shown in $[?]$
  • Litres or pints or quarts
  • Metres or feet
  • Grams or pounds
  • Millilitres or fluid ounces
Fill in the blank: When buying a large bottle of juice at the supermarket, the volume is most likely shown in $[?]$
  • Liters or pints or quarts
  • Meters or feet
  • Grams or pounds
  • Milliliters or fluid ounces

Rationale: The question and answers contain Australian spellings for metric units ("Litres", "Metres", "Millilitres") which require conversion to US English spellings ("Liters", "Meters", "Milliliters").

01JVM2N7B5GTPSYD63HDEKZGXM Localize Spelling (AU→US)
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What units are typically used to measure the weight of a newborn baby at the hospital?
  • Tonnes or stones
  • Kilograms or pounds
  • Grams or drachms
  • Metres or inches
What units are typically used to measure the weight of a newborn baby at the hospital?
  • Tons or stones
  • Kilograms or pounds
  • Grams or drams
  • Meters or inches

Rationale: The question and answers contain Australian/British spelling variants for units ("Tonnes", "drachms", "Metres") which need to be converted to their American English equivalents ("Tons", "drams", "Meters"). The image itself is a neutral photograph of a baby and requires no edits.

01JVMK5AT8RD3TV15ZHYQ16FE1 Skip No change needed
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Look at angle A and angle B. Which of these is the best comparison?
  • Angle B is about twice as big as Angle A
  • Angle A and Angle B are about the same size
  • Angle A is about twice as big as Angle B
  • Angle A is about half the size of Angle B
No changes

Rationale: The question and image use standard mathematical terminology and notation that is identical in both Australian and American English. There are no units, specific spellings, or cultural references present.

01JVMK685SYWHNK217H5XMG06X Skip No change needed
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Original
Which of the following is the best estimate for the angle displayed?
  • $55^\circ$
  • $30^\circ$
  • $45^\circ$
  • $10^\circ$
No changes

Rationale: The question text and the image are both dialect-neutral. There are no Australian-specific spellings, units, or cultural references present.

01JVMK685V9A872EM453PZT3JA Skip No change needed
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True or false: The angle shown is approximately $80^\circ$
  • True
  • False
No changes

Rationale: The question text and the image do not contain any Australian-specific spelling, units, terminology, or cultural references. The content is dialect-neutral.

01JVPPJRZQZ6MZQ16VEQZ1EAWD Skip No change needed
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A box of chocolates weighs $450$ g. A carton contains $24$ such boxes. What is the total weight of $3$ cartons in tonnes?
  • 0.0324 t
No changes

Rationale: The question uses metric units (grams and tonnes). While "tonnes" is the standard international and Australian spelling, it is also used in the United States to specifically denote the metric ton (1,000 kg) and distinguish it from the US customary short ton (2,000 lb). In a mathematical context focusing on metric conversions, "tonnes" and the symbol "t" are acceptable and understood in both dialects. The rest of the text ("box of chocolates", "carton") and the image are bi-dialect neutral.

01JVPPJRZRR0TR1A0WKC9G2VVM Skip No change needed
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A medicine dosage is $5$ mg per kg of body weight. If a person weighs $75$ kg, and the medicine is supplied in $0.125$ g tablets, how many tablets are needed for one dose?
  • 3 tablets
No changes

Rationale: The question and image use terminology and units (mg, g, kg) that are standard in both Australian and American English, particularly within medical and scientific contexts. No spelling variations (e.g., "gramme") or region-specific terms (e.g., "maths") were identified in the text or the image.

01JVPPJRZRR0TR1A0WKFWPJ323 Skip Metric pedagogy — review
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An elephant weighs $4.5$ tonnes. A mouse weighs $25$ g. How many mice would it take to equal the weight of the elephant?
  • 180000
An elephant weighs $4.5$ metric tons. A mouse weighs $25$ g. How many mice would it take to equal the weight of the elephant?
  • 180000

Rationale: The question specifically tests the skill of converting between metric units of mass (tonnes to grams). Converting these to US customary units (tons to pounds/ounces) would break the mathematical integrity of the problem, change the pedagogical focus, and result in non-integer values that would violate the answer format constraints. Therefore, the metric system is preserved, but the terminology is localized from the Australian "tonnes" to the American "metric tons".

01JVPPJRZSVR7RJ2B88D1N4WF9 Localize Spelling (AU→US)
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A rectangular swimming pool is $10$ m long, $5$ m wide, and $1.5$ m deep. If it is $80\%$ full, how many kilolitres of water are in the pool?
Hint: $1$ m$^3 = 1$ kL
  • 60 kL
A rectangular swimming pool is $10$ m long, $5$ m wide, and $1.5$ m deep. If it is $80\%$ full, how many kiloliters of water are in the pool?
Hint: $1$ m$^3 = 1$ kL
  • 60 kL

Rationale: The question uses the Australian spelling "kilolitres". This needs to be converted to the American English spelling "kiloliters". The metric units (m, kL) are preserved as they are central to the mathematical problem (converting volume in cubic meters to capacity in kiloliters).

01JVPPJRZTW8BN53DDG3DC73B8 Localize Spelling (AU→US)
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A tank holds $2.5$ kL of water. If $750$ L is used and then $0.5$ m$^3$ is added, how many litres of water are in the tank?
Hint: $1$ m$^3 = 1000$ L
  • 2250 L
A tank holds $2.5$ kL of water. If $750$ L is used and then $0.5$ m$^3$ is added, how many liters of water are in the tank?
Hint: $1$ m$^3 = 1000$ L
  • 2250 L

Rationale: The question uses the Australian spelling "litres", which needs to be converted to the US spelling "liters". The metric units (kL, L, m$^3$) are preserved because the skill being assessed is specifically about converting between metric units of capacity and volume, and changing them to US Customary units would invalidate the mathematical purpose of the question.

01JVPPJRZTW8BN53DDG5XJJAVA Skip No change needed
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A circular pizza has a diameter of $30$ cm. If a slice representing $\frac{1}{6}$ of the pizza is removed, what is the area of the remaining pizza?
  • 589 cm$^2$
No changes

Rationale: The question and image are bi-dialect neutral. The unit "cm" is a standard international abbreviation used in both Australian and American English, particularly in mathematical and scientific contexts. There are no instances of Australian-specific spelling (such as "centimetre"), terminology (such as "maths"), or cultural references. The mathematical values are correctly formatted in LaTeX and must be preserved according to the core principles. Since no specific unit conversion table was provided to mandate a change from metric to imperial, and "cm" is acceptable in US educational content, the question remains unchanged.

01JVPPJRZW1RVVP55J7DQTHVNZ Skip No change needed
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A rectangle has an area of $125$ cm$^2$. Its length is $25\%$ more than its width. What is the width?
  • 10 cm
No changes

Rationale: The question and image use the abbreviations 'cm' and 'cm²', which are standard in both Australian and American English. There are no instances of Australian-specific spelling (like 'centimetre') or terminology (like 'maths'), making the content bi-dialect neutral.

01JVQ0CA5XXA9CEH6GGZQZ8G4B Skip No change needed
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A digital postal scale reads $0.375$ kg. If an item weighing $120$ grams is added to the scale, what will the new reading be in kilograms?
  • 0.495 kg
No changes

Rationale: The question uses metric units (grams and kilograms) and standard terminology that is perfectly acceptable and common in US mathematical contexts, especially for a skill specifically about converting units of mass. There are no spelling differences (e.g., 'grams' is standard in both AU and US) or cultural references requiring localization.

01JVQ0CA69QMC0GATGYA2A3DG5 Skip No change needed
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A triangle has interior angles $x^\circ$, $2x^\circ$, and $3x^\circ$. What is the sum of its exterior angles?
  • 360 $^\circ$
No changes

Rationale: The question and image use universal mathematical terminology and notation. There are no Australian-specific spellings, units, or cultural references present.

01JVQ0CA6CN8RTKG9H11Y9N508 Skip No change needed
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Given $\triangle \text{PQR} \cong \triangle \text{STU}$. If PQ $= \,5$ cm, QR $=\, 7$ cm, and PR $=\, 6$ cm, what is the length of side TU?
  • 7 cm
No changes

Rationale: The question and image are bi-dialect neutral. The abbreviation 'cm' is used for centimeters, which is standard in both Australian and American English. No Australian-specific spellings (such as 'centimetre'), terminology (such as 'maths'), or cultural references are present. The mathematical notation and units are consistent across both dialects.

01JVQ0CA6E339C9RJXSDHAJ4PN Skip No change needed
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Given $\triangle \text{FGH} \cong \triangle \text{JKL}$ and $\angle \text{F} = (2x+10)^\circ$, $\angle \text{J} = (3x-20)^\circ$. Find the measure of $\angle \text{F}$.
  • 70 $^\circ$
No changes

Rationale: The question uses standard mathematical notation and terminology that is identical in both Australian and American English. There are no units, spellings, or cultural references that require localization.

01JVQ0EFRXJ8YFYBE8RS3R7J74 Skip No change needed
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A cylindrical pipe is open at both ends. Its radius is $1$ m and its height is $5$ m. What is its surface area?
  • $31.4$ m$^2$
  • $15.7$ m$^2$
  • $62.8$ m$^2$
  • $37.68$ m$^2$
No changes

Rationale: The question and image use the abbreviation 'm' for units, which is the same in both Australian and American English. All terminology ('radius', 'height', 'surface area', 'cylindrical pipe') and spelling are bi-dialect neutral.

01JVQ0EFSWDB3710VD47FB74HV Skip No change needed
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Original
$\triangle PQR \cong \triangle XYZ$ by ASA. If $\angle P = 40^\circ$, $PQ = 7$ units, and $\angle Q = 60^\circ$, what is the length of $XY$?
  • $7$ units
  • Length of XZ
  • Cannot be determined
  • Length of YZ
No changes

Rationale: The question uses standard mathematical notation and terminology (ASA congruence, "units") that is identical in both Australian and American English. There are no spelling differences or specific regional units present in the text or the image.

01JW5QPTNA6PHEZH67AE9KW961 Localize Units (convert)
Original
Original
Edited
Edited
Find the perimeter of the L-shaped figure shown.
  • 24 cm
Find the perimeter of the L-shaped figure shown.
  • 24 in

Rationale: The question and image use metric units (cm). For a US audience, these should be converted to US customary units (in). This is a simple conversion involving four labels where the numerical values can be preserved to maintain the mathematical integrity of the problem and the whole-number answer constraint.

Image edit: Only change '3 cm' to '3 in' in the top label, keep everything else the same | Only change '5 cm' to '5 in' in the left label, keep everything else the same | Only change '7 cm' to '7 in' in the bottom label, keep everything else the same | Only change '2 cm' to '2 in' in the right label, keep everything else the same
01JW5QPTNB7VHT68C20B5RACBK Skip No change needed
Original
Original
A composite shape is made from a square of side $8$ cm with four semicircles of diameter $8$ cm attached to each side of the square. What is the perimeter of this shape?
  • 41.13 cm
No changes

Rationale: The question and image are bi-dialect neutral. The abbreviation "cm" for centimeters is standard in both Australian and American English, especially in mathematical and scientific contexts. All other terminology ("square", "semicircles", "diameter", "perimeter", "composite shape") and spellings are identical in both dialects. There are no cultural references, specific school year levels (e.g., "Year 7"), or other AU-specific markers.

01JW5QPTNB7VHT68C20C2T3FC4 Localize Units (keep metric)
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Original
A swimming pool is $1.5$ m deep with a base area of $250$ m$^2$. How many cubic metres of water are needed to fill $80\%$ of the pool?
  • 300 m$^3$
A swimming pool is $1.5$ m deep with a base area of $250$ m$^2$. How many cubic meters of water are needed to fill $80\%$ of the pool?
  • 300 m$^3$

Rationale: The question contains the Australian spelling "metres" and uses metric units (m, m², m³). While the spelling needs to be localized to "meters", the metric units themselves must be retained. Converting to US customary units would require changing numerical values within LaTeX delimiters (e.g., $1.5$, $250$), which is strictly prohibited. Furthermore, any conversion would result in non-integer values, violating the constraint that the answer must be a whole number.

01JW5QPTNC90Y1HWCBG9D1MX9V Skip No change needed
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Original
A kite's area is $96$ square units. If one of its diagonals is $16$ units long, what is the length of the other diagonal?
  • 12 units
No changes

Rationale: The question uses generic "units" and "square units" which are dialect-neutral. There are no spelling or terminology differences between AU and US English in this specific content.

01JW5QPTPGHKQ730HWANWG865C Skip No change needed
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Original
A minor segment of a circle has an area of $(12\pi - 9\sqrt{3})$ cm$^2$. If the radius is $6$ cm and the triangle area is $\frac{1}{2}r^2\sin\theta$, what is the central angle $\theta$ in degrees?
  • 120 $^\circ$
No changes

Rationale: The question and image use "cm" and "cm$^2$", which are standard international abbreviations used in both Australian and American English. No Australian-specific spellings (e.g., "centimetre", "centre") or terminology (e.g., "maths", "Year 7") are present in the text or the image. The mathematical notation and terminology are universal.

01JW5RGMF3TCEM4TGY2CWXRD4B Skip No change needed
Original
Original
True or false: When a sculptor reshapes a block of clay without adding or removing any clay, its volume stays the same.
  • False
  • True
No changes

Rationale: The text and image are bi-dialect neutral, containing no Australian-specific spelling, units, or terminology.

01JW5RGMF4WVXRBQJ63TRZV9RQ Skip No change needed
Original
Original
True or false: When a waterproof, solid object is completely dipped in water, the amount of water displaced is equal to its volume.
  • True
  • False
No changes

Rationale: The text and image are entirely dialect-neutral. There are no spelling differences (e.g., "volume", "displaced", "completely" are the same in AU and US English), no units, and no cultural references.

01JW5RGMF5APC6CRFN989EG8DQ Skip No change needed
Original
Original
Fill in the blank: If every side of a cube is made twice as long, its new volume will be $[?]$
  • $2$ times bigger
  • $8$ times bigger
  • $4$ times bigger
  • $6$ times bigger
No changes

Rationale: The question text and the image are both dialect-neutral. There are no Australian-specific spellings, units, or cultural references present.

01JW5RGMJ2930GZ41R99PWT6CG Localize Units (convert)
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Original
True or false: Removing a $2$ cm square from the corner of a $5$ cm square leaves a shape with the same perimeter.
  • False
  • True
True or false: Removing a $2$ in square from the corner of a $5$ in square leaves a shape with the same perimeter.
  • False
  • True

Rationale: The question uses centimeters (cm), which is a metric unit. For US localization, metric units in general geometry problems are typically converted to US customary units like inches (in). The conversion is simple and does not affect the mathematical logic of the problem.

01JW5RGMJ3PSJT4T093QQ51BFG Skip No change needed
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Original
A cylindrical water tank has a volume of $1570$ m$^3$. Its height is $20$ m. What is the radius of its circular base?
  • 5 m
No changes

Rationale: The question and image use standard metric symbols ("m" and "m$^3$") and terminology that are universally accepted in both Australian and American English. No AU-specific spellings (like "metres") or cultural references are present. Since the units are represented by international symbols and the spelling is already US-compatible, the content is bi-dialect neutral.

01JW5RGMJ3PSJT4T093SAX4600 Localize Spelling (AU→US)
Original
Original
Which unit would be most appropriate to measure the capacity of a syringe?
  • Millilitres (mL)
  • Metres (m)
  • Kilograms (kg)
  • Litres (L)
Which unit would be most appropriate to measure the capacity of a syringe?
  • Milliliters (mL)
  • Meters (m)
  • Kilograms (kg)
  • Liters (L)

Rationale: The question and answers use metric units that are standard in both Australia and the US for medical contexts (syringes), but the spelling of these units (Millilitres, Metres, Litres) follows the Australian convention (-re) and needs to be converted to the US convention (-er).

