AU-US Export Results

193 groups 273 changed 617 fields
Run Info
Run
01KHHYWEA3CV89GE
Description
AU-heavy targeted cohort run (20260216T005114Z)
Mode
test
Git
3e109f06*
Started
2026-02-16T00:51:22
Snapshot
01KHFYFT51M4WVHX
Stages
text_au_to_us
Results
Question 01JVJ7085RPT9JVG
How many centimetres are in $2$ metres?1/3 changed 1393ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01JVJ7085RPT...
OriginalHow many centimetres are in $2$ metres?Converted[CHANGED] How many centimeters are in $2$ meters?
ShortQuestion.suffix01JVJ7085RPT...
OriginalcmConvertedcm
Answers (1)
Answer.contentans_41ac2d5f...
Original200Converted200
Question 01JVJ2GWQVR72VHR
Which of the following equations represents a non-linear function whose graph is...1/5 changed 1590ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JVJ2GWQVR7...
OriginalWhich of the following equations represents a non-linear function whose graph is a circle with its centre not at the origin?Converted[CHANGED] Which of the following equations represents a non-linear function whose graph is a circle with its center not at the origin?
Answers (4)
Answer.contentans_b6e4b5a6...
Original$(x-1)^2 + (y+2)^2 = 16$Converted$(x-1)^2 + (y+2)^2 = 16$
Answer.contentans_5e56cdc8...
Original$y=3^x$Converted$y=3^x$
Answer.contentans_086f12b3...
Original$x^2+y^2=9$Converted$x^2+y^2=9$
Answer.contentans_909e43f3...
Original$y = \frac{4}{x}$Converted$y = \frac{4}{x}$
Question 01JVJ695805K9000
A rectangular park is $120$ m long and $50$ m wide. A person walks along the le...1/3 changed 1656ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01JVJ695805K...
OriginalA rectangular park is $120$ m long and $50$ m wide. A person walks along the length, then the width, and returns along the diagonal path. What is the total distance walked, to the nearest metre?Converted[CHANGED] A rectangular park is $120$ m long and $50$ m wide. A person walks along the length, then the width, and returns along the diagonal path. What is the total distance walked, to the nearest meter?
ShortQuestion.suffix01JVJ695805K...
OriginalmConvertedm
Answers (1)
Answer.contentans_92672a71...
Original300Converted300
Question 01JVJ695814BRSN1
A $17$-metre ladder leans against a vertical wall, with its top $15$ metres abov...1/3 changed 2241ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01JVJ695814B...
OriginalA $17$-metre ladder leans against a vertical wall, with its top $15$ metres above the ground. The foot is then pulled $7$ metres farther from the wall. How many metres does the top of the ladder slide down the wall?Converted[CHANGED] A $17$-meter ladder leans against a vertical wall, with its top $15$ meters above the ground. The foot is then pulled $7$ meters farther from the wall. How many meters does the top of the ladder slide down the wall?
ShortQuestion.suffix01JVJ695814B...
OriginalmConvertedm
Answers (1)
Answer.contentans_4ccaadc6...
Original7Converted7
Question 01JVM2N7AYWWS87S
Which of the following units of length is the longest?2/5 changed 1054ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JVM2N7AYWW...
OriginalWhich of the following units of length is the longest?ConvertedWhich of the following units of length is the longest?
Answers (4)
Answer.contentans_b70202c9...
OriginalA metreConverted[CHANGED] A meter
Answer.contentans_89c0b635...
OriginalA yardConvertedA yard
Answer.contentans_aad71276...
OriginalA mileConvertedA mile
Answer.contentans_34650d87...
OriginalA kilometreConverted[CHANGED] A kilometer
Question 01JVJ7085S8EW2TW
Find the total length, in metres, of the following: $1.25$ km, $38\ 500$ cm and ...1/3 changed 1326ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01JVJ7085S8E...
OriginalFind the total length, in metres, of the following: $1.25$ km, $38\ 500$ cm and $72\ 000$ mmConverted[CHANGED] Find the total length, in meters, of the following: $1.25$ km, $38\ 500$ cm and $72\ 000$ mm
ShortQuestion.suffix01JVJ7085S8E...
OriginalmConvertedm
Answers (1)
Answer.contentans_01K2B7C1...
Original1707Converted1707
Question 01JVJ7AJWEZQYSN0
A delivery route has three segments. The first segment is $2.8$ km, the next is...1/5 changed 1647ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JVJ7AJWEZQ...
OriginalA delivery route has three segments. The first segment is $2.8$ km, the next is $1550$ m, and the last is $35000$ cm. What is the total length of the route in kilometres?Converted[CHANGED] A delivery route has three segments. The first segment is $2.8$ km, the next is $1550$ m, and the last is $35000$ cm. What is the total length of the route in kilometers?
Answers (4)
Answer.contentans_01K3MNZB...
Original$470$ kmConverted$470$ km
Answer.contentans_01K3MNZB...
Original$47$ kmConverted$47$ km
Answer.contentans_01K3MNZB...
Original$4.7$ kmConverted$4.7$ km
Answer.contentans_01K3MNZB...
Original$4700$ kmConverted$4700$ km
Question 01JVM2N7B0DZ4MP5
Which list shows common liquid volume units in order from smallest to largest?4/5 changed 1093ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JVM2N7B0DZ...
OriginalWhich list shows common liquid volume units in order from smallest to largest?ConvertedWhich list shows common liquid volume units in order from smallest to largest?
Answers (4)
Answer.contentans_01JVR8XD...
OriginalLitre, gallon, pintConverted[CHANGED] Liter, gallon, pint
Answer.contentans_01JVR8XD...
OriginalPint, gallon, litreConverted[CHANGED] Pint, gallon, liter
Answer.contentans_01JVR8XD...
OriginalPint, litre, gallonConverted[CHANGED] Pint, liter, gallon
Answer.contentans_01JVR8XD...
OriginalLitre, pint, gallonConverted[CHANGED] Liter, pint, gallon
Question 01JVJ2GWQ4MEF66X
The function $h(t) = -4.9t^2 + 20t + 1.5$ describes the height of a projectile i...1/5 changed 3709ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JVJ2GWQ4ME...
OriginalThe function $h(t) = -4.9t^2 + 20t + 1.5$ describes the height of a projectile in metres, $t$ seconds after launch. What is the instantaneous rate of change of height at $t=2$ seconds?Converted[CHANGED] The function $h(t) = -4.9t^2 + 20t + 1.5$ describes the height of a projectile in meters, $t$ seconds after launch. What is the instantaneous rate of change of height at $t=2$ seconds?
Answers (4)
Answer.contentans_214855fe...
Original$21.9 \text{ m/s}$Converted$21.9 \text{ m/s}$
Answer.contentans_ef26ca38...
Original$0.4 \text{ m/s}$Converted$0.4 \text{ m/s}$
Answer.contentans_fcea6f97...
Original$-19.6 \text{ m/s}$Converted$-19.6 \text{ m/s}$
Answer.contentans_70354ceb...
Original$1.8 \text{ m/s}$Converted$1.8 \text{ m/s}$
Question 01JVM2N7B4BFZ96J
What units would a builder most commonly use to measure the length of a large ro...4/5 changed 1369ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JVM2N7B4BF...
OriginalWhat units would a builder most commonly use to measure the length of a large room?ConvertedWhat units would a builder most commonly use to measure the length of a large room?
Answers (4)
Answer.contentans_01JVR97S...
OriginalCentimetres or inchesConverted[CHANGED] Centimeters or inches
Answer.contentans_01JVR97S...
OriginalMillilitres or cupsConverted[CHANGED] Milliliters or cups
Answer.contentans_01JVR97S...
OriginalKilometres or milesConverted[CHANGED] Kilometers or miles
Answer.contentans_01JVR97S...
OriginalMetres or feet or yardsConverted[CHANGED] Meters or feet or yards
Question 01JVM2N7B10JKJDT
What units are typically used on road signs or maps to measure long distances be...4/5 changed 1433ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JVM2N7B10J...
OriginalWhat units are typically used on road signs or maps to measure long distances between cities?ConvertedWhat units are typically used on road signs or maps to measure long distances between cities?
Answers (4)
Answer.contentans_01JVR8VR...
OriginalLitres or gallonsConverted[CHANGED] Liters or gallons
Answer.contentans_01JVR8VR...
OriginalKilometres or milesConverted[CHANGED] Kilometers or miles
Answer.contentans_01JVR8VR...
OriginalMetres or yardsConverted[CHANGED] Meters or yards
Answer.contentans_01JVR8VR...
OriginalCentimetres or inchesConverted[CHANGED] Centimeters or inches
Question 01JW5QPTNH6VX6KF
What factor does the SI prefix ‘kilo-’ represent in terms like kilogram or kilom...1/3 changed 1099ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01JW5QPTNH6V...
OriginalWhat factor does the SI prefix ‘kilo-’ represent in terms like kilogram or kilometre?Converted[CHANGED] What factor does the SI prefix ‘kilo-’ represent in terms like kilogram or kilometer?
Answers (2)
Answer.contentans_c64ea207...
Original1000Converted1000
Answer.contentans_aee35b19...
Original10^3Converted10^3
Question 01JVM2N7B6MPPAVG
Which units are most appropriate for measuring a small amount of cooking oil in ...2/5 changed 1821ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JVM2N7B6MP...
OriginalWhich units are most appropriate for measuring a small amount of cooking oil in a recipe?ConvertedWhich units are most appropriate for measuring a small amount of cooking oil in a recipe?
Answers (4)
Answer.contentans_01JX1B5E...
OriginalMillilitres or teaspoonsConverted[CHANGED] Milliliters or teaspoons
Answer.contentans_01JVR9MN...
OriginalCups or fluid ouncesConvertedCups or fluid ounces
Answer.contentans_01JVR9MN...
OriginalLitres or gallonsConverted[CHANGED] Liters or gallons
Answer.contentans_01JVR9MN...
OriginalKilograms or poundsConvertedKilograms or pounds
Question 01JW5RGMGP8GBFQV
True or false: An experiment that involves spinning a $5$-section spinner, draw...1/3 changed 1457ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW5RGMGP8G...
OriginalTrue or false: An experiment that involves spinning a $5$-section spinner, drawing a coloured card, then flipping a coin based on the card's colour is a multi-step experiment.Converted[CHANGED] True or false: An experiment that involves spinning a $5$-section spinner, drawing a colored card, then flipping a coin based on the card's color is a multi-step experiment.
Answers (2)
Answer.contentans_a8d4c5ae...
OriginalTrueConvertedTrue
Answer.contentans_3907387a...
OriginalFalseConvertedFalse
Question 01JW5RGMJ5Q6PWBY
A kite has an area of $1.2$ m$^2$. One of its diagonals measures $150$ cm. What...1/3 changed 1537ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01JW5RGMJ5Q6...
OriginalA kite has an area of $1.2$ m$^2$. One of its diagonals measures $150$ cm. What is the length of the other diagonal in centimetres?Converted[CHANGED] A kite has an area of $1.2$ m$^2$. One of its diagonals measures $150$ cm. What is the length of the other diagonal in centimeters?
ShortQuestion.suffix01JW5RGMJ5Q6...
OriginalcmConvertedcm
Answers (1)
Answer.contentans_01JXCAKY...
Original160Converted160
Question 01JW5RGMJC3A3CYX
True or false: The cubic metre (m$^3$), is a base SI unit.1/3 changed 1081ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW5RGMJC3A...
OriginalTrue or false: The cubic metre (m$^3$), is a base SI unit.Converted[CHANGED] True or false: The cubic meter (m$^3$), is a base SI unit.
Answers (2)
Answer.contentans_9e345ee3...
OriginalTrueConvertedTrue
Answer.contentans_004912d8...
OriginalFalseConvertedFalse
Question 01JW5RGMJC3A3CYX
The SI base unit for length is the metre (m). Which of these is a derived SI uni...4/5 changed 1604ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW5RGMJC3A...
OriginalThe SI base unit for length is the metre (m). Which of these is a derived SI unit for area?Converted[CHANGED] The SI base unit for length is the meter (m). Which of these is a derived SI unit for area?
Answers (4)
Answer.contentans_570556a6...
OriginalCubic metre (m$^3$)Converted[CHANGED] Cubic meter (m$^3$)
Answer.contentans_540eadb3...
OriginalHectare (ha)ConvertedHectare (ha)
Answer.contentans_ddd6e5d7...
OriginalSquare metre (m$^2$)Converted[CHANGED] Square meter (m$^2$)
Answer.contentans_2a821094...
OriginalLitre (L)Converted[CHANGED] Liter (L)
Question 01JW5RGMJDT4PGJC
If a length is $5$ millimetres (mm), how many metres is this?1/5 changed 1250ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW5RGMJDT4...
OriginalIf a length is $5$ millimetres (mm), how many metres is this?Converted[CHANGED] If a length is $5$ millimeters (mm), how many meters is this?
Answers (4)
Answer.contentans_01JXETHD...
Original$0.05$ mConverted$0.05$ m
Answer.contentans_01JXETHD...
Original$0.5$ mConverted$0.5$ m
Answer.contentans_01JXETHD...
Original$5000$ mConverted$5000$ m
Answer.contentans_01JXETHD...
Original$0.005$ mConverted$0.005$ m
Question 01JW5RGMK637EEJJ
A spinner has four unequal sectors with probabilities: $R = 0.3$, $B = 0.25$, $G...1/5 changed 1578ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW5RGMK637...
OriginalA spinner has four unequal sectors with probabilities: $R = 0.3$, $B = 0.25$, $G = 0.2$, $Y = 0.25$. After $200$ spins, the results are: $R = 55$, $B = 50$, $G = 45$, $Y = 50$. Which colour shows the largest positive difference between experimental and theoretical probability?Converted[CHANGED] A spinner has four unequal sectors with probabilities: $R = 0.3$, $B = 0.25$, $G = 0.2$, $Y = 0.25$. After $200$ spins, the results are: $R = 55$, $B = 50$, $G = 45$, $Y = 50$. Which color shows the largest positive difference between experimental and theoretical probability?
Answers (4)
Answer.contentans_29b96762...
OriginalRedConvertedRed
Answer.contentans_3b71231c...
OriginalBlueConvertedBlue
Answer.contentans_d9e07c04...
OriginalGreenConvertedGreen
Answer.contentans_04e41ad0...
OriginalYellowConvertedYellow
Question 01JW5RGMQPJRPKG8
The sample variance ($s^2$) for a set of measurements is calculated to be $2.25$...1/5 changed 1631ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW5RGMQPJR...
OriginalThe sample variance ($s^2$) for a set of measurements is calculated to be $2.25$ m$^2$. What is the sample standard deviation ($s$) in metres?Converted[CHANGED] The sample variance ($s^2$) for a set of measurements is calculated to be $2.25$ m$^2$. What is the sample standard deviation ($s$) in meters?
Answers (4)
Answer.contentans_01JWAQ3K...
Original$2.25$ mConverted$2.25$ m
Answer.contentans_01JWAQ3K...
Original$1.125$ mConverted$1.125$ m
Answer.contentans_01JWAQ3K...
Original$5.0625$ mConverted$5.0625$ m
Answer.contentans_01JWAQ3K...
Original$1.5$ mConverted$1.5$ m
Question 01JW7X7JWPCQFR56
Scaling involves changing the $\fbox{\phantom{4000000000}}$ of a shape.1/5 changed 1226ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7JWPCQ...
OriginalScaling involves changing the $\fbox{\phantom{4000000000}}$ of a shape.ConvertedScaling involves changing the $\fbox{\phantom{4000000000}}$ of a shape.
Answers (4)
Answer.contentans_ff1a852f...
OriginalsizeConvertedsize
Answer.contentans_ef2d3ac3...
OriginalorientationConvertedorientation
Answer.contentans_6062e205...
OriginalcolourConverted[CHANGED] color
Answer.contentans_b5cd4d35...
OriginallocationConvertedlocation
Question 01JW5RGMR0JS4ZCQ
Which of the following datasets contains both categorical and numerical variable...1/5 changed 1556ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW5RGMR0JS...
OriginalWhich of the following datasets contains both categorical and numerical variables?ConvertedWhich of the following datasets contains both categorical and numerical variables?
Answers (4)
Answer.contentans_1891f401...
OriginalA list of student birth years and heightsConvertedA list of student birth years and heights
Answer.contentans_a1d2e512...
OriginalA table of car engine sizes in litresConverted[CHANGED] A table of car engine sizes in liters
Answer.contentans_1450791d...
OriginalA record of weekly rainfall amounts over a yearConvertedA record of weekly rainfall amounts over a year
Answer.contentans_390d3c1d...
