| ID | Decision | Category | Figure | Original | Edited | Reasoning |
|---|---|---|---|---|---|---|
| 01531701-9be5-44d8-9260-26b8b6fc6b5b | Skip | No change needed | Original ![]() |
Why is it helpful to know what a pyramid is?
|
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 | Original ![]() |
What is the length of the line segment connecting points $A$ and $B$?
|
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) | Original ![]() Edit requested (no output)
|
$\triangle PQR$ is similar to $\triangle ABC$ with a scale factor of $2$.
What is the length of side $PQ$ ?
|
$\triangle PQR$ is similar to $\triangle ABC$ with a scale factor of $2$.
What is the length of side $PQ$ ?
|
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 | 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?
|
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) | Original ![]() Edited |
If a $10$ cm line segment is enlarged by a scale factor of $2.2$, what is its new length?
|
If a $10$ in line segment is enlarged by a scale factor of $2.2$, what is its new length?
|
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 | 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?
|
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 | Original ![]() |
Find the value of $x$ in $\triangle PQR$.
|
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 | Original ![]() |
A triangle has angles in the ratio $1:3:5$.
What is the size of the smallest angle?
|
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 | Original ![]() |
Find the length of the hypotenuse of the given triangle.
|
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) | Original ![]() Edited |
The two triangles below are similar.
What is the perimeter of the smaller triangle?
|
The two triangles below are similar.
What is the perimeter of the smaller triangle?
|
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 | Original ![]() |
Find the measure of $\angle F$ in the given quadrilateral.
|
Find the measure of $\angle F$ in the given quadrilateral.
|
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) | Original ![]() 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?
|
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?
|
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) | Original ![]() |
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?
|
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?
|
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 | Original ![]() |
Find the measure of $\angle Z$.
|
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 | Original ![]() |
A triangle has angles $x^\circ$, $(x + 30)^\circ$, and $(2x - 10)^\circ$.
Classify the triangle.
|
A triangle has angles $x^\circ$, $(x + 30)^\circ$, and $(2x - 10)^\circ$.
Classify the 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) | Original ![]() |
A triangle has vertices $P(0, 0)$, $Q(4, 0)$, and $R(2, 2\sqrt{3})$.
What type of triangle is this?
|
A triangle has vertices $P(0, 0)$, $Q(4, 0)$, and $R(2, 2\sqrt{3})$.
What type of triangle is this?
|
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) | Original ![]() |
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?
|
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?
|
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 | Original ![]() |
True or false:
A feather is heavier than a brick.
|
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) | Original ![]() Edited |
True or false:
The watermelon weighs less than the pumpkin.
|
True or false:
The watermelon weighs less than the pumpkin.
|
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) | Original ![]() Edited |
Which of the animals is heavier?
|
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 | Original ![]() |
True or false:
A pen is heavier than a book.
|
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) | Original ![]() Edit requested (no output)
|
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?
|
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?
|
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) | Original ![]() |
Given $AB = x + 3$ cm, $AD = x$ cm, $BC = 10$ cm, and $DE = 8$ cm, what is the length of $AB$?
|
Given $AB = x + 3$ in, $AD = x$ in, $BC = 10$ in, and $DE = 8$ in, what is the length of $AB$?
|
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) | Original ![]() |
Given $AD = 12$ cm and $CD = 9$ cm, what is the length of $AB$?
|
Given $AD = 12$ in and $CD = 9$ in, what is the length of $AB$?
|
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 | Original ![]() |
Subtract the numbers:
|
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) | Original ![]() |
A truck travels at an average speed of $75$ kilometres per hour.
How far will it travel in $6$ hours?
|
A truck travels at an average speed of $75$ miles per hour.
How far will it travel in $6$ hours?
|
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) | Original ![]() |
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?
|
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?
|
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 | Original ![]() |
A satellite orbits the Earth every $1$ hour, $35$ minutes, and $120$ seconds.