01JW5RGMJ8QAWW2YHW6RNK4Y9Z Skip No change needed
Original
Original
Which sides are equal in length?
  • QR and RP
  • PQ and PR
  • PQ and QR
  • All sides are equal
No changes

Rationale: The question, answers, and image use standard geometric notation and terminology that is identical in both Australian and American English. There are no units, regional spellings, or cultural references present.

01JW5RGMJ90KRZG8Y9M7474BD3 Skip No change needed
Original
Original
In a kite PQRS, which of these statement is necessarily true?
  • $PS = SR$
  • $PQ = QR$
  • $PQ = PS$ and $QR = SR$
  • All sides are equal
No changes

Rationale: The question and image use standard geometric terminology and notation that is identical in both Australian and American English. There are no units, specific spellings, or cultural references that require localization.

01JW5RGMQ1HDB66VW6BNZMBP8C Localize Spelling (AU→US)
Original
Original
The area of a minor segment of a circle is $(\pi - 2)$ square units. This chord subtends a $90^\circ$ angle at the centre. What is the radius of the circle?
  • $4\sqrt{2}$ units
  • $2\sqrt{2}$ units
  • $4$ units
  • $2$ units
The area of a minor segment of a circle is $(\pi - 2)$ square units. This chord subtends a $90^\circ$ angle at the center. What is the radius of the circle?
  • $4\sqrt{2}$ units
  • $2\sqrt{2}$ units
  • $4$ units
  • $2$ units

Rationale: The question text uses the Australian spelling "centre", which needs to be converted to the US spelling "center". No other localization is required.

01K0RMP950927C265TCKQF654J Localize Spelling (AU→US)
Original
Original
A cup holds $250$ mL. How many litres is this?
  • $25$ L
  • $0.025$ L
  • $2.5$ L
  • $0.25$ L
A cup holds $250$ mL. How many liters is this?
  • $25$ L
  • $0.025$ L
  • $2.5$ L
  • $0.25$ L

Rationale: The question contains the Australian spelling "litres", which needs to be converted to the US spelling "liters". The metric units (mL and L) and the numerical values are preserved because the question is specifically designed to test conversion within the metric system, which is a standard part of the US math curriculum.

01K0RMSP8H31JYVN9HR6ZZFZMN Localize Units (convert)
Original
Original
Edited
Edited
What is the surface area of a sphere with a diameter of $4$ cm?
  • $8\pi$ cm$^2$
  • $16\pi$ cm$^2$
  • $32\pi$ cm$^2$
  • $4\pi$ cm$^2$
What is the surface area of a sphere with a diameter of $4$ in?
  • $8\pi$ in$^2$
  • $16\pi$ in$^2$
  • $32\pi$ in$^2$
  • $4\pi$ in$^2$

Rationale: The question and accompanying image use metric units (centimeters), which require localization to US customary units (inches). The conversion is straightforward as it involves a single value and does not affect the mathematical logic or the values within LaTeX delimiters.

Image edit: Only change '4 cm' to '4 in' in the label above the diameter line, keep everything else the same
01K0RMSP8QB3G5NVGCKPJX4GG0 Localize Units (convert)
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Edited
Edited
What is the total surface area of a cone with a diameter of $10$ cm and a slant height of $8$ cm?
  • $40\pi$ cm$^2$
  • $65\pi$ cm$^2$
  • $90\pi$ cm$^2$
  • $105\pi$ cm$^2$
What is the total surface area of a cone with a diameter of $10$ in and a slant height of $8$ in?
  • $40\pi$ in$^2$
  • $65\pi$ in$^2$
  • $90\pi$ in$^2$
  • $105\pi$ in$^2$

Rationale: The question and image use metric units (cm), which are identified as Australian-specific content in this context. A simple conversion to imperial units (in) is appropriate for a US audience, as it does not affect the mathematical logic or the numerical values used in the LaTeX expressions.

Image edit: Only change '10 cm' to '10 in' in the diameter label, keep everything else the same | Only change '8 cm' to '8 in' in the slant height label, keep everything else the same
01K0RMSP8SE36N8PT7VC97P6R5 Skip No change needed
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Original
A cone has a diameter of $10$ m and a perpendicular height of $12$ m. What is its total surface area?
  • $110\pi$ m$^2$
  • $65\pi$ m$^2$
  • $90\pi$ m$^2$
  • $85\pi$ m$^2$
No changes

Rationale: The question and image use the unit abbreviation "m" (meters/metres) and standard mathematical terminology ("diameter", "perpendicular height", "total surface area") that is identical in both Australian and American English. Additionally, the units in the answer choices are contained within LaTeX delimiters ($...$), which must remain byte-identical according to the core principles. Changing the units in the text or image would create a mathematical inconsistency with the answer choices.

01K0RMSP8X4VVVXB7QV7N7KJNF Skip No change needed
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Original
A frustum of a cone has a top radius of $3$ cm, a bottom radius of $6$ cm, and a slant height of $5$ cm. Calculate its total surface area.
  • $45\pi$ cm$^2$
  • $90\pi$ cm$^2$
  • $75\pi$ cm$^2$
  • $100\pi$ cm$^2$
No changes

Rationale: The question and image use metric units (cm), which are standard in US geometry curriculum. There are no Australian-specific spellings (e.g., "centre", "colour") or terminology. Furthermore, the units in the answer choices are contained within LaTeX delimiters ($...$), which must remain byte-identical according to the core principles. Therefore, no localization is required.

01K0RMSP8YPVHBT0GB6FQJAZ3B Skip No change needed
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Original
A cone has a diameter of $6$ cm and a height of $7$ cm. What is its volume in terms of $\pi$?
  • $63\pi$ cm$^3$
  • $21\pi$ cm$^3$
  • $84\pi$ cm$^3$
  • $441\pi$ cm$^3$
No changes

Rationale: The question and image use the abbreviation "cm" and standard mathematical terminology ("diameter", "height", "volume", "cone") which are identical in both Australian and American English. No spelling differences or cultural references are present.

01K0RMSP93YHS5160CWCX6H04Y Skip No change needed
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Original
A cone is placed on top of a cylinder, and both solids share the same radius of $5$ m. The height of the cylinder is $8$ m, and the height of the cone is $6$ m. What is the total volume of the solid, in terms of $\pi$?
  • $200\pi$ m$^3$
  • $50\pi$ m$^3$
  • $350\pi$ m$^3$
  • $250\pi$ m$^3$
No changes

Rationale: The question and image use the unit abbreviation 'm', which is the standard SI abbreviation for both 'metres' (AU) and 'meters' (US). There are no spelling differences, region-specific terminology, or cultural references present in the text or the diagram.

01K0RMSP95MN6EFFAF4AQ75V8P Skip No change needed
Original
Original
A cone is filled with water to half its height. If the cone has a radius of $8$ cm and a height of $12$ cm, what is the volume of the water in terms of $\pi$?
  • $128\pi$ cm$^3$
  • $192\pi$ cm$^3$
  • $32\pi$ cm$^3$
  • $256\pi$ cm$^3$
No changes

Rationale: The question and image use the abbreviation "cm" for centimeters, which is standard in both Australian and American English. There are no instances of Australian-specific spelling (e.g., "centimetre"), terminology (e.g., "maths"), or cultural references that require localization.

01K0RMSP965HJ56NEQ0G4V06K7 Skip No change needed
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Original
A solid is formed by placing a cube with a side length of $2$ m on top of another cube with a side length of $4$ m. What is the total surface area exposed?
  • $112$ m$^2$
  • $120$ m$^2$
  • $96$ m$^2$
  • $116$ m$^2$
No changes

Rationale: The question and image use the abbreviation "m" for meters/metres, which is identical in both Australian and American English. No Australian-specific spellings (such as "metres" or "colour") or terminology (such as "maths") are present in the text or the image. The mathematical content is bi-dialect neutral.

01K0RMSP99EQMJAJRDQ1V78FB8 Skip No change needed
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Original
A cone of radius $6$ cm and height $8$ cm is placed on top of a cylinder of radius $6$ cm and height $10$ cm. What is the total surface area of the composite shape, in terms of $\pi$?
  • $132\pi$ cm$^2$
  • $192\pi$ cm$^2$
  • $228\pi$ cm$^2$
  • $216\pi$ cm$^2$
No changes

Rationale: The question and image are bi-dialect neutral. The unit 'cm' is the standard international abbreviation for centimeters and is commonly used in US mathematics education. No Australian-specific spellings (e.g., 'centimetre', 'centre'), terminology (e.g., 'maths'), or cultural references are present.

01K0RMSP9A7B7MPZBVJDQ1QQAQ Localize Spelling (AU→US)
Original
Original
A large hemisphere of radius $R$ has a smaller hemisphere of radius $r$ removed from the centre of its flat face. Derive a formula for the total surface area of the resulting solid.
  • $2\pi(R^2+r^2)$
  • $2\pi R^2 + 2\pi r^2$
  • $2\pi R^2 + \pi R^2 - \pi r^2$
  • $3\pi R^2 + \pi r^2$
A large hemisphere of radius $R$ has a smaller hemisphere of radius $r$ removed from the center of its flat face. Derive a formula for the total surface area of the resulting solid.
  • $2\pi(R^2+r^2)$
  • $2\pi R^2 + 2\pi r^2$
  • $2\pi R^2 + \pi R^2 - \pi r^2$
  • $3\pi R^2 + \pi r^2$

Rationale: The word "centre" in the question text is Australian spelling and needs to be converted to the US spelling "center". The image contains no text or units and does not require modification.

01K0RMSP9B4C9EEVV74JMW8BJY Skip No change needed
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Original
What is the volume of a sphere with a diameter of $2$ m, in terms of $\pi$?
  • $\frac{4}{3}\pi$ m$^3$
  • $4\pi$ m$^3$
  • $8\pi$ m$^3$
  • $\frac{32}{3}\pi$ m$^3$
No changes

Rationale: The question and image use the unit symbol 'm' (meters/metres) and standard mathematical terminology ('sphere', 'diameter', 'volume', 'in terms of pi') which are identical in both Australian and American English. No spelling or unit conversions are required as the abbreviation 'm' is bi-dialect neutral.

01K0RMSP9JQXE0YBZVQ6Z9YS5J Skip No change needed
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Original
A pyramid has a rectangular base of $6$ cm by $5$ cm. Its perpendicular height is $8$ cm. What is its volume?
  • $80$ cm$^3$
  • $240$ cm$^3$
  • $40$ cm$^3$
  • $48$ cm$^3$
No changes

Rationale: The question and image use the abbreviation 'cm' and standard mathematical terminology ('perpendicular height', 'rectangular base', 'volume') which are bi-dialect neutral and identical in both Australian and American English. No Australian-specific spellings (like 'centimetre') or cultural references are present.

01K0RMSP9KVAFGJJWJR0892ZHK Skip No change needed
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Original
A square pyramid has a volume of $100$ m$^3$ and a height of $12$ m. What is the side length of its base?
  • $5$ m
  • $25$ m
  • $10$ m
  • $8.3$ m
No changes

Rationale: The question and image use the unit symbol 'm' for meters/metres, which is bi-dialect neutral. No Australian-specific spellings (e.g., 'metres'), terminology, or cultural references are present in the text or the diagram.

01K0RMSP9MFCCSDJMDTYVZ138Z Skip No change needed
Original
Original
A pyramid is placed on top of a cube to form a solid. The cube has side length $6$ cm, and the pyramid shares the same base with a height of $5$ cm. What is the total volume of the solid?
  • $216$ cm$^3$
  • $360$ cm$^3$
  • $276$ cm$^3$
  • $60$ cm$^3$
No changes

Rationale: The question and image use "cm" and "cm$^3$", which are standard international symbols for centimeters and cubic centimeters used in both Australian and American English. There are no Australian-specific spellings (e.g., "centimetre"), terminology (e.g., "maths"), or cultural references present in the text or the image. The mathematical content is bi-dialect neutral.

01K0RMVPPMBBMTS2FAQ5S1AY5R Skip No change needed
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Original
Edit requested (no output)
Find the total surface area of a square pyramid with a base side length of $5$ m and a slant height of $8$ m.
  • 105 m$^2$
No changes

Rationale: The question uses international symbols (m, cm) and standard geometric terminology (square pyramid, slant height, total surface area) that are identical in both Australian and American English. No AU-specific spellings (like 'metres' or 'colour') or school-context terms (like 'Year 7') are present. While there is a minor unit discrepancy between the image (cm) and text (m), the symbols themselves are bi-dialect neutral.

Image edit: Only change '5 cm' to '5 m' in the base label to match the units in the question text, keep everything else the same | Only change '8 cm' to '8 m' in the slant height label to match the units in the question text, keep everything else the same
01K0RMVPPNTWDX3F2T7MCAEA79 Skip No change needed
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Original
A pyramid has a square base with an area of $36$ cm$^2$. The slant height of each triangular face is $10$ cm. What is the total surface area?
  • 156 cm$^2$
No changes

Rationale: The question and image use standard mathematical terminology and metric abbreviations ("cm" and "cm$^2$") that are universally accepted and used in both Australian and American English. There are no spelling differences (e.g., "centimetre" is not used, only the abbreviation) or region-specific cultural references.

01K0RMVPPTBZ0ZTNG0F270R6JH Localize Units (convert)
Original
Original
Edited
Edited
A square pyramid has a base with side length $2$ cm and a slant height of $1$ cm. Calculate the total surface area of the pyramid.
  • 8 cm$^2$
A square pyramid has a base with side length $2$ in and a slant height of $1$ in. Calculate the total surface area of the pyramid.
  • 8 in$^2$

Rationale: The question and image use metric units (cm), which are identified as requiring localization for a US audience. The conversion to US customary units (in) is straightforward and does not affect the mathematical logic or the integer nature of the answer.

Image edit: Only change '1 cm' to '1 in' in the slant height label, keep everything else the same | Only change '2 cm' to '2 in' in the base edge label, keep everything else the same
01K0RMVPPV5FJCWRYASHFYBB11 Localize Spelling (AU→US)
Original
Original
Find the total surface area of the rectangular pyramid below to the nearest square metre.
  • 187 m$^2$
Find the total surface area of the rectangular pyramid below to the nearest square meter.
  • 187 m$^2$

Rationale: The question uses the Australian spelling "metre". This needs to be converted to the US spelling "meter". The unit abbreviation "m" used in the image and the LaTeX suffix "m$^2$" are standard in both dialects and do not require modification.

01K0RMVPPW0SKVM6XJYK9JPPZM Skip No change needed
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Original
An equilateral triangular pyramid has a base area of $15.6$ cm$^2$. The base of each triangular face is $6$ cm and the slant height is $9$ cm. Calculate the total surface area.
  • 96.6 cm$^2$
No changes

Rationale: The question and image use metric units (cm) and mathematical terminology that are standard in both Australian and American English. There are no spelling differences (e.g., "cm" is used instead of "centimetre"), and the terms "slant height" and "equilateral triangular pyramid" are used identically in both dialects.

01K0RMVPPX0QVTWTH16SATTRRZ Skip No change needed
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Original
A square pyramid has a base with sides of $14$ m and a perpendicular height of $24$ m. What is its total surface area?
  • 896 m$^2$
No changes

Rationale: The question and image use the unit symbol 'm' (meters), which is the standard international symbol used in both Australian and American English. There are no spelled-out units (like 'metres'), Australian spellings, or region-specific terms present in the text or the diagram.

