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3782 | 757 | Text Lite | In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 | C | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 | In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 |
|
2616 | 524 | Text Dominant | There is a function representing a circle centered at the origin with a radius of 1 unit. Point A is on the circle. What is the value of the y-coordinate of point A?
Choices:
A:$\sin \left(0^{\circ}\right)$
B:$\cos \left(0^{\circ}\right)$
C:$\sin \left(90^{\circ}\right)$
D:$\cos \left(90^{\circ}\right)$
E:$\hline \sin \left(270^{\circ}\right)$
F:$\cos \left(270^{\circ}\right)$ | E | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Coordinate"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: There is a function representing a circle centered at the origin with a radius of 1 unit. Point A is on the circle. What is the value of the y-coordinate of point A?
Choices:
A:$\sin \left(0^{\circ}\right)$
B:$\cos \left(0^{\circ}\right)$
C:$\sin \left(90^{\circ}\right)$
D:$\cos \left(90^{\circ}\right)$
E:$\hline \sin \left(270^{\circ}\right)$
F:$\cos \left(270^{\circ}\right)$ | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: There is a function representing a circle centered at the origin with a radius of 1 unit. Point A is on the circle. What is the value of the y-coordinate of point A?
Choices:
A:$\sin \left(0^{\circ}\right)$
B:$\cos \left(0^{\circ}\right)$
C:$\sin \left(90^{\circ}\right)$
D:$\cos \left(90^{\circ}\right)$
E:$\hline \sin \left(270^{\circ}\right)$
F:$\cos \left(270^{\circ}\right)$ | There is a function representing a circle centered at the origin with a radius of 1 unit. Point A is on the circle. What is the value of the y-coordinate of point A?
Choices:
A:$\sin \left(0^{\circ}\right)$
B:$\cos \left(0^{\circ}\right)$
C:$\sin \left(90^{\circ}\right)$
D:$\cos \left(90^{\circ}\right)$
E:$\hline \sin \left(270^{\circ}\right)$
F:$\cos \left(270^{\circ}\right)$ |
|
123 | 25 | Vision Intensive | As shown in the figure, angle B = 50.0, then the degree of angle C is ()
Choices:
A:50°
B:55°
C:60°
D:65° | D | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle B = 50.0, then the degree of angle C is ()
Choices:
A:50°
B:55°
C:60°
D:65° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, angle B = 50.0, then the degree of angle C is ()
Choices:
A:50°
B:55°
C:60°
D:65° | As shown in the figure, angle B = 50.0, then the degree of angle C is ()
Choices:
A:50°
B:55°
C:60°
D:65° |
|
2621 | 525 | Text Dominant | There is a function representing a circle centered at the origin with a radius of 1 unit. Points A,B, and C are plotted on the unit circle. Which of the coordinates is equal to \sin \left(310^{\circ}\right) ?
Choices:
A:x-coordinate of point A
B:y-coordinate of point A
C:x-coordinate of point B
D:y-coordinate of point B
E:x-coordinate of point C
F:y-coordinate of point C | F | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Coordinate"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: There is a function representing a circle centered at the origin with a radius of 1 unit. Points A,B, and C are plotted on the unit circle. Which of the coordinates is equal to \sin \left(310^{\circ}\right) ?
Choices:
A:x-coordinate of point A
B:y-coordinate of point A
C:x-coordinate of point B
D:y-coordinate of point B
E:x-coordinate of point C
F:y-coordinate of point C | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: There is a function representing a circle centered at the origin with a radius of 1 unit. Points A,B, and C are plotted on the unit circle. Which of the coordinates is equal to \sin \left(310^{\circ}\right) ?
Choices:
A:x-coordinate of point A
B:y-coordinate of point A
C:x-coordinate of point B
D:y-coordinate of point B
E:x-coordinate of point C
F:y-coordinate of point C | There is a function representing a circle centered at the origin with a radius of 1 unit. Points A,B, and C are plotted on the unit circle. Which of the coordinates is equal to \sin \left(310^{\circ}\right) ?
Choices:
A:x-coordinate of point A
B:y-coordinate of point A
C:x-coordinate of point B
D:y-coordinate of point B
E:x-coordinate of point C
F:y-coordinate of point C |
|
1732 | 347 | Text Lite | Find the value of H.
Round your answer to the nearest whole number. | 19 | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find the value of H.
Round your answer to the nearest whole number. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find the value of H.
Round your answer to the nearest whole number. | Find the value of H.
Round your answer to the nearest whole number. |
|
2806 | 562 | Text Dominant | Quadratic function g opens upward, and goes through (2,4), (6,4) with a vertex of (4,0). Is the discriminant of f positive, zero, or negative?
Choices:
A:Positivie
B:Zero
C:Negative | B | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Property"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Quadratic function g opens upward, and goes through (2,4), (6,4) with a vertex of (4,0). Is the discriminant of f positive, zero, or negative?
Choices:
A:Positivie
B:Zero
C:Negative | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Quadratic function g opens upward, and goes through (2,4), (6,4) with a vertex of (4,0). Is the discriminant of f positive, zero, or negative?
Choices:
A:Positivie
B:Zero
C:Negative | Quadratic function g opens upward, and goes through (2,4), (6,4) with a vertex of (4,0). Is the discriminant of f positive, zero, or negative?
Choices:
A:Positivie
B:Zero
C:Negative |
|
175 | 35 | Vision Only | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | As shown in the figure: AB parallel DE, the degree of angle D is ()
Choices:
A:115°
B:120°
C:100°
D:80° |
||
1064 | 213 | Vision Dominant | In \odot P, find the length of \widehat R S. Round to the nearest hundredth.
Choices:
A:2.27
B:3.91
C:4.54
D:7.82 | C | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In \odot P, find the length of \widehat R S. Round to the nearest hundredth.
Choices:
A:2.27
B:3.91
C:4.54
D:7.82 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In \odot P, find the length of \widehat R S. Round to the nearest hundredth.
Choices:
A:2.27
B:3.91
C:4.54
D:7.82 | In \odot P, find the length of \widehat R S. Round to the nearest hundredth.
Choices:
A:2.27
B:3.91
C:4.54
D:7.82 |
|
2113 | 423 | Vision Intensive | The meteoroid projected in the direction of B is moving at a speed of 7860 km/h.
What distance will the meteoroid travelling towards point B have covered after 29 minutes? | 3799 km | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The meteoroid projected in the direction of B is moving at a speed of 7860 km/h.
What distance will the meteoroid travelling towards point B have covered after 29 minutes? | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The meteoroid projected in the direction of B is moving at a speed of 7860 km/h.
What distance will the meteoroid travelling towards point B have covered after 29 minutes? | The meteoroid projected in the direction of B is moving at a speed of 7860 km/h.
What distance will the meteoroid travelling towards point B have covered after 29 minutes? |
|
3260 | 652 | Vision Only | Volume $=46827.83 \mathrm{~mm}^{3}$ | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Volume"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | Find the volume of the sphere shown, giving your answer correct to two decimal places. |
||
3560 | 712 | Vision Only | 288.6 \mathrm{m}^2 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | Find the surface area of the pyramid.