How many full orbits will it complete in exactly $2$ days?
|
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) | Original ![]() |
True or false:
A runner tracks her total distance as $3$ km, $200$ m, and $5000$ cm.
Altogether, she has travelled $3250$ m.
|
True or false:
A runner tracks her total distance as $3$ km, $200$ m, and $5000$ cm.
Altogether, she has traveled $3250$ m.
|
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 | Original ![]() |
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.
|
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) | Original ![]() |
Fill in the blank:
When buying a large bottle of juice at the supermarket, the volume is most likely shown in $[?]$
|
Fill in the blank:
When buying a large bottle of juice at the supermarket, the volume is most likely shown in $[?]$
|
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) | Original ![]() |
What units are typically used to measure the weight of a newborn baby at the hospital?
|
What units are typically used to measure the weight of a newborn baby at the hospital?
|
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 | Original ![]() |
Look at angle A and angle B.
Which of these is the best comparison?
|
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 | Original ![]() |
Which of the following is the best estimate for the angle displayed?
|
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 | Original ![]() |
True or false:
The angle shown is approximately $80^\circ$
|
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 | Original ![]() |
A box of chocolates weighs $450$ g.
A carton contains $24$ such boxes.
What is the total weight of $3$ cartons in tonnes?
|
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 | Original ![]() |
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?
|
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 | Original ![]() |
An elephant weighs $4.5$ tonnes.
A mouse weighs $25$ g.
How many mice would it take to equal the weight of the elephant?
|
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?
|
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) | Original ![]() |
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
|
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
|
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) | Original ![]() |
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
|
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
|
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 | Original ![]() |
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?
|
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 | Original ![]() |
A rectangle has an area of $125$ cm$^2$.
Its length is $25\%$ more than its width.
What is the width?
|
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 | Original ![]() |
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?
|
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 | Original ![]() |
A triangle has interior angles $x^\circ$, $2x^\circ$, and $3x^\circ$.
What is the sum of its exterior angles?
|
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 | Original ![]() |
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?
|
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 | Original ![]() |
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 $\angle \text{F}$.
|
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 | Original ![]() |
A cylindrical pipe is open at both ends.
Its radius is $1$ m and its height is $5$ m.
What is its surface area?
|
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 | 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 $XY$?
|
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 ![]() Edited |
Find the perimeter of the L-shaped figure shown.
|
Find the perimeter of the L-shaped figure shown.
|
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 ![]() |
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?
|
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) | 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?
|
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?
|
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 | 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?
|
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 | 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?
|
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 ![]() |
True or false:
When a sculptor reshapes a block of clay without adding or removing any clay, its volume stays the same.
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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 ![]() |
True or false:
When a waterproof, solid object is completely dipped in water, the amount of water displaced is equal to its volume.
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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 ![]() |
Fill in the blank:
If every side of a cube is made twice as long, its new volume will be $[?]$
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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) | Original ![]() |
True or false:
Removing a $2$ cm square from the corner of a $5$ cm square leaves a shape with the same perimeter.
|
True or false:
Removing a $2$ in square from the corner of a $5$ in square leaves a shape with the same perimeter.
|
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 | 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?
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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 ![]() |
Which unit would be most appropriate to measure the capacity of a syringe?
|
Which unit would be most appropriate to measure the capacity of a syringe?
|
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 ![]() |
Which sides are equal in length?
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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 ![]() |
In a kite PQRS, which of these statement is necessarily true?
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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 ![]() |
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?
|
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?
|
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 ![]() |
A cup holds $250$ mL.
How many litres is this?
|
A cup holds $250$ mL.
How many liters is this?
|
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 ![]() Edited |
What is the surface area of a sphere with a diameter of $4$ cm?
|
What is the surface area of a sphere with a diameter of $4$ in?
|
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) | Original ![]() Edited |
What is the total surface area of a cone with a diameter of $10$ cm and a slant height of $8$ cm?
|
What is the total surface area of a cone with a diameter of $10$ in and a slant height of $8$ in?
|
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 | Original ![]() |
A cone has a diameter of $10$ m and a perpendicular height of $12$ m.