01K0RMVPPYC63CN8C26HQG2KRB Skip No change needed
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Original
The roof of a garden shed is a square pyramid with a base side of $3$ m and a perpendicular height of $2$ m. Find the area of the roofing material needed.
  • 15 m$^2$
No changes

Rationale: The question and image use the metric symbols 'm' and 'cm', which are bi-dialect neutral and standard in both Australian and American mathematical contexts. No Australian-specific spellings (like 'metres') or terminology are present in the text or image. Although there is a discrepancy between the text ('2 m') and the image ('2 cm'), this is a mathematical typo rather than a localization issue. Furthermore, converting units to imperial would violate the constraint to preserve LaTeX numbers and the requirement for a whole-number answer.

01K0RMVPPYC63CN8C26K2FBGQQ Skip No change needed
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Original
A pyramid has a square base. The total surface area is $340$ cm$^2$ and the slant height is $12$ cm. Find the side length of the base.
  • 10 cm
No changes

Rationale: The question and image use the abbreviation "cm" and standard mathematical terminology ("slant height", "square base", "total surface area") which are identical in both Australian and American English. No AU-specific spellings (like "centimetre") or cultural references are present.

01K0RMVPQ06R1D76SKWHVE0B7T Skip No change needed
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Original
A pyramid has a regular hexagonal base with side length $6$ m and area $93.5$ m$^2$. Each triangular face has a slant height of $10$ m. Find the total surface area of the pyramid.
  • 273.5 m$^2$
No changes

Rationale: The question and image use metric symbols ('m', 'm$^2$', 'cm', 'cm$^2$') which are standard in both Australian and American English. There are no instances of Australian-specific spelling (e.g., 'metres', 'centimetres') or terminology (e.g., 'maths'). While there is a unit discrepancy between the text (meters) and the image (centimeters), this is a content consistency issue rather than a localization requirement. Since the text and image are already bi-dialect neutral, no changes are required for a US audience.

01K0RMVPQ1BT17N40KHSC9H6S1 Skip No change needed
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Original
An open pyramid is made of four identical isosceles triangles, each with a base of $8$ cm and two equal sides of $15$ cm. Find the total outside surface area to two decimal places.
  • 231.31 cm$^2$
No changes

Rationale: The question and image use the unit abbreviation 'cm' and standard mathematical terminology, both of which are identical in Australian and American English. No regional spelling differences (like 'centimetre') or cultural references are present.

01K0RMVPQ42GZ5AKDCNMRZBP2H Skip No change needed
Original
Original
The total surface area of a square pyramid is $576$ cm$^2$. The side length of the base is equal to the slant height. Find the side length of the base.
  • 13.9 cm
No changes

Rationale: The question and image use the abbreviation "cm" for units, which is bi-dialect neutral and commonly used in both Australian and American educational contexts. There are no instances of Australian-specific spellings (such as "centimetre") or terminology (such as "maths" or "Year 7"). The mathematical terms "square pyramid," "slant height," and "side length" are standard in both dialects.

01K0RMVPQ5PW0E97YA2FKF4WBT Localize Units (convert)
Original
Original
Edited
Edited
A pyramid has a right-angled triangular base with side lengths $6$ cm, $8$ cm, and $10$ cm. The perpendicular height from the apex to the base is $15$ cm. Find the total surface area of the three sloped faces.
  • 180 cm$^2$
A pyramid has a right triangular base with side lengths $6$ in, $8$ in, and $10$ in. The perpendicular height from the apex to the base is $15$ in. Find the total surface area of the three lateral faces.
  • 180 in$^2$

Rationale: The question contains metric units (cm) and Australian terminology ("right-angled"). These require localization to US customary units (inches) and US terminology ("right triangular"). The conversion is simple as it involves four numerical values and maintains an integer answer.

Image edit: Only change '6 cm' to '6 in' in the base label, keep everything else the same | Only change '8 cm' to '8 in' in the base label, keep everything else the same | Only change '10 cm' to '10 in' in the base label, keep everything else the same | Only change '15 cm' to '15 in' in the height label, keep everything else the same
01K0RMVPQDHSRC4EDVJRPT8G13 Skip No change needed
Original
Original
Find the surface area of a sphere with a radius of $5$ cm in terms of $\pi$.
  • 100{\pi} cm$^2$
No changes

Rationale: The question and image use the unit symbol "cm", which is bi-dialect neutral and standard in both Australian and American mathematical contexts. There are no Australian-specific spellings (e.g., "centimetre"), terminology (e.g., "maths"), or cultural references present. The mathematical notation and units are already compatible with US educational standards.

01K0RMVPQMN50B6WC4PMC6HVHQ Skip No change needed
Original
Original
Find the total surface area of a hemisphere with a radius of $4$ m in terms of $\pi$.
  • 48{\pi} m$^2$
No changes

Rationale: The question and image are bi-dialect neutral. The unit symbol "m" for meters is used in both Australian and American English, and no Australian-specific spellings (like "metres") or terminology are present. The mathematical content and notation are standard for both regions.

01K0RMVPQRJJ989HRXXEKNMMF8 Skip No change needed
Original
Original
A sphere has a volume of $972\pi$ cm$^3$. Find its surface area as an exact value.
  • (324\cdot{\pi}) cm$^2$
No changes

Rationale: The question and image are bi-dialect neutral. The abbreviation 'cm' for centimeters/centimetres is identical in both US and AU English, and metric units are standard in US mathematics education. There are no AU-specific spellings (e.g., 'centimetre'), terminology, or cultural references present in the text or the image.

01K0RMVPQV562G4V4WA6XR8EKE Skip No change needed
Original
Original
A sphere fits perfectly inside a cube, touching all six faces. The surface area of the cube is $600$ cm$^2$. Find the surface area of the sphere in terms of $\pi$.
  • 100{\pi} cm$^2$
No changes

Rationale: The question uses standard mathematical terminology and metric units (cm), which are standard in US mathematics education. There are no Australian-specific spellings, cultural references, or terminology that require localization.

01K0RMVPQWHPDS6GSHPSJEKF0V Skip No change needed
Original
Original
Find the total surface area of a cone with a radius of $4$ cm and a slant height of $10$ cm in exact form.
  • 56{\pi} cm$^2$
No changes

Rationale: The question and image use the abbreviation "cm" for centimeters, which is a standard unit of measurement in both Australian and American English mathematical contexts. There are no instances of Australian-specific spellings (such as "centimetre"), terminology (such as "maths"), or cultural references. The terms "radius," "slant height," "total surface area," and "exact form" are all standard in US English. Since no localization is required to make the content suitable for a US audience, the question is classified as truly unchanged.

01K0RMVPR4SKX4R1C91NFZQ3AH Localize Units (convert)
Original
Original
Edited
Edited
The circumference of the base of a cone is $18\pi$ cm. Its slant height is $12$ cm. Find the total surface area of the cone in exact form.
  • 189{\pi} cm$^2$
The circumference of the base of a cone is $18\pi$ in. Its slant height is $12$ in. Find the total surface area of the cone in exact form.
  • 189{\pi} in$^2$

Rationale: The question and accompanying image use metric units (cm). For a US audience, these are typically converted to US customary units (in) in introductory geometry contexts. This is a simple conversion as it only requires changing the unit labels without altering the numerical values or mathematical structure.

Image edit: Only change '18π cm' to '18π in' in the label at the top, keep everything else the same | Only change '12 cm' to '12 in' in the label on the right, keep everything else the same
01K0RMVPR8YJEWXTSVH5MBT64Z Skip No change needed
Original
Original
A cone has a radius of $10$ cm and a perpendicular height of $9$ cm. Find its volume in exact form.
  • 300{\pi} cm$^3$
No changes

Rationale: The question and image use the abbreviation "cm" for centimeters and standard mathematical terminology ("radius", "perpendicular height", "volume", "exact form") which are all bi-dialect neutral between Australian and American English. No Australian-specific spellings (like "centimetre") or terms (like "maths") are present.

01K0RMVPRC0VRNCB3CJDD5YQDC Skip No change needed
Original
Original
A cone has a slant height of $13$ cm and a radius of $5$ cm. What is its volume in terms of $\pi$?
  • 100{\pi} cm$^3$
No changes

Rationale: The question and image use the unit 'cm', which is the standard abbreviation for both 'centimetre' (AU) and 'centimeter' (US). There are no AU-specific spellings (e.g., 'centimetre'), terminology (e.g., 'maths'), or cultural references present. The mathematical content and units are bi-dialect neutral and standard in US geometry curricula.

01K0RMVPRMSVXW631195F5XBE7 Skip No change needed
Original
Original
A rectangular prism measuring $10$ cm by $5$ cm by $4$ cm has a $2$ cm cube removed from one of its corners. What is the total surface area of the remaining solid?
  • 220 cm$^2$
No changes

Rationale: The question and image use the abbreviation "cm" and the term "rectangular prism," both of which are standard and neutral in both Australian and American English. No Australian-specific spellings (like "centimetre" or "colour") or terminology (like "maths" or "Year 7") are present.

01K0RMVPRNRF4GKQ263NJT3Z05 Localize Units (keep metric)
Original
Original
Calculate the total surface area of the $3$D solid below.
  • 408 cm$^2$
Calculate the total surface area of the $3$D solid below.
  • 408 cm$^2$

Rationale: The question and image contain metric units ("m" and "cm$^2$"). While these are listed as items to identify for localization, no conversion table was provided in the instructions. Furthermore, there is a unit discrepancy in the source (meters in the image vs. square centimeters in the suffix), but the numerical answer (408) is mathematically dependent on the values provided. Converting to imperial units without an approved mapping or altering the LaTeX suffix would risk the mathematical integrity of the problem. Therefore, the metric units are retained as per the "complex_keep_metric" policy.

01K0RMVPRPBBB7610VCDCBQKGT Localize Units (convert)
Original
Original
Edited
Edited
A solid is made by stacking two identical prisms with square bases of side $4$ cm and height $5$ cm. What is its total surface area?
  • 192 cm$^2$
A solid is made by stacking two identical prisms with square bases of side $4$ in and height $5$ in. What is its total surface area?
  • 192 in$^2$

Rationale: The question and image use metric units (cm), which are standard in Australia but should be localized to US customary units (in) for an American audience. The conversion is a simple unit swap (cm to in) that preserves the numerical values and the mathematical integrity of the problem, ensuring the answer remains a whole number.

Image edit: Only change '10 cm' to '10 in' in the vertical height label, keep everything else the same | Only change '4 cm' to '4 in' in the bottom-left base label, keep everything else the same | Only change '4 cm' to '4 in' in the bottom-right base label, keep everything else the same
01K0RMVPRQ750RPRRXSYZ9ZBDA Skip No change needed
Original
Original
A solid is made by attaching a hemisphere to the top of a cylinder with radius $3$ cm and height $8$ cm. Calculate the total surface area, leaving your answer in terms of $\pi$.
  • 75{\pi} cm$^2$
No changes

Rationale: The question and image use standard mathematical terminology and abbreviations that are bi-dialect neutral. The unit "cm" is a standard abbreviation used in both Australian and American English, and no spelling differences (e.g., "centimetre") or region-specific terms (e.g., "maths") are present.

01K0RMVPRQ750RPRRXSZK5ATH5 Localize Spelling (AU→US)
Original
Original
A solid cylinder has radius $5$ cm and height $10$ cm. A cylindrical hole of radius $2$ cm is drilled through its centre. Find the total surface area, including all inner and outer surfaces, in terms of $\pi$.
  • 182{\pi} cm$^2$
A solid cylinder has radius $5$ cm and height $10$ cm. A cylindrical hole of radius $2$ cm is drilled through its center. Find the total surface area, including all inner and outer surfaces, in terms of $\pi$.
  • 182{\pi} cm$^2$

Rationale: The question uses the Australian spelling "centre," which needs to be localized to the US spelling "center." While metric units (cm) are present, they are standard in US mathematics education, and no specific conversion table was provided to facilitate a move to imperial units. Therefore, only the spelling change is applied.

01K0RMVPRRXNB1WJAR0HXAQJ1Y Skip No change needed
Original
Original
A cube with side length $20$ cm has a hemisphere of radius $10$ cm carved out from its top face. Find the total surface area in terms of $\pi$.
  • 2300+{\pi} cm$^2$
No changes

Rationale: The question and image use the unit abbreviation "cm" and standard mathematical terminology that is identical in both Australian and American English. No spelling variations (e.g., "centimetre"), region-specific terms, or cultural references are present.

01K0RMVPRTG8MJJ7YB42N0B2HE Skip No change needed
Original
Original
A capsule shape is formed by a cylinder with a hemisphere at each end. The cylinder has a length of $10$ mm and a radius of $3$ mm. Find the total surface area in terms of $\pi$.
  • 96{\pi} mm$^2$
No changes

Rationale: The question and accompanying image use the abbreviation "mm" for millimeters and standard geometric terminology (cylinder, hemisphere, radius, surface area). No Australian-specific spellings (e.g., "millimetre," "centre") or terminology (e.g., "maths") are present. The content is bi-dialect neutral.

01K0RMVPRWHRSW0BZYSEV7QMGK Skip No change needed
Original
Original
A hemisphere of radius $5$ m is placed on top of a cone with the same radius and a slant height of $12$ m. Find the total surface area of the solid in terms of $\pi$.
  • 110{\pi} m$^2$
No changes

Rationale: The question and image use the unit abbreviation 'm' (meters) and standard geometric terminology ('hemisphere', 'cone', 'radius', 'slant height') which are identical in both Australian and American English. No Australian-specific spellings (such as 'metres') or cultural references are present.

01K0RMVPRXWHMW5TQ3W0FZSY12 Skip No change needed
Original
Original
A hollow cylinder has an outer radius of $10$ cm, an inner radius of $9$ cm, and a height of $20$ cm. Calculate the total surface area, including the inner and outer curved surfaces and the two circular ends, in terms of $\pi$.
  • 798{\pi} cm$^2$
No changes

Rationale: The question and image use metric abbreviations (cm) and standard mathematical terminology (radius, height, surface area) that are identical in both Australian and American English. No Australian-specific spellings (like "centimetre") or terms (like "maths") are present. Furthermore, the numerical values are contained within LaTeX delimiters, which must remain byte-identical according to the core principles, preventing any unit conversion that would require changing those values.

01K0RMVPRZVM0QHTZ9DKA47919 Skip No change needed
Original
Original
Calculate the volume of a sphere with a radius of $10$ cm to two decimal places.
  • 4188.79 cm$^3$
No changes

Rationale: The question uses the metric unit "cm" (centimeters), which is standard in both Australian and American mathematical contexts. There are no Australian-specific spellings (e.g., "centimetre") or terminology present in the text. Furthermore, the Core Principles state that all LaTeX expressions must remain byte-identical (e.g., the radius '$10$') and that LaTeX in the suffix must be preserved exactly. Since the suffix 'cm$^3$' contains LaTeX, and the radius is enclosed in LaTeX delimiters, changing the units or values would violate these core constraints.

01K0RMVPRZVM0QHTZ9DMP1AM1Y Skip No change needed
Original
Original
The radius of a spherical ball is $1$ cm. Find its volume to two decimal places.
  • 4.19 cm$^3$
No changes

Rationale: The question and image are fully bi-dialect neutral. The abbreviation "cm" for centimeters is standard in both Australian and American English, and no AU-specific spellings (like "centimetre") or terminology (like "maths") are present in the text or the image.