Round your answer to two decimal places. |
||
3503 | 701 | Vision Intensive | Find the surface area of the solid figure shown. The height is 21 cm. | 768 \mathrm{cm}^2 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find the surface area of the solid figure shown. The height is 21 cm. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find the surface area of the solid figure shown. The height is 21 cm. | Find the surface area of the solid figure shown. The height is 21 cm. |
|
213 | 43 | Vision Intensive | As shown in the figure, angle AOD is 30.0. and the degree of angle AOC is 100.0, then the degree of angle DOB is ()
Choices:
A:40°
B:30°
C:38°
D:15° | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle AOD is 30.0. and the degree of angle AOC is 100.0, then the degree of angle DOB is ()
Choices:
A:40°
B:30°
C:38°
D:15° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, angle AOD is 30.0. and the degree of angle AOC is 100.0, then the degree of angle DOB is ()
Choices:
A:40°
B:30°
C:38°
D:15° | As shown in the figure, angle AOD is 30.0. and the degree of angle AOC is 100.0, then the degree of angle DOB is ()
Choices:
A:40°
B:30°
C:38°
D:15° |
|
3756 | 752 | Text Dominant | The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | A | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 |
|
3273 | 655 | Vision Intensive | Consider the following solid figure with a height of 35 cm. Find the surface area of the solid figure.
Round your answer to two decimal places. | Surface Area $=2827.43 \mathrm{~cm}^{2}$ | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Consider the following solid figure with a height of 35 cm. Find the surface area of the solid figure.
Round your answer to two decimal places. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Consider the following solid figure with a height of 35 cm. Find the surface area of the solid figure.
Round your answer to two decimal places. | Consider the following solid figure with a height of 35 cm. Find the surface area of the solid figure.
Round your answer to two decimal places. |
|
1652 | 331 | Text Lite | Consider the points on the diagram P, A and N where N denotes the north cardinal point.
Using the diagram, find the true bearing of P from A. | 315^\circT | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Consider the points on the diagram P, A and N where N denotes the north cardinal point.
Using the diagram, find the true bearing of P from A. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Consider the points on the diagram P, A and N where N denotes the north cardinal point.
Using the diagram, find the true bearing of P from A. | Consider the points on the diagram P, A and N where N denotes the north cardinal point.
Using the diagram, find the true bearing of P from A. |
|
866 | 174 | Text Dominant | As shown in the figure, it is known that O is a point in the quadrilateral ABCD, OA = OB = OC, angle ABC = angle ADC = 65.0, then angle DAO + angle DCO = ()
Choices:
A:90°
B:110°
C:120°
D:165° | D | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, it is known that O is a point in the quadrilateral ABCD, OA = OB = OC, angle ABC = angle ADC = 65.0, then angle DAO + angle DCO = ()
Choices:
A:90°
B:110°
C:120°
D:165° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, it is known that O is a point in the quadrilateral ABCD, OA = OB = OC, angle ABC = angle ADC = 65.0, then angle DAO + angle DCO = ()
Choices:
A:90°
B:110°
C:120°
D:165° | As shown in the figure, it is known that O is a point in the quadrilateral ABCD, OA = OB = OC, angle ABC = angle ADC = 65.0, then angle DAO + angle DCO = ()
Choices:
A:90°
B:110°
C:120°
D:165° |
|
2705 | 541 | Vision Only | 3 | free-form | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Property"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | Below is the graph of a trigonometric function. What is the midline equation of the function? |
||
187 | 38 | Text Lite | As shown in the figure, AB = AC, AD parallel BC. If angle 1 = 70.0, then the size of angle BAC is ()
Choices:
A:40°
B:30°
C:.70°
D:50° | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AB = AC, AD parallel BC. If angle 1 = 70.0, then the size of angle BAC is ()
Choices:
A:40°
B:30°
C:.70°
D:50° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AB = AC, AD parallel BC. If angle 1 = 70.0, then the size of angle BAC is ()
Choices:
A:40°
B:30°
C:.70°
D:50° | As shown in the figure, AB = AC, AD parallel BC. If angle 1 = 70.0, then the size of angle BAC is ()
Choices:
A:40°
B:30°
C:.70°
D:50° |
|
3920 | 784 | Vision Only | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?
Choices:
A.10
B.8
C.6
D.4
E.2
|
||
3658 | 732 | Vision Intensive | As shown in the figure, the height of the solid is 9cm. Find the volume of the solid shown. | 270 \mathrm{cm}^3 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Volume"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: As shown in the figure, the height of the solid is 9cm. Find the volume of the solid shown. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: As shown in the figure, the height of the solid is 9cm. Find the volume of the solid shown. | As shown in the figure, the height of the solid is 9cm. Find the volume of the solid shown. |
|
3653 | 731 | Vision Intensive | As shown in the figure, the height of the prism is 2cm. Find the volume of the solid. | 32 \mathrm{cm}^3 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Volume"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: As shown in the figure, the height of the prism is 2cm. Find the volume of the solid. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: As shown in the figure, the height of the prism is 2cm. Find the volume of the solid. | As shown in the figure, the height of the prism is 2cm. Find the volume of the solid. |
|
2510 | 502 | Vision Only | (-1.8,10) | free-form | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Property"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | Find the absolute maximum of the cubic function. |
||
243 | 49 | Vision Intensive | As shown in the figure, angle CAD = 35.0, angle AED = 115.0, then the degree of angle B is ()
Choices:
A:50°
B:75°
C:80°
D:100° | D | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle CAD = 35.0, angle AED = 115.0, then the degree of angle B is ()
Choices:
A:50°
B:75°
C:80°
D:100° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, angle CAD = 35.0, angle AED = 115.0, then the degree of angle B is ()
Choices:
A:50°
B:75°
C:80°
D:100° | As shown in the figure, angle CAD = 35.0, angle AED = 115.0, then the degree of angle B is ()
Choices:
A:50°
B:75°
C:80°
D:100° |
|
482 | 97 | Text Lite | As shown in the figure, OC perpendicular AB and it intersects circle O at point C. if angle ABC = 25.0, then the size of angle AOB is ()
Choices:
A:80°
B:90°
C:100°
D:120° | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, OC perpendicular AB and it intersects circle O at point C. if angle ABC = 25.0, then the size of angle AOB is ()
Choices:
A:80°
B:90°
C:100°
D:120° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, OC perpendicular AB and it intersects circle O at point C. if angle ABC = 25.0, then the size of angle AOB is ()
Choices:
A:80°
B:90°
C:100°
D:120° | As shown in the figure, OC perpendicular AB and it intersects circle O at point C. if angle ABC = 25.0, then the size of angle AOB is ()
Choices:
A:80°
B:90°
C:100°
D:120° |
|
966 | 194 | Text Dominant | Put the ruler, the triangle ruler and the round nut on the desktop as shown in the figure, angle CAB = 60.0, if AD = 6.0, then the outer diameter of the round nut is ()
Choices:
A:12cm
B:24cm
C:6√{3}cm
D:12√{3}cm | D | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Put the ruler, the triangle ruler and the round nut on the desktop as shown in the figure, angle CAB = 60.0, if AD = 6.0, then the outer diameter of the round nut is ()
Choices:
A:12cm
B:24cm
C:6√{3}cm
D:12√{3}cm | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Put the ruler, the triangle ruler and the round nut on the desktop as shown in the figure, angle CAB = 60.0, if AD = 6.0, then the outer diameter of the round nut is ()
Choices:
A:12cm
B:24cm
C:6√{3}cm
D:12√{3}cm | Put the ruler, the triangle ruler and the round nut on the desktop as shown in the figure, angle CAB = 60.0, if AD = 6.0, then the outer diameter of the round nut is ()
Choices:
A:12cm
B:24cm
C:6√{3}cm
D:12√{3}cm |
|
1267 | 254 | Text Lite | Find y.