What is its total surface area?
|
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 | 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.
|
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 | Original ![]() |
A cone has a diameter of $6$ cm and a height of $7$ cm.
What is its volume in terms of $\pi$?
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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 | 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 $\pi$?
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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 ![]() |
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 $\pi$?
|
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 | 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?
|
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 | 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 $\pi$?
|
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 ![]() |
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.
|
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.
|
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 | Original ![]() |
What is the volume of a sphere with a diameter of $2$ m, in terms of $\pi$?
|
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 | Original ![]() |
A pyramid has a rectangular base of $6$ cm by $5$ cm.
Its perpendicular height is $8$ cm.
What is its volume?
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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 | 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?
|
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 ![]() |
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?
|
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 | 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.
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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 | 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?
|
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 ![]() 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.
|
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.
|
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 ![]() |
Find the total surface area of the rectangular pyramid below to the nearest square metre.
|
Find the total surface area of the rectangular pyramid below to the nearest square meter.
|
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 | 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.
|
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 | 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?
|
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 | 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.
|
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 | 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.
|
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 | 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.
|
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 | 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.
|
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 ![]() |
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.
|
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 ![]() 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.
|
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.
|
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 ![]() |
Find the surface area of a sphere with a radius of $5$ cm in terms of $\pi$.
|
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 ![]() |
Find the total surface area of a hemisphere with a radius of $4$ m in terms of $\pi$.
|
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 ![]() |
A sphere has a volume of $972\pi$ cm$^3$.
Find its surface area as an exact value.
|
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 ![]() |
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 $\pi$.
|
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 ![]() |
Find the total surface area of a cone with a radius of $4$ cm and a slant height of $10$ cm in exact form.
|
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 ![]() 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.
|
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.
|
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 ![]() |
A cone has a radius of $10$ cm and a perpendicular height of $9$ cm.
Find its volume in exact form.
|
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 ![]() |
A cone has a slant height of $13$ cm and a radius of $5$ cm.
What is its volume in terms of $\pi$?
|
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 ![]() |
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?
|
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 ![]() |
Calculate the total surface area of the $3$D solid below.
|
Calculate the total surface area of the $3$D solid below.
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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 ![]() 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?
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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?
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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
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| 01K0RMVPRQ750RPRRXSYZ9ZBDA | Skip | No change needed | 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 $\pi$.
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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 ![]() |
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 $\pi$.
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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 $\pi$.
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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 ![]() |
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 $\pi$.
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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 ![]() |
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 $\pi$.
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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 ![]() |
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 $\pi$.
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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 ![]() |
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 $\pi$.
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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 ![]() |
Calculate the volume of a sphere with a radius of $10$ cm to two decimal places.
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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 ![]() |
The radius of a spherical ball is $1$ cm.
Find its volume to two decimal places.
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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 ![]() |
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.
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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 ![]() |
A pyramid has a square base with a side length of $6$ m and a perpendicular height of $7$ m.
Find its volume.
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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 ![]() Edited |
Find the volume of a pyramid with a square base of side $1$ cm and a height of $3$ cm.
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Find the volume of a pyramid with a square base of side $1$ in and a height of $3$ in.
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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
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| 01K0RMVPSAZRYNGPFWD0JPHHEZ | Skip | No change needed | Original ![]() |
A pyramid with a triangular base has a base area of $18$ m$^2$ and a height of $10$ m.
Calculate its volume.
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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 ![]() |
What is the volume of the square-based pyramid shown?
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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 ![]() Edited |
A pyramid is $12$ m high and has a square base with sides of $10$ m.
Find the volume.