01K0RMVPS5KCHC19HS9ZZJ42KE Skip No change needed
Original
Original
A sphere is placed inside a cube so that it touches all six faces. If the volume of the cube is $1000$ cm$^3$, calculate the volume of the sphere as an exact value.
  • $\frac{500}{3}\pi$ cm$^3$
No changes

Rationale: The question and image are bi-dialect neutral. The unit abbreviation "cm" is used, which is the same in both Australian and American English. There are no instances of Australian-specific spelling (like "centimetre") or terminology.

01K0RMVPS8EE63SX83AVJCH0PS Skip No change needed
Original
Original
A pyramid has a square base with a side length of $6$ m and a perpendicular height of $7$ m. Find its volume.
  • 84 m$^3$
No changes

Rationale: The question and image use the unit abbreviation 'm' (meters) and standard mathematical terminology ('perpendicular height', 'square base', 'volume'), which are bi-dialect neutral. No Australian-specific spellings (like 'metres') or regional terms are present.

01K0RMVPS96GSCAYEWYNJP58YS Localize Units (convert)
Original
Original
Edited
Edited
Find the volume of a pyramid with a square base of side $1$ cm and a height of $3$ cm.
  • 1 cm$^3$
Find the volume of a pyramid with a square base of side $1$ in and a height of $3$ in.
  • 1 in$^3$

Rationale: The question and image use metric units (cm), which are standard in Australia. For a US audience, these are typically localized to customary units (in) in a geometry context. The conversion is straightforward and maintains the mathematical integrity of the problem, resulting in the same integer answer.

Image edit: Only change '1 cm' to '1 in' in the base label, keep everything else the same | Only change '3cm' to '3 in' in the height label, keep everything else the same
01K0RMVPSAZRYNGPFWD0JPHHEZ Skip No change needed
Original
Original
A pyramid with a triangular base has a base area of $18$ m$^2$ and a height of $10$ m. Calculate its volume.
  • 60 m$^3$
No changes

Rationale: The question and image use the unit abbreviation 'm' (meters/metres) and standard mathematical terminology that is identical in both Australian and American English. No AU-specific spellings, terminology, or cultural references are present.

01K0RMVPSB5A81EDB82T5KE0H5 Skip Units (keep metric)
Original
Original
What is the volume of the square-based pyramid shown?
  • 800 cm$^3$
No changes

Rationale: The question and image contain metric units (cm). While these are used in US mathematics, the classification guidelines provided identify metric units as Australian-specific content requiring evaluation. Because the volume calculation is directly dependent on the provided dimensions (20 and 6) to reach the integer answer (800), and no specific conversion table was provided to map these to US customary units, a conversion is deemed 'unsafe' to perform surgically. Thus, the metric units are preserved to maintain mathematical integrity.

01K0RMVPSCQN1DJ8DE2J8BQBYB Localize Units (keep metric)
Original
Original
Edited
Edited
A pyramid is $12$ m high and has a square base with sides of $10$ m. Find the volume.
  • 400 m$^3$
Image edit only (no text changes)

Rationale: The question uses metric units (meters and centimeters). While these units are used in the US, they are often localized to imperial units in a US educational context. However, converting these values to imperial (feet/inches) would result in non-integer values, which would violate the answer constraint ("Answer must be a whole number") and compromise the mathematical integrity of the problem. Therefore, the metric units are retained. Additionally, there is a discrepancy between the units in the text (m) and the image (cm) which requires a surgical edit to ensure consistency.

Image edit: Only change '12 cm' to '12 m' in the height label, keep everything else the same | Only change '10 cm' to '10 m' in the base label, keep everything else the same
01K0RMVPSDX7SJBRBCDJP660S6 Localize Units (keep metric)
Original
Original
Edited
Edited
A pyramid has a right-angled triangular base with the two shorter sides being $9$ cm and $10$ cm. The perpendicular height of the pyramid is $12$ cm. Calculate the volume.
  • 180 cm$^3$
A pyramid has a right-angle triangular base with the two shorter sides being $9$ cm and $10$ cm. The perpendicular height of the pyramid is $12$ cm. Calculate the volume.
  • 180 cm$^3$

Rationale: The term "right-angled" is localized to "right-angle" for a US audience. Metric units (cm) are retained to ensure the answer remains a whole number as per the constraints, as a literal conversion to imperial would result in decimals. Additionally, the image labels are surgically edited to change "m" to "cm" to match the units used in the question text and suffix.

Image edit: Only change '9m' to '9 cm' in the base label, keep everything else the same | Only change '10m' to '10 cm' in the base label, keep everything else the same | Only change '12m' to '12 cm' in the height label, keep everything else the same
01K0RMVPSDX7SJBRBCDK7YQDQY Skip No change needed
Original
Original
The pyramid shown has a square base with sides of $16$ cm and a slant height of $17$ cm. Calculate the volume of the pyramid.
  • 1280 cm$^3$
No changes

Rationale: The question and image use the abbreviation "cm" for centimeters and standard geometric terminology ("slant height", "volume", "square base") which are identical in both Australian and American English. No spelling differences (like "centimetre") or region-specific terms are present.

01K0RMVPSE6J0VYX44K4MD69GD Skip No change needed
Original
Original
A pyramid has a volume of $500$ cm$^3$ and a square base with sides of $10$ cm. What is its perpendicular height?
  • 15 cm
No changes

Rationale: The question and image use metric units (cm, cm³) and standard mathematical terminology (volume, square base, perpendicular height) that are bi-dialect neutral and commonly used in both Australian and American educational contexts. No Australian-specific spellings (e.g., "centimetre") or cultural references are present. Furthermore, since no conversion table was provided and LaTeX expressions must remain byte-identical, no unit conversions can be performed without violating the core principles.

01K0RMVPSFNY7WMHCMQ549CFQV Localize Spelling (AU→US)
Original
Original
A pyramid is carved from a cube with side length $12$ cm. The base of the pyramid matches one face of the cube, and the apex is at the centre of the opposite face, directly above the centre of the base. Find the volume of the pyramid.
  • 576 cm$^3$
A pyramid is carved from a cube with side length $12$ cm. The base of the pyramid matches one face of the cube, and the apex is at the center of the opposite face, directly above the center of the base. Find the volume of the pyramid.
  • 576 cm$^3$

Rationale: The question text contains the Australian spelling "centre" (used twice), which needs to be localized to the American English spelling "center". The units used are metric (cm, m), which are commonly used in US mathematics curricula, and since no specific conversion table was provided to map metric values to imperial ones while maintaining integer answers, the units remain unchanged. The image contains a label "12m" which is bi-dialect neutral in its symbolic form.

01K0RMVPSFNY7WMHCMQ6DZXVCX Skip No change needed
Original
Original
A pyramid has a rectangular base with dimensions $2.5$ m by $4$ m. Its height is $6$ m. Calculate the volume.
  • 20 m$^3$
No changes

Rationale: The question and image are bi-dialect neutral. The unit abbreviation "m" is used instead of the full word "metres/meters", and the mathematical terminology ("pyramid", "rectangular base", "height", "volume") is identical in both Australian and American English. No Australian-specific spellings, cultural references, or date formats are present.

01K0RMVPSGEQW4QTG0FKAF5069 Skip No change needed
Original
Original
A pyramid has a rectangular base measuring $6$ cm by $8$ cm. All slanted edges from the apex to the corners are $13$ cm. What is its volume?
  • 192 cm$^3$
No changes

Rationale: The question and image use the unit abbreviation "cm" and standard mathematical terminology (pyramid, apex, volume, rectangular base) which are identical in both Australian and American English. There are no spelling differences (e.g., "centimetre") or regional terms present.

01K0RMVPSJS067DY2XRQQCDV2R Skip No change needed
Original
Original
A pyramid-shaped container has a square base of side length $10$ m and a perpendicular height of $12$ m. It is filled with water to a depth of $6$ m. What is the volume of the water?
  • 50 m$^3$
No changes

Rationale: The question and image use the SI symbol 'm' for meters/metres, which is bi-dialect neutral and standard in both Australian and American English mathematical contexts. There are no instances of Australian-specific spellings (e.g., 'metres', 'centre', 'colour') or terminology (e.g., 'maths', 'Year 7') in the text or the diagram. Since the content is already fully compatible with a US audience, no localization is required.

01K0RMVPT5CTVH23A6S27KW7RW Localize Units (keep metric)
Original
Original
A water trough is in the shape of a triangular prism that is $2$ m long. Each end is an equilateral triangle with side lengths of $60$ cm. Find the total surface area in square metres, correct to two decimal places.
  • 2.71 m$^2$
A water trough is in the shape of a triangular prism that is $2$ m long. Each end is an equilateral triangle with side lengths of $60$ cm. Find the total surface area in square meters, correct to two decimal places.
  • 2.71 m$^2$

Rationale: The question uses the Australian spelling "metres" and metric units (m, cm). While US localization often involves converting to customary units, the calculation for the surface area of this trough involves equilateral triangles and specific dimensions that result in the provided answer of 2.71. Converting these to imperial units (inches/feet) would involve irrational numbers (sqrt(3)) and would result in a complex decimal that does not align with the clean answer key. Therefore, the metric units are retained to preserve mathematical integrity, and only the spelling is localized.

01K94WPKSGSGJ0952V8EE4JAS8 Skip No change needed
Original
Original
What is the weight of the apples shown on the scale? Give your answer in kg.
  • $2.25$ kg
  • $2.75$ kg
  • $2.5$ kg
  • $3.0$ kg
No changes

Rationale: The question and image are bi-dialect neutral. The terminology ("weight", "scale"), spelling ("kilograms"), and units ("kg") are standard in both Australian and American English. Metric units are a standard part of the US mathematics curriculum, and since the units are contained within LaTeX delimiters in the answers, they must remain unchanged to preserve mathematical integrity.

01K94WPKSJEHVNPCQ2RE7901XW Skip No change needed
Original
Original
The left scale shows the weight of an empty container, and the right shows it filled with sand. What is the weight of the sand?
  • $2$ kg
  • $2.75$ kg
  • $3$ kg
  • $2.5$ kg
No changes

Rationale: The text and image use "kilograms," which is the standard American English spelling. No other Australian-specific spellings, terminology, or cultural references are present in the question or the image. Metric units are standard in US mathematics curricula and are retained here.

01K94WPKSK8XV5F4TQ3EB0RM8P Skip No change needed
Original
Original
The scale’s unit of measurement is missing. If the value shown represents half of the actual weight in kilograms, calculate the weight of the package in kilograms.
  • $12.5$ kg
  • $25$ kg
  • $10$ kg
  • $30$ kg
No changes

Rationale: The question content and answer choices are already fully compatible with American English. The term "kilograms" and the abbreviation "kg" are standard in the US, especially in mathematical and scientific contexts. No Australian-specific spellings (such as "analogue" or "grammes"), terminology, or cultural references are present in the editable text fields or the image. While the skill title contains the word "analogue," it is not part of the question fields provided for conversion.

01K94WPKSMDKM7T83CM6S2ZT4S Skip No change needed
Original
Original
What is the total weight of the two packages shown on the scales?
  • $8.5$ kg
  • $1.25$ kg
  • $3.5$ kg
  • $8.25$ kg
No changes

Rationale: The question text and image are bi-dialect neutral. The spelling "kilograms" and the abbreviation "kg" are standard in both American and Australian English. The term "weight" and the plural "scales" (referring to two separate devices) are also appropriate for both audiences. No localization is required for the provided fields.

01K94XMXR3EVF9MYY9Z6XPQRG6 Skip No change needed
Original
Original
A cylindrical pipe has an outer radius of $7$ cm, an inner radius of $5$ cm, and a height of $15$ cm. Calculate its total surface area in terms of $\pi$.
  • 408\pi cm$^2$
No changes

Rationale: The question and image use the metric abbreviation 'cm' and standard mathematical terminology that is common to both Australian and American English. No spelling differences (like 'centimetre') or region-specific terms are present.

01K94XMXSYX4G8QRB2BS9M1BF5 Skip No change needed
Original
Original
A pie chart represents a monthly budget of $\$3000$. The 'Rent' sector has an angle of $120^\circ$. How much money is allocated to rent?
  • 1000
No changes

Rationale: The text and image use terminology and spelling that are identical in both Australian and American English. There are no metric units, specific cultural references, or spelling differences (like 'colour' or 'centre') that require localization.

01K9CJKKY1P8F0WFMK932ZF838 Skip No change needed
Original
Original
Explain why $2.5$ hours is equal to $2$ hours and $30$ minutes, not $2$ hours and $50$ minutes.
  • The decimal $0.5$ means half of a unit. An hour has $60$ minutes, so half an hour is $0.5 \times 60 = 30$ minutes. Thus, $2.5$ hours is $2$ hours, $30$ minutes.
No changes

Rationale: The question and image use terminology and spelling that are identical in both Australian and American English. There are no units, cultural references, or spelling differences (like 'maths' or 'metres') that require localization.

01K9CJKKY4AJ52A6TZQYKY9YPY Skip No change needed
Original
Original
Explain how dividing a hexagon into triangles helps find its total angle sum.
  • Drawing diagonals from one vertex divides the hexagon into $4$ triangles. Since each triangle’s angles add to $180^\circ$, the total angle sum is $4 \times 180^\circ = 720^\circ$.
No changes

Rationale: The question and answer text use terminology and spelling that are identical in both Australian and American English. The image is a simple geometric shape with no labels or units.

01K9CJKKYN38J7F68EP9E773G2 Skip No change needed
Original
Original
How can you tell a triangle inside a circle is a right triangle without measuring?
  • If one side is the diameter, the right angle is opposite it.
No changes

Rationale: The text and image use mathematical terminology and notation that are identical in both Australian and American English. The term "right triangle" is already used (which is the standard US term, whereas AU often uses "right-angled triangle"), and there are no units, specific spellings, or cultural references requiring localization.

01K9CJKKYWDJ2K2FEH2PSWPBP4 Localize Spelling (AU→US)
Original
Original
Would you measure a swimming pool’s capacity in millilitres or litres? Why?
  • In litres. Millilitres are too small for such a big amount of water, and the number would be far too large.
Would you measure a swimming pool’s capacity in milliliters or liters? Why?
  • In liters. Milliliters are too small for such a big amount of water, and the number would be far too large.

Rationale: The question and answer use the Australian spellings of metric units ("millilitres" and "litres"). These must be converted to the US spellings ("milliliters" and "liters"). No other localization is required as the metric units themselves are appropriate for the pedagogical context of identifying units of capacity.

01K9CJKKYXP0ENTCD6HR9F6A62 Skip No change needed
Original
Original
What makes a shape a rectangle?
  • A rectangle has $4$ straight sides and $4$ corners that make square angles. The opposite sides are the same length.
No changes

Rationale: The question and answer text use terminology and spelling that are identical in both Australian and American English. The image is a simple geometric shape with no labels, units, or text.

01K9CJKKZ161R7VKZXFGF1N83A Skip No change needed
Original
Original
Explain why the formula for a cone's total surface area includes $\pi r^2$ and $\pi rl$.
  • A cone’s surface area has two parts: the circular base and the curved surface. $\pi r^2$ gives the base area, and $\pi rl$ gives the area of the curved surface, where $l$ is the slant height.
No changes

Rationale: The text and image use standard mathematical terminology and notation that is identical in both Australian and American English. There are no units, specific spellings (like 'centre' or 'metres'), or school-context terms (like 'Year 7') that require localization.

01K9CJKM07WZBZA3R4Q53P5PFT Skip No change needed
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Explain the relationship between the sum of a graph's vertex degrees and its total number of edges.
  • The sum of the degrees of all vertices is always exactly double the number of edges. This is because each edge connects to two vertices, contributing one to the degree of each.
No changes

Rationale: The text and image are entirely dialect-neutral. The mathematical terminology ('vertex', 'degree', 'edge') and spelling are identical in both Australian and American English. There are no units, cultural references, or region-specific date/currency formats.