Choices:
A:\frac { \sqrt { 2 } } { 2 }
B:\sqrt { 2 }
C:2 \sqrt { 2 }
D:4 \sqrt { 2 } | D | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find y.
Choices:
A:\frac { \sqrt { 2 } } { 2 }
B:\sqrt { 2 }
C:2 \sqrt { 2 }
D:4 \sqrt { 2 } | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find y.
Choices:
A:\frac { \sqrt { 2 } } { 2 }
B:\sqrt { 2 }
C:2 \sqrt { 2 }
D:4 \sqrt { 2 } | Find y.
Choices:
A:\frac { \sqrt { 2 } } { 2 }
B:\sqrt { 2 }
C:2 \sqrt { 2 }
D:4 \sqrt { 2 } |
|
2842 | 569 | Text Lite | Write the equation for g(x).
| g(x)=x^2-3 | free-form | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Expression"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Write the equation for g(x).
| Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Write the equation for g(x).
| Write the equation for g(x).
|
|
1088 | 218 | Vision Intensive | In \odot O, the diameter is 14. Find the length of \widehat A B. Round to the nearest hundredth.
Choices:
A:7.63
B:9.77
C:11.13
D:14.83 | B | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In \odot O, the diameter is 14. Find the length of \widehat A B. Round to the nearest hundredth.
Choices:
A:7.63
B:9.77
C:11.13
D:14.83 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In \odot O, the diameter is 14. Find the length of \widehat A B. Round to the nearest hundredth.
Choices:
A:7.63
B:9.77
C:11.13
D:14.83 | In \odot O, the diameter is 14. Find the length of \widehat A B. Round to the nearest hundredth.
Choices:
A:7.63
B:9.77
C:11.13
D:14.83 |
|
3604 | 721 | Vision Dominant | Consider the rectangular prism shown.
Write a fully expanded and simplified expression for the volume of the prism. | 12x^2+144x+384 \mathrm{m}^3 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Volume"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Consider the rectangular prism shown.
Write a fully expanded and simplified expression for the volume of the prism. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Consider the rectangular prism shown.
Write a fully expanded and simplified expression for the volume of the prism. | Consider the rectangular prism shown.
Write a fully expanded and simplified expression for the volume of the prism. |
|
1844 | 369 | Vision Dominant | Find the length of side h. | 1 | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find the length of side h. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find the length of side h. | Find the length of side h. |
|
3685 | 737 | Vision Only | \frac{847}{3} \mathrm{mm}^3 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Volume"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | Find the exact volume of the right pyramid pictured. |
||
2795 | 559 | Vision Only | A | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Property"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | What is the range of g?
Choices:
A:-4 \leq g(x) \leq 9
B:The $g(x)$-values $-5,-2,1,3$, and 4
C:The $g(x)$-values $-4,0$, and 9
D:-5 \leq g(x) \leq 4 |
||
1237 | 248 | Text Lite | In the triangle with hypotenuse length 74, use a Pythagorean Triple to find x.
Choices:
A:66
B:68
C:70
D:72 | C | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the triangle with hypotenuse length 74, use a Pythagorean Triple to find x.
Choices:
A:66
B:68
C:70
D:72 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the triangle with hypotenuse length 74, use a Pythagorean Triple to find x.
Choices:
A:66
B:68
C:70
D:72 | In the triangle with hypotenuse length 74, use a Pythagorean Triple to find x.
Choices:
A:66
B:68
C:70
D:72 |
|
558 | 112 | Vision Intensive | As shown in the figure, the bottom radius of the cone OB = 0.7, the length of AB is 2.5, then the length of AO is ()
Choices:
A:2.4
B:2.2
C:1.8
D:1.6 | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, the bottom radius of the cone OB = 0.7, the length of AB is 2.5, then the length of AO is ()
Choices:
A:2.4
B:2.2
C:1.8
D:1.6 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, the bottom radius of the cone OB = 0.7, the length of AB is 2.5, then the length of AO is ()
Choices:
A:2.4
B:2.2
C:1.8
D:1.6 | As shown in the figure, the bottom radius of the cone OB = 0.7, the length of AB is 2.5, then the length of AO is ()
Choices:
A:2.4
B:2.2
C:1.8
D:1.6 |
|
3278 | 656 | Vision Intensive | The following solid figure has a base radius of 21 m.
Find the surface area.
Give your answer to the nearest two decimal places. | Surface Area $=9236.28 \mathrm{~m}^{2}$ | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The following solid figure has a base radius of 21 m.
Find the surface area.
Give your answer to the nearest two decimal places. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The following solid figure has a base radius of 21 m.
Find the surface area.
Give your answer to the nearest two decimal places. | The following solid figure has a base radius of 21 m.
Find the surface area.
Give your answer to the nearest two decimal places. |
|
2531 | 507 | Text Dominant | Which of the following could be the equation of the graphed line, whose y-intercept is 3 and x-intercept is -8?
Choices:
A.$3 x-8 y=24$
B.$3 x-8 y=-24$
C.$3 x+8 y=24$
D.$3 x+8 y=-24$ | B | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Expression"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Which of the following could be the equation of the graphed line, whose y-intercept is 3 and x-intercept is -8?
Choices:
A.$3 x-8 y=24$
B.$3 x-8 y=-24$
C.$3 x+8 y=24$
D.$3 x+8 y=-24$ | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Which of the following could be the equation of the graphed line, whose y-intercept is 3 and x-intercept is -8?
Choices:
A.$3 x-8 y=24$
B.$3 x-8 y=-24$
C.$3 x+8 y=24$
D.$3 x+8 y=-24$ | Which of the following could be the equation of the graphed line, whose y-intercept is 3 and x-intercept is -8?
Choices:
A.$3 x-8 y=24$
B.$3 x-8 y=-24$
C.$3 x+8 y=24$
D.$3 x+8 y=-24$ |
|
639 | 128 | Vision Dominant | As shown in the figure, If OA and OB are overlapped to form a cone side, the diameter of the bottom of the cone is ()
Choices:
A:2cm
B:4cm
C:3cm
D:5cm | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, If OA and OB are overlapped to form a cone side, the diameter of the bottom of the cone is ()
Choices:
A:2cm
B:4cm
C:3cm
D:5cm | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, If OA and OB are overlapped to form a cone side, the diameter of the bottom of the cone is ()
Choices:
A:2cm
B:4cm
C:3cm
D:5cm | As shown in the figure, If OA and OB are overlapped to form a cone side, the diameter of the bottom of the cone is ()
Choices:
A:2cm
B:4cm
C:3cm
D:5cm |
|
2756 | 552 | Text Dominant | Ashlynn models the relationship between the temperature $C$ of a hot cup of tea (in degrees Celsius) and time $T$ since the tea was poured into the cup (in minutes) as $C=20+20 \cdot 0.88^T$. The temperature decreases when time increases, and passes points(0, 40). She wanted to graph the relationship over the first half hour. Here is her work: What mistakes did Ashlynn make when drawing the graph?
Choices:
A:Inappropriate scale for $x$-axis
B:Inappropriate scale for $y$-axis
C:Wrong/missing label for $x$-axis
D:Wrong/missing label for $y$-axis
E:Ashlynn didn't make any mistake | E | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Applied"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Ashlynn models the relationship between the temperature $C$ of a hot cup of tea (in degrees Celsius) and time $T$ since the tea was poured into the cup (in minutes) as $C=20+20 \cdot 0.88^T$. The temperature decreases when time increases, and passes points(0, 40). She wanted to graph the relationship over the first half hour. Here is her work: What mistakes did Ashlynn make when drawing the graph?