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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
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| 01K0RMVPSDX7SJBRBCDJP660S6 | Localize | Units (keep metric) | Original ![]() 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.
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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.
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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
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| 01K0RMVPSDX7SJBRBCDK7YQDQY | Skip | No change needed | 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.
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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 ![]() |
A pyramid has a volume of $500$ cm$^3$ and a square base with sides of $10$ cm.
What is its perpendicular height?
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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 ![]() |
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.
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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.
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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 ![]() |
A pyramid has a rectangular base with dimensions $2.5$ m by $4$ m.
Its height is $6$ m.
Calculate the volume.
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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 ![]() |
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?
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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 ![]() |
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?
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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 ![]() |
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.
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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.
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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 ![]() |
What is the weight of the apples shown on the scale?
Give your answer in kg.
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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 ![]() |
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?
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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 ![]() |
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.
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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 ![]() |
What is the total weight of the two packages shown on the scales?
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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 ![]() |
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 $\pi$.
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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 ![]() |
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?
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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 ![]() |
Explain why $2.5$ hours is equal to $2$ hours and $30$ minutes, not $2$ hours and $50$ minutes.
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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 ![]() |
Explain how dividing a hexagon into triangles helps find its total angle sum.
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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 ![]() |
How can you tell a triangle inside a circle is a right triangle without measuring?
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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 ![]() |
Would you measure a swimming pool’s capacity in millilitres or litres? Why?
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Would you measure a swimming pool’s capacity in milliliters or liters? Why?
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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 ![]() |
What makes a shape a rectangle?
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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 ![]() |
Explain why the formula for a cone's total surface area includes $\pi r^2$ and $\pi rl$.
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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 | Original ![]() |
Explain the relationship between the sum of a graph's vertex degrees and its total number of edges.
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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) | Original ![]() |
Why must any angle that is inscribed in a semicircle be a right angle?
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Why must any angle that is inscribed in a semicircle be a right angle?
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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 | Original ![]() |
What makes a cone different from other $3$D shapes?
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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 | Original ![]() |
Why does a kite look like it has a “top” and a “bottom” point?
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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 | Original ![]() |
Why does an oblique prism have the same volume as a right prism if they share the same base and perpendicular height?
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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) | Original ![]() |
The light source $O$ casts a shadow $SS'$ of the tree $TT'$.
What is the distance of the light source from the tree?
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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 | Original ![]() |
How can you tell that a shape is a rectangle?
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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 | Original ![]() |
Find the value of angle $x$ in the figure given below.
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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 | Original ![]() |
Fill in the blank.
The figure below is a combination of $[?]$.
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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 | 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?
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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 | Original ![]() |
Which of the following is a rectangular prism?
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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 ![]() |
The perimeter of the given equilateral triangle is $6$ cm.
Find its side length.
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The perimeter of the given equilateral triangle is $6$ in.
Find its side length.
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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 | Original ![]() |
Fill in the blank.
The right-endpoint estimate for the area of a decreasing function is $[?]$ than the actual area.
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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 | Original ![]() |
True or false:
In a regular prism, the faces connecting the two bases are always rectangles.
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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 | Original ![]() |
Given the angles $30^\circ$ and $150^\circ$ in the diagram, which of the following best describes their relationship?
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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 | Original ![]() |
Find the perimeter of the given figure.
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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) | Original ![]() Edited |
What is the area of the circle below?
|
What is the area of the circle below?
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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
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| 1B6XmOslP9WjRFzAyB1O | Skip | No change needed | Original ![]() |
Given $\triangle LMN \cong \triangle XYZ$ and $XY=XZ$, find the measure of $\angle L$.
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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 | Original ![]() |
True or false:
This is an obtuse angle.
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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 | Original ![]() |
Find the area of the given triangle.
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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 | Original ![]() |
True or false:
The given triangles are similar.
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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 | Original ![]() |
What is the circumference of a circle with a diameter of $1$ cm?