OriginalA list of laptop brands and their processor speedsConvertedA list of laptop brands and their processor speeds
Question 01JW7X7JX3Y69JQD
A $\fbox{\phantom{4000000000}}$ is a three-dimensional solid with all points o...1/5 changed 1378ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7JX3Y6...
OriginalA $\fbox{\phantom{4000000000}}$ is a three-dimensional solid with all points on its surface equidistant from its centre.Converted[CHANGED] A $\fbox{\phantom{4000000000}}$ is a three-dimensional solid with all points on its surface equidistant from its center.
Answers (4)
Answer.contentans_9f885695...
OriginalconeConvertedcone
Answer.contentans_513eec1a...
OriginalpyramidConvertedpyramid
Answer.contentans_fd8878b1...
OriginalsphereConvertedsphere
Answer.contentans_edb9f31b...
OriginalcylinderConvertedcylinder
Question 01JW7X7JX6E6B88K
The $\fbox{\phantom{4000000000}}$ of rotation refers to how many degrees an ob...1/5 changed 1306ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7JX6E6...
OriginalThe $\fbox{\phantom{4000000000}}$ of rotation refers to how many degrees an object is turned.ConvertedThe $\fbox{\phantom{4000000000}}$ of rotation refers to how many degrees an object is turned.
Answers (4)
Answer.contentans_4c1164c7...
OriginalangleConvertedangle
Answer.contentans_601ea87f...
OriginalmagnitudeConvertedmagnitude
Answer.contentans_0fbc0b60...
OriginaldirectionConverteddirection
Answer.contentans_6d3264e5...
OriginalcentreConverted[CHANGED] center
Question 01JW7X7K11HMPJRB
Square metres and square centimetres are units of $\fbox{\phantom{4000000000}}$1/5 changed 1307ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7K11HM...
OriginalSquare metres and square centimetres are units of $\fbox{\phantom{4000000000}}$Converted[CHANGED] Square meters and square centimeters are units of $\fbox{\phantom{4000000000}}$
Answers (4)
Answer.contentans_c5516226...
OriginalareaConvertedarea
Answer.contentans_d0c0aa21...
OriginallengthConvertedlength
Answer.contentans_3b16afc9...
OriginalperimeterConvertedperimeter
Answer.contentans_a2f3f0d8...
OriginalvolumeConvertedvolume
Question 01JW7X7JY51DBG4A
The $\fbox{\phantom{4000000000}}$ is the distance from the centre of a circle ...1/5 changed 1337ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7JY51D...
OriginalThe $\fbox{\phantom{4000000000}}$ is the distance from the centre of a circle to any point on its circumference.Converted[CHANGED] The $\fbox{\phantom{4000000000}}$ is the distance from the center of a circle to any point on its circumference.
Answers (4)
Answer.contentans_4fc6daf1...
OriginaldiameterConverteddiameter
Answer.contentans_9029fd16...
OriginalradiusConvertedradius
Answer.contentans_a46159ef...
OriginalarcConvertedarc
Answer.contentans_36ac4018...
OriginalchordConvertedchord
Question 01JW5RGMKR1GS0E7
A rectangle has a length that is $3$ metres more than its width. If the area of...1/5 changed 3616ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW5RGMKR1G...
OriginalA rectangle has a length that is $3$ metres more than its width. If the area of the rectangle is equal to its perimeter, which equation represents this situation?Converted[CHANGED] A rectangle has a length that is $3$ meters more than its width. If the area of the rectangle is equal to its perimeter, which equation represents this situation?
Answers (4)
Answer.contentans_49c2ba9f...
Original$x(x + 3) = 4x + 3$Converted$x(x + 3) = 4x + 3$
Answer.contentans_905902db...
Original$x(x + 3) = 2x + 2(x + 3)$Converted$x(x + 3) = 2x + 2(x + 3)$
Answer.contentans_0f151d3b...
Original$x(x + 3) = 2(x + 3)$Converted$x(x + 3) = 2(x + 3)$
Answer.contentans_1f6df5e0...
Original$x(x + 3) = 2x + 3$Converted$x(x + 3) = 2x + 3$
Question 01JW7X7K11HMPJRB
Cubic metres and cubic centimetres are units of $\fbox{\phantom{4000000000}}$1/5 changed 1325ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7K11HM...
OriginalCubic metres and cubic centimetres are units of $\fbox{\phantom{4000000000}}$Converted[CHANGED] Cubic meters and cubic centimeters are units of $\fbox{\phantom{4000000000}}$
Answers (4)
Answer.contentans_6a0cbf5f...
OriginallengthConvertedlength
Answer.contentans_4aa00ab6...
OriginalperimeterConvertedperimeter
Answer.contentans_78101837...
OriginalareaConvertedarea
Answer.contentans_18f4baaa...
OriginalvolumeConvertedvolume
Question 01JW7X7K1613240C
Counting means saying numbers in $\fbox{\phantom{4000000000}}$1/5 changed 1169ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7K1613...
OriginalCounting means saying numbers in $\fbox{\phantom{4000000000}}$ConvertedCounting means saying numbers in $\fbox{\phantom{4000000000}}$
Answers (4)
Answer.contentans_01K8588M...
OriginalsilenceConvertedsilence
Answer.contentans_01K8588M...
OriginalorderConvertedorder
Answer.contentans_01K8588M...
OriginalcolourConverted[CHANGED] color
Answer.contentans_01K8588M...
Originala circleConverteda circle
Question 01JW7X7K32HW6P30
To find the next shape in a growing pattern, look for the $\fbox{\phantom{400000...1/5 changed 1292ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7K32HW...
OriginalTo find the next shape in a growing pattern, look for the $\fbox{\phantom{4000000000}}$ in how the shapes grow.ConvertedTo find the next shape in a growing pattern, look for the $\fbox{\phantom{4000000000}}$ in how the shapes grow.
Answers (4)
Answer.contentans_01K870M3...
OriginalcornerConvertedcorner
Answer.contentans_01K870M3...
OriginalshapeConvertedshape
Answer.contentans_01K870M3...
OriginalcolourConverted[CHANGED] color
Answer.contentans_7dcc7015...
OriginalruleConvertedrule
Question 01JW7X7K1JF7HDFN
A unit circle has a $\fbox{\phantom{4000000000}}$ of $1$ unit.1/5 changed 1796ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7K1JF7...
OriginalA unit circle has a $\fbox{\phantom{4000000000}}$ of $1$ unit.ConvertedA unit circle has a $\fbox{\phantom{4000000000}}$ of $1$ unit.
Answers (4)
Answer.contentans_56bc5d1d...
OriginalcentreConverted[CHANGED] center
Answer.contentans_795af782...
OriginaldiameterConverteddiameter
Answer.contentans_b9ba9ee9...
OriginalradiusConvertedradius
Answer.contentans_b6fa1116...
OriginalcircumferenceConvertedcircumference
Question 01JW7X7K1QES0DW5
Centimetres and millimetres are $\fbox{\phantom{4000000000}}$ of length.1/5 changed 1774ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7K1QES...
OriginalCentimetres and millimetres are $\fbox{\phantom{4000000000}}$ of length.Converted[CHANGED] Centimeters and millimeters are $\fbox{\phantom{4000000000}}$ of length.
Answers (4)
Answer.contentans_d39eb528...
OriginaltypesConvertedtypes
Answer.contentans_6e6692b7...
OriginalinstrumentsConvertedinstruments
Answer.contentans_d2e2ca8d...
OriginaltoolsConvertedtools
Answer.contentans_3e061b42...
OriginalunitsConvertedunits
Question 01JW7X7K44GBYYC8
All points on the surface of a sphere are an equal distance from its $\fbox{\ph...1/5 changed 1344ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7K44GB...
OriginalAll points on the surface of a sphere are an equal distance from its $\fbox{\phantom{4000000000}}$ConvertedAll points on the surface of a sphere are an equal distance from its $\fbox{\phantom{4000000000}}$
Answers (4)
Answer.contentans_556bfbbe...
OriginalradiusConvertedradius
Answer.contentans_4f3f561a...
OriginalcircumferenceConvertedcircumference
Answer.contentans_9c825687...
OriginaldiameterConverteddiameter
Answer.contentans_a1775f9a...
OriginalcentreConverted[CHANGED] center
Question 01JW7X7K4Z4RT1D2
The $\fbox{\phantom{4000000000}}$ is a line segment that passes through the ce...1/5 changed 1271ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7K4Z4R...
OriginalThe $\fbox{\phantom{4000000000}}$ is a line segment that passes through the centre of a circle and whose endpoints are on the circle.Converted[CHANGED] The $\fbox{\phantom{4000000000}}$ is a line segment that passes through the center of a circle and whose endpoints are on the circle.
Answers (4)
Answer.contentans_a404051d...
OriginaltangentConvertedtangent
Answer.contentans_da160b64...
OriginaldiameterConverteddiameter
Answer.contentans_918bf332...
OriginalchordConvertedchord
Answer.contentans_6c6f991d...
OriginalradiusConvertedradius
Question 01JW7X7K4Z4RT1D2
The $\fbox{\phantom{4000000000}}$ is a line segment from the centre of a circl...1/5 changed 1484ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7K4Z4R...
OriginalThe $\fbox{\phantom{4000000000}}$ is a line segment from the centre of a circle to any point on the circumference.Converted[CHANGED] The $\fbox{\phantom{4000000000}}$ is a line segment from the center of a circle to any point on the circumference.
Answers (4)
Answer.contentans_be91880f...
OriginalradiusConvertedradius
Answer.contentans_64fa31b8...
OriginaldiameterConverteddiameter
Answer.contentans_ac66809d...
OriginaltangentConvertedtangent
Answer.contentans_c1304a33...
OriginalchordConvertedchord
Question 01JW7X7K69MM7TCW
Area is measured in $\fbox{\phantom{4000000000}}$ units, such as square centime...1/5 changed 1300ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7K69MM...
OriginalArea is measured in $\fbox{\phantom{4000000000}}$ units, such as square centimetres or square metres.Converted[CHANGED] Area is measured in $\fbox{\phantom{4000000000}}$ units, such as square centimeters or square meters.
Answers (4)
Answer.contentans_daccb4bb...
OriginallinearConvertedlinear
Answer.contentans_a5eb14f4...
OriginalsquaredConvertedsquared
Answer.contentans_5b86a11c...
OriginalcubedConvertedcubed
Answer.contentans_9e80ca3e...
OriginalderivedConvertedderived
Question 01JW7X7KAM6MKQAH
Conditional probability is used to analyse situations with $\fbox{\phantom{4000...1/5 changed 1178ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7KAM6M...
OriginalConditional probability is used to analyse situations with $\fbox{\phantom{4000000000}}$ events.Converted[CHANGED] Conditional probability is used to analyze situations with $\fbox{\phantom{4000000000}}$ events.
Answers (4)
Answer.contentans_cdc3e9bf...
OriginaldependentConverteddependent
Answer.contentans_6e2baa7a...
OriginalcombinedConvertedcombined
Answer.contentans_91705293...
OriginalindependentConvertedindependent
Answer.contentans_81e87798...
Originalmutually exclusiveConvertedmutually exclusive
Question 01JW7X7KAP7E231Q
Square metres and square centimetres represent units of $\fbox{\phantom{4000000...1/5 changed 1261ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7KAP7E...
OriginalSquare metres and square centimetres represent units of $\fbox{\phantom{4000000000}}$Converted[CHANGED] Square meters and square centimeters represent units of $\fbox{\phantom{4000000000}}$
Answers (4)
Answer.contentans_52c0d1b6...
OriginalvolumeConvertedvolume
Answer.contentans_432fcfeb...
OriginalareaConvertedarea
Answer.contentans_56e5e195...
OriginallengthConvertedlength
Answer.contentans_f57421f7...
OriginalperimeterConvertedperimeter
Question 01JW7X7K65M8G3RH
The metric system uses units like metres, litres, and $\fbox{\phantom{400000000...1/5 changed 2139ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01JW7X7K65M8...
OriginalThe metric system uses units like metres, litres, and $\fbox{\phantom{4000000000}}$Converted[CHANGED] The metric system uses units like meters, liters, and $\fbox{\phantom{4000000000}}$
Answers (4)
Answer.contentans_d731dea6...
OriginalkilogramsConvertedkilograms
Answer.contentans_4bf89caf...
OriginalgallonsConvertedgallons
Answer.contentans_1881424f...
OriginalpoundsConvertedpounds
Answer.contentans_0d9ad550...
OriginalouncesConvertedounces
Question 01K0RMP952AB1QWF
Convert $0.8$ cubic metres to litres.1/5 changed 1548ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01K0RMP952AB...
OriginalConvert $0.8$ cubic metres to litres.Converted[CHANGED] Convert $0.8$ cubic meters to liters.
Answers (4)
Answer.contentans_a0417796...
Original$8000$ LConverted$8000$ L
Answer.contentans_eed8ffa4...
Original$8$ LConverted$8$ L
Answer.contentans_85eda10a...
Original$800$ LConverted$800$ L
Answer.contentans_1b1547f2...
Original$80$ LConverted$80$ L
Question 01K0RMP953G0C2PW
Water is flowing at a rate of $300$ millilitres per second. How many litres flow...1/5 changed 1579ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01K0RMP953G0...
OriginalWater is flowing at a rate of $300$ millilitres per second. How many litres flow in one minute?Converted[CHANGED] Water is flowing at a rate of $300$ milliliters per second. How many liters flow in one minute?
Answers (4)
Answer.contentans_3d642f30...
Original$180$ LConverted$180$ L
Answer.contentans_210bcdd9...
Original$18$ LConverted$18$ L
Answer.contentans_9df90f26...
Original$1.8$ LConverted$1.8$ L
Answer.contentans_c38c0c9a...
Original$1800$ LConverted$1800$ L
Question 01K0RMVPQE919RNF
Calculate the surface area of a sphere with a radius of $10$ m to the nearest sq...1/3 changed 1104ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMVPQE91...
OriginalCalculate the surface area of a sphere with a radius of $10$ m to the nearest square metre.Converted[CHANGED] Calculate the surface area of a sphere with a radius of $10$ m to the nearest square meter.
ShortQuestion.suffix01K0RMVPQE91...
Originalm$^2$Convertedm$^2$
Answers (1)
Answer.contentans_01K0ZSNW...
Original1257Converted1257
Question 01K0RMVPQMN50B6W
Calculate the surface area of a sphere with a radius of $3.5$ cm to the nearest ...1/3 changed 1042ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMVPQMN5...
OriginalCalculate the surface area of a sphere with a radius of $3.5$ cm to the nearest square centimetre.Converted[CHANGED] Calculate the surface area of a sphere with a radius of $3.5$ cm to the nearest square centimeter.
ShortQuestion.suffix01K0RMVPQMN5...
Originalcm$^2$Convertedcm$^2$
Answers (1)
Answer.contentans_01K0SC8K...
Original154Converted154
Question 01K0RMSP9237E8RH
An ice cream cone has a height of $10$ cm and a diameter of $6$ cm. Find the vo...1/5 changed 1880ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01K0RMSP9237...
OriginalAn ice cream cone has a height of $10$ cm and a diameter of $6$ cm. Find the volume of the cone to the nearest cubic centimetre.Converted[CHANGED] An ice cream cone has a height of $10$ cm and a diameter of $6$ cm. Find the volume of the cone to the nearest cubic centimeter.
Answers (4)
Answer.contentans_1801d11e...
Original$94$ cm$^3$Converted$94$ cm$^3$
Answer.contentans_d230294d...
Original$283$ cm$^3$Converted$283$ cm$^3$
Answer.contentans_4986215e...
Original$38$ cm$^3$Converted$38$ cm$^3$
Answer.contentans_32cff1f3...
Original$314$ cm$^3$Converted$314$ cm$^3$
Question 01K0RMVPQP1NEEZK
The surface area of a sphere is approximately $616$ cm$^2$. Find the radius of t...1/3 changed 1157ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMVPQP1N...
OriginalThe surface area of a sphere is approximately $616$ cm$^2$. Find the radius of the sphere to the nearest centimetre.Converted[CHANGED] The surface area of a sphere is approximately $616$ cm$^2$. Find the radius of the sphere to the nearest centimeter.
ShortQuestion.suffix01K0RMVPQP1N...
OriginalcmConvertedcm
Answers (1)
Answer.contentans_01K0SC9K...
Original7Converted7
Question 01K0RMVPR9QMJ3CZ
Calculate the volume of a cone with a radius of $5$ m and a height of $6$ m to t...1/3 changed 1370ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMVPR9QM...
OriginalCalculate the volume of a cone with a radius of $5$ m and a height of $6$ m to the nearest cubic metre.Converted[CHANGED] Calculate the volume of a cone with a radius of $5$ m and a height of $6$ m to the nearest cubic meter.
ShortQuestion.suffix01K0RMVPR9QM...
Originalm$^3$Convertedm$^3$
Answers (1)
Answer.contentans_01K0RY9A...