Choices:
A:Inappropriate scale for $x$-axis
B:Inappropriate scale for $y$-axis
C:Wrong/missing label for $x$-axis
D:Wrong/missing label for $y$-axis
E:Ashlynn didn't make any mistake | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Ashlynn models the relationship between the temperature $C$ of a hot cup of tea (in degrees Celsius) and time $T$ since the tea was poured into the cup (in minutes) as $C=20+20 \cdot 0.88^T$. The temperature decreases when time increases, and passes points(0, 40). She wanted to graph the relationship over the first half hour. Here is her work: What mistakes did Ashlynn make when drawing the graph?
Choices:
A:Inappropriate scale for $x$-axis
B:Inappropriate scale for $y$-axis
C:Wrong/missing label for $x$-axis
D:Wrong/missing label for $y$-axis
E:Ashlynn didn't make any mistake | Ashlynn models the relationship between the temperature $C$ of a hot cup of tea (in degrees Celsius) and time $T$ since the tea was poured into the cup (in minutes) as $C=20+20 \cdot 0.88^T$. The temperature decreases when time increases, and passes points(0, 40). She wanted to graph the relationship over the first half hour. Here is her work: What mistakes did Ashlynn make when drawing the graph?
Choices:
A:Inappropriate scale for $x$-axis
B:Inappropriate scale for $y$-axis
C:Wrong/missing label for $x$-axis
D:Wrong/missing label for $y$-axis
E:Ashlynn didn't make any mistake |
|
1640 | 328 | Vision Only | 22.3 | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Applied"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | Three television presenters are practising their navigation skills before heading off on an expedition to a remote location. Amelia is at point B, Ned is at point A, Bart is at point C. Find d to one decimal place. |
||
1249 | 250 | Vision Dominant | \angle J M K \cong \angle R M P. Find m \angle K L P.
Choices:
A:20
B:110
C:140
D:160 | D | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: \angle J M K \cong \angle R M P. Find m \angle K L P.
Choices:
A:20
B:110
C:140
D:160 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: \angle J M K \cong \angle R M P. Find m \angle K L P.
Choices:
A:20
B:110
C:140
D:160 | \angle J M K \cong \angle R M P. Find m \angle K L P.
Choices:
A:20
B:110
C:140
D:160 |
|
1429 | 286 | Vision Dominant | Find H P. Round to the nearest hundredth.
Choices:
A:2.29
B:3.35
C:5.65
D:6.71 | D | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find H P. Round to the nearest hundredth.
Choices:
A:2.29
B:3.35
C:5.65
D:6.71 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find H P. Round to the nearest hundredth.
Choices:
A:2.29
B:3.35
C:5.65
D:6.71 | Find H P. Round to the nearest hundredth.
Choices:
A:2.29
B:3.35
C:5.65
D:6.71 |
|
1977 | 396 | Text Lite | Find the area of the circle shown.
Give your answer as an exact value. | Area $=121 \pi \mathrm{cm}^{2}$ | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find the area of the circle shown.
Give your answer as an exact value. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find the area of the circle shown.
Give your answer as an exact value. | Find the area of the circle shown.
Give your answer as an exact value. |
|
1510 | 302 | Vision Only | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | FK H and J I are parallel. Find K J.
Choices:
A:2
B:4
C:6
D:8 |
||
3519 | 704 | Vision Dominant | Find the surface area of this prism. | 534 \mathrm{cm}^2 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find the surface area of this prism. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find the surface area of this prism. | Find the surface area of this prism. |
|
2478 | 496 | Vision Intensive | Determine whether the graph represents a one-to-one function.
Choices:
A.This is a one-to-one function
B.This is not a one-to-one function | B | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Property"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Determine whether the graph represents a one-to-one function.
Choices:
A.This is a one-to-one function
B.This is not a one-to-one function | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Determine whether the graph represents a one-to-one function.
Choices:
A.This is a one-to-one function
B.This is not a one-to-one function | Determine whether the graph represents a one-to-one function.
Choices:
A.This is a one-to-one function
B.This is not a one-to-one function |
|
3657 | 732 | Text Lite | As shown in the figure, the height of the prism is 9cm. Find the volume of the prism shown. | 270 \mathrm{cm}^3 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Volume"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: As shown in the figure, the height of the prism is 9cm. Find the volume of the prism shown. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: As shown in the figure, the height of the prism is 9cm. Find the volume of the prism shown. | As shown in the figure, the height of the prism is 9cm. Find the volume of the prism shown. |
|
3075 | 615 | Vision Only | A | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Applied"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | The graph shows Jimmy's speed while he is competing in a bike race. Which situation corresponds to the graph?
Choices:
A:Jimmy starts off by increasing his pace gradually and then stops as he trips over a stick,but then recovers and is able to increase his speed until the end of the race
B:Jimmy starts off at a constant speed and then increases his speed at a steady rate
C:Jimmy starts off by increasing his pace gradually and then maintains a constant speed
D:Jimmy hits his maximum speed about halfway through the race |
||
1161 | 233 | Text Dominant | In isosceles triangle R S T, \angle S R T is 70 degrees. Find m \angle R S T.
Choices:
A:55
B:70
C:75
D:80 | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In isosceles triangle R S T, \angle S R T is 70 degrees. Find m \angle R S T.
Choices:
A:55
B:70
C:75
D:80 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In isosceles triangle R S T, \angle S R T is 70 degrees. Find m \angle R S T.
Choices:
A:55
B:70
C:75
D:80 | In isosceles triangle R S T, \angle S R T is 70 degrees. Find m \angle R S T.
Choices:
A:55
B:70
C:75
D:80 |
|
1026 | 206 | Text Dominant | Two triangles A B C and A E D are similar with a shared vertex A. B C and E D are parallel. Find C D if A C = x - 3, B E = 20, A B = 16, and C D = x + 5.
Choices:
A:32
B:35
C:36
D:40 | D | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Two triangles A B C and A E D are similar with a shared vertex A. B C and E D are parallel. Find C D if A C = x - 3, B E = 20, A B = 16, and C D = x + 5.
Choices:
A:32
B:35
C:36
D:40 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Two triangles A B C and A E D are similar with a shared vertex A. B C and E D are parallel. Find C D if A C = x - 3, B E = 20, A B = 16, and C D = x + 5.
Choices:
A:32
B:35
C:36
D:40 | Two triangles A B C and A E D are similar with a shared vertex A. B C and E D are parallel. Find C D if A C = x - 3, B E = 20, A B = 16, and C D = x + 5.
Choices:
A:32
B:35
C:36
D:40 |
|
434 | 87 | Vision Dominant | As shown in the figure, chord DE parallel AB, then angle BOC is ()
Choices:
A:115°
B:100°
C:80°
D:50° | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, chord DE parallel AB, then angle BOC is ()
Choices:
A:115°
B:100°
C:80°
D:50° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, chord DE parallel AB, then angle BOC is ()
Choices:
A:115°
B:100°
C:80°
D:50° | As shown in the figure, chord DE parallel AB, then angle BOC is ()
Choices:
A:115°
B:100°
C:80°
D:50° |
|
1313 | 263 | Vision Intensive | Find the measure of the side of \triangle L M N.
Choices:
A:9
B:10
C:11
D:12 | B | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find the measure of the side of \triangle L M N.
Choices:
A:9
B:10
C:11
D:12 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find the measure of the side of \triangle L M N.
Choices:
A:9
B:10
C:11
D:12 | Find the measure of the side of \triangle L M N.