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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 | Original ![]() |
Which of these is not a prism?
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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 | Original ![]() |
Identify the type of triangle in the image below.
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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) | Original ![]() Edited |
Given that $\Delta ABC$ $\cong$$\Delta CDA$, find length $\overline{AD}$.
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Given that $\Delta ABC$ $\cong$$\Delta CDA$, find length $\overline{AD}$.
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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 | Original ![]() |
What does $\overrightarrow{AB}$ represent?
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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 | Original ![]() |
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 $AB$?
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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 | Original ![]() |
What is the length of the opposite side in the diagram below?
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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 | Original ![]() |
A park has an area of $0.25$ km$^2$.
How many m$^2$ is this equivalent to?
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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 | Original ![]() |
What is the total surface area of the following shape?
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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) | Original ![]() Edited |
Find the perimeter of the quarter circle shown in the image below.
|
Find the perimeter of the quarter circle shown in the image below.
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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 | Original ![]() |
Which of the following semicircles is represented by the equation $x=\sqrt{5-\left(y-5\right)^{2}}-9$ ?
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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 | Original ![]() |
The angles are supplementary.
Find $θ$ in the figure.
Hint: Supplementary angles add up to $180^\circ$.
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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 | Original ![]() |
Find the circumference of a circle with a diameter of $7$ m.
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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 | Original ![]() |
What is the value of $\theta$ (in degrees) in the figure below?
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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 | Original ![]() |
Which of the following triangles shows that $AB=AC$?
Hint: The triangles are not drawn to scale.
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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 | Original ![]() |
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 $60^\circ$ ?
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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 | Original ![]() |
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.
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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) | Original ![]() |
Find the measure of $\angle OCD$ where $O$ is the centre.
Hint: Diagram is not drawn to scale.
|
Find the measure of $\angle OCD$ where $O$ is the center.
Hint: Diagram is not drawn to scale.
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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 | 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.
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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) | Original ![]() 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.
|
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.
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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 | Original ![]() |
What is the time shown on the clock?
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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 | Original ![]() |
Identify the figure in the image below
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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 | Original ![]() |
Which of the objects below is closest in shape to a triangular prism?
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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 | Original ![]() |
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?
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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 | Original ![]() |
What is the surface area of the following shape?
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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 | Original ![]() |
Find the length of a rectangle with a width of $8$ cm and an area of $120$ cm$^2$.
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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) | Original ![]() 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=$k^2$
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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=$k^2$
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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 | Original ![]() |
Which of the following shapes is not part of the composite shape below?
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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 | Original ![]() |
Consider vertically opposite angles $\angle AOC$ and $\angle DOE$.
If $\angle AOB = 38^\circ$ and $\angle EOD = 112^\circ$, what is $\angle BOC$ ?
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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) | Original ![]() |
$50$ 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?
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$50$ 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?
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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 | Original ![]() |
What missing value makes the following triangle an equilateral triangle?
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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) | Original ![]() Edited |
True or false:
The mass of a packet of chips is best measured in grams.
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True or false:
The mass of a bag of chips is best measured in grams.
|
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) | Original ![]() Edit requested (no output)
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Find the perimeter of the following shape.
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Find the perimeter of the following shape.
|
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 | Original |
What type of angle is shown in the image?
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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 | Original ![]() |
Find $\overline{AC}$.
(Give your answer to the nearest whole number.)
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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 ![]() |
Find the area of the trapezium if the area of $\triangle{DBC}$ is $36$ cm$^2$.
|
Find the area of the trapezoid if the area of $\triangle{DBC}$ is $36$ cm$^2$.
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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) | Original ![]() |
What is the height of the trapezium shown below if its area is $18.02$ m$^2$?
|
What is the height of the trapezoid shown below if its area is $18.02$ m$^2$?
|
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 | Original ![]() |
What is the volume of the cone below?
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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 | Original ![]() |
Which of the following shapes is a circle?