Original157Converted157
Question 01K0RMVPS2AAMTEE
A sphere has a diameter of $9$ cm. Find its volume to the nearest cubic centime...1/3 changed 1130ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMVPS2AA...
OriginalA sphere has a diameter of $9$ cm. Find its volume to the nearest cubic centimetre.Converted[CHANGED] A sphere has a diameter of $9$ cm. Find its volume to the nearest cubic centimeter.
ShortQuestion.suffix01K0RMVPS2AA...
Originalcm$^3$Convertedcm$^3$
Answers (1)
Answer.contentans_01K0RWAY...
Original382Converted382
Question 01K0RMVPS4J9766Q
The volume of a sphere is $113.04$ m$^3$. Find its radius to the nearest metre.1/3 changed 1511ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMVPS4J9...
OriginalThe volume of a sphere is $113.04$ m$^3$. Find its radius to the nearest metre.Converted[CHANGED] The volume of a sphere is $113.04$ m$^3$. Find its radius to the nearest meter.
ShortQuestion.suffix01K0RMVPS4J9...
OriginalmConvertedm
Answers (1)
Answer.contentans_01K0RWE7...
Original3Converted3
Question 01K0RMY53XJ5XQ65
Convert $2$ litres to millilitres.1/3 changed 1333ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMY53XJ5...
OriginalConvert $2$ litres to millilitres.Converted[CHANGED] Convert $2$ liters to milliliters.
ShortQuestion.suffix01K0RMY53XJ5...
OriginalmLConvertedmL
Answers (1)
Answer.contentans_f3b4016d...
Original2000Converted2000
Question 01K0RMY53Y1YEQGZ
Convert $5000$ litres to kilolitres.1/3 changed 977ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMY53Y1Y...
OriginalConvert $5000$ litres to kilolitres.Converted[CHANGED] Convert $5000$ liters to kiloliters.
ShortQuestion.suffix01K0RMY53Y1Y...
OriginalkLConvertedkL
Answers (1)
Answer.contentans_ac44a561...
Original5Converted5
Question 01K0RMY540HM4AYR
Convert $1$ cubic metre to litres.1/3 changed 1455ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMY540HM...
OriginalConvert $1$ cubic metre to litres.Converted[CHANGED] Convert $1$ cubic meter to liters.
ShortQuestion.suffix01K0RMY540HM...
OriginalLConvertedL
Answers (1)
Answer.contentans_ac0ae79b...
Original1000Converted1000
Question 01K0RMY541PZ5ATD
How many millilitres are in $1$ cubic centimetre?1/3 changed 1161ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMY541PZ...
OriginalHow many millilitres are in $1$ cubic centimetre?Converted[CHANGED] How many milliliters are in $1$ cubic centimeter?
ShortQuestion.suffix01K0RMY541PZ...
OriginalmLConvertedmL
Answers (1)
Answer.contentans_6bfa9f12...
Original1Converted1
Question 01K0RMY54390PNYW
Convert $3.75$ litres to millilitres.1/3 changed 1169ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMY54390...
OriginalConvert $3.75$ litres to millilitres.Converted[CHANGED] Convert $3.75$ liters to milliliters.
ShortQuestion.suffix01K0RMY54390...
OriginalmLConvertedmL
Answers (1)
Answer.contentans_147ddf06...
Original3750Converted3750
Question 01K0RMY54390PNYW
A container has a volume of $4500$ cm$^3$. What is its volume in litres?1/3 changed 1285ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMY54390...
OriginalA container has a volume of $4500$ cm$^3$. What is its volume in litres?Converted[CHANGED] A container has a volume of $4500$ cm$^3$. What is its volume in liters?
ShortQuestion.suffix01K0RMY54390...
OriginalLConvertedL
Answers (1)
Answer.contentans_7da28430...
Original4.5Converted4.5
Question 01K0RMY545F1HWZY
Convert $25$ millilitres to cubic centimetres.1/3 changed 1306ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMY545F1...
OriginalConvert $25$ millilitres to cubic centimetres.Converted[CHANGED] Convert $25$ milliliters to cubic centimeters.
ShortQuestion.suffix01K0RMY545F1...
Originalcm$^3$Convertedcm$^3$
Answers (1)
Answer.contentans_503723fd...
Original25Converted25
Question 01K0RMY544KYWARH
A swimming pool has a capacity of $120$ kilolitres. How many litres is this?1/3 changed 1770ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMY544KY...
OriginalA swimming pool has a capacity of $120$ kilolitres. How many litres is this?Converted[CHANGED] A swimming pool has a capacity of $120$ kiloliters. How many liters is this?
ShortQuestion.suffix01K0RMY544KY...
OriginalLConvertedL
Answers (1)
Answer.contentans_f406e083...
Original120000Converted120000
Question 01K0RMY54829EQTT
Convert $0.025$ cubic metres to millilitres.1/3 changed 1472ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMY54829...
OriginalConvert $0.025$ cubic metres to millilitres.Converted[CHANGED] Convert $0.025$ cubic meters to milliliters.
ShortQuestion.suffix01K0RMY54829...
OriginalmLConvertedmL
Answers (1)
Answer.contentans_ee42340b...
Original25000Converted25000
Question 01K0RMY54991JHG1
A fish tank has dimensions $80$ cm $ imes$ $50$ cm $ imes$ $40$ cm. What is its ...1/3 changed 1344ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMY54991...
OriginalA fish tank has dimensions $80$ cm $ imes$ $50$ cm $ imes$ $40$ cm. What is its volume in litres?Converted[CHANGED] A fish tank has dimensions $80$ cm $ imes$ $50$ cm $ imes$ $40$ cm. What is its volume in liters?
ShortQuestion.suffix01K0RMY54991...
OriginalLConvertedL
Answers (1)
Answer.contentans_8a19b3c3...
Original160Converted160
Question 01K0RMY54991JHG1
Convert $1.5$ kilolitres to cubic centimetres.1/3 changed 1273ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMY54991...
OriginalConvert $1.5$ kilolitres to cubic centimetres.Converted[CHANGED] Convert $1.5$ kiloliters to cubic centimeters.
ShortQuestion.suffix01K0RMY54991...
Originalcm$^3$Convertedcm$^3$
Answers (1)
Answer.contentans_a83dfc9e...
Original1500000Converted1500000
Question 01K0RMY54BKTR0FK
A rectangular prism-shaped container measures $0.5$ m by $20$ cm by $100$ mm. Ca...1/3 changed 1443ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K0RMY54BKT...
OriginalA rectangular prism-shaped container measures $0.5$ m by $20$ cm by $100$ mm. Calculate its volume in litres.Converted[CHANGED] A rectangular prism-shaped container measures $0.5$ m by $20$ cm by $100$ mm. Calculate its volume in liters.
ShortQuestion.suffix01K0RMY54BKT...
OriginalLConvertedL
Answers (1)
Answer.contentans_f97c232a...
Original10Converted10
Question 01K94WPKSFSXWCEW
A solid cylinder has a total surface area of $130\pi$ m$^2$ and a radius of $5$ ...1/5 changed 1543ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01K94WPKSFSX...
OriginalA solid cylinder has a total surface area of $130\pi$ m$^2$ and a radius of $5$ m. What is its height in metres?Converted[CHANGED] A solid cylinder has a total surface area of $130\pi$ m$^2$ and a radius of $5$ m. What is its height in meters?
Answers (4)
Answer.contentans_e4e519fa...
Original$6$ mConverted$6$ m
Answer.contentans_d87b13ae...
Original$12$ mConverted$12$ m
Answer.contentans_ca4e46f8...
Original$10$ mConverted$10$ m
Answer.contentans_e1e2eb0c...
Original$8$ mConverted$8$ m
Question 01K94XMXSAV78XBX
A rectangular garden has a length that is $3$ metres longer than its width. If ...1/3 changed 1586ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K94XMXSAV7...
OriginalA rectangular garden has a length that is $3$ metres longer than its width. If the area of the garden is $50$ m$^2$, what is its width? Converted[CHANGED] A rectangular garden has a length that is $3$ meters longer than its width. If the area of the garden is $50$ m$^2$, what is its width?
ShortQuestion.suffix01K94XMXSAV7...
OriginalmConvertedm
Answers (1)
Answer.contentans_0d9e3f32...
Original5.73Converted5.73
Question 01K94WPKT5P7CS27
Circle A has the equation $(x - 2)^2 + (y + 3)^2 = 16$. Circle B has the same ...1/5 changed 1984ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01K94WPKT5P7...
OriginalCircle A has the equation $(x - 2)^2 + (y + 3)^2 = 16$. Circle B has the same centre as Circle A, but its radius is half as large. What is the equation of Circle B?Converted[CHANGED] Circle A has the equation $(x - 2)^2 + (y + 3)^2 = 16$. Circle B has the same center as Circle A, but its radius is half as large. What is the equation of Circle B?
Answers (4)
Answer.contentans_01K9C2HJ...
Original$(x - 2)^2 + (y + 3)^2 = 8$Converted$(x - 2)^2 + (y + 3)^2 = 8$
Answer.contentans_01K9C2HJ...
Original$(x - 2)^2 + (y + 3)^2 = 32$Converted$(x - 2)^2 + (y + 3)^2 = 32$
Answer.contentans_01K9C2HJ...
Original$(x - 2)^2 + (y + 3)^2 = 4$Converted$(x - 2)^2 + (y + 3)^2 = 4$
Answer.contentans_01K9C2HJ...
Original$(x + 2)^2 + (y - 3)^2 = 8$Converted$(x + 2)^2 + (y - 3)^2 = 8$
Question 01K94XMXSZGAD7K2
A pie chart shows students' favourite subjects. 'Maths' represents $25\%$ and '...1/2 changed 1461ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K94XMXSZGA...
OriginalA pie chart shows students' favourite subjects. 'Maths' represents $25\%$ and 'Science' represents $20\%$. If there are $15$ more students who prefer Maths over Science, what is the total number of students surveyed?Converted[CHANGED] A pie chart shows students' favorite subjects. 'Math' represents $25\%$ and 'Science' represents $20\%$. If there are $15$ more students who prefer Math over Science, what is the total number of students surveyed?
Answers (1)
Answer.contentans_02b6bd8c...
Original300Converted300
Question 01K94WPKT895RAHV
Circle M has the equation $(x + 6)^2 + (y - 2)^2 = 81$. Circle N has the same r...1/5 changed 2445ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content01K94WPKT895...
OriginalCircle M has the equation $(x + 6)^2 + (y - 2)^2 = 81$. Circle N has the same radius as Circle M but its centre is shifted $4$ units right and $3$ units up. What is the equation of Circle N?Converted[CHANGED] Circle M has the equation $(x + 6)^2 + (y - 2)^2 = 81$. Circle N has the same radius as Circle M but its center is shifted $4$ units right and $3$ units up. What is the equation of Circle N?
Answers (4)
Answer.contentans_01K9NM8N...
Original$(x + 2)^2 + (y - 5)^2 = 81$Converted$(x + 2)^2 + (y - 5)^2 = 81$
Answer.contentans_01K9NM8N...
Original$(x +10)^2 + (y +1)^2 = 81$Converted$(x +10)^2 + (y +1)^2 = 81$
Answer.contentans_01K9C2P3...
Original$(x + 2)^2 + (y + 1)^2 = 81$Converted$(x + 2)^2 + (y + 1)^2 = 81$
Answer.contentans_01K9C2P3...
Original$(x + 10)^2 + (y - 5)^2 = 81$Converted$(x + 10)^2 + (y - 5)^2 = 81$
Question 01K9CJKKY648M8JN
How can you confirm a shape has been rotated $90^\circ$ clockwise around a speci...1/2 changed 1621ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K9CJKKY648...
OriginalHow can you confirm a shape has been rotated $90^\circ$ clockwise around a specific point?ConvertedHow can you confirm a shape has been rotated $90^\circ$ clockwise around a specific point?
Answers (1)
Answer.contentans_01K9V3MZ...
OriginalTrace the shape and the centre of rotation on tracing paper. Pin it at the centre and turn it $90^\circ$ clockwise. If it matches the new shape, the rotation is confirmed.Converted[CHANGED] Trace the shape and the center of rotation on tracing paper. Pin it at the center and turn it $90^\circ$ clockwise. If it matches the new shape, the rotation is confirmed.
Question 01K9CJKKZ7T7BF4H
Describe the end behaviour difference between $y=x^2$ and $y=x^3$.1/2 changed 1326ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K9CJKKZ7T7...
OriginalDescribe the end behaviour difference between $y=x^2$ and $y=x^3$.Converted[CHANGED] Describe the end behavior difference between $y=x^2$ and $y=x^3$.
Answers (1)
Answer.contentans_0d25be9a...
OriginalFor $y=x^2$ (even power), both ends of the graph go in the same direction (upwards). For $y=x^3$ (odd power), the ends go in opposite directions (one up, one down).ConvertedFor $y=x^2$ (even power), both ends of the graph go in the same direction (upwards). For $y=x^3$ (odd power), the ends go in opposite directions (one up, one down).
Question 01K9CJKKYV13RSF8
Explain why you multiply by $100^2$ when converting square metres to square cent...2/2 changed 1811ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K9CJKKYV13...
OriginalExplain why you multiply by $100^2$ when converting square metres to square centimetres.Converted[CHANGED] Explain why you multiply by $100^2$ when converting square meters to square centimeters.
Answers (1)
Answer.contentans_99001332...
Original$1$ metre equals $100$ centimetres. So, $1\text{ m}^2 = (100\text{ cm}) \times (100\text{ cm}) = 10000\text{ cm}^2$. You multiply by $100 \times 100$, or $100^2$.Converted[CHANGED] $1$ meter equals $100$ centimeters. So, $1\text{ m}^2 = (100\text{ cm}) \times (100\text{ cm}) = 10000\text{ cm}^2$. You multiply by $100 \times 100$, or $100^2$.
Question 01K9CJKKZX1JC9CY
When would you choose a histogram over a bar chart to display data?1/2 changed 1207ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K9CJKKZX1J...
OriginalWhen would you choose a histogram over a bar chart to display data?ConvertedWhen would you choose a histogram over a bar chart to display data?
Answers (1)
Answer.contentans_c92d7e92...
OriginalUse a histogram for continuous numerical data that is grouped into intervals (e.g., height). Use a bar chart for discrete or categorical data (e.g., favourite colour).Converted[CHANGED] Use a histogram for continuous numerical data that is grouped into intervals (e.g., height). Use a bar chart for discrete or categorical data (e.g., favorite color).
Question 01K9CJV85XDD878Z
Why do consecutive sequences naturally form pairs that balance each other, regar...1/2 changed 858ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K9CJV85XDD...
OriginalWhy do consecutive sequences naturally form pairs that balance each other, regardless of the actual numbers involved?ConvertedWhy do consecutive sequences naturally form pairs that balance each other, regardless of the actual numbers involved?
Answers (1)
Answer.contentans_01K9XH6A...
OriginalA constant step size forces the terms to sit symmetrically around a centre, so opposite terms always combine predictably.Converted[CHANGED] A constant step size forces the terms to sit symmetrically around a center, so opposite terms always combine predictably.
Question 01K9CJKM0DP9KXS5
A mail carrier must travel along every street in a neighbourhood. What graph the...1/2 changed 1334ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K9CJKM0DP9...
OriginalA mail carrier must travel along every street in a neighbourhood. What graph theory concept determines if this can be done without repeating any streets?Converted[CHANGED] A mail carrier must travel along every street in a neighborhood. What graph theory concept determines if this can be done without repeating any streets?
Answers (1)
Answer.contentans_079c145e...
OriginalThis is an Eulerian trail/circuit problem. The carrier can do this if the street network (graph) has either zero or exactly two intersections (vertices) with an odd number of streets.ConvertedThis is an Eulerian trail/circuit problem. The carrier can do this if the street network (graph) has either zero or exactly two intersections (vertices) with an odd number of streets.
Question 01K9CJV86Y07XR57
What makes the form $y=a(x-h)^3+k$ useful for graphing cubics?1/2 changed 984ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content01K9CJV86Y07...
OriginalWhat makes the form $y=a(x-h)^3+k$ useful for graphing cubics?ConvertedWhat makes the form $y=a(x-h)^3+k$ useful for graphing cubics?
Answers (1)
Answer.contentans_a47de108...
OriginalIt explicitly states the location of the point of inflection, $(h,k)$, which acts as the graph's centre of rotational symmetry.Converted[CHANGED] It explicitly states the location of the point of inflection, $(h,k)$, which acts as the graph's center of rotational symmetry.
Question 17c12875-49b5-45
Why must we know the data type before we look at the data?1/2 changed 752ms