01K9CJV86ACTX24N0C6M7AZHP3 Localize Spelling (AU→US)
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Original
Why must any angle that is inscribed in a semicircle be a right angle?
  • The angle at the centre subtended by the diameter is a straight line ($180^\circ$). The angle at the circumference is always half the angle at the centre, so it must be $90^\circ$.
Why must any angle that is inscribed in a semicircle be a right angle?
  • The angle at the center subtended by the diameter is a straight line ($180^\circ$). The angle at the circumference is always half the angle at the center, so it must be $90^\circ$.

Rationale: The word "centre" is used in the answer text, which is the Australian spelling. It needs to be converted to the US spelling "center". No other localization is required.

01K9CJV86G8KTWACHY7B3524Y0 Skip No change needed
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What makes a cone different from other $3$D shapes?
  • A cone has a round base and one curved surface that comes to a point at the top. It only has one flat face and one vertex, which gives it its pointy shape.
No changes

Rationale: The text and image use mathematical terminology and spelling that are identical in both Australian and American English. There are no units, specific school year references, or regional spellings (like 'colour' or 'centre') present in the content or the diagram.

01K9CJV86J1NFPGXXGX7J0X5BV Skip No change needed
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Original
Why does a kite look like it has a “top” and a “bottom” point?
  • Because its sides meet to make two sharp corners, helping the shape look like it’s pointing up and down.
No changes

Rationale: The question and answer text use dialect-neutral language. There are no Australian-specific spellings, units, or cultural references in either the text or the image.

01K9CJV86NCFMWGSDEVH7HGTAT Skip No change needed
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Original
Why does an oblique prism have the same volume as a right prism if they share the same base and perpendicular height?
  • Matching cross-sections at every height means equal volumes. Right and oblique prisms with the same base and perpendicular height have identical cross-sections, so their volumes match.
No changes

Rationale: The terminology ("right prism", "oblique prism", "cross-section", "perpendicular height") and spelling used in both the text and the image are identical in Australian and American English. There are no units, currency, or cultural references requiring localization.

08FFtQ7lTBkqz84YkoCQ Skip Units (keep metric)
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The light source $O$ casts a shadow $SS'$ of the tree $TT'$. What is the distance of the light source from the tree?
  • 12.5 m
No changes

Rationale: The question and image contain metric units ("m"). While these are standard abbreviations in both Australian and American English, metric units are often localized in a US educational context. However, because the mathematical solution (12.5) is directly dependent on the provided values and no conversion table was provided to map these to imperial units while maintaining the required answer format, the units are kept as metric to preserve mathematical integrity.

09bd4e4f-d7aa-4c90-a243-bde662aee66b Skip No change needed
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Original
How can you tell that a shape is a rectangle?
  • A rectangle is a shape with four straight sides and four square corners.
No changes

Rationale: The question and answer text use terminology and spelling that are identical in both Australian and American English. The image is a simple geometric shape with no text, labels, or units.

0HWwQXdKQXHIXzg7f0lS Skip No change needed
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Find the value of angle $x$ in the figure given below.
  • $x=$ 60 $^\circ$
No changes

Rationale: The question and image use universal mathematical notation and terminology. There are no Australian-specific spellings, units, or cultural references present in the text or the diagram.

0jvVrsrZ1gsZOOQ87vp1 Skip No change needed
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Original
Fill in the blank. The figure below is a combination of $[?]$.
  • Two rectangles and two triangles
  • A rectangle, a square and a triangle
  • Two triangles and a rectangle
  • Three rectangles
No changes

Rationale: The question text and the image do not contain any Australian-specific spelling, units, or terminology. The content is dialect-neutral.

0mawzf3IhJ4cMjEnIrA2 Skip No change needed
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Original
A point on the ground is a distance of $20$ m from the top of a tree of height $10$ m. What is the angle (in degrees) made from the point on the ground to the top of the tree?
  • $\theta=$ 30 $^\circ$
No changes

Rationale: The question and image use the abbreviation 'm' for units, which is the standard abbreviation for both 'metres' (AU) and 'meters' (US). There are no Australian-specific spellings, terminology, or cultural references in the text or the image. The mathematical notation and context are bi-dialect neutral.

0muN7E5aeUsKKs1qWUmH Skip No change needed
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Which of the following is a rectangular prism?
  • Shape A
  • Shape B
  • Shape D
  • Shape C
No changes

Rationale: The question and image use mathematical terminology ("rectangular prism") and labels ("Shape A", "Shape B", etc.) that are identical in both Australian and American English. There are no units, specific spellings, or cultural references present.

0qlj8uuHcy18fIASXsuM Localize Units (convert)
Original
Original
The perimeter of the given equilateral triangle is $6$ cm. Find its side length.
  • 2 cm
The perimeter of the given equilateral triangle is $6$ in. Find its side length.
  • 2 in

Rationale: The question uses the metric unit 'cm' (centimeters) in the content and suffix. For US localization, simple geometric problems typically use US customary units like 'in' (inches). The conversion is straightforward and does not change the numerical answer or the mathematical integrity of the problem.

0wKikpTARKX0lluwuVTy Skip No change needed
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Fill in the blank. The right-endpoint estimate for the area of a decreasing function is $[?]$ than the actual area.
  • Greater
  • Less
No changes

Rationale: The text and image use standard mathematical terminology and notation that is identical in both Australian and American English. There are no units, AU-specific spellings, or cultural references.

0yIbzhTA8rMmjP2xrJfG Skip No change needed
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True or false: In a regular prism, the faces connecting the two bases are always rectangles.
  • False
  • True
No changes

Rationale: The question text and the image are mathematically and linguistically neutral. There are no Australian-specific spellings, units, or cultural references present.

0zifxlG5IVD1VcNB18a8 Skip No change needed
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Original
Given the angles $30^\circ$ and $150^\circ$ in the diagram, which of the following best describes their relationship?
  • Neither complementary nor supplementary
  • Both complementary and supplementary
  • Supplementary
  • Complementary
No changes

Rationale: The question and image use standard mathematical terminology ("complementary", "supplementary") and notation (degrees) that are identical in both Australian and American English. There are no spelling differences or regional units present.

16Q4MID1BPpPwkSaGGw2 Skip No change needed
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Original
Find the perimeter of the given figure.
  • 44 m
No changes

Rationale: The question and image use the universal unit symbol 'm' (meters/metres) and standard mathematical terminology ('perimeter', 'figure'). No Australian-specific spellings (e.g., 'metres'), terminology, or cultural references are present. Since the unit symbol 'm' is identical in both Australian and American English and no specific unit conversion mapping was provided in the instructions, the content is considered bi-dialect neutral.

18vLCW7hEnnmeKjpoBUb Localize Units (convert)
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Edited
Edited
What is the area of the circle below?
  • 12.57 cm$^{2}$
What is the area of the circle below?
  • 12.57 in$^{2}$

Rationale: The question and image use metric units (cm), which are identified as AU-specific content in the provided guidelines. The conversion to US customary units (in) is straightforward and does not affect the mathematical calculation or the numerical answer, as the radius value remains 2.

Image edit: Only change '2 cm' to '2 in' in the radius label, keep everything else the same
1B6XmOslP9WjRFzAyB1O Skip No change needed
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Given $\triangle LMN \cong \triangle XYZ$ and $XY=XZ$, find the measure of $\angle L$.
  • $\angle L = $ 50 $^\circ$
No changes

Rationale: The question uses standard mathematical terminology and notation that is identical in both Australian and American English. There are no units, specific spellings (like 'centre' or 'metres'), or cultural references that require localization.

1EZGa2QRFlQHOfnjVGPt Skip No change needed
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Original
True or false: This is an obtuse angle.
  • False
  • True
No changes

Rationale: The question and image use mathematical terminology ("obtuse angle") and spelling ("True", "False") that are identical in both Australian and American English. There are no units, cultural references, or specific regional terms present.

1NvLG6F7z1i5aiowytsg Skip No change needed
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Original
Find the area of the given triangle.
  • 35 cm$^2$
No changes

Rationale: The question and image use the international symbol 'cm' for centimeters, which is standard in both Australian and American English. There are no regional spelling differences (such as "centimetre" vs "centimeter") or Australian-specific terminology or cultural references present in the text or the image.

1QHHtDJczGyGDDSerBET Skip No change needed
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True or false: The given triangles are similar.
  • True
  • False
No changes

Rationale: The question text and the image use universal mathematical terminology and notation. There are no units, Australian-specific spellings, or cultural references that require localization.

1Xg0gAyLQY1YuLOGSssI Skip No change needed
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Original
What is the circumference of a circle with a diameter of $1$ cm?
  • 3.14 cm
No changes

Rationale: The question and image use the abbreviation 'cm' for centimeters and standard mathematical terminology ('circumference', 'diameter', 'circle'). These are identical in both Australian and American English. No regional spelling differences (like 'centimetre' or 'maths') or cultural references are present.

1bpxe0CkZwNoL3a4SMjR Skip No change needed
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Which of these is not a prism?
  • E
  • A and B
  • D and E
  • B
No changes

Rationale: The text and image are entirely dialect-neutral. There are no units, specific spellings, or cultural references that require localization between Australian and American English.

1ebIxgWDC29jdv7RKxjU Skip No change needed
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Identify the type of triangle in the image below.
  • Equilateral triangle
  • Right triangle
  • Isosceles triangle
  • Scalene triangle
No changes

Rationale: The question text, answer choices, and image labels use terminology and notation that are standard in both Australian and American English. No specific AU spelling, units, or cultural references are present.

1fUclqwdGrA9KmP66uh3 Localize Units (convert)
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Given that $\Delta ABC$ $\cong$$\Delta CDA$, find length $\overline{AD}$.
  • 5 cm
Given that $\Delta ABC$ $\cong$$\Delta CDA$, find length $\overline{AD}$.
  • 5 in

Rationale: The question and image use centimeters (cm), which is a metric unit. For US localization, this should be converted to a US customary unit like inches (in).

Image edit: Only change '5 cm' to '5 in' in the label for side BC, keep everything else the same
1fqN5qpvSskURXJI52RM Skip No change needed
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What does $\overrightarrow{AB}$ represent?
  • An angle
  • A ray
  • A line segment
  • A line
No changes

Rationale: The terminology ("ray", "line segment", "line", "angle") and the mathematical notation ($\overrightarrow{AB}$) are identical in both Australian and American English. There are no units, regional spellings, or cultural references present in the text or the image.

1gpMnyRVb7lgfGtAuney Skip No change needed
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The area of $\triangle$ $ABC$ is $6$ cm$^2$, and $\triangle$ $PQR$ is $54$ cm$^2$. If $\triangle$ $ABC$ is a scaled-down version of $\triangle$ $PQR$ , what is the length of side $AB$?
  • $\overline{AB}=$ 3 cm
No changes

Rationale: The question and image use the metric abbreviation 'cm' and 'cm²', which are standard in both Australian and American mathematical contexts. There are no instances of Australian-specific spellings (e.g., 'centimetres'), terminology, or cultural references. The content is bi-dialect neutral.

1i470roijW34XQfRZBC6 Skip No change needed
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What is the length of the opposite side in the diagram below?
  • 15 m
No changes

Rationale: The question, suffix, and image use the unit symbol "m" (meters/metres) and standard mathematical terminology ("opposite side", "length", "diagram") which are identical in both Australian and American English. No Australian-specific spellings (like "metre") or terminology (like "maths") are present.

1nYCOgIquJALBKhCcWyF Skip No change needed
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A park has an area of $0.25$ km$^2$. How many m$^2$ is this equivalent to?
  • 250000 m$^2$
No changes

Rationale: The question and image are bi-dialect neutral. The text uses standard metric symbols ($km^2$ and $m^2$) which are used in both Australian and American mathematics. There are no Australian-specific spellings (like "metres"), terminology, or cultural references in the text or the illustration.

1ugtWLccCKuKuZ7o4g5U Skip No change needed
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Original
What is the total surface area of the following shape?
  • 62 cm$^2$
No changes

Rationale: The question and image use standard mathematical terminology and the metric abbreviation "cm", which are identical in both Australian and American English. No spelling differences (like "centimetre" vs "centimeter") are present, and no unit conversions are required as "cm" is standard in US math curricula and no conversion table was provided.

20tdX02Fn1S9pktce6ct Localize Units (convert)
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Edited
Edited
Find the perimeter of the quarter circle shown in the image below.
  • 24.99 cm
Find the perimeter of the quarter circle shown in the image below.
  • 24.99 in

Rationale: The question and image use the metric unit 'cm' (centimeters). For a US audience, metric units in a geometry context are typically localized to US customary units like 'in' (inches). This is a simple conversion as it only involves swapping the unit label while preserving the numerical value to maintain mathematical integrity.

Image edit: Only change '7 cm' to '7 in' in the label below the horizontal radius, keep everything else the same
221j2tRlu9tNI7Lisg4V Skip No change needed
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Which of the following semicircles is represented by the equation $x=\sqrt{5-\left(y-5\right)^{2}}-9$ ?
  • D
  • B
  • A
  • C
No changes

Rationale: The text and image use standard mathematical terminology and notation that are identical in both Australian and American English. There are no units, region-specific spellings (like "centre" or "colour"), or cultural references present.

25GJTgp8USVUe28aBNXR Skip No change needed
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The angles are supplementary. Find $θ$ in the figure.
Hint: Supplementary angles add up to $180^\circ$.
  • $\theta=$ 133 $^\circ$
No changes

Rationale: The terminology ("supplementary angles"), spelling, and units (degrees) used in both the text and the image are identical in Australian and American English. No localization is required.

26h5frTKyWbJlKrdTSyh Skip No change needed
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Find the circumference of a circle with a diameter of $7$ m.
  • 21.99 m
No changes

Rationale: The question and image are bi-dialect neutral. The mathematical terms "circumference," "diameter," and "circle" are spelled identically in both Australian and American English. The unit symbol "m" (for metres/meters) is the standard international symbol used in both regions. Since no AU-specific spellings (like "metres" or "centre") or cultural references are present, and the unit symbol "m" is common in US mathematical contexts, no localization is required.

29OgZUGllL1zf6WmP3jZ Skip No change needed
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Original
What is the value of $\theta$ (in degrees) in the figure below?
  • $\theta=$ 60 $^\circ$
No changes

Rationale: The question and image use universal mathematical notation and terminology. There are no units, Australian-specific spellings, or cultural references that require localization.

29fe2MVAZZJQE3dR6htj Skip No change needed
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Original
Which of the following triangles shows that $AB=AC$?
Hint: The triangles are not drawn to scale.
  • Triangle $4$
  • Triangle $3$
  • Triangle $2$
  • Triangle $1$
No changes

Rationale: The question and image use standard geometric notation (lettered vertices and tick marks for side equality) and neutral English terminology that does not require localization for a US audience.

2EFJd2GwUecT37EEhVXB Skip No change needed
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In the given figure, $\overline{DC}=\overline{AB}$, $\overline{BC}=\overline{AD}$ and $\angle BDC=60^\circ$. Which of the following angles must also be equal to $60^\circ$ ?
  • $\angle ABD$
  • $\angle ADC$
  • $\angle CBD$
  • $\angle ADB$
No changes

Rationale: The question and image use standard mathematical notation and terminology that are identical in both Australian and American English. There are no units, specific spellings, or cultural references requiring localization.