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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 | Original ![]() |
Find the area of the given triangle.
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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 | Original ![]() |
Identify the given prism.
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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) | Original ![]() Edited |
Find the area of the kite.
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Find the area of the kite.
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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 | Original ![]() |
Find the distance between the points $(-1,5)$ and $(3,-4)$.
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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 | Original ![]() |
Find the measure of the angle $BAC$ in degrees.
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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 | Original ![]() |
The angles are complementary.
Find $θ$ in the figure.
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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 | Original ![]() |
Which of the following is not a prism?
|
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) | Original ![]() Edited |
The light source $O$ casts a shadow $SS'$ of the tree $TT'$.
What is the height of the tree?
|
The light source $O$ casts a shadow $SS'$ of the tree $TT'$.
What is the height of the tree?
|
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 | Original ![]() |
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.
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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) | Original ![]() Edit requested (no output)
|
If the smaller triangle is scaled up by a factor of $2$ to form the larger triangle, find the area of the smaller triangle.
|
If the smaller triangle is scaled up by a factor of $2$ to form the larger triangle, find the area of the smaller triangle.
|
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 | Original ![]() |
Which circle is represented by the equation $\left(x-2\right)^{2}+\left(y-2\right)^{2}=4$?
|
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) | Original ![]() |
What is the perimeter of the shape?
|
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 | Original ![]() |
Which of the following is a kite?
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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 | Original ![]() |
What is the length of a rectangle with an area of $10$ cm$^2$ and a width of $2$ 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) | Original ![]() |
Fill in the blank.
The angle $AOB$ is subtended by the $[?]$ in the circle centred at $O$.
|
Fill in the blank.
The angle $AOB$ is subtended by the $[?]$ in the circle centered at $O$.
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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 | Original ![]() |
Which of these frames is circular?
|
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 | Original ![]() |
Find the perimeter of the figure below.
|
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 | Original ![]() |
What shapes make up the image below?
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No changes |
Rationale: The text and image are entirely dialect-neutral, containing no Australian-specific spelling, units, or terminology. |
| 4Ny0toqG3Oj0dLH1vv3N | Skip | No change needed | Original ![]() |
Find the length of the arc for the shaded sector.
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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 | Original ![]() |
What is the total surface area (in cm$^2)$ of the given solid?
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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 | Original ![]() |
Find the surface area of the following shape.
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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) | Original ![]() |
True or false:
The $\bold{\log{x}}$ transformation can linearise the given scatterplot.
|
True or false:
The $\bold{\log{x}}$ transformation can linearize the given scatterplot.
|
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) | Original ![]() |
Find the volume of the sphere centred at the origin, shown below.
|
Find the volume of the sphere centered at the origin, shown below.
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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 | Original ![]() |
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.
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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 | Original ![]() |
Which of the following objects is the longest?
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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 | Original ![]() |
True or false:
The opposite sides of a rectangle are equal in length.
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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 | Original ![]() |
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.
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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) | Original ![]() Edited |
What is the value of $x$ ?
|
What is the value of $x$ ?
|
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 | Original ![]() |
For the given solid, its base area is $23$ units$^2$ and height is $20.1$ units.
Find the volume of the solid.
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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) | Original ![]() |
Why do we use 'mL' to show how much small containers, like juice boxes, can hold?
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Why do we use 'mL' to show how much small containers, like juice boxes, can hold?
|
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 | Original ![]() |
Which of the following is a pyramid?
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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 | Original ![]() |
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?
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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 | Original ![]() |
True or false:
The shape below is a triangle.
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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) | Original ![]() |
What congruency rule applies to the given triangles?
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What congruence rule applies to the given triangles?
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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 | Original ![]() |
Find the area of the given figure.
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Find the area of the given figure.
|
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 | Original ![]() |
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$^2$?
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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 | Original ![]() |
What is the length of $\overline{PR}$ ?