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Question
ShortQuestion.content17c12875-49b...
OriginalWhy must we know the data type before we look at the data?ConvertedWhy must we know the data type before we look at the data?
Answers (1)
Answer.contentans_01K33A90...
OriginalSo we can organise and compare it correctly.Converted[CHANGED] So we can organize and compare it correctly.
Question 120c51b2-8035-4e
Why do we need multiple measurements to fully describe a wave?1/3 changed 965ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content120c51b2-803...
OriginalWhy do we need multiple measurements to fully describe a wave?ConvertedWhy do we need multiple measurements to fully describe a wave?
ShortQuestion.hint120c51b2-803...
OriginalConsider how amplitude, wavelength, and period provide a complete description.ConvertedConsider how amplitude, wavelength, and period provide a complete description.
Answers (1)
Answer.contentans_1b837f99...
OriginalWe need multiple measurements to fully describe a wave because each measurement captures a different aspect of its behaviour.Converted[CHANGED] We need multiple measurements to fully describe a wave because each measurement captures a different aspect of its behavior.
Question 0adce98c-644f-49
Why do we multiply by $1000$ when changing cubic metres into litres?2/2 changed 1427ms

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Question
ShortQuestion.content0adce98c-644...
OriginalWhy do we multiply by $1000$ when changing cubic metres into litres?Converted[CHANGED] Why do we multiply by $1000$ when changing cubic meters into liters?
Answers (1)
Answer.contentans_01K4BJJ2...
OriginalWe multiply by $1000$ because $1$ cubic metre holds $1000$ litres.Converted[CHANGED] We multiply by $1000$ because $1$ cubic meter holds $1000$ liters.
Question 1851e896-f566-44
Why do box plots use the median and interquartile range to summarise data?2/2 changed 983ms

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Question
ShortQuestion.content1851e896-f56...
OriginalWhy do box plots use the median and interquartile range to summarise data?Converted[CHANGED] Why do box plots use the median and interquartile range to summarize data?
Answers (1)
Answer.contentans_01K5D1V4...
OriginalBecause they describe the centre and spread of a distribution in ways that aren’t distorted by outliers.Converted[CHANGED] Because they describe the center and spread of a distribution in ways that aren’t distorted by outliers.
Question 0yaUKB8lSyJ1yB2k
Which of the following is the equation of a semicircle that corresponds to the u...1/5 changed 1917ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content0yaUKB8lSyJ1...
OriginalWhich of the following is the equation of a semicircle that corresponds to the upper half of a circle with centre at $(4,4)$ and radius $2$ units with its base on the $x-$axis ?Converted[CHANGED] Which of the following is the equation of a semicircle that corresponds to the upper half of a circle with center at $(4,4)$ and radius $2$ units with its base on the $x-$axis ?
Answers (4)
Answer.contentans_01GTC0FY...
Original$y=+\sqrt{4-(x-4)^{2}}+4$Converted$y=+\sqrt{4-(x-4)^{2}}+4$
Answer.contentans_01GTC0FX...
Original$x=+\sqrt{4-(y-4)^{2}}+4$Converted$x=+\sqrt{4-(y-4)^{2}}+4$
Answer.contentans_01GTC0FX...
Original$y=-\sqrt{4-(x-4)^{2}}+4$Converted$y=-\sqrt{4-(x-4)^{2}}+4$
Answer.contentans_01GTC0FW...
Original$x=-\sqrt{4-(y-4)^{2}}+4$Converted$x=-\sqrt{4-(y-4)^{2}}+4$
Question 19a71161-bd7d-42
What makes negative bases unique in exponents?1/3 changed 953ms

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Question
ShortQuestion.content19a71161-bd7...
OriginalWhat makes negative bases unique in exponents?ConvertedWhat makes negative bases unique in exponents?
ShortQuestion.hint19a71161-bd7...
OriginalThe behaviour depends on whether the exponent is odd or even.Converted[CHANGED] The behavior depends on whether the exponent is odd or even.
Answers (1)
Answer.contentans_2c802595...
OriginalNegative bases are unique in exponents because their powers alternate between positive and negative values.ConvertedNegative bases are unique in exponents because their powers alternate between positive and negative values.
Question 1f8c99a6-3863-45
Why do we use two-way tables for calculating probabilities?1/2 changed 908ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content1f8c99a6-386...
OriginalWhy do we use two-way tables for calculating probabilities?ConvertedWhy do we use two-way tables for calculating probabilities?
Answers (1)
Answer.contentans_01K563BW...
OriginalTwo-way tables organise data into categories, making it easier to find totals and use them to calculate probabilities.Converted[CHANGED] Two-way tables organize data into categories, making it easier to find totals and use them to calculate probabilities.
Question 2abc3908-4e42-4f
Why do we use different units to measure liquids and solids?1/2 changed 830ms

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Question
ShortQuestion.content2abc3908-4e4...
OriginalWhy do we use different units to measure liquids and solids?ConvertedWhy do we use different units to measure liquids and solids?
Answers (1)
Answer.contentans_01K3391K...
OriginalLiquids are measured in litres because they flow and fill containers. Solids are measured in cubic units because they keep their shape.Converted[CHANGED] Liquids are measured in liters because they flow and fill containers. Solids are measured in cubic units because they keep their shape.
Question 273734d9-801c-4e
How do asymptotes relate to understanding graphs?1/2 changed 1098ms

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Question
ShortQuestion.content273734d9-801...
OriginalHow do asymptotes relate to understanding graphs?ConvertedHow do asymptotes relate to understanding graphs?
Answers (1)
Answer.contentans_01K5AN9E...
OriginalAsymptotes mark lines the graph approaches but never reaches. They help show the behaviour of the graph and where the function has no values.Converted[CHANGED] Asymptotes mark lines the graph approaches but never reaches. They help show the behavior of the graph and where the function has no values.
Question 2a005ee3-8f53-45
How can changing units of length make solving real-world problems, like measurin...1/2 changed 1118ms

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Question
ShortQuestion.content2a005ee3-8f5...
OriginalHow can changing units of length make solving real-world problems, like measuring distances, easier?ConvertedHow can changing units of length make solving real-world problems, like measuring distances, easier?
Answers (1)
Answer.contentans_01K32Y9T...
OriginalIt makes the numbers easier to work with. For example, adding $2$ km and $500$ m is easier when both are written in metres.Converted[CHANGED] It makes the numbers easier to work with. For example, adding $2$ km and $500$ m is easier when both are written in meters.
Question 1ZZfCpJHcJvQ9dZt
Which of the following is the general equation of a semicircle with centre $(a,b...1/7 changed 1941ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content1ZZfCpJHcJvQ...
OriginalWhich of the following is the general equation of a semicircle with centre $(a,b)$ and radius $r$ units?Converted[CHANGED] Which of the following is the general equation of a semicircle with center $(a,b)$ and radius $r$ units?
Answers (6)
Answer.contentans_01GTC0HN...
Original$y=\pm\sqrt{r^{2}-(x+a)^{2}-b^{2}}$Converted$y=\pm\sqrt{r^{2}-(x+a)^{2}-b^{2}}$
Answer.contentans_01GTC0HM...
Original$y=\pm\sqrt{r^{2}-(x-a)^{2}+b}$Converted$y=\pm\sqrt{r^{2}-(x-a)^{2}+b}$
Answer.contentans_01GTC0HM...
Original$y=\pm\sqrt{r^{2}+(x-a)^{2}}-b^{2}$Converted$y=\pm\sqrt{r^{2}+(x-a)^{2}}-b^{2}$
Answer.contentans_01GTC0HJ...
Original$y=\pm\sqrt{r^{2}-(x-a)^{2}}+b$Converted$y=\pm\sqrt{r^{2}-(x-a)^{2}}+b$
Answer.contentans_01GTC0HH...
Original$y=\pm\sqrt{r^{2}-(x-a)^{2}}-b^{2}$Converted$y=\pm\sqrt{r^{2}-(x-a)^{2}}-b^{2}$
Answer.contentans_01GTC0HH...
Original$y=\pm\sqrt{r^{2}-(x+a)^{2}}+b$Converted$y=\pm\sqrt{r^{2}-(x+a)^{2}}+b$
Question 24b0f43f-35c9-45
Why is it important to understand decimal shifts when solving measurement proble...1/2 changed 1522ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content24b0f43f-35c...
OriginalWhy is it important to understand decimal shifts when solving measurement problems?ConvertedWhy is it important to understand decimal shifts when solving measurement problems?
Answers (1)
Answer.contentans_01K492T1...
OriginalDecimal shifts show how numbers get $10$ times bigger or smaller. This helps when changing units, like $2.5$ metres to $250$ centimetres.Converted[CHANGED] Decimal shifts show how numbers get $10$ times bigger or smaller. This helps when changing units, like $2.5$ meters to $250$ centimeters.
Question 2e525916-2c6a-4a
How does understanding wave features relate to describing different types of wav...1/3 changed 959ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content2e525916-2c6...
OriginalHow does understanding wave features relate to describing different types of waves?ConvertedHow does understanding wave features relate to describing different types of waves?
ShortQuestion.hint2e525916-2c6...
OriginalFocus on the height (amplitude) and the distance between peaks (wavelength).ConvertedFocus on the height (amplitude) and the distance between peaks (wavelength).
Answers (1)
Answer.contentans_2fe28ff7...
OriginalWave features like amplitude and wavelength define wave behaviour and help classify them.Converted[CHANGED] Wave features like amplitude and wavelength define wave behavior and help classify them.
Question 3729e488-0013-4f
What makes cubic metres and litres related?2/2 changed 1025ms

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Question
ShortQuestion.content3729e488-001...
OriginalWhat makes cubic metres and litres related?Converted[CHANGED] What makes cubic meters and liters related?
Answers (1)
Answer.contentans_01K4BJKX...
OriginalThey both measure volume. One cubic metre is the same as $1000$ litres, so they are connected.Converted[CHANGED] They both measure volume. One cubic meter is the same as $1000$ liters, so they are connected.
Question 345a4f08-16d6-49
Why do exponential functions always have horizontal asymptotes?1/3 changed 1056ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content345a4f08-16d...
OriginalWhy do exponential functions always have horizontal asymptotes?ConvertedWhy do exponential functions always have horizontal asymptotes?
ShortQuestion.hint345a4f08-16d...
OriginalThe asymptote reflects the function's limiting behaviour.Converted[CHANGED] The asymptote reflects the function's limiting behavior.
Answers (1)
Answer.contentans_63fa03ca...
OriginalExponential functions always have horizontal asymptotes because their growth or decay levels off towards a constant value.ConvertedExponential functions always have horizontal asymptotes because their growth or decay levels off towards a constant value.
Question 37b74f8d-319f-44
How can knowing SI prefixes make unit conversions easier?1/2 changed 1044ms

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Question
ShortQuestion.content37b74f8d-319...
OriginalHow can knowing SI prefixes make unit conversions easier?ConvertedHow can knowing SI prefixes make unit conversions easier?
Answers (1)
Answer.contentans_01K4BS1K...
OriginalSI prefixes show how many times bigger or smaller a unit is. This makes it quick to change between units, like from kilometres to metres.Converted[CHANGED] SI prefixes show how many times bigger or smaller a unit is. This makes it quick to change between units, like from kilometers to meters.
Question 2cce3326-5707-4b
Why must every point on a circle be exactly $r$ units (the radius) from the cent...1/2 changed 1441ms

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Question
ShortQuestion.content2cce3326-570...
OriginalWhy must every point on a circle be exactly $r$ units (the radius) from the centre $(h,k)$?Converted[CHANGED] Why must every point on a circle be exactly $r$ units (the radius) from the center $(h,k)$?
Answers (1)
Answer.contentans_d18bbe77...
OriginalEvery point on the circle must be exactly $r$ units from $(h, k)$ because the radius defines the fixed distance.ConvertedEvery point on the circle must be exactly $r$ units from $(h, k)$ because the radius defines the fixed distance.
Question 37e69e04-d21b-42
Why do metric measurements use powers of $10$?1/3 changed 984ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content37e69e04-d21...
OriginalWhy do metric measurements use powers of $10$?ConvertedWhy do metric measurements use powers of $10$?
ShortQuestion.hint37e69e04-d21...
OriginalThink about how moving the decimal point left or right converts between units like metres and centimetres.Converted[CHANGED] Think about how moving the decimal point left or right converts between units like meters and centimeters.
Answers (1)
Answer.contentans_aeed4634...
OriginalMetric measurements use powers of $10$ to make conversions simple and consistent.ConvertedMetric measurements use powers of $10$ to make conversions simple and consistent.
Question 37e4f9a5-efe5-47
Why are two-way frequency tables used to analyse potential associations between ...1/2 changed 1083ms

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Question
ShortQuestion.content37e4f9a5-efe...
OriginalWhy are two-way frequency tables used to analyse potential associations between two categorical variables?Converted[CHANGED] Why are two-way frequency tables used to analyze potential associations between two categorical variables?
Answers (1)
Answer.contentans_ec11f06a...
OriginalThey display counts for every combination of categories from the two variables, making it easy to see potential patterns or links.ConvertedThey display counts for every combination of categories from the two variables, making it easy to see potential patterns or links.
Question 39843e92-90de-47
How does understanding centre points help you know where shapes will end up afte...2/2 changed 1081ms

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Question
ShortQuestion.content39843e92-90d...
OriginalHow does understanding centre points help you know where shapes will end up after rotation?Converted[CHANGED] How does understanding center points help you know where shapes will end up after rotation?
Answers (1)
Answer.contentans_01K4VRF7...
OriginalThe centre point is where the shape turns. Each point moves around it in a circle, so knowing the centre helps you work out where the shape ends up.Converted[CHANGED] The center point is where the shape turns. Each point moves around it in a circle, so knowing the center helps you work out where the shape ends up.
Question 3CCCqXTQGIW333h0
Which of the following is not categorical data?2/5 changed 1393ms

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Question
MultiQuestion.content3CCCqXTQGIW3...
OriginalWhich of the following is not categorical data?ConvertedWhich of the following is not categorical data?
Answers (4)
Answer.contentans_01GTC0K4...
OriginalTypes of chocolateConvertedTypes of chocolate
Answer.contentans_01GTC0K4...
OriginalRuns scored by a cricketerConvertedRuns scored by a cricketer
Answer.contentans_01GTC0K4...
OriginalEye colour of a group of studentsConverted[CHANGED] Eye color of a group of students
Answer.contentans_01GTC0K4...
OriginalFavourite fruitConverted[CHANGED] Favorite fruit
Question 3LDZmZPsTEJ3mb1L
How many cubic centimetres are there in $2$ cubic metres ?1/3 changed 1304ms

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Question
ShortQuestion.content3LDZmZPsTEJ3...
OriginalHow many cubic centimetres are there in $2$ cubic metres ?Converted[CHANGED] How many cubic centimeters are there in $2$ cubic meters ?
ShortQuestion.suffix3LDZmZPsTEJ3...
Originalcm$^3$Convertedcm$^3$
Answers (1)
Answer.contentans_01GTC0K6...
Original2000000Converted2000000
Question 3YXgNxA1mefDLaNo
It is observed that $20\%$ of cars entering a car park are red. What is the prob...1/2 changed 1238ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content3YXgNxA1mefD...
OriginalIt is observed that $20\%$ of cars entering a car park are red. What is the probability that the next three cars entering are all red? Assume each car's colour is independent.Converted[CHANGED] It is observed that $20\%$ of cars entering a parking lot are red. What is the probability that the next three cars entering are all red? Assume each car's color is independent.
Answers (1)
Answer.contentans_01J8P6EN...
Original0.008Converted0.008
Question 3e9f6d11-fca5-49
Why do we count categories in a frequency table?1/2 changed 1148ms