2GCqPNpkGdxU6KBsvRu6 Skip No change needed
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Fill in the blank: If an angle is greater than $180^\circ$ and less than $360^\circ$, the angle can be described as a/an $[?]$ angle.
  • Straight
  • Reflex
  • Obtuse
  • Acute
No changes

Rationale: The question uses standard geometric terminology (acute, obtuse, straight, reflex) and notation (degrees) that are identical in both Australian and American English. The image contains no text or units requiring localization.

2Ijd7AVcBeCosBl3anYz Localize Spelling (AU→US)
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Find the measure of $\angle OCD$ where $O$ is the centre.
Hint: Diagram is not drawn to scale.
  • 25 $^\circ$
Find the measure of $\angle OCD$ where $O$ is the center.
Hint: Diagram is not drawn to scale.
  • 25 $^\circ$

Rationale: The word "centre" in the question text is the Australian spelling and needs to be converted to the US spelling "center". The image contains only mathematical labels and values which are dialect-neutral.

2MmkMqYr3oYz2OERYLSM Skip No change needed
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Original
A $4$ m tall pole makes a $3$ m long shadow on the ground. Find the distance between the top of the pole and the end of the shadow.
  • 5 m
No changes

Rationale: The question and image use the unit abbreviation 'm', which is bi-dialect neutral (representing both 'metres' and 'meters'). The terminology used ('pole', 'shadow', 'distance') and the mathematical context are standard in both Australian and American English. No Australian-specific spellings or cultural references are present.

2Of5N8tGi7vqVBF386XA Localize Units (convert)
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Edited
Edited
A rectangular floor has $10$ tiles each with dimensions $4$ m $\times$ $5$ m. Find the width of the floor if it is $20$ m long.
  • 10 m
A rectangular floor has $10$ tiles each with dimensions $4$ ft $\times$ $5$ ft. Find the width of the floor if it is $20$ ft long.
  • 10 ft

Rationale: The question and image use metric units (meters/m), which are identified in the classification rules as requiring localization for a US audience. The conversion to imperial units (feet/ft) is straightforward, preserves the mathematical logic of the problem, and maintains the required integer answer.

Image edit: Only change '4 m' to '4 ft' in the label above the tile, keep everything else the same | Only change '5 m' to '5 ft' in the label to the right of the tile, keep everything else the same | Only change '20 m' to '20 ft' in the label below the floor, keep everything else the same
2WUNXr3PLDljNZrlb2V8 Skip No change needed
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What is the time shown on the clock?
  • $4$:$00$
  • $12$:$21$
  • $4$:$12$
  • $12$:$15$
No changes

Rationale: The question text and the image are both dialect-neutral. The LaTeX expressions for time are standard and do not require localization. No Australian-specific spelling, units, or terminology are present in the provided fields or the image.

2bEVn60XGJDYcjP6JdGY Skip No change needed
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Identify the figure in the image below
  • Arc
  • Ray
  • Line segment
  • Line
No changes

Rationale: The text and image are mathematically neutral and do not contain any Australian-specific spelling, units, or terminology.

2jFXKLruqQtqf7gcxVZX Skip No change needed
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Which of the objects below is closest in shape to a triangular prism?
  • A
  • D
  • C
  • B
No changes

Rationale: The question uses standard mathematical terminology ("triangular prism") and generic objects (tent, matchbox, can, soccer ball) that are common to both Australian and American English. There are no spelling differences, unit conversions, or cultural references requiring localization.

2mtZLmwBRrSAnyhimj9d Skip No change needed
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The small sphere is scaled up by a factor of $\frac{9}{4}$ to make the larger sphere. What is the volume of the larger sphere?
  • 3053.63 cm$^3$
No changes

Rationale: The question and image use metric abbreviations (cm) and mathematical terminology (sphere, volume, scale factor) that are identical in both Australian and American English. No spelling differences (like "centimetre") or region-specific cultural references are present. As "cm" is a standard unit in US mathematics education and no specific unit conversion list was provided to mandate a change to US Customary units, the content is classified as truly unchanged.

2sEka9sbuZUO7HNpwiuZ Skip No change needed
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Original
What is the surface area of the following shape?
  • 75.4 m$^2$
No changes

Rationale: The question and image are fully bi-dialect neutral. The unit symbol "m" (meters) is the standard international symbol used in both Australian and American English. There are no instances of Australian-specific spelling (like "metres") or terminology (like "maths") in the text or the image.

2xIG6gKQQ4ceInvHSpmz Skip No change needed
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Find the length of a rectangle with a width of $8$ cm and an area of $120$ cm$^2$.
  • 15 cm
No changes

Rationale: The question uses standard metric abbreviations ("cm") and mathematical terminology ("length", "width", "area") that are identical in both Australian and American English. No localization is required.

31Us0QeNivSwTbhCsC7M Localize Units (convert)
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Edit requested (no output)
Mya draws an elephant inside a rectangle and then creates a smaller version by scaling the rectangle proportionally. If the area of the smaller rectangle is $2.88$ cm$^2$, find its length.
Hint: Area scale factor=$k^2$
  • 2.4 cm
Mya draws an elephant inside a rectangle and then creates a smaller version by scaling the rectangle proportionally. If the area of the smaller rectangle is $2.88$ in$^2$, find its length.
Hint: Area scale factor=$k^2$
  • 2.4 in

Rationale: The question uses metric units (cm, cm²), which are converted to imperial units (in, in²) for US localization. This is a simple unit swap that preserves the numerical values and mathematical logic, as the scale factor relationship remains identical regardless of the unit system used.

Image edit: Only change '6 cm' to '6 in' in the label above the first rectangle, keep everything else the same | Only change '3 cm' to '3 in' in the label to the left of the first rectangle, keep everything else the same
32lh7x2KKzJhvwp8WUSm Skip No change needed
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Which of the following shapes is not part of the composite shape below?
  • Triangle
  • Rectangle
  • Rhombus
  • Semicircle
No changes

Rationale: The question text and answer choices use terminology and spelling that are identical in both Australian and American English. The image contains no text, units, or cultural references.

34Piov9fjT2zli5TG9ac Skip No change needed
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Consider vertically opposite angles $\angle AOC$ and $\angle DOE$. If $\angle AOB = 38^\circ$ and $\angle EOD = 112^\circ$, what is $\angle BOC$ ?
  • $\angle BOC =$ 74 $^\circ$
No changes

Rationale: The question uses standard geometric terminology ("vertically opposite angles") and notation that is common to both Australian and American English. There are no units, regional spellings, or cultural references requiring localization.

37Tn1fe11A7FtiBdYtkh Localize Spelling (AU→US)
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$50$ seeds are to be planted every square metre of a garden. How many seeds are required for a garden with a width of $7.8$ m and a length of $10$ m?
  • 3900 seeds
$50$ seeds are to be planted every square meter of a garden. How many seeds are required for a garden with a width of $7.8$ m and a length of $10$ m?
  • 3900 seeds

Rationale: The question uses the Australian spelling "metre" in the text, which needs to be converted to the American English spelling "meter". The unit symbol "m" used in both the text and the image is universal and does not require localization. No unit conversion to US Customary (e.g., feet) was performed because no conversion table was provided in the instructions, and maintaining the metric units preserves the mathematical integrity and the whole-number answer constraint.

3AHqmPLaDqM45HmLYMsC Skip No change needed
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Original
What missing value makes the following triangle an equilateral triangle?
  • $20$
  • $8$
  • $5$
  • $10$
No changes

Rationale: The question text, image labels, and answer choices contain no Australian-specific spelling, units, or terminology. The content is mathematically and linguistically neutral.

3EiQ5zYdIysLOoaZWVlS Localize Terminology (AU→US)
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Edited
True or false: The mass of a packet of chips is best measured in grams.
  • False
  • True
True or false: The mass of a bag of chips is best measured in grams.
  • False
  • True

Rationale: The question requires localization for terminology ("packet" to "bag") and spelling ("flavoured" to "flavored" in the image). While metric units are used, they are retained because the pedagogical focus is on "mass," which is taught using metric units (grams/kilograms) in the US curriculum, whereas "weight" is associated with US customary units.

Image edit: Only change 'potato flavoured' to 'potato flavored' in the dark blue ribbon, keep everything else the same
3GXIwQd9ZXsTTMlneE05 Localize Units (convert)
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Edit requested (no output)
Find the perimeter of the following shape.
  • 6.0 cm
Find the perimeter of the following shape.
  • 6.0 in

Rationale: The question uses metric units (cm), which are standard in Australia. For a US audience, these are typically localized to US customary units such as inches (in) in introductory geometry problems. The conversion is straightforward and the numerical values are preserved to maintain the mathematical integrity of the perimeter calculation.

Image edit: Only change '1.8 cm' to '1.8 in' in the top label, keep everything else the same | Only change '1.2 cm' to '1.2 in' in the right label, keep everything else the same
3J5XKsvCFVbUWMlFmdrv Skip No change needed
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What type of angle is shown in the image?
  • Straight angle
  • Right angle
  • Reflex angle
  • Acute angle
No changes

Rationale: The question, answers, and image use standard geometric terminology (reflex, acute, straight, right) that is identical in both Australian and American English. There are no units, spellings, or cultural references requiring localization.

3OrIz8UyKtphnBL8IwG0 Skip No change needed
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Find $\overline{AC}$. (Give your answer to the nearest whole number.)
  • 3
No changes

Rationale: The question and image use universal mathematical notation and contain no Australian-specific spelling, units, or terminology. The content is bi-dialect neutral.

3T864xvVk5rSC8QFWnwP Localize Units (keep metric)
Original
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Find the area of the trapezium if the area of $\triangle{DBC}$ is $36$ cm$^2$.
  • 140 cm$^2$
Find the area of the trapezoid if the area of $\triangle{DBC}$ is $36$ cm$^2$.
  • 140 cm$^2$

Rationale: The term "trapezium" is used, which requires localization to "trapezoid" for a US audience. Metric units (cm, cm^2) are present in both the text and the image. These units are kept because converting them to imperial units would result in non-integer values, which would violate the "Answer must be a whole number" constraint.

3UcYoyyWqtLLYxtdTEqa Localize Units (keep metric)
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What is the height of the trapezium shown below if its area is $18.02$ m$^2$?
  • 4 m
What is the height of the trapezoid shown below if its area is $18.02$ m$^2$?
  • 4 m

Rationale: The question uses the Australian term "trapezium" (US: "trapezoid") and metric units. While units are often converted for US audiences, these specific metric values are precisely calibrated to result in a whole-number answer (4). Converting them to imperial units would result in complex decimals and violate the "whole number" answer constraint, making it a complex/unsafe conversion. Therefore, terminology is localized while metric units are retained.

3bKmhnLF7T5eDLWEuK7z Skip No change needed
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Original
What is the volume of the cone below?
  • 565.49 cm$^3$
No changes

Rationale: The question and image are bi-dialect neutral. The abbreviation "cm" for centimeters/centimetres is standard in both Australian and American English. There are no instances of Australian-specific spelling (e.g., "centimetre"), terminology (e.g., "maths"), or cultural references. Since no conversion table was provided and "cm" is commonly used in US mathematics education, the content remains unchanged to preserve mathematical integrity.

3dfCtrR2DKkEYxUJ8MxE Skip No change needed
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Original
Which of the following shapes is a circle?
  • Shape D
  • Shape C
  • Shape B
  • Shape A
No changes

Rationale: The question text and the image are entirely dialect-neutral, containing no Australian-specific spelling, units, or terminology.

3m7pylgJg0EnptI8AvXf Skip No change needed
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Original
Find the area of the given triangle.
  • 20 cm$^2$
No changes

Rationale: The question and image use the unit symbol 'cm' and standard geometric terminology ('area', 'triangle') which are identical in both Australian and American English. No Australian-specific spellings (like 'centimetre') or terms are present.

3mH38lSJI6WEmcMHw2OI Skip No change needed
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Identify the given prism.
  • Octagonal prism
  • Heptagonal prism
  • Pentagonal prism
  • Hexagonal prism
No changes

Rationale: The text and image contain no Australian-specific spelling, terminology, or units. The content is mathematically universal and appropriate for both AU and US audiences without modification.

3mOAvDeNWldkLucfDnWn Localize Units (convert)
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Original
Edited
Edited
Find the area of the kite.
  • 40 cm$^2$
Find the area of the kite.
  • 40 in$^2$

Rationale: The question and image use metric units (cm). These should be converted to US customary units (in) for a US audience. The conversion is simple as it involves only two values and the numerical answer remains the same if we swap units directly.

Image edit: Only change '8 cm' to '8 in' in the vertical diagonal label, keep everything else the same | Only change '10 cm' to '10 in' in the horizontal diagonal label, keep everything else the same
3oq5pzJjIcTJZkNJgO6y Skip No change needed
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Find the distance between the points $(-1,5)$ and $(3,-4)$.
  • 9.8 units
No changes

Rationale: The question and image use standard mathematical notation and terminology that is identical in both Australian and American English. There are no units, specific spellings, or cultural references that require localization.

3pxfPElBfakFZpjETTpY Skip No change needed
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Original
Find the measure of the angle $BAC$ in degrees.
  • $\angle{BAC}=$ 18.57 $^\circ$
No changes

Rationale: The question and image are fully bi-dialect neutral. The unit symbol "m" is the standard international abbreviation for both "metres" (AU) and "meters" (US) and is commonly used in American mathematical contexts. There are no instances of Australian-specific spelling, terminology, or cultural references in either the text or the image.

3qe36FkZRQ073l3Vzhhy Skip No change needed
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The angles are complementary. Find $θ$ in the figure.
  • $\theta=$ 25 $^\circ$
No changes

Rationale: The terminology "complementary" and the mathematical notation used in both the text and the image are standard in both Australian and American English. There are no units, specific spellings, or cultural references that require localization.

41sVuxjqx3cgyJxD0upu Skip No change needed
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Which of the following is not a prism?
  • Option D
  • Option C
  • Option B
  • Option A
No changes

Rationale: The question text and the image contain no Australian-specific spelling, units, or terminology. The mathematical term "prism" is standard in both Australian and American English.

42aQjevFD5sPhEiWNzm8 Localize Units (convert)
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Original
Edited
Edited
The light source $O$ casts a shadow $SS'$ of the tree $TT'$. What is the height of the tree?
  • 5 m
The light source $O$ casts a shadow $SS'$ of the tree $TT'$. What is the height of the tree?
  • 5 ft

Rationale: The question and image use metric units (meters, abbreviated as 'm'). For a US audience, these are typically localized to US customary units (feet, abbreviated as 'ft') in a mathematical context involving real-world objects like trees and shadows. The conversion is simple as it preserves the numerical values and the mathematical logic of similar triangles, ensuring the answer remains a whole number.

Image edit: Only change '10 m' to '10 ft' in the label for segment OT, keep everything else the same | Only change '20 m' to '20 ft' in the label for segment TS, keep everything else the same | Only change '15 m' to '15 ft' in the label for segment SS', keep everything else the same | Only change '25 m' to '25 ft' in the label for segment T'S', keep everything else the same
45wRxDIoEdtdnCmL6fvE Skip No change needed
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What is the sum of the interior angles of the following shape?
Hint: An interior angle is an angle on the inside of a shape.
  • 720 $^\circ$
No changes

Rationale: The question text, hint, and image contain no Australian-specific spelling, units, or terminology. The mathematical concept and notation are universal.

46n9hRSCQ0IZe3DiZ6p7 Localize Units (convert)
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If the smaller triangle is scaled up by a factor of $2$ to form the larger triangle, find the area of the smaller triangle.
  • 3 cm$^2$
If the smaller triangle is scaled up by a factor of $2$ to form the larger triangle, find the area of the smaller triangle.
  • 3 in$^2$

Rationale: The question and image use metric units (cm and cm²). For a US audience, these should be converted to US customary units (in and in²). The conversion is a simple unit swap that preserves the mathematical integrity and the integer answer.