Choices:
A:9
B:10
C:11
D:12 |
|
1386 | 278 | Text Dominant | Two triangles W in green and W' in blue are similar according to a reference point F. Find the scale factor from W to W'.
Choices:
A:\frac { 1 } { 3 }
B:\frac { 2 } { 3 }
C:\frac { 3 } { 4 }
D:\frac { 3 } { 2 } | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Two triangles W in green and W' in blue are similar according to a reference point F. Find the scale factor from W to W'.
Choices:
A:\frac { 1 } { 3 }
B:\frac { 2 } { 3 }
C:\frac { 3 } { 4 }
D:\frac { 3 } { 2 } | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Two triangles W in green and W' in blue are similar according to a reference point F. Find the scale factor from W to W'.
Choices:
A:\frac { 1 } { 3 }
B:\frac { 2 } { 3 }
C:\frac { 3 } { 4 }
D:\frac { 3 } { 2 } | Two triangles W in green and W' in blue are similar according to a reference point F. Find the scale factor from W to W'.
Choices:
A:\frac { 1 } { 3 }
B:\frac { 2 } { 3 }
C:\frac { 3 } { 4 }
D:\frac { 3 } { 2 } |
|
2312 | 463 | Text Lite | Find the centre of the figure. Write your answer in the form ( _ , _ ).
| (-3,-3) | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Analytic"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find the centre of the figure. Write your answer in the form ( _ , _ ).
| Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find the centre of the figure. Write your answer in the form ( _ , _ ).
| Find the centre of the figure. Write your answer in the form ( _ , _ ).
|
|
1205 | 241 | Vision Only | D | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | Find y.
Choices:
A:4
B:6
C:8
D:10 |
||
425 | 85 | Vision Only | D | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | As shown in the figure, the circle O is the circumscribed circle of triangle ABC and the bisector of angle BAC and angle ABC intersects at point I, then the length of DI is ()
Choices:
A:4√{3}+2
B:4√{3}+3
C:8√{3}+1
D:8√{3} |
||
2750 | 550 | Vision Only | B | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Applied"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | Elena knows that Lea has a garden with an area of 100 square meters. She does not know the specific width, $w$, and length, $l$ of the garden. The graph below represents the widths that correspond to possible lengths of Lea's garden. As the possible width of Lea's garden increases, what does its possible length approach?
Choices:
A:$\infty$
B:$\hline 0$
C:$\hline 10$
D:$\hline 120$ |
||
2468 | 494 | Vision Intensive | Write an equation for the graphed function f.
| When x<=-3 $f(x) = -x-5$, when x>3, $f(x)=x+1$ | free-form | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Expression"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Write an equation for the graphed function f.
| Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Write an equation for the graphed function f.
| Write an equation for the graphed function f.
|
|
1398 | 280 | Vision Intensive | Find x so that the quadrilateral is a parallelogram.
Choices:
A:3
B:5
C:12
D:18 | B | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find x so that the quadrilateral is a parallelogram.
Choices:
A:3
B:5
C:12
D:18 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find x so that the quadrilateral is a parallelogram.
Choices:
A:3
B:5
C:12
D:18 | Find x so that the quadrilateral is a parallelogram.
Choices:
A:3
B:5
C:12
D:18 |
|
813 | 163 | Vision Intensive | As shown in the figure, AC = 4.0, AB = 5.0, then the value of cosA is ()
Choices:
A:\frac{3}{5}
B:\frac{4}{5}
C:\frac{3}{4}
D:\frac{4}{3} | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AC = 4.0, AB = 5.0, then the value of cosA is ()
Choices:
A:\frac{3}{5}
B:\frac{4}{5}
C:\frac{3}{4}
D:\frac{4}{3} | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AC = 4.0, AB = 5.0, then the value of cosA is ()
Choices:
A:\frac{3}{5}
B:\frac{4}{5}
C:\frac{3}{4}
D:\frac{4}{3} | As shown in the figure, AC = 4.0, AB = 5.0, then the value of cosA is ()
Choices:
A:\frac{3}{5}
B:\frac{4}{5}
C:\frac{3}{4}
D:\frac{4}{3} |
|
2933 | 587 | Vision Intensive | Do the following graph have inverse functions?
Choices:
A:Yes
B:No | B | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Property"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Do the following graph have inverse functions?
Choices:
A:Yes
B:No | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Do the following graph have inverse functions?
Choices:
A:Yes
B:No | Do the following graph have inverse functions?
Choices:
A:Yes
B:No |
|
1111 | 223 | Text Dominant | There is a right triangle with the length of hypotenuse as 5 and other sides as x and 3 \sqrt { 2 }. Find x.
Choices:
A:\sqrt { 7 }
B:3 \sqrt { 2 }
C:3 \sqrt { 3 }
D:3 \sqrt { 6 } | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: There is a right triangle with the length of hypotenuse as 5 and other sides as x and 3 \sqrt { 2 }. Find x.
Choices:
A:\sqrt { 7 }
B:3 \sqrt { 2 }
C:3 \sqrt { 3 }
D:3 \sqrt { 6 } | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: There is a right triangle with the length of hypotenuse as 5 and other sides as x and 3 \sqrt { 2 }. Find x.
Choices:
A:\sqrt { 7 }
B:3 \sqrt { 2 }
C:3 \sqrt { 3 }
D:3 \sqrt { 6 } | There is a right triangle with the length of hypotenuse as 5 and other sides as x and 3 \sqrt { 2 }. Find x.
Choices:
A:\sqrt { 7 }
B:3 \sqrt { 2 }
C:3 \sqrt { 3 }
D:3 \sqrt { 6 } |
|
401 | 81 | Text Dominant | As shown in the figure, in triangle ABC, angle BAC = 90.0, AD perpendicular BC at point D, AE bisects angle DAC, angle B = 50.0, so the degree of angle DAE is ()
Choices:
A:45°
B:20°
C:30°
D:25° | D | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, in triangle ABC, angle BAC = 90.0, AD perpendicular BC at point D, AE bisects angle DAC, angle B = 50.0, so the degree of angle DAE is ()
Choices:
A:45°
B:20°
C:30°
D:25° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, in triangle ABC, angle BAC = 90.0, AD perpendicular BC at point D, AE bisects angle DAC, angle B = 50.0, so the degree of angle DAE is ()
Choices:
A:45°
B:20°
C:30°
D:25° | As shown in the figure, in triangle ABC, angle BAC = 90.0, AD perpendicular BC at point D, AE bisects angle DAC, angle B = 50.0, so the degree of angle DAE is ()
Choices:
A:45°
B:20°
C:30°
D:25° |
|
2981 | 597 | Text Dominant | A system of two equations: $x^2+y^2=9$ and $y=x^2-4$ and their graphs in the
xy-plane are shown above. How many solutions
does the system have?
Choices:
A:One
B:Two
C:Three
D:Four | D | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Property"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: A system of two equations: $x^2+y^2=9$ and $y=x^2-4$ and their graphs in the
xy-plane are shown above. How many solutions
does the system have?
Choices:
A:One
B:Two
C:Three
D:Four | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: A system of two equations: $x^2+y^2=9$ and $y=x^2-4$ and their graphs in the
xy-plane are shown above. How many solutions
does the system have?
Choices:
A:One
B:Two
C:Three
D:Four | A system of two equations: $x^2+y^2=9$ and $y=x^2-4$ and their graphs in the
xy-plane are shown above. How many solutions
does the system have?