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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 | Original ![]() |
What is the length of the paint brush?
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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 | Original ![]() |
Choose the correct option.
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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 | Original ![]() |
Find the volume of a rectangular prism with a base area of $160$ cm$^2$ and a height of $8$ cm.
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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 | Original ![]() |
Which of these triangles has three angles of the same size?
Hint: The triangles are not drawn to scale.
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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 | Original ![]() |
How many rays are there in the given figure?
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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 | Original ![]() |
What is the value of $\theta$ if the two horizontal lines are parallel?
Hint: Co-interior angles add up to $180^\circ$.
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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 | Original ![]() |
Which image below is not rectangular in shape?
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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 | Original ![]() |
What is the time shown on the clock?
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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) | Original ![]() Edit requested (no output)
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What is the area of the given figure?
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What is the area of the given figure?
|
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 | Original ![]() |
Given that $\overline{AB}=\overline{CD}$, find the value of $x+y.$
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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 | Original ![]() |
Find the area of the shaded region.
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Find the area of the shaded region.
|
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 | Original ![]() |
What congruency rule applies to the given triangles?
Hint: This diagram is not drawn to scale.
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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 ![]() Edit requested (no output)
|
Find the area of the shaded region.
|
Find the area of the shaded region.
|
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 | Original ![]() |
How many parallelograms are in the image?
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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 | Original ![]() |
There were $50$ sand crabs on the beach.
$15$ washed away, and $7$ dug into the sand.
How many are left on the beach?
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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 | Original ![]() |
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?
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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 ![]() |
Identify the spherical object in the given figures.
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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 ![]() |
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
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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 ![]() |
Fill in the blank:
In the following oblique prism, faces A and B are $[?]$.
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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 ![]() |
What is the total surface area of the given solid?
Hint: Consider all the faces of the solid.
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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 ![]() |
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?
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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 ![]() |
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.
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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 ![]() |
Fill in the blank:
If the measure of an angle is greater than $90^\circ$ and less than $180^\circ$ then that angle is $[?]$.
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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 ![]() Edit requested (no output)
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What is the value of $c$ ?
|
What is the value of $c$ ?
|
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 ![]() |
Which of these is/are a complete weighted bipartite graph?
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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 ![]() |
Which circle is represented by the equation $9=\left(x+6\right)^{2}+\left(y+6\right)^{2}$ ?
|
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 ![]() |
Find the value of $\theta$ (in degrees) in the figure below.
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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 ![]() |
Fill in the blank:
|
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 ![]() |
What is the radius of the circle given by $(x+4)^{2}+(y+4)^{2}=\frac{49}{4}$?
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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 ![]() |
For the circle with diameter $BE$, find $\angle{ABC}+\angle{AEC}$ in degrees.
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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 ![]() |
Which image below is triangular in shape?
|
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 ![]() Edit requested (no output)
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What is the area of a quarter circle that has a radius of $4$ cm?
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What is the area of a quarter circle that has a radius of $4$ in?
|
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 |
What is the weight associated with the edge $AD$ ?
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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 ![]() |
A school playground is $50$ m long.
Convert this length to kilometres.
|
A school playground is $50$ m long.
Convert this length to kilometers.
|
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 ![]() |
Consider the rhombus $ABCD$.
If $\overline{AC}=6$ cm and $\overline{BD}=4$ cm, find $\angle{BCD}$.
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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 ![]() |
Find the area of the shaded region.
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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 ![]() |
Find the area of the following rectangle.
|
Find the area of the following rectangle.
|
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 ![]() Edit requested (no output)
|
Find the length $h$ in the given figure.
|
Find the length $h$ in the given figure.
|
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 ![]() |
Find the area of the figure when $h=5$ m.
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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 ![]() |
Choose the heaviest object.
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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 ![]() |
Based on the diagram below, which of the following is a straight angle?
|
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 ![]() |
Find the area of the following shape.
|
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. |