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Question
ShortQuestion.content3e9f6d11-fca...
OriginalWhy do we count categories in a frequency table?ConvertedWhy do we count categories in a frequency table?
Answers (1)
Answer.contentans_01K5B8W0...
OriginalCounting shows how often each category occurs, which helps organise the data and compare groups.Converted[CHANGED] Counting shows how often each category occurs, which helps organize the data and compare groups.
Question 3rFFqBId5tPsrgnP
There are $16$ maths books, $31$ science books and $46$ English books on a books...1/2 changed 1024ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content3rFFqBId5tPs...
OriginalThere are $16$ maths books, $31$ science books and $46$ English books on a bookshelf. What fraction of total books are science books? Express your answer in the simplest form.Converted[CHANGED] There are $16$ math books, $31$ science books and $46$ English books on a bookshelf. What fraction of total books are science books? Express your answer in the simplest form.
Answers (1)
Answer.contentans_01JB9AGX...
Original\frac{1}{3}Converted\frac{1}{3}
Question 461cd49f-77fb-4c
Why do timetables use columns to show different times and locations?2/2 changed 1021ms

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Question
ShortQuestion.content461cd49f-77f...
OriginalWhy do timetables use columns to show different times and locations?Converted[CHANGED] Why do schedules use columns to show different times and locations?
Answers (1)
Answer.contentans_5cb69374...
OriginalTimetables use columns to show different times and locations to organise information clearly.Converted[CHANGED] Schedules use columns to show different times and locations to organize information clearly.
Question 4ac4843c-5aad-45
Why is it important to organise $x$ and $y$ values in a table?1/2 changed 840ms

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Question
ShortQuestion.content4ac4843c-5aa...
OriginalWhy is it important to organise $x$ and $y$ values in a table?Converted[CHANGED] Why is it important to organize $x$ and $y$ values in a table?
Answers (1)
Answer.contentans_01K4PPJA...
OriginalA table shows how $x$ and $y$ are linked, keeps the values in order, and helps draw the graph.ConvertedA table shows how $x$ and $y$ are linked, keeps the values in order, and helps draw the graph.
Question 4KnsrJS2uEpR3q9O
Choose the correct option concerning the unit circle.4/5 changed 1292ms

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Question
MultiQuestion.content4KnsrJS2uEpR...
OriginalChoose the correct option concerning the unit circle.ConvertedChoose the correct option concerning the unit circle.
Answers (4)
Answer.contentans_01GTC0KE...
OriginalRadius $=2$ units, centre $=(0,1)$Converted[CHANGED] Radius $=2$ units, center $=(0,1)$
Answer.contentans_01GTC0KE...
OriginalRadius $=1$ unit, centre $=(0,0)$Converted[CHANGED] Radius $=1$ unit, center $=(0,0)$
Answer.contentans_01GTC0KE...
OriginalRadius $=1$ unit, centre $=(1,0)$Converted[CHANGED] Radius $=1$ unit, center $=(1,0)$
Answer.contentans_01GTC0KE...
OriginalRadius $=2$ units, centre $=(1,1)$Converted[CHANGED] Radius $=2$ units, center $=(1,1)$
Question 55a3ef19-11e0-4b
Why is it important to understand the meaning of words like 'total' or 'differen...1/2 changed 931ms

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Question
ShortQuestion.content55a3ef19-11e...
OriginalWhy is it important to understand the meaning of words like 'total' or 'difference' when writing equations?ConvertedWhy is it important to understand the meaning of words like 'total' or 'difference' when writing equations?
Answers (1)
Answer.contentans_01K4RMT3...
OriginalThese words show what the maths should do, so the equation matches the problem.Converted[CHANGED] These words show what the math should do, so the equation matches the problem.
Question 53e4ff0e-94d4-48
Why do we use $x$ and $y$ tables when working with equations?1/2 changed 1135ms

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Question
ShortQuestion.content53e4ff0e-94d...
OriginalWhy do we use $x$ and $y$ tables when working with equations?ConvertedWhy do we use $x$ and $y$ tables when working with equations?
Answers (1)
Answer.contentans_01K4PQD4...
OriginalThey help us organise values and see the link between $x$ and $y$.Converted[CHANGED] They help us organize values and see the link between $x$ and $y$.
Question 5H5rsr6SMH7AYoEK
Which of the following is the equation of a semicircle with centre at $(1,1)$ an...1/5 changed 1595ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content5H5rsr6SMH7A...
OriginalWhich of the following is the equation of a semicircle with centre at $(1,1)$ and radius $2$ units with its base on $y-$axis ?Converted[CHANGED] Which of the following is the equation of a semicircle with center at $(1,1)$ and radius $2$ units with its base on $y-$axis ?
Answers (4)
Answer.contentans_01GTC0KS...
Original$x=\pm\sqrt{4-(y-1)^{2}}-1$Converted$x=\pm\sqrt{4-(y-1)^{2}}-1$
Answer.contentans_01GTC0KS...
Original$y=\pm\sqrt{4+(x-1)^{2}}+1$Converted$y=\pm\sqrt{4+(x-1)^{2}}+1$
Answer.contentans_01GTC0KS...
Original$x=\pm\sqrt{4+(y-1)^{2}}+1$Converted$x=\pm\sqrt{4+(y-1)^{2}}+1$
Answer.contentans_01GTC0KS...
Original$y=\pm\sqrt{4+(x+1)^{2}}-1$Converted$y=\pm\sqrt{4+(x+1)^{2}}-1$
Question 5bLowuLwxs4vbeIB
How many different arrangements are possible if the colour red must always come ...1/2 changed 1062ms

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Question
ShortQuestion.content5bLowuLwxs4v...
OriginalHow many different arrangements are possible if the colour red must always come first? $\text{RED}\,$ $\text{BLUE}\,$ $\text{YELLOW}\,$ $\text{GREEN}\,$ $\text{PINK}$Converted[CHANGED] How many different arrangements are possible if the color red must always come first? $\text{RED}\,$ $\text{BLUE}\,$ $\text{YELLOW}\,$ $\text{GREEN}\,$ $\text{PINK}$
Answers (1)
Answer.contentans_01K8751E...
Original24Converted24
Question 5bd3379c-8968-4e
Why is a tally chart a good way to show and organise things?1/2 changed 995ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content5bd3379c-896...
OriginalWhy is a tally chart a good way to show and organise things?Converted[CHANGED] Why is a tally chart a good way to show and organize things?
Answers (1)
Answer.contentans_01K337W4...
OriginalA tally chart puts things in groups. This makes it easy to see which group has more or less.ConvertedA tally chart puts things in groups. This makes it easy to see which group has more or less.
Question 5UgojdL5tU1M11yk
A floor is in the shape of a rectangle. It has a length of $8.12$ metres and a w...1/3 changed 1373ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content5UgojdL5tU1M...
OriginalA floor is in the shape of a rectangle. It has a length of $8.12$ metres and a width of $7.54$ metres. Calculate the area of the floor.Converted[CHANGED] A floor is in the shape of a rectangle. It has a length of $8.12$ meters and a width of $7.54$ meters. Calculate the area of the floor.
ShortQuestion.suffix5UgojdL5tU1M...
Originalm$^2$Convertedm$^2$
Answers (1)
Answer.contentans_01J6S4Y1...
Original61.22Converted61.22
Question 63e01ce8-0a76-40
Why is it important to understand parallelograms in maths or in real-life design...1/2 changed 1199ms

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Question
ShortQuestion.content63e01ce8-0a7...
OriginalWhy is it important to understand parallelograms in maths or in real-life designs?Converted[CHANGED] Why is it important to understand parallelograms in math or in real-life designs?
Answers (1)
Answer.contentans_01K4BRNP...
OriginalKnowing about parallelograms helps us find missing sides and angles. It also helps in real-life work, like tiling floors or making patterns.ConvertedKnowing about parallelograms helps us find missing sides and angles. It also helps in real-life work, like tiling floors or making patterns.
Question 64b41fed-e154-41
Why do stem-and-leaf plots organise data using stems and leaves?1/2 changed 987ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content64b41fed-e15...
OriginalWhy do stem-and-leaf plots organise data using stems and leaves?Converted[CHANGED] Why do stem-and-leaf plots organize data using stems and leaves?
Answers (1)
Answer.contentans_01K4KVWQ...
OriginalThey use stems and leaves so each number is split into two parts. For example, the stem shows the tens, and the leaf shows the ones.ConvertedThey use stems and leaves so each number is split into two parts. For example, the stem shows the tens, and the leaf shows the ones.
Question 653a117f-87d8-42
Why is it important to choose the right unit when measuring volume of large cont...1/2 changed 1120ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content653a117f-87d...
OriginalWhy is it important to choose the right unit when measuring volume of large containers?ConvertedWhy is it important to choose the right unit when measuring volume of large containers?
Answers (1)
Answer.contentans_01K339V1...
OriginalChoosing the right unit makes the measurement easier to read and understand. For large containers, using litres instead of mL avoids very big numbers.Converted[CHANGED] Choosing the right unit makes the measurement easier to read and understand. For large containers, using liters instead of mL avoids very big numbers.
Question 755c45e6-6cf4-43
What makes tree diagrams useful for multi-step probability problems?1/3 changed 1107ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content755c45e6-6cf...
OriginalWhat makes tree diagrams useful for multi-step probability problems?ConvertedWhat makes tree diagrams useful for multi-step probability problems?
ShortQuestion.hint755c45e6-6cf...
OriginalEach branch represents a possible path for events.ConvertedEach branch represents a possible path for events.
Answers (1)
Answer.contentans_cd8e756a...
OriginalTree diagrams are useful for multi-step probability problems because they organise possible outcomes clearly.Converted[CHANGED] Tree diagrams are useful for multi-step probability problems because they organize possible outcomes clearly.
Question 693fc6a1-10f1-4f
Why do grams change to kilograms the same way millilitres change to litres?2/2 changed 1382ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content693fc6a1-10f...
OriginalWhy do grams change to kilograms the same way millilitres change to litres?Converted[CHANGED] Why do grams change to kilograms the same way milliliters change to liters?
Answers (1)
Answer.contentans_01K2ZZEC...
OriginalMetric units follow the same pattern, so we divide or multiply by $10$, $100$, or $1000$ depending on the step, just like with litres and millilitres.Converted[CHANGED] Metric units follow the same pattern, so we divide or multiply by $10$, $100$, or $1000$ depending on the step, just like with liters and milliliters.
Question 758129f6-9fab-45
Why does changing the centre angle affect both the sector and triangle areas dif...1/2 changed 1015ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content758129f6-9fa...
OriginalWhy does changing the centre angle affect both the sector and triangle areas differently?Converted[CHANGED] Why does changing the center angle affect both the sector and triangle areas differently?
Answers (1)
Answer.contentans_bdb74865...
OriginalChanging the central angle affects both the sector and triangle areas differently because the angle directly changes the arc length and height.ConvertedChanging the central angle affects both the sector and triangle areas differently because the angle directly changes the arc length and height.
Question 788a315a-0df4-4c
Why is it important to understand place value?1/2 changed 958ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content788a315a-0df...
OriginalWhy is it important to understand place value?ConvertedWhy is it important to understand place value?
Answers (1)
Answer.contentans_01K2E39C...
OriginalPlace value helps to know if a number means $5$, $50$, or $500$. This makes it easier to solve maths problems.Converted[CHANGED] Place value helps to know if a number means $5$, $50$, or $500$. This makes it easier to solve math problems.
Question 78ac2ae8-ad30-41
How can mastering transformations simplify solving problems in contexts like sig...2/3 changed 1419ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content78ac2ae8-ad3...
OriginalHow can mastering transformations simplify solving problems in contexts like signal processing or wave modelling?Converted[CHANGED] How can mastering transformations simplify solving problems in contexts like signal processing or wave modeling?
ShortQuestion.hint78ac2ae8-ad3...
OriginalConsider how transformations adjust the graph to fit real-world data.ConvertedConsider how transformations adjust the graph to fit real-world data.
Answers (1)
Answer.contentans_1478d07c...
OriginalMastering transformations simplifies solving problems in contexts like signal processing or wave modelling by providing a framework for understanding periodic behaviour.Converted[CHANGED] Mastering transformations simplifies solving problems in contexts like signal processing or wave modeling by providing a framework for understanding periodic behavior.
Question 7be5eed5-f527-43
Why does a frequency table help organise data into categories?3/3 changed 1131ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content7be5eed5-f52...
OriginalWhy does a frequency table help organise data into categories?Converted[CHANGED] Why does a frequency table help organize data into categories?
ShortQuestion.hint7be5eed5-f52...
OriginalThink about how categories make data easier to analyse.Converted[CHANGED] Think about how categories make data easier to analyze.
Answers (1)
Answer.contentans_35b66812...
OriginalA frequency table helps organise data into categories by grouping values and tallying their occurrences.Converted[CHANGED] A frequency table helps organize data into categories by grouping values and tallying their occurrences.
Question 84115df6-2c4b-49
How do two-way tables help us understand relationships between categories of eve...1/2 changed 751ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content84115df6-2c4...
OriginalHow do two-way tables help us understand relationships between categories of events?ConvertedHow do two-way tables help us understand relationships between categories of events?
Answers (1)
Answer.contentans_01K563HB...
OriginalThey organise outcomes into two categories at once, making it easier to compare groups and see patterns in the data.Converted[CHANGED] They organize outcomes into two categories at once, making it easier to compare groups and see patterns in the data.
Question 7d7a1ff4-97f5-40
How do centimetres and metres help us measure small and big things?2/2 changed 970ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content7d7a1ff4-97f...
OriginalHow do centimetres and metres help us measure small and big things?Converted[CHANGED] How do centimeters and meters help us measure small and big things?
Answers (1)
Answer.contentans_01K2Y5BP...
OriginalCentimetres show small steps for little things, and metres show bigger steps for large things.Converted[CHANGED] Centimeters show small steps for little things, and meters show bigger steps for large things.
Question 7QPwarGIaWzJPMON
The coordinates of point $A$ and point $B$ are $(10^\circ S,30^\circ E)$ and $(1...1/4 changed 1617ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content7QPwarGIaWzJ...
OriginalThe coordinates of point $A$ and point $B$ are $(10^\circ S,30^\circ E)$ and $(10^\circ S, 50^\circ E)$ respectively. Find the distance along the parallel of latitude $10^\circ S$ between the points $A$ and $B$. Write your answer to the nearest kilometre.Converted[CHANGED] The coordinates of point $A$ and point $B$ are $(10^\circ S,30^\circ E)$ and $(10^\circ S, 50^\circ E)$ respectively. Find the distance along the parallel of latitude $10^\circ S$ between the points $A$ and $B$. Write your answer to the nearest kilometer.
ShortQuestion.hint7QPwarGIaWzJ...
OriginalTake the Earth's radius to be $6371$ kmConvertedTake the Earth's radius to be $6371$ km
ShortQuestion.suffix7QPwarGIaWzJ...
OriginalkmConvertedkm
Answers (1)
Answer.contentans_01J9DM0P...
Original2190Converted2190
Question 8c3ce254-a286-43
Why is the radius one unit for a unit circle?1/2 changed 960ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content8c3ce254-a28...
OriginalWhy is the radius one unit for a unit circle?ConvertedWhy is the radius one unit for a unit circle?
Answers (1)
Answer.contentans_01K58NHD...
OriginalThe unit circle is defined that way, so every point on it is $1$ unit from the centre.Converted[CHANGED] The unit circle is defined that way, so every point on it is $1$ unit from the center.
Question 8cd31557-f7b0-4b
How can the period of a periodic function help identify its behaviour?2/3 changed 1021ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content8cd31557-f7b...
OriginalHow can the period of a periodic function help identify its behaviour?Converted[CHANGED] How can the period of a periodic function help identify its behavior?
ShortQuestion.hint8cd31557-f7b...
OriginalFocus on how the period sets the function's rhythm.ConvertedFocus on how the period sets the function's rhythm.
Answers (1)
Answer.contentans_1ae225b1...
OriginalThe period of a periodic function helps identify its behaviour by showing the interval at which the function completes one full cycle.Converted[CHANGED] The period of a periodic function helps identify its behavior by showing the interval at which the function completes one full cycle.
Question 914d0e88-e475-41
How does understanding variation relate to interpreting experimental results?1/3 changed 1133ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content914d0e88-e47...
OriginalHow does understanding variation relate to interpreting experimental results?ConvertedHow does understanding variation relate to interpreting experimental results?
ShortQuestion.hint914d0e88-e47...
OriginalFocus on the range or standard deviation of the data.ConvertedFocus on the range or standard deviation of the data.
Answers (1)
Answer.contentans_6fa339a5...
OriginalVariation shows how data points differ, helping us analyse consistency or identify patterns in results.Converted[CHANGED] Variation shows how data points differ, helping us analyze consistency or identify patterns in results.
Question 96275832-418a-4a
Why must we analyse real situations to identify mutually exclusive events?2/2 changed 890ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content96275832-418...
OriginalWhy must we analyse real situations to identify mutually exclusive events?Converted[CHANGED] Why must we analyze real situations to identify mutually exclusive events?
Answers (1)
Answer.contentans_01K561TA...
OriginalAnalysing real situations shows whether two events can or cannot happen together, helping us decide if they are mutually exclusive.Converted[CHANGED] Analyzing real situations shows whether two events can or cannot happen together, helping us decide if they are mutually exclusive.
Question 96cef9d9-b33a-46
Why do we group items in sets?1/2 changed 883ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content96cef9d9-b33...
OriginalWhy do we group items in sets?ConvertedWhy do we group items in sets?
Answers (1)
Answer.contentans_01K569XR...
OriginalWe group items in sets to organise them, compare them, and see patterns more easily.Converted[CHANGED] We group items in sets to organize them, compare them, and see patterns more easily.
Question 93d2b9ba-81da-42
Why does the graph of the cosine function oscillate between $-1$ and $1$?2/3 changed 2000ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content93d2b9ba-81d...
OriginalWhy does the graph of the cosine function oscillate between $-1$ and $1$?ConvertedWhy does the graph of the cosine function oscillate between $-1$ and $1$?
ShortQuestion.hint93d2b9ba-81d...
OriginalVisualise how the line crosses the parabola twice, creating two intersection points.Converted[CHANGED] Visualize how the line crosses the parabola twice, creating two intersection points.
Answers (1)
Answer.contentans_e74bf4dd...
OriginalCosine is defined as the $x$-coordinate on the unit circle (radius $1$, centre at origin). The $x$-values on this circle only go from $-1$ to $1$.Converted[CHANGED] Cosine is defined as the $x$-coordinate on the unit circle (radius $1$, center at origin). The $x$-values on this circle only go from $-1$ to $1$.
Question 99b2a379-7ef6-41
Why do we need to recognise conditional language in probability?2/2 changed 1010ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content99b2a379-7ef...
OriginalWhy do we need to recognise conditional language in probability?Converted[CHANGED] Why do we need to recognize conditional language in probability?
Answers (1)
Answer.contentans_4c09fdc8...
OriginalRecognising conditional language in probability is essential to apply the correct formulas and methods.Converted[CHANGED] Recognizing conditional language in probability is essential to apply the correct formulas and methods.
Question 8W0hkt21yJzDIhBJ
A tank is $\Large\frac{2}{3}$ full of water. After $12$ litres of water are rem...1/5 changed 2395ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.content8W0hkt21yJzD...
OriginalA tank is $\Large\frac{2}{3}$ full of water. After $12$ litres of water are removed, the tank is now $\Large\frac{1}{2}$ full. Which equation represents the total capacity of the tank in litres, where $C$ is the total capacity?Converted[CHANGED] A tank is $\Large\frac{2}{3}$ full of water. After $12$ liters of water are removed, the tank is now $\Large\frac{1}{2}$ full. Which equation represents the total capacity of the tank in liters, where $C$ is the total capacity?
Answers (4)
Answer.contentans_01K9XC6T...
Original ${\Large\frac{2}{3}}C = -12 + ${\Large\frac{1}{2}}CConverted ${\Large\frac{2}{3}}C = -12 + ${\Large\frac{1}{2}}C
Answer.contentans_01J6V4AG...
Original ${\Large\frac{1}{2}}C - 12 =${\Large \frac{2}{3}}CConverted ${\Large\frac{1}{2}}C - 12 =${\Large \frac{2}{3}}C
Answer.contentans_01J6V4AG...
Original ${\Large\frac{2}{3}}C - 12 = ${\Large\frac{1}{2}}CConverted ${\Large\frac{2}{3}}C - 12 = ${\Large\frac{1}{2}}C
Answer.contentans_01J6V4AF...
Original$C - 12 = ${\Large\frac{1}{2}}C$Converted$C - 12 = ${\Large\frac{1}{2}}C$
Question 9MgJQNlf3RIrqvav
How many cubic metres are there in $7$ kL?1/3 changed 1230ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.content9MgJQNlf3RIr...
OriginalHow many cubic metres are there in $7$ kL?Converted[CHANGED] How many cubic meters are there in $7$ kL?
ShortQuestion.suffix9MgJQNlf3RIr...
Originalm$^3$Convertedm$^3$
Answers (1)
Answer.contentans_01J444EN...
Original7Converted7
Question B7Suq0836yVwuGcD
If you draw lines from the vertices of a regular polygon to its centre, a number...1/3 changed 1166ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentB7Suq0836yVw...
OriginalIf you draw lines from the vertices of a regular polygon to its centre, a number of angles are formed. What is the sum of these angles?Converted[CHANGED] If you draw lines from the vertices of a regular polygon to its center, a number of angles are formed. What is the sum of these angles?
ShortQuestion.suffixB7Suq0836yVw...
Original$^\circ$Converted$^\circ$
Answers (1)
Answer.contentans_01GTC0N4...
Original360Converted360
Question BeQ5BOiieyUCSH48
In a shopping centre, $25$ people are randomly selected to rate a product. Which...2/5 changed 1217ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.contentBeQ5BOiieyUC...
OriginalIn a shopping centre, $25$ people are randomly selected to rate a product. Which group is the sample?Converted[CHANGED] In a shopping center, $25$ people are randomly selected to rate a product. Which group is the sample?
Answers (4)
Answer.contentans_01J5E4EH...
OriginalA different group of 25 peopleConvertedA different group of 25 people
Answer.contentans_01J5E4EG...
OriginalThose not selectedConvertedThose not selected
Answer.contentans_01J5E4EG...
OriginalThe $25$ selected peopleConvertedThe $25$ selected people
Answer.contentans_01J5E4EF...
OriginalAll people in the shopping centreConverted[CHANGED] All people in the shopping center
Question E1H4taxXVsPBJAja
Fill in the blank: A regular polygon with $n$ sides can be divided into $[?]$ tr...1/5 changed 1064ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.contentE1H4taxXVsPB...
OriginalFill in the blank: A regular polygon with $n$ sides can be divided into $[?]$ triangles by joining each vertex to the centre.Converted[CHANGED] Fill in the blank: A regular polygon with $n$ sides can be divided into $[?]$ triangles by joining each vertex to the center.
Answers (4)
Answer.contentans_01GTC0NS...
Original$2n-1$Converted$2n-1$
Answer.contentans_01GTC0NS...
Original$n-1$Converted$n-1$
Answer.contentans_01GTC0NR...
Original$n$Converted$n$
Answer.contentans_01GTC0NR...
Original$n+1$Converted$n+1$
Question B983V4IujtnH6P4S
The coordinates of point $X$ and point $Y$ are $(55^\circ S,78^\circ E)$ and $(5...1/4 changed 1966ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentB983V4IujtnH...
OriginalThe coordinates of point $X$ and point $Y$ are $(55^\circ S,78^\circ E)$ and $(55^\circ S, 33^\circ E)$ respectively. Find the distance along the parallel of latitudes $55^\circ N$ between the points $X$ and $Y$. Write your answer to the nearest kilometre.Converted[CHANGED] The coordinates of point $X$ and point $Y$ are $(55^\circ S,78^\circ E)$ and $(55^\circ S, 33^\circ E)$ respectively. Find the distance along the parallel of latitudes $55^\circ N$ between the points $X$ and $Y$. Write your answer to the nearest kilometer.
ShortQuestion.hintB983V4IujtnH...
OriginalTake the Earth's radius to be $6371$ kmConvertedTake the Earth's radius to be $6371$ km
ShortQuestion.suffixB983V4IujtnH...
OriginalkmConvertedkm
Answers (1)
Answer.contentans_01J9DM2V...
Original2870Converted2870
Question ERjPpDv3M0Dtb1Xb
Fill in the blank: $2.5$ litres $+\ 0.221$ cm$^{3}+\ 50$ cm$^3\ = [?]$ litres1/2 changed 1495ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentERjPpDv3M0Dt...
OriginalFill in the blank: $2.5$ litres $+\ 0.221$ cm$^{3}+\ 50$ cm$^3\ = [?]$ litresConverted[CHANGED] Fill in the blank: $2.5$ liters $+\ 0.221$ cm$^{3}+\ 50$ cm$^3\ = [?]$ liters
Answers (1)
Answer.contentans_01J7W3T1...
Original2.55Converted2.55
Skill GKtyh0DPoliyDpQv1/1 changed 593ms