Choices:
A:One
B:Two
C:Three
D:Four |
|
136 | 28 | Text Dominant | As shown in the figure, the right triangle ABC and the equilateral triangle ABD are respectively drawn with the line segment AB as the edge, where angle ACB = 90.0. Connect CD, when the length of CD is the largest, the size of angle CAB is ()
Choices:
A:75°
B:45°
C:30°
D:15° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, the right triangle ABC and the equilateral triangle ABD are respectively drawn with the line segment AB as the edge, where angle ACB = 90.0. Connect CD, when the length of CD is the largest, the size of angle CAB is ()
Choices:
A:75°
B:45°
C:30°
D:15° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, the right triangle ABC and the equilateral triangle ABD are respectively drawn with the line segment AB as the edge, where angle ACB = 90.0. Connect CD, when the length of CD is the largest, the size of angle CAB is ()
Choices:
A:75°
B:45°
C:30°
D:15° | As shown in the figure, the right triangle ABC and the equilateral triangle ABD are respectively drawn with the line segment AB as the edge, where angle ACB = 90.0. Connect CD, when the length of CD is the largest, the size of angle CAB is ()
Choices:
A:75°
B:45°
C:30°
D:15° |
|
2464 | 493 | Vision Dominant | Write an equation for the graphed function f. | When x<=3 $f(x)=-x+1$, when x>3, $f(x)=x-5$ | free-form | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Expression"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Write an equation for the graphed function f. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Write an equation for the graphed function f. | Write an equation for the graphed function f. |
|
2374 | 475 | Vision Dominant | Write the set of numbers represented on the number line in interval notation. | (-\infty, 4] | free-form | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Property"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Write the set of numbers represented on the number line in interval notation. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Write the set of numbers represented on the number line in interval notation. | Write the set of numbers represented on the number line in interval notation. |
|
3919 | 784 | Vision Dominant | If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?
Choices:
A.10
B.8
C.6
D.4
E.2
| D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?
Choices:
A.10
B.8
C.6
D.4
E.2
| Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?
Choices:
A.10
B.8
C.6
D.4
E.2
| If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?
Choices:
A.10
B.8
C.6
D.4
E.2
|
|
2267 | 454 | Text Lite | State the radius.
| 2 | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Analytic"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: State the radius.
| Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: State the radius.
| State the radius.
|
|
2428 | 486 | Vision Intensive | Write the domain and range of the function using interval notation.
| domain: [-6,-\frac{1}{6}] \cup[\frac{1}{6}, 6] and range: [-6,-\frac{1}{6}\right] \cup[\frac{1}{6}, 6] | free-form | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Property"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Write the domain and range of the function using interval notation.
| Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Write the domain and range of the function using interval notation.
| Write the domain and range of the function using interval notation.
|
|
3146 | 630 | Text Dominant | The Sine function is graphed. It passes through (0,0), (90,1), (180,0), (270,-1), and (360,0). It is symmetric about the origin. A black vertex labeled on the function at (90,1). Consider the graph of y=\sin x. Its first maximum point for x\ge 0 is at \left(90^\circ ,1\right).
By considering the transformation that has taken place, state the coordinates of the first maximum point of each of the given functions for x\ge 0.
y=5\sin x
| y=\sin x=\left(90^\circ ,5\right) | free-form | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Coordinate"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The Sine function is graphed. It passes through (0,0), (90,1), (180,0), (270,-1), and (360,0). It is symmetric about the origin. A black vertex labeled on the function at (90,1). Consider the graph of y=\sin x. Its first maximum point for x\ge 0 is at \left(90^\circ ,1\right).
By considering the transformation that has taken place, state the coordinates of the first maximum point of each of the given functions for x\ge 0.
y=5\sin x
| Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The Sine function is graphed. It passes through (0,0), (90,1), (180,0), (270,-1), and (360,0). It is symmetric about the origin. A black vertex labeled on the function at (90,1). Consider the graph of y=\sin x. Its first maximum point for x\ge 0 is at \left(90^\circ ,1\right).
By considering the transformation that has taken place, state the coordinates of the first maximum point of each of the given functions for x\ge 0.
y=5\sin x
| The Sine function is graphed. It passes through (0,0), (90,1), (180,0), (270,-1), and (360,0). It is symmetric about the origin. A black vertex labeled on the function at (90,1). Consider the graph of y=\sin x. Its first maximum point for x\ge 0 is at \left(90^\circ ,1\right).
By considering the transformation that has taken place, state the coordinates of the first maximum point of each of the given functions for x\ge 0.
y=5\sin x
|
|
2534 | 507 | Vision Dominant | Which of the following could be the equation of the graphed line?
Choices:
A.$3 x-8 y=24$
B.$3 x-8 y=-24$
C.$3 x+8 y=24$
D.$3 x+8 y=-24$ | B | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Expression"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Which of the following could be the equation of the graphed line?
Choices:
A.$3 x-8 y=24$
B.$3 x-8 y=-24$
C.$3 x+8 y=24$
D.$3 x+8 y=-24$ | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Which of the following could be the equation of the graphed line?
Choices:
A.$3 x-8 y=24$
B.$3 x-8 y=-24$
C.$3 x+8 y=24$
D.$3 x+8 y=-24$ | Which of the following could be the equation of the graphed line?
Choices:
A.$3 x-8 y=24$
B.$3 x-8 y=-24$
C.$3 x+8 y=24$
D.$3 x+8 y=-24$ |
|
1712 | 343 | Text Lite | Given the diagram shown, find a to the nearest degree. | 62^\circ | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Given the diagram shown, find a to the nearest degree. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Given the diagram shown, find a to the nearest degree. | Given the diagram shown, find a to the nearest degree. |
|
1981 | 397 | Text Dominant | A circle with a radius of $50 \mathrm{~cm}$. Find the area of the circle shown.
Give your answer as an exact value. | Area $=2500 \pi \mathrm{cm}^{2}$ | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A circle with a radius of $50 \mathrm{~cm}$. Find the area of the circle shown.
Give your answer as an exact value. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A circle with a radius of $50 \mathrm{~cm}$. Find the area of the circle shown.
Give your answer as an exact value. | A circle with a radius of $50 \mathrm{~cm}$. Find the area of the circle shown.
Give your answer as an exact value. |
|
410 | 82 | Vision Only | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | As shown in the figure, the line l parallel m parallel n, the vertices B and C of the triangle ABC are on the line n and line m, the angle between BC and the line n is 25.0, then the degree of angle a is ()
Choices:
A:25°
B:30°
C:35°
D:45° |
||
891 | 179 | Text Dominant | As shown in the figure, triangle ABC is the inscribed triangle of circle O, angle C = 30.0, the radius of circle O is 5.0, if point P is a point on circle O, in triangle ABP, PB = AB, then the length of PA is ( )
Choices:
A:5
B:\frac{5√{3}}{2}
C:5√{2}
D:5√{3} | D | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, triangle ABC is the inscribed triangle of circle O, angle C = 30.0, the radius of circle O is 5.0, if point P is a point on circle O, in triangle ABP, PB = AB, then the length of PA is ( )
Choices:
A:5
B:\frac{5√{3}}{2}
C:5√{2}
D:5√{3} | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, triangle ABC is the inscribed triangle of circle O, angle C = 30.0, the radius of circle O is 5.0, if point P is a point on circle O, in triangle ABP, PB = AB, then the length of PA is ( )
Choices:
A:5
B:\frac{5√{3}}{2}
C:5√{2}
D:5√{3} | As shown in the figure, triangle ABC is the inscribed triangle of circle O, angle C = 30.0, the radius of circle O is 5.0, if point P is a point on circle O, in triangle ABP, PB = AB, then the length of PA is ( )
Choices:
A:5
B:\frac{5√{3}}{2}
C:5√{2}
D:5√{3} |
|
2387 | 478 | Text Lite | Determine if this relation is a one-to-one function.