Image edit: Only change '4 cm' to '4 in' in the vertical label of the larger triangle, keep everything else the same | Only change '6 cm' to '6 in' in the horizontal label of the larger triangle, keep everything else the same
47J124Zgt6sdXOAMex6z Skip No change needed
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Which circle is represented by the equation $\left(x-2\right)^{2}+\left(y-2\right)^{2}=4$?
  • Circle A
  • Circle C
  • Circle D
  • Circle B
No changes

Rationale: The question and image use standard mathematical notation and terminology that is identical in both Australian and American English. There are no units, regional spellings, or cultural references present.

47gY6UjsgOJGAKjFqLNW Skip Units (keep metric)
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What is the perimeter of the shape?
  • 31.4 cm
No changes

Rationale: The question and image contain metric units (cm). While the abbreviation 'cm' is bi-dialect neutral, the presence of metric units in an Australian context typically triggers localization. However, there are 6 distinct values to convert, which exceeds the 'simple conversion' threshold of 4. Additionally, no specific conversion table was provided in the instructions. Converting these values without a defined mapping could compromise mathematical integrity and the specific answer format requirements. Therefore, the metric units are retained.

483TD9ueLcu4sTG17r9X Skip No change needed
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Which of the following is a kite?
  • Option D
  • Option C
  • Option B
  • Option A
No changes

Rationale: The question text and the image contain no Australian-specific spelling, units, or terminology. The term "kite" is standard in both Australian and American English for this geometric shape.

48gf3S6itE6SzB0Qnicy Skip No change needed
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Original
What is the length of a rectangle with an area of $10$ cm$^2$ and a width of $2$ cm?
  • 5 cm
No changes

Rationale: The question and image use the abbreviation "cm" for centimeters and "cm$^2$" for square centimeters. These abbreviations are standard in both Australian and American English. No Australian-specific spellings (such as "centimetre") or terminology are present in the text or the image. Additionally, the units in the image are contained within a LaTeX expression ($10 \text{ cm}^2$), which must remain byte-identical according to the core principles. Since the content is bi-dialect neutral, no localization is required.

4A6SgUCh5XO6539UWPLy Localize Spelling (AU→US)
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Fill in the blank. The angle $AOB$ is subtended by the $[?]$ in the circle centred at $O$.
  • Chord $DE$
  • Chord $AB$
  • Arc $EB$
  • Arc $AC$
Fill in the blank. The angle $AOB$ is subtended by the $[?]$ in the circle centered at $O$.
  • Chord $DE$
  • Chord $AB$
  • Arc $EB$
  • Arc $AC$

Rationale: The question text contains the Australian spelling "centred", which needs to be converted to the American English spelling "centered". The rest of the content and the image are dialect-neutral.

4H8IZxZIMwOfJx2lbIVV Skip No change needed
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Which of these frames is circular?
  • Frame D
  • Frame C
  • Frame B
  • Frame A
No changes

Rationale: The question text and the image labels (A, B, C, D) do not contain any Australian-specific spelling, units, or terminology. The content is dialect-neutral.

4I0vKhqNbMvT9F1fLGnX Skip No change needed
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Find the perimeter of the figure below.
  • 10 cm
No changes

Rationale: The question and image use the unit abbreviation 'cm' and standard mathematical terminology ('perimeter', 'figure') which are identical in both Australian and American English. There are no AU-specific spellings (like 'centimetre') or cultural references present.

4JYrbuSVL89te7pghAF1 Skip No change needed
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What shapes make up the image below?
  • A rectangle and a triangle
  • A square and a rectangle
  • Two triangles
  • Two rectangles
No changes

Rationale: The text and image are entirely dialect-neutral, containing no Australian-specific spelling, units, or terminology.

4Ny0toqG3Oj0dLH1vv3N Skip No change needed
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Find the length of the arc for the shaded sector.
  • 15.7 mm
No changes

Rationale: The question and image use standard mathematical terminology ("arc", "sector", "length") and the metric unit abbreviation "mm", all of which are bi-dialect neutral and commonly used in US mathematics. No Australian-specific spellings or cultural references are present.

4QUefhKpSsg2R4NqMhVa Skip No change needed
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What is the total surface area (in cm$^2)$ of the given solid?
  • 23.75 cm$^2$
No changes

Rationale: The question and image use the metric unit symbol 'cm' and 'cm$^2$', which are standard international abbreviations used in both Australian and American English. There are no Australian-specific spellings (like 'centimetre'), terminology, or cultural references present in the text or the image.

4RO6LoqmbMvoudSiLBue Skip No change needed
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Find the surface area of the following shape.
  • 150.8 m$^2$
No changes

Rationale: The question and image use the unit symbol "m" (meters) and the term "surface area," both of which are standard and bi-dialect neutral in both Australian and American English. There are no instances of Australian-specific spellings (like "metres"), terminology, or cultural references.

4ZAzp4496gCWZBBqBKOT Localize Spelling (AU→US)
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True or false: The $\bold{\log{x}}$ transformation can linearise the given scatterplot.
  • False
  • True
True or false: The $\bold{\log{x}}$ transformation can linearize the given scatterplot.
  • False
  • True

Rationale: The question text uses the Australian spelling "linearise", which requires conversion to the American English spelling "linearize". The image contains only mathematical labels (x, y) and numbers, which are bi-dialect neutral.

4dYz8FA1sMlwjXX80NVp Localize Spelling (AU→US)
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Original
Find the volume of the sphere centred at the origin, shown below.
  • 268.08 units$^3$
Find the volume of the sphere centered at the origin, shown below.
  • 268.08 units$^3$

Rationale: The word "centred" in the question content is the Australian spelling; the US spelling is "centered". No other localization is required as the units are generic ("units") and the image contains no AU-specific text or units.

4ePsFSHBzsK9qqi1QxR6 Skip No change needed
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Find the area of the figure below, formed by two identical parallelograms, each with a height of $3$ cm and a base of $5$ cm.
  • 30 cm$^2$
No changes

Rationale: The question and image are bi-dialect neutral. The abbreviation "cm" is used for centimeters, which is standard in both Australian and American English. There are no Australian-specific spellings (like "centimetre"), terminology (like "maths"), or cultural references present in the text or the image.

4oLR9U6kc7BQeykYRXZL Skip No change needed
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Which of the following objects is the longest?
  • Worm
  • Banana
  • Garden hose
  • Phone charger
No changes

Rationale: The question text and the image labels use terminology and spelling that are identical in both Australian and American English. There are no units of measurement or cultural references that require localization.

4w44BbRgrLlrC1sUYaxP Skip No change needed
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True or false: The opposite sides of a rectangle are equal in length.
  • False
  • True
No changes

Rationale: The text and image are entirely dialect-neutral. There are no spelling differences (e.g., "color" vs "colour"), units, or specific terminology that require localization for a US audience.

51D2vWkLcz0BorWNxUxr Skip No change needed
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In the circle, $BE$ is the diameter. $\angle{EBC}$ is divided into $\angle{DBE}$ and $\angle{DBC}$ in the ratio of $2:3$ respectively. Find the measure of $\angle{BED}$ in degrees.
  • 58 $^\circ$
No changes

Rationale: The question text and image use mathematical terminology and notation that are identical in both Australian and American English. No spelling differences (e.g., "center" vs "centre"), unit conversions, or cultural references are present.

54YY6L69683kOrqQGkEE Localize Units (convert)
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Original
Edited
Edited
What is the value of $x$ ?
  • 3 cm
What is the value of $x$ ?
  • 3 in

Rationale: The question and image use centimeters (cm), which is the standard metric unit in Australia. For a US audience, these should be converted to US customary units (inches). A simple unit swap is appropriate here as it preserves the mathematical relationship (similar triangles) and ensures the answer remains a whole number.

Image edit: Only change '9cm' to '9 in' in the vertical label on the left, keep everything else the same | Only change '4cm' to '4 in' in the left segment label of the base, keep everything else the same | Only change '2cm' to '2 in' in the right segment label of the base, keep everything else the same
55j468hzFi1HA2Fn2rbF Skip No change needed
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For the given solid, its base area is $23$ units$^2$ and height is $20.1$ units. Find the volume of the solid.
  • 462.3 units$^3$
No changes

Rationale: The question and image use generic "units" for all measurements and contain no Australian-specific spelling, terminology, or cultural references. It is fully bi-dialect neutral.

58790949-bdab-4f5b-a1c8-88e8f7707f5a Localize Spelling (AU→US)
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Original
Why do we use 'mL' to show how much small containers, like juice boxes, can hold?
  • Because millilitres measure small amounts of liquid, making them the right unit for things like juice boxes.
Why do we use 'mL' to show how much small containers, like juice boxes, can hold?
  • Because milliliters measure small amounts of liquid, making them the right unit for things like juice boxes.

Rationale: The question uses the Australian spelling "millilitres" in the answer field, which needs to be converted to the American spelling "milliliters". The abbreviation "mL" and the term "juice boxes" are appropriate for both audiences.

5Dmh33gKoTYkpp84FjzI Skip No change needed
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Which of the following is a pyramid?
  • Option D
  • Option C
  • Option B
  • Option A
No changes

Rationale: The question and image use standard mathematical terminology and labels that are identical in both Australian and American English. No units, specific spellings, or cultural references are present.

5Gse2ZDbh0PCTtPVKF26 Skip No change needed
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Joey is on top of a $50$ m hill, and Ben is at the bottom. Ben looks up at Joey with an angle of elevation of $45^\circ$ from the ground. What is the straight-line distance between them?
  • $83.3$ m
  • $75$ m
  • $70.7$ m
  • $50$ m
No changes

Rationale: The question and image use standard mathematical terminology and the international symbol 'm' for meters, which is used in both Australian and American English. The names 'Joey' and 'Ben' are common in both regions, and there are no spelling differences (like 'metres' vs 'meters') or specific Australian cultural references that require localization.

5JZCR9C8AaaRdnMIIECF Skip No change needed
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True or false: The shape below is a triangle.
  • False
  • True
No changes

Rationale: The text and image are entirely neutral and do not contain any Australian-specific spelling, terminology, units, or cultural references.

5V2hlknv4RN1jkO7YIxX Localize Terminology (AU→US)
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What congruency rule applies to the given triangles?
  • RHS
  • SAS
  • SSS
  • ASA
What congruence rule applies to the given triangles?
  • HL
  • SAS
  • SSS
  • ASA

Rationale: The question uses the term 'congruency' and the answer choice 'RHS' (Right-angle, Hypotenuse, Side), which are standard in Australian mathematics. In the United States, 'congruence' is the preferred noun, and 'HL' (Hypotenuse-Leg) is the standard term for this specific triangle congruence theorem.

5X3i86mcMLHA3KL9zIVg Skip No change needed
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Find the area of the given figure.
  • 2150 cm$^2$
Find the area of the given figure.
  • 2150 cm$^2$

Rationale: The question and image use metric units (cm), which are standard in both Australian and American mathematical contexts. The abbreviation "cm" is identical in both dialects, and there are no other spelling or terminology differences (e.g., "maths", "centre", "metres"). Converting the units to imperial (inches) would result in non-integer values, violating the answer format constraint that the answer must be a whole number. Since the content is bi-dialect neutral and mathematically consistent, no changes are required.

5hfzy8WAPCMNA3LZf90r Skip No change needed
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A farmer measures a field and notes $0.2$ km$^2$ of land, then adds another $2512$ m$^2$ beside it. What is the total area in m$^2$?
  • 202512
No changes

Rationale: The question and image are bi-dialect neutral. The text uses metric units (km² and m²) which are standard in US mathematics curricula, especially for conversion exercises. The units are represented using LaTeX or symbols (km$^2$, m$^2$) which must be preserved to maintain mathematical integrity and consistency with the provided answer. No Australian-specific spellings, terminology, or cultural references are present in the text or the image.

5wI3rUWdDATMOhH3ol9f Skip No change needed
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What is the length of $\overline{PR}$ ?
  • 6 cm
No changes

Rationale: The question and image use the metric unit abbreviation 'cm' and standard geometric notation (overline for segments). In American English, 'cm' is the standard abbreviation for centimeter and is widely used in mathematics curricula. There are no instances of Australian-specific spellings (e.g., 'centimetre'), terminology (e.g., 'maths'), or cultural references that require localization. Since no conversion table was provided and 'cm' is bi-dialect neutral, no changes are necessary.

60JKgHOi3M4WRIl11SoW Skip No change needed
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What is the length of the paint brush?
  • 21 cm
No changes

Rationale: The question and image use "cm" (centimeters), which is a standard unit of measurement in both Australian and American math curricula. The term "paint brush" is used, which is acceptable in both dialects. Since the measurement (21 cm) is an integer and the ruler uses a non-zero starting point (5 cm), any conversion to inches would result in non-integer values or require a complete redesign of the image and answer, which is unnecessary as metric measurement is a standard part of US education. The content is bi-dialect neutral.

60UWoOGDaCSLj3AhxQAa Skip No change needed
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Choose the correct option.
  • A is an irregular prism, B is regular prism
  • A is a regular prism, B is an irregular prism
  • A and B both are irregular prisms
  • A and B both are regular prisms
No changes

Rationale: The text and image contain no Australian-specific spelling, terminology, or units. The terms "regular prism" and "irregular prism" are standard mathematical terms used in both Australian and American English.

60sVdkmA5bF20gQSFicJ Skip No change needed
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Find the volume of a rectangular prism with a base area of $160$ cm$^2$ and a height of $8$ cm.
  • 1280 cm$^3$
No changes

Rationale: The question and image use standard mathematical terminology ("rectangular prism", "base area", "height") and international unit abbreviations ("cm", "cm²", "cm³") that are identical in both Australian and American English. No spelling, terminology, or unit localizations are required.

6CTQ3rmSm5q3ZFjjKiNd Skip No change needed
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Which of these triangles has three angles of the same size?
Hint: The triangles are not drawn to scale.
  • Triangle d
  • Triangle c
  • Triangle b
  • Triangle a
No changes

Rationale: The text and image use standard mathematical terminology and notation that is neutral between Australian and American English. No specific AU spelling, units, or cultural references are present.

6FsQqLx57GMUpSKYAfB3 Skip No change needed
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Original
How many rays are there in the given figure?
  • 3
No changes

Rationale: The question and image use standard mathematical terminology and labels (A, B) that are identical in both Australian and American English. There are no units, spellings, or cultural references requiring localization.

6IUZTtdPXKlyHfVaHyLh Skip No change needed
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Original
What is the value of $\theta$ if the two horizontal lines are parallel?
Hint: Co-interior angles add up to $180^\circ$.
  • $\theta=$ 90 $^\circ$
No changes

Rationale: The question and image are bi-dialect neutral. The spelling of "horizontal" and "parallel" is the same in both Australian and American English. While "co-interior" is the term used in the hint, it is a mathematically recognized term in both regions (though "consecutive interior" is more common in the US). Since no specific terminology conversion list was provided to mandate a change, and the term is mathematically accurate, the content remains unchanged.

6KOXQ3kz9ZD0CDxR4bk0 Skip No change needed
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Which image below is not rectangular in shape?
  • A coin
  • A TV screen
  • A chocolate bar
  • A notebook
No changes

Rationale: The terminology, spelling, and visual elements in both the text and the image are identical in Australian and American English. The dollar sign on the coin is used in both regions.

6Mw85mPHl8Izy9qgSbyd Skip No change needed
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What is the time shown on the clock?
  • $12$:$15$
  • $3$:$15$
  • $12$:$00$
  • $3$:$00$
No changes

Rationale: The question text and the image are both dialect-neutral. There are no instances of Australian spelling, units, or cultural references in the provided fields or the visual content of the image.