text_au_to_us / gpt-oss-120b

Skill.titleGKtyh0DPoliy...
OriginalUnderstanding that the equation of a semicircle with radius r and centre $(a,b)$ is: $y=±\sqrt{r^2−(x−a)^2 }+b$Converted[CHANGED] Understanding that the equation of a semicircle with radius r and center $(a,b)$ is: $y=±\sqrt{r^2−(x−a)^2 }+b$
Question ExKkXRuCdF6xfNQY
Which of the following is the general equation of a semicircle with a centre at ...1/5 changed 1455ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.contentExKkXRuCdF6x...
OriginalWhich of the following is the general equation of a semicircle with a centre at the origin and radius $r$ units?Converted[CHANGED] Which of the following is the general equation of a semicircle with a center at the origin and radius $r$ units?
Answers (4)
Answer.contentans_01GTC0NY...
Original$y=\pm{r^{2}-x^{2}}$Converted$y=\pm{r^{2}-x^{2}}$
Answer.contentans_01GTC0NY...
Original$y=\pm\sqrt{r^{2}-x^{2}}$Converted$y=\pm\sqrt{r^{2}-x^{2}}$
Answer.contentans_01GTC0NY...
Original$y=\pm\sqrt{r^{2}+x^{2}}$Converted$y=\pm\sqrt{r^{2}+x^{2}}$
Answer.contentans_01GTC0NY...
Original$y=\pm{r^{2}+x^{2}}$Converted$y=\pm{r^{2}+x^{2}}$
Question FODlnqi4ytiRauGn
Convert $0.45$ m$^3$ into litres.1/3 changed 1278ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentFODlnqi4ytiR...
OriginalConvert $0.45$ m$^3$ into litres.Converted[CHANGED] Convert $0.45$ m$^3$ into liters.
ShortQuestion.suffixFODlnqi4ytiR...
OriginalLConvertedL
Answers (1)
Answer.contentans_01GTC0P0...
Original450Converted450
Question HhUtcVwEdCaQBDJ0
Which of the following measures the centre of the curve of a normal distribution...1/5 changed 1196ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.contentHhUtcVwEdCaQ...
OriginalWhich of the following measures the centre of the curve of a normal distribution function?Converted[CHANGED] Which of the following measures the center of the curve of a normal distribution function?
Answers (4)
Answer.contentans_01GTC0PG...
Original$\sigma^2$Converted$\sigma^2$
Answer.contentans_01GTC0PG...
Original$\sqrt{x-\mu}$Converted$\sqrt{x-\mu}$
Answer.contentans_01GTC0PG...
Original$\mu$Converted$\mu$
Answer.contentans_01GTC0PF...
Original$\large{\frac{\sigma-\mu}{x}}$Converted$\large{\frac{\sigma-\mu}{x}}$
Question H5cpw76dXFVFNy0x
Which of the following statements defines a chord?2/5 changed 1470ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.contentH5cpw76dXFVF...
OriginalWhich of the following statements defines a chord?ConvertedWhich of the following statements defines a chord?
Answers (4)
Answer.contentans_01J8JBPQ...
OriginalA line that outlines the circumferenceConvertedA line that outlines the circumference
Answer.contentans_01J8JBPP...
OriginalA line joining any two points on the circleConvertedA line joining any two points on the circle
Answer.contentans_01J8JBPJ...
OriginalA line drawn from the centre of the circle to the circumferenceConverted[CHANGED] A line drawn from the center of the circle to the circumference
Answer.contentans_01J8JBPG...
OriginalA line joining an external point and the centre of the circleConverted[CHANGED] A line joining an external point and the center of the circle
Question I6KzZJnvBDHcVTn1
Fill in the blank: A team of talented maths students being selected to represent...1/5 changed 1411ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.contentI6KzZJnvBDHc...
OriginalFill in the blank: A team of talented maths students being selected to represent a school in an interschool maths competition is an example of $[?]$.Converted[CHANGED] Fill in the blank: A team of talented math students being selected to represent a school in an interschool math competition is an example of $[?]$.
Answers (4)
Answer.contentans_01K5MVDN...
OriginalSystematic samplingConvertedSystematic sampling
Answer.contentans_01K5MVDN...
OriginalRandom samplingConvertedRandom sampling
Answer.contentans_01K5MVDN...
OriginalConvenience samplingConvertedConvenience sampling
Answer.contentans_01K5MVDN...
OriginalJudgmental samplingConvertedJudgmental sampling
Question HPfvfeGcGqBcsDO0
After $500$ rotations, a wheel has travelled $1.06$ km. Find the diameter of th...1/3 changed 1897ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentHPfvfeGcGqBc...
OriginalAfter $500$ rotations, a wheel has travelled $1.06$ km. Find the diameter of the wheel in metres.Converted[CHANGED] After $500$ rotations, a wheel has traveled $1.06$ km. Find the diameter of the wheel in meters.
ShortQuestion.suffixHPfvfeGcGqBc...
OriginalmConvertedm
Answers (1)
Answer.contentans_01HY0DR2...
Original0.67Converted0.67
Question JXWkwagEMuXmmQlS
How many cubic millimetres are there in $10$ cubic centimetres ?2/3 changed 1193ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentJXWkwagEMuXm...
OriginalHow many cubic millimetres are there in $10$ cubic centimetres ?Converted[CHANGED] How many cubic millimeters are there in $10$ cubic centimeters ?
ShortQuestion.suffixJXWkwagEMuXm...
Originalcubic millimetresConverted[CHANGED] cubic millimeters
Answers (1)
Answer.contentans_01GTC0PT...
Original10000Converted10000
Skill NSAdmwWAR5KMwoJG1/1 changed 283ms