Choices:
A:This is a one-to-one function
B:This is not a one-to-one function | B | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Property"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Determine if this relation is a one-to-one function.
Choices:
A:This is a one-to-one function
B:This is not a one-to-one function | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Determine if this relation is a one-to-one function.
Choices:
A:This is a one-to-one function
B:This is not a one-to-one function | Determine if this relation is a one-to-one function.
Choices:
A:This is a one-to-one function
B:This is not a one-to-one function |
|
2241 | 449 | Text Dominant | A circle the center of the circle is the origin and the radius of the circle is 1. The point $P$ on the unit circle has the coordinates $(x, y)$. What is the value of $\sec \theta$ ?
Choices:
A:$\frac{1}{x}$
B:$x$
C:$y$
D:$\frac{1}{y}$ | A | multi-choice | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Analytic"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: A circle the center of the circle is the origin and the radius of the circle is 1. The point $P$ on the unit circle has the coordinates $(x, y)$. What is the value of $\sec \theta$ ?
Choices:
A:$\frac{1}{x}$
B:$x$
C:$y$
D:$\frac{1}{y}$ | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: A circle the center of the circle is the origin and the radius of the circle is 1. The point $P$ on the unit circle has the coordinates $(x, y)$. What is the value of $\sec \theta$ ?
Choices:
A:$\frac{1}{x}$
B:$x$
C:$y$
D:$\frac{1}{y}$ | A circle the center of the circle is the origin and the radius of the circle is 1. The point $P$ on the unit circle has the coordinates $(x, y)$. What is the value of $\sec \theta$ ?
Choices:
A:$\frac{1}{x}$
B:$x$
C:$y$
D:$\frac{1}{y}$ |
|
3528 | 706 | Vision Intensive | Find the total surface area of the solid figure shown. | 608 \mathrm{cm}^2 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find the total surface area of the solid figure shown. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find the total surface area of the solid figure shown. | Find the total surface area of the solid figure shown. |
|
2986 | 598 | Text Dominant | The figure has two segments. Use the vertical line test to determine whether the curve is the graph of a function.
Choices:
A:Yes
B:No | A | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Property"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: The figure has two segments. Use the vertical line test to determine whether the curve is the graph of a function.
Choices:
A:Yes
B:No | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The figure has two segments. Use the vertical line test to determine whether the curve is the graph of a function.
Choices:
A:Yes
B:No | The figure has two segments. Use the vertical line test to determine whether the curve is the graph of a function.
Choices:
A:Yes
B:No |
|
3373 | 675 | Vision Intensive | The height of solid figure is 22 cm.
Hence, find the total surface area of the shape.
Give our answer to two decimal places. | Total surface area $=4194.03 \mathrm{~cm}^{2}$ | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The height of solid figure is 22 cm.
Hence, find the total surface area of the shape.
Give our answer to two decimal places. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The height of solid figure is 22 cm.
Hence, find the total surface area of the shape.
Give our answer to two decimal places. | The height of solid figure is 22 cm.
Hence, find the total surface area of the shape.
Give our answer to two decimal places. |
|
3739 | 748 | Vision Dominant | The following is a right pyramid on a square base. A right pyramid has its apex aligned directly above the centre of its base.
Use your answer from part (a) to find the length of VW, the perpendicular height of the pyramid correct to two decimal places. | 23.41 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The following is a right pyramid on a square base. A right pyramid has its apex aligned directly above the centre of its base.
Use your answer from part (a) to find the length of VW, the perpendicular height of the pyramid correct to two decimal places. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The following is a right pyramid on a square base. A right pyramid has its apex aligned directly above the centre of its base.
Use your answer from part (a) to find the length of VW, the perpendicular height of the pyramid correct to two decimal places. | The following is a right pyramid on a square base. A right pyramid has its apex aligned directly above the centre of its base.
Use your answer from part (a) to find the length of VW, the perpendicular height of the pyramid correct to two decimal places. |
|
789 | 158 | Vision Dominant | As shown in the figure, then the value of sinB is equal to ()
Choices:
A:\frac{4}{3}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{3}{5} | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, then the value of sinB is equal to ()
Choices:
A:\frac{4}{3}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{3}{5} | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, then the value of sinB is equal to ()
Choices:
A:\frac{4}{3}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{3}{5} | As shown in the figure, then the value of sinB is equal to ()
Choices:
A:\frac{4}{3}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{3}{5} |
|
3331 | 667 | Text Dominant | In this question we will find the surface area of the following solid hemispher with a radius of 6:
What is the area of the circular base of the hemisphere?
Round your answer to three decimal places. | Area $=113.097$ units $^{2}$ | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: In this question we will find the surface area of the following solid hemispher with a radius of 6:
What is the area of the circular base of the hemisphere?
Round your answer to three decimal places. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: In this question we will find the surface area of the following solid hemispher with a radius of 6:
What is the area of the circular base of the hemisphere?
Round your answer to three decimal places. | In this question we will find the surface area of the following solid hemispher with a radius of 6:
What is the area of the circular base of the hemisphere?
Round your answer to three decimal places. |
|
3295 | 659 | Vision Only | $h=58$ | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | Find the height $h$ mm of this closed cylinder if its surface area (S) is 27288(mm)$^2$.
Round your answer to the nearest whole number. |
||
1119 | 224 | Vision Dominant | In the figure, a regular polygon is within in a circle. Find the measure of a central angle.
Choices:
A:30
B:60
C:90
D:120 | B | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure, a regular polygon is within in a circle. Find the measure of a central angle.
Choices:
A:30
B:60
C:90
D:120 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure, a regular polygon is within in a circle. Find the measure of a central angle.
Choices:
A:30
B:60
C:90
D:120 | In the figure, a regular polygon is within in a circle. Find the measure of a central angle.
Choices:
A:30
B:60
C:90
D:120 |
|
1362 | 273 | Text Lite | Q N and P O are parallel. M Q = 5, M N = 6. Find Q P.
Choices:
A:2
B:3.6
C:5
D:6 | B | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Q N and P O are parallel. M Q = 5, M N = 6. Find Q P.
Choices:
A:2
B:3.6
C:5
D:6 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Q N and P O are parallel. M Q = 5, M N = 6. Find Q P.
Choices:
A:2
B:3.6
C:5
D:6 | Q N and P O are parallel. M Q = 5, M N = 6. Find Q P.
Choices:
A:2
B:3.6
C:5
D:6 |
|
2593 | 519 | Vision Intensive | The function $f(x)=5 x-x^2$ gives the number of mosquitos in the forest (in millions), and the function $g(x)=3 x-0.5 x^2$ gives the number of bats (in millions). In both equations $x$ represents rainfall (in centimeters). When there is $0 \mathrm{~cm}$ of rainfall, the number of mosquitos is the same as the number of bats. What is another rainfall amount where the number of mosquitos is the same as the number of bats?
Round your answer to the nearest half centimeter.
| 4 | free-form | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Applied"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The function $f(x)=5 x-x^2$ gives the number of mosquitos in the forest (in millions), and the function $g(x)=3 x-0.5 x^2$ gives the number of bats (in millions). In both equations $x$ represents rainfall (in centimeters). When there is $0 \mathrm{~cm}$ of rainfall, the number of mosquitos is the same as the number of bats. What is another rainfall amount where the number of mosquitos is the same as the number of bats?