6VIxdVFEueiWn753DW8n Localize Units (convert)
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Edit requested (no output)
What is the area of the given figure?
  • 350 cm$^2$
What is the area of the given figure?
  • 350 in$^2$

Rationale: The question and image use metric units (cm), which are localized to imperial units (in) for a US audience. The conversion is simple as it involves swapping the unit labels while keeping the numerical values the same, which preserves the mathematical integrity and ensures the answer remains a whole number.

Image edit: Only change '10 cm' to '10 in' in the left label, keep everything else the same | Only change '20 cm' to '20 in' in the bottom label, keep everything else the same | Only change '25 cm' to '25 in' in the right label, keep everything else the same
6W31rYYARWGydaDNcckg Skip No change needed
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Given that $\overline{AB}=\overline{CD}$, find the value of $x+y.$
  • 210 $^\circ$
No changes

Rationale: The question uses standard geometric notation and terminology that is identical in both Australian and American English. There are no units, specific spellings, or cultural references in either the text or the image that require localization.

6ZyupjVfLqGHz8Rsb5sR Skip No change needed
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Find the area of the shaded region.
  • 44 cm$^2$
Find the area of the shaded region.
  • 44 cm$^2$

Rationale: The question and image use the abbreviation "cm", which is bi-dialect neutral and commonly used in both Australian and American English. There are no instances of Australian-specific spelling (e.g., "centimetre"), terminology, or cultural references. As no conversion table was provided to move from metric to imperial, and "cm" is acceptable in a US educational context, the content is classified as truly unchanged.

6dJjolzm1A41cDXeDOPi Skip No change needed
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What congruency rule applies to the given triangles?
Hint: This diagram is not drawn to scale.
  • No congruency rule applies
  • SSS
  • SAS
  • ASA
No changes

Rationale: The terminology and notation used in both the text and the image are standard across both Australian and American English. There are no units, specific spellings (like 'centre' or 'metres'), or cultural references that require localization.

6fjM64a2Wust2kkiFMd1 Localize Units (convert)
Original
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Edit requested (no output)
Find the area of the shaded region.
  • 84.8 cm$^2$
Find the area of the shaded region.
  • 84.8 in$^2$

Rationale: The question and image contain metric units (cm), which require localization for a US audience. The conversion is simple as it involves changing the unit labels while preserving the numerical values to maintain mathematical consistency with the provided answer.

Image edit: Only change '6 cm' to '6 in' in the outer radius label, keep everything else the same | Only change '3 cm' to '3 in' in the inner radius label, keep everything else the same
6gQvVTu6pHgXFluUFCJg Skip No change needed
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How many parallelograms are in the image?
  • 4
No changes

Rationale: The question text and the image contain no Australian-specific spelling, units, or terminology. The mathematical concept and terminology (parallelogram) are identical in both Australian and American English.

6mJfc1MWwLhaC7DfmU37 Skip No change needed
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There were $50$ sand crabs on the beach. $15$ washed away, and $7$ dug into the sand. How many are left on the beach?
  • 28 sand crabs
No changes

Rationale: The question text, suffix, and image contain no Australian-specific spelling, units, or terminology. The content is bi-dialect neutral.

6moebdW5y86cdo9HKGK6 Skip No change needed
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Four cubes, each of side length $2$ cm, are joined end-to-end in a row to form a rectangular prism. What is the total surface area of the resulting rectangular prism?
  • 72 cm$^2$
No changes

Rationale: The question and image use "cm" (centimeters) and "rectangular prism," both of which are standard and commonly used in American English math contexts. There are no Australian-specific spellings (e.g., "centimetre," "colour") or terminology (e.g., "Year 7," "maths"). Since no specific unit conversion table was provided and the mathematical integrity (including the whole-number answer constraint) must be preserved, the metric units are retained as they are bi-dialect neutral in an educational context.

6mqIFZAQzVCVv45Qe897 Skip No change needed
Original
Original
Identify the spherical object in the given figures.
  • Pyramid
  • Egg
  • Football
  • Volleyball
No changes

Rationale: The question and answer choices use terminology and objects that are common to both Australian and American English. The image of the football is an American-style football, and the term "football" is used correctly in both dialects to describe that object. There are no spelling differences or units of measurement present.

6q84HN8oNSSojboin2lP Skip No change needed
Original
Original
Which of the following is correct about a kite? A) All sides are the same length B) Two pairs of sides are the same length C) It has curved sides D) It has three sides
  • A
  • D
  • B
  • C
No changes

Rationale: The question and image use standard mathematical terminology and spelling that are identical in both Australian and American English. There are no units, currency, or cultural references requiring localization.

6wT8Mdfz92FazmqrgUfC Skip No change needed
Original
Original
Fill in the blank: In the following oblique prism, faces A and B are $[?]$.
  • Opposite
  • Not perpendicular
  • Perpendicular
  • Parallel
No changes

Rationale: The terminology and spelling used in both the text and the image ("oblique prism", "perpendicular", "parallel", "Face") are identical in Australian and American English. There are no units, currency, or cultural references requiring localization.

6wUOuxciYCdWOo3U0UGn Skip No change needed
Original
Original
What is the total surface area of the given solid?
Hint: Consider all the faces of the solid.
  • 82 m$^2$
No changes

Rationale: The question and image use standard mathematical terminology and the international unit symbol 'm' (meters/metres), which is bi-dialect neutral. No Australian-specific spellings (like 'metres' or 'colour'), terminology (like 'maths'), or cultural references are present in either the text or the image.

6ylt3xEagKUJ9NGn39Ve Skip No change needed
Original
Original
The top of a pole makes an angle of depression of $30^\circ$ with a ball on the road. If the ball is a distance of $10$ m from the top of the pole, what is the height of the pole?
  • 5 m
No changes

Rationale: The question and image are bi-dialect neutral. The unit abbreviation 'm' (meters/metres) is standard in both Australian and American English. All terminology used ("angle of depression", "pole", "ball", "road", "height", "distance") and the spelling of all words are identical in both dialects. Since no specific conversion list was provided to mandate a change from metric to imperial units, and 'm' is a universally accepted abbreviation, the content remains unchanged.

76J347XXSKbHOSsH1LuM Skip No change needed
Original
Original
What is the resultant volume when the volume of the green cone is subtracted from the volume of the red cone? The radius of the green cone is $1.5$ units and the radius of the red cone is $2$ units.
  • 11.52 units$^3$
No changes

Rationale: The question uses generic "units" and standard mathematical terminology that is identical in both Australian and American English. There are no spelling differences, unit conversions, or cultural references present in the text or the image.

7BwRIwNUbjzxBwsVdmAP Skip No change needed
Original
Original
Fill in the blank: If the measure of an angle is greater than $90^\circ$ and less than $180^\circ$ then that angle is $[?]$.
  • Right
  • Complete
  • Obtuse
  • Acute
No changes

Rationale: The text and image use standard mathematical terminology and notation that is identical in both Australian and American English. There are no units, specific spellings, or cultural references requiring localization.

7RDgpMs1vjnYAFiY3To6 Localize Units (convert)
Original
Original
Edit requested (no output)
What is the value of $c$ ?
  • $\sqrt{5}$ cm
  • $5$ cm
  • $15$ cm
  • $\sqrt{13}$ cm
What is the value of $c$ ?
  • $\sqrt{5}$ in
  • $5$ in
  • $15$ in
  • $\sqrt{13}$ in

Rationale: The question and image contain metric units (cm). Following the localization policy for a US audience, simple metric units are converted to imperial units (in). The numerical values are preserved to maintain mathematical integrity as they are contained within LaTeX delimiters which must remain byte-identical.

Image edit: Only change '3 cm' to '3 in' in the label for the vertical leg, keep everything else the same | Only change '2 cm' to '2 in' in the label for the horizontal leg, keep everything else the same
7UgoTKOTwu1T6xBkXzUR Skip No change needed
Original
Original
Which of these is/are a complete weighted bipartite graph?
  • None of the above
  • Only $(iii)$
  • $(i)$ and $(iii)$
  • $(i)$ and $(ii)$
No changes

Rationale: The question and image use standard mathematical terminology ("complete weighted bipartite graph") and notation that is identical in both Australian and American English. There are no units, regional spellings, or cultural references present.

7YYHA31O0uZoIOaXsIUc Skip No change needed
Original
Original
Which circle is represented by the equation $9=\left(x+6\right)^{2}+\left(y+6\right)^{2}$ ?
  • Circle B
  • Circle D
  • Circle A
  • Circle C
No changes

Rationale: The question text and the image are entirely neutral. No Australian-specific spelling, units, or terminology are present in the question content or the diagram. While the skill title in the metadata uses the Australian spelling "centre", the question bundle itself requires no localization.

7c1Nc6ZOMHc9mD6PoWNe Skip No change needed
Original
Original
Find the value of $\theta$ (in degrees) in the figure below.
  • $\theta =$ 30 $^\circ$
No changes

Rationale: The question and image use generic mathematical terminology ("units") and standard notation that is identical in both Australian and American English. No localization is required.

7d4UVs5v4yWQc18dRfX5 Skip No change needed
Original
Original
Fill in the blank:
  • $0.9$
  • $900$
  • $0.009$
  • $9$
No changes

Rationale: The question and image use universal mathematical notation and units ($cm^3$ and $mL$) that are standard in both Australian and American English. The text "Fill in the blank:" is also neutral.

7eoAKEJBSPHDVswU1wEF Skip No change needed
Original
Original
What is the radius of the circle given by $(x+4)^{2}+(y+4)^{2}=\frac{49}{4}$?
  • \frac{7}{2} units
No changes

Rationale: The question content, suffix, and answer are all mathematically and linguistically neutral between Australian and American English. The image contains only standard coordinate plane labels (x, y, and integers) with no localized units or spellings. While the skill title in the metadata contains the word 'centre', the question fields themselves require no localization.

7fKiM3I8JtP10vOSJwkT Skip No change needed
Original
Original
For the circle with diameter $BE$, find $\angle{ABC}+\angle{AEC}$ in degrees.
  • 180 $^\circ$
No changes

Rationale: The text and image use universal mathematical terminology and notation that is identical in both Australian and American English. There are no units, regional spellings, or cultural references present.

7iJXDSZy0Yvq4CZbbTTN Skip No change needed
Original
Original
Which image below is triangular in shape?
  • Option D
  • Option C
  • Option B
  • Option A
No changes

Rationale: The question text and the images provided are dialect-neutral. There are no Australian-specific spellings, units, or cultural references that require localization for a US audience.

7jENxIYqaCwwWd4Mszo7 Localize Units (convert)
Original
Original
Edit requested (no output)
What is the area of a quarter circle that has a radius of $4$ cm?
  • 12.57 cm$^2$
What is the area of a quarter circle that has a radius of $4$ in?
  • 12.57 in$^2$

Rationale: The question and accompanying image use centimeters (cm), which is a metric unit. For US localization, simple units like centimeters are converted to US customary units (inches). This is a straightforward conversion that does not affect the mathematical logic or the numerical answer.

Image edit: Only change '4 cm' to '4 in' in the label below the horizontal radius, keep everything else the same
7myo5amPAKtOBhD6EHOQ Skip No change needed
Original
Original
What is the weight associated with the edge $AD$ ?
  • 3
No changes

Rationale: The question and image use universal mathematical notation and terminology. There are no units, regional spellings, or cultural references that require localization.

7pAkn8ylg8MguJiE0WNN Localize Spelling (AU→US)
Original
Original
A school playground is $50$ m long. Convert this length to kilometres.
  • $5$ km
  • $0.05$ km
  • $5000$ km
  • $0.5$ km
A school playground is $50$ m long. Convert this length to kilometers.
  • $5$ km
  • $0.05$ km
  • $5000$ km
  • $0.5$ km

Rationale: The question uses the Australian spelling "kilometres," which needs to be updated to the American English spelling "kilometers." The metric units themselves are preserved as they are standard in US math curricula for unit conversion exercises.

84W1r4ofQBDRZoxUsnLe Skip No change needed
Original
Original
Consider the rhombus $ABCD$. If $\overline{AC}=6$ cm and $\overline{BD}=4$ cm, find $\angle{BCD}$.
  • 67.38 $^\circ$
No changes

Rationale: The question and image are bi-dialect neutral. The unit "cm" is a standard abbreviation for centimeters used in both Australian and American English, and there are no spelling differences (such as "metres" vs "meters") or Australian-specific terminology present. As no specific conversion list was provided to mandate a change from metric to imperial units, and "cm" is commonly used in US mathematics education, the content is classified as unchanged.

89qknB5pJUlgNvKagD6y Skip No change needed
Original
Original
Find the area of the shaded region.
  • 105.90 units$^2$
No changes

Rationale: The question and image use universal mathematical terminology and notation. There are no Australian-specific spellings, units, or cultural references present in either the text or the diagram.

8AdeHDTLgHjriJuhk7Of Localize Spelling (AU→US)
Original
Original
Find the area of the following rectangle.
  • 3 metres$^2$
Find the area of the following rectangle.
  • 3 meters$^2$

Rationale: The question uses the Australian spelling 'metres' in the suffix, which needs to be converted to the American spelling 'meters'. The symbol 'm' used in the image is standard in both dialects.

8RC0cJakQxlNbAEi5HGu Localize Units (convert)
Original
Original
Edit requested (no output)
Find the length $h$ in the given figure.
  • 5 km
Find the length $h$ in the given figure.
  • 5 miles

Rationale: The question and image use kilometers (km), which is the standard metric unit for distance in Australia. For a US audience, miles is the more common unit for large-scale distances in trigonometry problems. The conversion is simple (a direct unit swap) and does not change the mathematical logic or the final integer answer.

Image edit: Only change '10 km' to '10 miles' in the label for the horizontal segment on the left, keep everything else the same | Only change 'x km' to 'x miles' in the label for the horizontal segment on the right, keep everything else the same | Only change 'h km' to 'h miles' in the label for the vertical side, keep everything else the same
8TZMMu6JwkGbPuwJttry Skip No change needed
Original
Original
Find the area of the figure when $h=5$ m.
  • 190 m$^2$
No changes

Rationale: The question and image use the universal symbol 'm' for meters/metres. There are no instances of AU-specific spelling (like 'metres' or 'centre') or terminology. The content is bi-dialect neutral.

8TtuOW7SAo9gNL6jLc6X Skip No change needed
Original
Original
Choose the heaviest object.
  • Ship
  • Ladder
  • Car
  • Chair
No changes

Rationale: The text and image use terminology and spelling that are identical in both Australian and American English. There are no units, cultural references, or specific spelling differences (like 'colour' or 'centre') present in this question.

8j1yVWuQERuAquLOdCnx Skip No change needed
Original
Original
Based on the diagram below, which of the following is a straight angle?
  • $\angle DOB$
  • $\angle BOC$
  • $\angle AOD$
  • $\angle AOB$
No changes

Rationale: The question and image use standard geometric terminology ("straight angle") and notation that are identical in both Australian and American English. There are no units, regional spellings, or cultural references present.

8q1Bq132dqdDW67TGGsM Skip No change needed
Original
Original
Find the area of the following shape.
  • 4.5 m$^2$
No changes

Rationale: The question and image use the unit symbol 'm' (meters/metres) and 'm$^2$', which are standard international symbols used in both Australian and American English. The text "Find the area of the following shape" is bi-dialect neutral. No Australian-specific spellings (like "metres") or terminology (like "maths") are present. Furthermore, no conversion table was provided in the instructions to map metric units to imperial units, and the core principles prohibit inventing conversions.