text_au_to_us / gpt-oss-120b

Skill.titleNSAdmwWAR5KM...
OriginalUnderstanding the general behaviour of even and odd power functionsConverted[CHANGED] Understanding the general behavior of even and odd power functions
Question JdxsISI29t6FGqtO
How many arrangements are possible when you arrange red, green, blue, white and ...1/2 changed 880ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentJdxsISI29t6F...
OriginalHow many arrangements are possible when you arrange red, green, blue, white and yellow flags such that the white flag is always the first colour of the row?Converted[CHANGED] How many arrangements are possible when you arrange red, green, blue, white and yellow flags such that the white flag is always the first color of the row?
Answers (1)
Answer.contentans_01GTC0PV...
Original24Converted24
Question MewhS6WEJeXsR6pR
Which of these is true for the curve of a normal distribution?1/5 changed 1296ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.contentMewhS6WEJeXs...
OriginalWhich of these is true for the curve of a normal distribution?ConvertedWhich of these is true for the curve of a normal distribution?
Answers (4)
Answer.contentans_01GTC0QD...
OriginalThe curve terminates on both sides equallyConvertedThe curve terminates on both sides equally
Answer.contentans_01GTC0QD...
OriginalThe mean lies on the extreme ends of the curveConvertedThe mean lies on the extreme ends of the curve
Answer.contentans_01GTC0QD...
OriginalThe standard deviation lies at the centre of the curveConverted[CHANGED] The standard deviation lies at the center of the curve
Answer.contentans_01GTC0QD...
OriginalThe mean divides the curve symmetricallyConvertedThe mean divides the curve symmetrically
Question NSfjOzHB17CtNFZt
A random survey of $650$ people was conducted, and their responses recorded, wit...1/2 changed 1228ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentNSfjOzHB17Ct...
OriginalA random survey of $650$ people was conducted, and their responses recorded, with $164$ people agreeing that maths was their favourite subject at school. Find the margin of error of a $98\%$ confidence interval constructed from this data.Converted[CHANGED] A random survey of $650$ people was conducted, and their responses recorded, with $164$ people agreeing that math was their favorite subject at school. Find the margin of error of a $98\%$ confidence interval constructed from this data.
Answers (1)
Answer.contentans_01GTC0QJ...
Original0.0396Converted0.0396
Question NzgHdEqROtr9gcjy
The volume of water $(V)$ in a container increases by a factor of $2$ every hour...1/5 changed 1722ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.contentNzgHdEqROtr9...
OriginalThe volume of water $(V)$ in a container increases by a factor of $2$ every hour $(t)$. If the container initially has $10$ litres of water, what is the volume after $t$ hours?Converted[CHANGED] The volume of water $(V)$ in a container increases by a factor of $2$ every hour $(t)$. If the container initially has $10$ liters of water, what is the volume after $t$ hours?
Answers (4)
Answer.contentans_01GTC0QP...
Original$V=10+2^t$Converted$V=10+2^t$
Answer.contentans_01GTC0QP...
Original$V=10^{2t}$Converted$V=10^{2t}$
Answer.contentans_01GTC0QP...
Original$V=10\times{2^t}$Converted$V=10\times{2^t}$
Answer.contentans_01GTC0QP...
Original$V=10^{t}+2$Converted$V=10^{t}+2$
Question Vf6GoHUGaWsCZhNT
Calculate the volume (in litres) of a cylindrical tank with a height of $5$ m an...3/4 changed 1659ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentVf6GoHUGaWsC...
OriginalCalculate the volume (in litres) of a cylindrical tank with a height of $5$ m and a base area of $4$ m$^2$.Converted[CHANGED] Calculate the volume (in liters) of a cylindrical tank with a height of $5$ m and a base area of $4$ m$^2$.
ShortQuestion.hintVf6GoHUGaWsC...
Original1 m$^3$= 1000 litresConverted[CHANGED] 1 m$^3$= 1000 liters
ShortQuestion.suffixVf6GoHUGaWsC...
OriginallitresConverted[CHANGED] liters
Answers (1)
Answer.contentans_01J5KYSF...
Original20000Converted20000
Question da50999f-9b87-49
How can subgraphs help analyse specific components of a larger graph?2/2 changed 867ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentda50999f-9b8...
OriginalHow can subgraphs help analyse specific components of a larger graph?Converted[CHANGED] How can subgraphs help analyze specific components of a larger graph?
Answers (1)
Answer.contentans_fd21d747...
OriginalSubgraphs help analyse specific components of a larger graph by focusing on individual sections or relationships.Converted[CHANGED] Subgraphs help analyze specific components of a larger graph by focusing on individual sections or relationships.
Question YBRJQietR8EWif7U
A factory has $30$ metres of fabric and $420$ minutes to make pairs of jeans and...1/2 changed 1761ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentYBRJQietR8EW...
OriginalA factory has $30$ metres of fabric and $420$ minutes to make pairs of jeans and trousers. Each pair of jeans requires $2.5$ metres of fabric, $30$ minutes of labour, and brings a profit of $\$2$. Each pair of trousers requires $2.8$ metres of fabric, $45$ minutes of labour, and brings a profit of $\$3$. How many pairs of jeans should the factory produce to maximise the total profit?Converted[CHANGED] A factory has $30$ meters of fabric and $420$ minutes to make pairs of jeans and pants. Each pair of jeans requires $2.5$ meters of fabric, $30$ minutes of labor, and brings a profit of $\$2$. Each pair of pants requires $2.8$ meters of fabric, $45$ minutes of labor, and brings a profit of $\$3$. How many pairs of jeans should the factory produce to maximize the total profit?
Answers (1)
Answer.contentans_01JA4F4D...
Original6Converted6
Question b03d1a0c-3991-42
Why do points further from the centre of rotation travel further than points clo...2/2 changed 1288ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentb03d1a0c-399...
OriginalWhy do points further from the centre of rotation travel further than points closer to centre?Converted[CHANGED] Why do points further from the center of rotation travel further than points closer to center?
Answers (1)
Answer.contentans_01K4VRGF...
OriginalPoints further out are on bigger circles, so they move along longer paths than points closer to the centre.Converted[CHANGED] Points further out are on bigger circles, so they move along longer paths than points closer to the center.
Skill rLKXoZkXUeAESVdT1/1 changed 515ms

text_au_to_us / gpt-oss-120b

Skill.titlerLKXoZkXUeAE...
OriginalDetermining the radius and centre of a circle from its equationConverted[CHANGED] Determining the radius and center of a circle from its equation
Question mqn_01JDHGZANAP3
The thickness of a piece of paper is approximately $1$ mm. If a book contains $...4/5 changed 1510ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.contentmqn_01JDHGZA...
OriginalThe thickness of a piece of paper is approximately $1$ mm. If a book contains $500$ pages, what is the most appropriate unit to express the combined thickness of all the pages?ConvertedThe thickness of a piece of paper is approximately $1$ mm. If a book contains $500$ pages, what is the most appropriate unit to express the combined thickness of all the pages?
Answers (4)
Answer.contentans_01JDHGZB...
OriginalMetresConverted[CHANGED] Meters
Answer.contentans_01JDHGZB...
OriginalCentimetresConverted[CHANGED] Centimeters
Answer.contentans_01JDHGZB...
OriginalMicrometresConverted[CHANGED] Micrometers
Answer.contentans_01JDHGZB...
OriginalMIllimetresConverted[CHANGED] Millimeters
Question mqn_01JVSJ4SQHD0
There are $100$ centimetres in a metre. Convert $3.25$ metres to metres and cent...5/5 changed 1624ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.contentmqn_01JVSJ4S...
OriginalThere are $100$ centimetres in a metre. Convert $3.25$ metres to metres and centimetres.Converted[CHANGED] There are $100$ centimeters in a meter. Convert $3.25$ meters to meters and centimeters.
Answers (4)
Answer.contentans_01JVSJD5...
Original$4$ metres and $50$ centimetresConverted[CHANGED] $4$ meters and $50$ centimeters
Answer.contentans_01JVSJ4T...
Original$5$ metres and $5$ centimetresConverted[CHANGED] $5$ meters and $5$ centimeters
Answer.contentans_01JVSJ4T...
Original$3$ metres and $25$ centimetresConverted[CHANGED] $3$ meters and $25$ centimeters
Answer.contentans_01JVSJ4T...
Original$3$ metres and $50$ centimetresConverted[CHANGED] $3$ meters and $50$ centimeters
Question nAxbRBDmTHrK2VaT
As Maira practised more maths problems, her test scores improved. What is the r...3/5 changed 1319ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.contentnAxbRBDmTHrK...
OriginalAs Maira practised more maths problems, her test scores improved. What is the response variable in this situation?Converted[CHANGED] As Maira practiced more math problems, her test scores improved. What is the response variable in this situation?
Answers (4)
Answer.contentans_01JMB6P8...
OriginalMaths subjectsConverted[CHANGED] Math subjects
Answer.contentans_01JMB6P8...
OriginalTime spent practisingConverted[CHANGED] Time spent practicing
Answer.contentans_01JMB6P8...
OriginalTest scoresConvertedTest scores
Answer.contentans_01J81GGD...
OriginalNumber of questions in the testConvertedNumber of questions in the test
Question s3kYuBFnWAXeUELX
Which of the following is a unit of length in the imperial system?3/5 changed 1317ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.contents3kYuBFnWAXe...
OriginalWhich of the following is a unit of length in the imperial system?ConvertedWhich of the following is a unit of length in the imperial system?
Answers (4)
Answer.contentans_01GTC0XD...
OriginalKilometresConverted[CHANGED] Kilometers
Answer.contentans_01GTC0XD...
OriginalMillimetresConverted[CHANGED] Millimeters
Answer.contentans_01GTC0XD...
OriginalMilesConvertedMiles
Answer.contentans_01GTC0XD...
OriginalMetresConverted[CHANGED] Meters
Question sSHyeh9pwKhQAFAD
Kelly scored an $87\%$ in History with a class average of $85\%$ and a standard ...2/3 changed 1436ms