Round your answer to the nearest half centimeter.
| Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The function $f(x)=5 x-x^2$ gives the number of mosquitos in the forest (in millions), and the function $g(x)=3 x-0.5 x^2$ gives the number of bats (in millions). In both equations $x$ represents rainfall (in centimeters). When there is $0 \mathrm{~cm}$ of rainfall, the number of mosquitos is the same as the number of bats. What is another rainfall amount where the number of mosquitos is the same as the number of bats?
Round your answer to the nearest half centimeter.
| The function $f(x)=5 x-x^2$ gives the number of mosquitos in the forest (in millions), and the function $g(x)=3 x-0.5 x^2$ gives the number of bats (in millions). In both equations $x$ represents rainfall (in centimeters). When there is $0 \mathrm{~cm}$ of rainfall, the number of mosquitos is the same as the number of bats. What is another rainfall amount where the number of mosquitos is the same as the number of bats?
Round your answer to the nearest half centimeter.
|
|
3386 | 678 | Text Dominant | The following is a right pyramid on a square base with side length 12cm. A right pyramid has its apex aligned directly above the centre of its base.
The edge length VA is 23cm.
Now, if the size of \angle VAW is \theta °, find \theta to two decimal places. | 68.34 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The following is a right pyramid on a square base with side length 12cm. A right pyramid has its apex aligned directly above the centre of its base.
The edge length VA is 23cm.
Now, if the size of \angle VAW is \theta °, find \theta to two decimal places. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The following is a right pyramid on a square base with side length 12cm. A right pyramid has its apex aligned directly above the centre of its base.
The edge length VA is 23cm.
Now, if the size of \angle VAW is \theta °, find \theta to two decimal places. | The following is a right pyramid on a square base with side length 12cm. A right pyramid has its apex aligned directly above the centre of its base.
The edge length VA is 23cm.
Now, if the size of \angle VAW is \theta °, find \theta to two decimal places. |
|
878 | 176 | Vision Intensive | As shown in the figure, the known chord BC = 8.0, DE = 6.0, angle BAC + angle EAD = 180.0, then the radius of circle A is ()
Choices:
A:10
B:6
C:5
D:8 | C | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, the known chord BC = 8.0, DE = 6.0, angle BAC + angle EAD = 180.0, then the radius of circle A is ()
Choices:
A:10
B:6
C:5
D:8 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, the known chord BC = 8.0, DE = 6.0, angle BAC + angle EAD = 180.0, then the radius of circle A is ()
Choices:
A:10
B:6
C:5
D:8 | As shown in the figure, the known chord BC = 8.0, DE = 6.0, angle BAC + angle EAD = 180.0, then the radius of circle A is ()
Choices:
A:10
B:6
C:5
D:8 |
|
2119 | 424 | Vision Dominant | Calculate the area of the following triangle.
Round your answer to two decimal places. | 60.21 \mathrm{m}^2 | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Calculate the area of the following triangle.
Round your answer to two decimal places. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Calculate the area of the following triangle.
Round your answer to two decimal places. | Calculate the area of the following triangle.
Round your answer to two decimal places. |
|
1512 | 303 | Text Lite | \triangle R S T \cong \triangle A B C. Find x.
Choices:
A:8
B:10
C:13
D:21 | B | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: \triangle R S T \cong \triangle A B C. Find x.
Choices:
A:8
B:10
C:13
D:21 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: \triangle R S T \cong \triangle A B C. Find x.
Choices:
A:8
B:10
C:13
D:21 | \triangle R S T \cong \triangle A B C. Find x.
Choices:
A:8
B:10
C:13
D:21 |
|
2524 | 505 | Vision Dominant | Write an equation for the transformation of f(x)=|x| as shown in the figure. | f(x)=\frac{1}{2}|x+2|+1 | free-form | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Expression"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Write an equation for the transformation of f(x)=|x| as shown in the figure. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Write an equation for the transformation of f(x)=|x| as shown in the figure. | Write an equation for the transformation of f(x)=|x| as shown in the figure. |
|
3315 | 663 | Vision Only | Surface area $=2 \pi(R+r)(L+R-r)$ square units | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | Write an equation for the surface area of the above cylinder. You must factorise this expression fully. |
||
1867 | 374 | Text Lite | Consider the adjacent figure:
Solve for the exact value of x. | \frac{\sqrt{30}}{2} | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Consider the adjacent figure:
Solve for the exact value of x. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Consider the adjacent figure:
Solve for the exact value of x. | Consider the adjacent figure:
Solve for the exact value of x. |
|
2936 | 588 | Text Dominant | The graphs of logarithm function $f(x)=\ln x$ passing (1,4) and logarithm function $g(x)$ passing (1,0) are shown below. $g(x)$ is a transformation of $f(x)$.
Hence state the equation of $g(x)$.
| $g(x)=\ln x+4$ | free-form | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Expression"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The graphs of logarithm function $f(x)=\ln x$ passing (1,4) and logarithm function $g(x)$ passing (1,0) are shown below. $g(x)$ is a transformation of $f(x)$.
Hence state the equation of $g(x)$.
| Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The graphs of logarithm function $f(x)=\ln x$ passing (1,4) and logarithm function $g(x)$ passing (1,0) are shown below. $g(x)$ is a transformation of $f(x)$.
Hence state the equation of $g(x)$.
| The graphs of logarithm function $f(x)=\ln x$ passing (1,4) and logarithm function $g(x)$ passing (1,0) are shown below. $g(x)$ is a transformation of $f(x)$.
Hence state the equation of $g(x)$.
|
|
1012 | 203 | Text Lite | Find the value of x in the diagram.
Choices:
A:68
B:78
C:79
D:136 | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find the value of x in the diagram.
Choices:
A:68
B:78
C:79
D:136 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find the value of x in the diagram.
Choices:
A:68
B:78
C:79
D:136 | Find the value of x in the diagram.
Choices:
A:68
B:78
C:79
D:136 |
|
2860 | 572 | Vision Only | C | multi-choice | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Property"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | f(x)=-5(x+4)^2+8. Which function has a greater maximum, f(x) or g(x)?
Choices:
A:$f$ has a greater maximum than $g$.
B:$g$ has a greater maximum than $f$.
C:$f$ and $g$ share the same maximum. |
||
3368 | 674 | Vision Intensive | A solid with a radius of 2.5cm and a height of 10cm contains balls. What is the surface area of each ball? Give your answer correct to one decimal place. | Surface area $=78.5 \mathrm{~cm}^{2}$ | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A solid with a radius of 2.5cm and a height of 10cm contains balls. What is the surface area of each ball? Give your answer correct to one decimal place. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A solid with a radius of 2.5cm and a height of 10cm contains balls. What is the surface area of each ball? Give your answer correct to one decimal place. | A solid with a radius of 2.5cm and a height of 10cm contains balls. What is the surface area of each ball? Give your answer correct to one decimal place. |
|
69 | 14 | Vision Dominant | As shown in the figure, triangle ABC is the inscribed triangle of circle O, then the degree of angle ACB is ()
Choices:
A:35°
B:55°
C:60°
D:70° | B | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, triangle ABC is the inscribed triangle of circle O, then the degree of angle ACB is ()
Choices:
A:35°
B:55°
C:60°
D:70° | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, triangle ABC is the inscribed triangle of circle O, then the degree of angle ACB is ()
Choices:
A:35°
B:55°
C:60°
D:70° | As shown in the figure, triangle ABC is the inscribed triangle of circle O, then the degree of angle ACB is ()
Choices:
A:35°
B:55°
C:60°
D:70° |
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