text_au_to_us / gpt-oss-120b

Question
MultiQuestion.contentsSHyeh9pwKhQ...
OriginalKelly scored an $87\%$ in History with a class average of $85\%$ and a standard deviation of $8\%$. In Maths, she scored a $75\%$ with a class average of $72\%$ and a standard deviation of $6\%$. Using $z$-scores, in which class did she perform better in comparison to the other students?Converted[CHANGED] Kelly scored an $87\%$ in History with a class average of $85\%$ and a standard deviation of $8\%$. In Math, she scored a $75\%$ with a class average of $72\%$ and a standard deviation of $6\%$. Using $z$-scores, in which class did she perform better in comparison to the other students?
Answers (2)
Answer.contentans_01GTC0XF...
OriginalMathsConverted[CHANGED] Math
Answer.contentans_01GTC0XF...
OriginalHistoryConvertedHistory
Question sqn_01J6CS68BTB1
A rectangular garden has a length of $4\sqrt{3}$ metres. The area of the garden...2/3 changed 1312ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01J6CS68...
OriginalA rectangular garden has a length of $4\sqrt{3}$ metres. The area of the garden is $24\sqrt{3}$ square metres. Find the width of the garden in simplest form.Converted[CHANGED] A rectangular garden has a length of $4\sqrt{3}$ meters. The area of the garden is $24\sqrt{3}$ square meters. Find the width of the garden in simplest form.
ShortQuestion.suffixsqn_01J6CS68...
OriginalmetresConverted[CHANGED] meters
Answers (1)
Answer.contentans_01J6TRJM...
Original6Converted6
Question sqn_01J6CHB06757
A rectangular field has a length of $2\sqrt{50}$ metres and a width of $\sqrt{20...2/3 changed 1660ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01J6CHB0...
OriginalA rectangular field has a length of $2\sqrt{50}$ metres and a width of $\sqrt{200}$ metres. Find the area of the field in simplest form.Converted[CHANGED] A rectangular field has a length of $2\sqrt{50}$ meters and a width of $\sqrt{200}$ meters. Find the area of the field in simplest form.
ShortQuestion.suffixsqn_01J6CHB0...
Originalsquare metresConverted[CHANGED] square meters
Answers (1)
Answer.contentans_01J6TR4P...
Original200Converted200
Question sqn_01J6P377WCM2
If a drone flew $1.5$ kilometres in $5$ minutes, what was its average speed in m...1/3 changed 2480ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01J6P377...
OriginalIf a drone flew $1.5$ kilometres in $5$ minutes, what was its average speed in metres per second?Converted[CHANGED] If a drone flew $1.5$ kilometers in $5$ minutes, what was its average speed in meters per second?
ShortQuestion.suffixsqn_01J6P377...
Originalm/sConvertedm/s
Answers (1)
Answer.contentans_01J6P378...
Original5Converted5
Question sqn_01J6P2KX98WH
Kakashi covered $4$ kilometres in $7$ minutes while conducting a mission. What ...1/3 changed 3120ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01J6P2KX...
OriginalKakashi covered $4$ kilometres in $7$ minutes while conducting a mission. What was his average speed in metres per second?Converted[CHANGED] Kakashi covered $4$ kilometres (about 2.5 miles) in $7$ minutes while conducting a mission. What was his average speed in meters per second?
ShortQuestion.suffixsqn_01J6P2KX...
Originalm/sConvertedm/s
Answers (1)
Answer.contentans_01J6P41R...
Original9.52Converted9.52
Question sqn_01JCN2H2H0ER
A tank is filled with $ 6 \dfrac{17}{20}$ litres of water. Express this amount ...2/3 changed 2049ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01JCN2H2...
OriginalA tank is filled with $ 6 \dfrac{17}{20}$ litres of water. Express this amount as an improper fraction.Converted[CHANGED] A tank is filled with $ 6 \dfrac{17}{20}$ liters of water. Express this amount as an improper fraction.
ShortQuestion.suffixsqn_01JCN2H2...
OriginallitresConverted[CHANGED] liters
Answers (1)
Answer.contentans_01JCN2H3...
Original\frac{137}{20}Converted\frac{137}{20}
Question sqn_01JBG9NBN1D2
A $250$-litre tank loses $47.85$ litres on Day $1$ and $65.5$ litres on Day $2$....2/3 changed 3061ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01JBG9NB...
OriginalA $250$-litre tank loses $47.85$ litres on Day $1$ and $65.5$ litres on Day $2$. How much water is left?Converted[CHANGED] A $250$-liter tank loses $47.85$ liters on Day $1$ and $65.5$ liters on Day $2$. How much water is left?
ShortQuestion.suffixsqn_01JBG9NB...
OriginallitresConverted[CHANGED] liters
Answers (1)
Answer.contentans_01JBG9NC...
Original136.65Converted136.65
Question sqn_01K0X9W9G7FW
Express $0.006$ cubic metres in cubic centimetres.1/3 changed 1239ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01K0X9W9...
OriginalExpress $0.006$ cubic metres in cubic centimetres.Converted[CHANGED] Express $0.006$ cubic meters in cubic centimeters.
ShortQuestion.suffixsqn_01K0X9W9...
Originalcm$^3$Convertedcm$^3$
Answers (1)
Answer.contentans_01K0X9W9...
Original6000Converted6000
Question sqn_01K4XXVQE54A
If two chords are equal in length, why are they equally distant from the centre?2/2 changed 1102ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01K4XXVQ...
OriginalIf two chords are equal in length, why are they equally distant from the centre?Converted[CHANGED] If two chords are equal in length, why are they equally distant from the center?
Answers (1)
Answer.contentans_01K4XXVQ...
OriginalEqual chords create equal perpendicular distances from the centre, because the circle is symmetric around its centre.Converted[CHANGED] Equal chords create equal perpendicular distances from the center, because the circle is symmetric around its center.
Question sqn_01JX0GRRZT1G
A water tank contains $85$ litres of water. If $8$ litres are used for irrigatio...2/3 changed 2943ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01JX0GRR...
OriginalA water tank contains $85$ litres of water. If $8$ litres are used for irrigation, how much water is left in the tank?Converted[CHANGED] A water tank contains $85$ liters of water. If $8$ liters are used for irrigation, how much water is left in the tank?
ShortQuestion.suffixsqn_01JX0GRR...
OriginallitresConverted[CHANGED] liters
Answers (1)
Answer.contentans_01K2KH3R...
Original77Converted77
Question sqn_01K6KWE4H2G7
Why does multiplying litres by $1000$ always give the number of millilitres?2/2 changed 1127ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01K6KWE4...
OriginalWhy does multiplying litres by $1000$ always give the number of millilitres?Converted[CHANGED] Why does multiplying liters by $1000$ always give the number of milliliters?
Answers (1)
Answer.contentans_01K6KWE4...
OriginalThere are $1000$ millilitres in each litre, so each litre contributes $1000$ mL.Converted[CHANGED] There are $1000$ milliliters in each liter, so each liter contributes $1000$ mL.
Question sqn_01JYE5BB9A96
Fill in the blank: A water tank is filled at a constant rate of $8$ litres per h...3/3 changed 3466ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01JYE5BB...
OriginalFill in the blank: A water tank is filled at a constant rate of $8$ litres per hour. After $6$ hours, the tank will have received an additional $[?]$ litres.Converted[CHANGED] Fill in the blank: A water tank is filled at a constant rate of $8$ gallons per hour. After $6$ hours, the tank will have received an additional $[?]$ gallons.
ShortQuestion.suffixsqn_01JYE5BB...
OriginallitresConverted[CHANGED] gallons
Answers (1)
Answer.contentans_01JYE5BB...
Original48Converted[CHANGED] about 13
Question sqn_01K6MGD83YFZ
In $y = \dfrac{a}{x-h} + k$, why is $(h,k)$ the centre of the hyperbola?2/2 changed 1446ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01K6MGD8...
OriginalIn $y = \dfrac{a}{x-h} + k$, why is $(h,k)$ the centre of the hyperbola?Converted[CHANGED] In $y = \dfrac{a}{x-h} + k$, why is $(h,k)$ the center of the hyperbola?
Answers (1)
Answer.contentans_01K6VSA6...
OriginalBecause the values of $h$ and $k$ shift the graph of $y = \frac{a}{x}$ horizontally and vertically, the asymptotes move to $x = h$ and $y = k$, making $(h, k)$ the centre of the hyperbola.Converted[CHANGED] Because the values of $h$ and $k$ shift the graph of $y = \frac{a}{x}$ horizontally and vertically, the asymptotes move to $x = h$ and $y = k$, making $(h, k)$ the center of the hyperbola.
Question sqn_01KH7GFJHR4C
A car travels at a speed of $90$ kilometres per hour. What is this speed in metr...2/3 changed 1394ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01KH7GFJ...
OriginalA car travels at a speed of $90$ kilometres per hour. What is this speed in metres per hour?Converted[CHANGED] A car travels at a speed of $90$ kilometers per hour. What is this speed in meters per hour?
ShortQuestion.suffixsqn_01KH7GFJ...
Originalmetres per hourConverted[CHANGED] meters per hour
Answers (1)
Answer.contentans_01KH7GFJ...
Original90000Converted90000
Question sqn_01K6V9DYFJ1E
The height of a ball is given by $h = -5t^2 + 20t$. How do you know that the hig...2/2 changed 1851ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01K6V9DY...
OriginalThe height of a ball is given by $h = -5t^2 + 20t$. How do you know that the highest point the ball can reach is $20$ metres?Converted[CHANGED] The height of a ball is given by $h = -5t^2 + 20t$. How do you know that the highest point the ball can reach is $20$ meters?
Answers (1)
Answer.contentans_01K6V9DY...
OriginalThe parabola opens downwards, so its vertex gives the highest point. At $t = 2$, $h = 20$, so the ball reaches a maximum height of $20$ metres.Converted[CHANGED] The parabola opens downwards, so its vertex gives the highest point. At $t = 2$, $h = 20$, so the ball reaches a maximum height of $20$ meters.
Question sqn_01KH7H8D1Y5K
A cyclist travels $12.6$ kilometres in $1.5$ hours. Find the speed in metres per...2/3 changed 1460ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01KH7H8D...
OriginalA cyclist travels $12.6$ kilometres in $1.5$ hours. Find the speed in metres per hour.Converted[CHANGED] A cyclist travels $12.6$ kilometers in $1.5$ hours. Find the speed in meters per hour.
ShortQuestion.suffixsqn_01KH7H8D...
Originalmetres per hourConverted[CHANGED] meters per hour
Answers (1)
Answer.contentans_01KH7H8D...
Original8400Converted8400
Question sqn_01KH7HH1VXYF
A drone flies at a speed of $15$ metres per second. Convert this speed to kilome...1/3 changed 1338ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01KH7HH1...
OriginalA drone flies at a speed of $15$ metres per second. Convert this speed to kilometres per minute.Converted[CHANGED] A drone flies at a speed of $15$ meters per second. Convert this speed to kilometers per minute.
ShortQuestion.suffixsqn_01KH7HH1...
Originalkm/minConvertedkm/min
Answers (1)
Answer.contentans_01KH7HH2...
Original0.9Converted0.9
Question sqn_01KH7HR7B7WX
A train travels $1.2$ kilometres in $45$ seconds. What is the speed in metres pe...1/3 changed 1857ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01KH7HR7...
OriginalA train travels $1.2$ kilometres in $45$ seconds. What is the speed in metres per minute?Converted[CHANGED] A train travels $1.2$ kilometers in $45$ seconds. What is the speed in meters per minute?
ShortQuestion.suffixsqn_01KH7HR7...
Originalm/minConvertedm/min
Answers (1)
Answer.contentans_01KH7HR7...
Original1600Converted1600
Question sqn_01KH7JYESJT7
Why does changing from kilometres per hour to metres per second change the numbe...2/2 changed 1402ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01KH7JYE...
OriginalWhy does changing from kilometres per hour to metres per second change the number but not the speed?Converted[CHANGED] Why does changing from kilometers per hour to meters per second change the number but not the speed?
Answers (1)
Answer.contentans_01KH7JYF...
OriginalOnly the units change. Since kilometres and hours are larger units than metres and seconds, converting them changes the number to match the new units, but the actual speed does not change.Converted[CHANGED] Only the units change. Since kilometers and hours are larger units than meters and seconds, converting them changes the number to match the new units, but the actual speed does not change.
Question sqn_01KH7J27NBQ6
A swimmer moves at a speed of $2.5$ metres per second. Convert this speed to kil...1/3 changed 1486ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01KH7J27...
OriginalA swimmer moves at a speed of $2.5$ metres per second. Convert this speed to kilometres per hour.Converted[CHANGED] A swimmer moves at a speed of $2.5$ meters per second. Convert this speed to kilometers per hour.
ShortQuestion.suffixsqn_01KH7J27...
Originalkm/hConvertedkm/h
Answers (1)
Answer.contentans_01KH7J27...
Original9Converted9
Question sqn_01KH7HTWV1C7
A delivery truck travels at $90$ kilometres per hour. Convert this speed to metr...1/3 changed 1736ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_01KH7HTW...
OriginalA delivery truck travels at $90$ kilometres per hour. Convert this speed to metres per minute.Converted[CHANGED] A delivery truck travels at $90$ kilometers per hour. Convert this speed to meters per minute.
ShortQuestion.suffixsqn_01KH7HTW...
Originalm/minConvertedm/min
Answers (1)
Answer.contentans_01KH7HTX...
Original1500Converted1500
Question sqn_33fb13fd-476
How do you know when to use square metres or metres?2/2 changed 805ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_33fb13fd...
OriginalHow do you know when to use square metres or metres?Converted[CHANGED] How do you know when to use square meters or meters?
Answers (1)
Answer.contentans_01K2Y1QY...
OriginalUse square metres for flat space like a floor and metres for length or height.Converted[CHANGED] Use square meters for flat space like a floor and meters for length or height.
Question sqn_1182f7a2-25f
How do you know that a rectangle with its length and width in centimetres will h...2/2 changed 1117ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_1182f7a2...
OriginalHow do you know that a rectangle with its length and width in centimetres will have its area in square centimetres?Converted[CHANGED] How do you know that a rectangle with its length and width in centimeters will have its area in square centimeters?
Answers (1)
Answer.contentans_01K2Y1X6...
OriginalArea comes from multiplying length and width. If both are in centimetres, the area is in square centimetres.Converted[CHANGED] Area comes from multiplying length and width. If both are in centimeters, the area is in square centimeters.
Question sqn_117cbb75-00d
Why is $3500$ centimetres not the same as $35000$ micrometres?2/2 changed 2363ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_117cbb75...
OriginalWhy is $3500$ centimetres not the same as $35000$ micrometres?Converted[CHANGED] Why is $3500$ centimeters not the same as $35000$ micrometers?
Answers (1)
Answer.contentans_01K4BRWV...
Original$1$ centimetre equals $10$ millimetres, and each millimetre equals $1000$ micrometres. So $1$ centimetre = $10000$ micrometres. This means $3500$ centimetres = $35{,}000{,}000$ micrometres, not $35000$.Converted[CHANGED] $1$ centimeter equals $10$ millimeters, and each millimeter equals $1000$ micrometers. So $1$ centimeter = $10000$ micrometers. This means $3500$ centimeters = $35{,}000{,}000$ micrometers, not $35000$.
Question sqn_5def3910-d1d
Show why the circle $(x-2)^2+(y+1)^2=25$ has its centre at $(2,-1)$.2/2 changed 1636ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_5def3910...
OriginalShow why the circle $(x-2)^2+(y+1)^2=25$ has its centre at $(2,-1)$.Converted[CHANGED] Show why the circle $(x-2)^2+(y+1)^2=25$ has its center at $(2,-1)$.
Answers (1)
Answer.contentans_a2757972...
OriginalThe standard circle equation is $(x-h)^2+(y-k)^2=r^2$ with centre $(h,k)$. Comparing gives $h=2$ and $k=-1$. So, the centre is $(2, -1)$.Converted[CHANGED] The standard circle equation is $(x-h)^2+(y-k)^2=r^2$ with center $(h,k)$. Comparing gives $h=2$ and $k=-1$. So, the center is $(2, -1)$.
Question sqn_39dd337c-5c9
Explain why the circle $(x + \frac{3}{2})^2 + (y - 3)^2 = 36$ has centre $\left(...2/2 changed 2155ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_39dd337c...
OriginalExplain why the circle $(x + \frac{3}{2})^2 + (y - 3)^2 = 36$ has centre $\left(-\frac{3}{2}, 3\right)$.Converted[CHANGED] Explain why the circle $(x + \frac{3}{2})^2 + (y - 3)^2 = 36$ has center $\left(-\frac{3}{2}, 3\right)$.
Answers (1)
Answer.contentans_01K5AMA0...
OriginalThe circle formula is $(x - h)^2 + (y - k)^2 = r^2$. Here $(x + \frac{3}{2})^2$ means $h = -\frac{3}{2}$, and $(y - 3)^2$ means $k = 3$. So the centre is $\left(-\frac{3}{2}, 3\right)$.Converted[CHANGED] The circle formula is $(x - h)^2 + (y - k)^2 = r^2$. Here $(x + \frac{3}{2})^2$ means $h = -\frac{3}{2}$, and $(y - 3)^2$ means $k = 3$. So the center is $\left(-\frac{3}{2}, 3\right)$.
Question sqn_681ea0f8-021
Show why the circle $(x - h)^2 + (y - k)^2 = r^2$ has its centre at $(h, k)$.2/2 changed 1453ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_681ea0f8...
OriginalShow why the circle $(x - h)^2 + (y - k)^2 = r^2$ has its centre at $(h, k)$.Converted[CHANGED] Show why the circle $(x - h)^2 + (y - k)^2 = r^2$ has its center at $(h, k)$.
Answers (1)
Answer.contentans_01K5AM85...
OriginalThe equation means every point $(x, y)$ on the circle is $r$ units from $(h, k)$. This makes $(h, k)$ the centre.Converted[CHANGED] The equation means every point $(x, y)$ on the circle is $r$ units from $(h, k)$. This makes $(h, k)$ the center.
Question sqn_70dce3f9-6ad
Show that $2.5$ km is farther than $2000$ metres.2/2 changed 1742ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_70dce3f9...
OriginalShow that $2.5$ km is farther than $2000$ metres.Converted[CHANGED] Show that $2.5$ km is farther than $2000$ meters.
Answers (1)
Answer.contentans_01K32XN6...
Original$1$ km equals $1000$ metres. So $2.5$ km equals $2500$ metres. $2500$ metres is more than $2000$ metres, so $2.5$ km is farther.Converted[CHANGED] $1$ km equals $1000$ meters. So $2.5$ km equals $2500$ meters. $2500$ meters is more than $2000$ meters, so $2.5$ km is farther.
Question sqn_768cab1b-207
Tim says 'miles' is not a metric unit used to measure length. How do you know he...1/3 changed 1596ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_768cab1b...
OriginalTim says 'miles' is not a metric unit used to measure length. How do you know he is correct?ConvertedTim says 'miles' is not a metric unit used to measure length. How do you know he is correct?
ShortQuestion.hintsqn_768cab1b...
OriginalMile is imperial distance unitConvertedMile is imperial distance unit
Answers (1)
Answer.contentans_5fc676ca...
OriginalHe's right. Miles are part of the imperial system. The metric system uses units like metres or kilometres for length.Converted[CHANGED] He's right. Miles are part of the imperial system. The metric system uses units like meters or kilometers for length.
Question sqn_9d8a2530-2b7
How do you know $150$ cm equals $1.5$ metres?2/2 changed 1765ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_9d8a2530...
OriginalHow do you know $150$ cm equals $1.5$ metres?Converted[CHANGED] How do you know $150$ cm equals $1.5$ meters?
Answers (1)
Answer.contentans_01K32XKS...
Original$1$ metre is $100$ cm. $150$ cm is $100$ cm plus another $50$ cm. That makes $1$ metre and $0.5$ metre, which is $1.5$ metres.Converted[CHANGED] $1$ meter is $100$ cm. $150$ cm is $100$ cm plus another $50$ cm. That makes $1$ meter and $0.5$ meter, which is $1.5$ meters.
Question sqn_adf077ef-8a5
Show that $2$ m$^3$ plus $500$ cm$^3$ is not the same as $2.5$ litres.2/2 changed 1771ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_adf077ef...
OriginalShow that $2$ m$^3$ plus $500$ cm$^3$ is not the same as $2.5$ litres.Converted[CHANGED] Show that $2$ m$^3$ plus $500$ cm$^3$ is not the same as $2.5$ liters.
Answers (1)
Answer.contentans_01K5QZC1...
Original$2$ m$^3 = 2000$ litres and $500$ cm$^3 = 0.5$ litres. Together they make $2000.5$ litres, which is much bigger than $2.5$ litres.Converted[CHANGED] $2$ m$^3 = 2000$ liters and $500$ cm$^3 = 0.5$ liters. Together they make $2000.5$ liters, which is much bigger than $2.5$ liters.
Question sqn_b5132d27-fa4
Show that $12.25$ m$^3$ plus $750$ millilitres is not the same as $13$ litres.2/2 changed 1470ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_b5132d27...
OriginalShow that $12.25$ m$^3$ plus $750$ millilitres is not the same as $13$ litres.Converted[CHANGED] Show that $12.25$ m$^3$ plus $750$ milliliters is not the same as $13$ liters.
Answers (1)
Answer.contentans_01K5QZDF...
Original$12.25$ m$^3 = 12250$ litres and $750$ millilitres = $0.75$ litres. Together they make $12250.75$ litres, which is much bigger than $13$ litres.Converted[CHANGED] $12.25$ m$^3 = 12250$ liters and $750$ milliliters = $0.75$ liters. Together they make $12250.75$ liters, which is much bigger than $13$ liters.
Question sqn_75d8abf6-e4e
Explain why a $5$ m rope is shorter than a $2$ km path2/2 changed 2980ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_75d8abf6...
OriginalExplain why a $5$ m rope is shorter than a $2$ km pathConverted[CHANGED] Explain why a $5$ m (about 16 feet) rope is shorter than a $2$ km (about 1.2 miles) path
Answers (1)
Answer.contentans_01K32XWA...
OriginalA kilometre is much bigger than a metre, so a path in kilometres is far longer than a rope in metres.Converted[CHANGED] A kilometer is much bigger than a meter, so a path in kilometers is far longer than a rope in meters.
Subtopic subtopic_01GTC0B1/1 changed 250ms

text_au_to_us / gpt-oss-120b

Subtopic.titlesubtopic_01G...
OriginalFinancial Maths FoundationsConverted[CHANGED] Financial Math Foundations
Subtopic subtopic_01GTC0B1/1 changed 266ms

text_au_to_us / gpt-oss-120b

Subtopic.titlesubtopic_01G...
OriginalFinancial Maths CalculationsConverted[CHANGED] Financial Math Calculations
Subtopic subtopic_01GTC0B1/1 changed 268ms

text_au_to_us / gpt-oss-120b

Subtopic.titlesubtopic_01G...
OriginalMeasures of CentreConverted[CHANGED] Measures of Center
Question sqn_e95953c6-2a0
How do you know $140$ centimetres and $4250000$ micrometres is $5.65$ metres?2/3 changed 1637ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_e95953c6...
OriginalHow do you know $140$ centimetres and $4250000$ micrometres is $5.65$ metres?Converted[CHANGED] How do you know $140$ centimeters and $4250000$ micrometers is $5.65$ meters?
ShortQuestion.hintsqn_e95953c6...
OriginalAdd different unitsConvertedAdd different units
Answers (1)
Answer.contentans_33ca3845...
OriginalConvert to metres: $140$ cm $= 1.4$ m, $4250000$ μm $= 4.25$ m. Sum: $1.4 + 4.25 = 5.65$ m.Converted[CHANGED] Convert to meters: $140$ cm $= 1.4$ m, $4250000$ μm $= 4.25$ m. Sum: $1.4 + 4.25 = 5.65$ m.
Question sqn_e98adec6-a09
Show why $85$ cm is closer to $1$ metre than to $50$ cm2/2 changed 1708ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_e98adec6...
OriginalShow why $85$ cm is closer to $1$ metre than to $50$ cmConverted[CHANGED] Show why $85$ cm is closer to $1$ meter than to $50$ cm
Answers (1)
Answer.contentans_01K32XJP...
Original$1$ metre is $100$ cm. From $85$ cm to $100$ cm is $15$ cm, but from $85$ cm to $50$ cm is $35$ cm. Because $15$ cm is less, $85$ cm is closer to $1$ metre.Converted[CHANGED] $1$ meter is $100$ cm. From $85$ cm to $100$ cm is $15$ cm, but from $85$ cm to $50$ cm is $35$ cm. Because $15$ cm is less, $85$ cm is closer to $1$ meter.
Question sqn_f67f3459-fc9
How do you know that combining two $3$ m by $2$ m spaces needs square metres to ...2/3 changed 1641ms

text_au_to_us / gpt-oss-120b

Question
ShortQuestion.contentsqn_f67f3459...
OriginalHow do you know that combining two $3$ m by $2$ m spaces needs square metres to show the total area?Converted[CHANGED] How do you know that combining two $3$ m by $2$ m spaces needs square meters to show the total area?
ShortQuestion.hintsqn_f67f3459...
OriginalAdd areas using square unitsConvertedAdd areas using square units
Answers (1)
Answer.contentans_01K2Y1ZB...
OriginalEach space is $3$ m by $2$ m, so its area is in square metres. Adding them keeps the total in square metres.Converted[CHANGED] Each space is $3$ m by $2$ m, so its area is in square meters. Adding them keeps the total in square meters.