sample_index stringlengths 1 4 | problem_index stringlengths 1 3 | problem_version stringclasses 5
values | question stringlengths 0 707 | image imagewidth (px) 69 2.94k | answer stringlengths 1 102 | question_type stringclasses 2
values | metadata dict | query_wo stringlengths 101 810 | query_cot stringlengths 138 847 | question_for_eval stringlengths 7 707 |
|---|---|---|---|---|---|---|---|---|---|---|
455 | 91 | Vision Only | B | 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, arc AD = arc CD. Then angle DAC is equal to ()
Choices:
A:70°
B:45°
C:30°
D:25° | ||
1491 | 299 | Text Dominant | In the right isosceles triangle, the hypotenuse is 20. Find x. Round to the nearest tenth.
Choices:
A:1.4
B:7.1
C:14.1
D:15.6 | 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 right isosceles triangle, the hypotenuse is 20. Find x. Round to the nearest tenth.
Choices:
A:1.4
B:7.1
C:14.1
D:15.6 | 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: In the right isosceles triangle, the hypotenuse is 20. Find x. Round to the nearest tenth.
Choices:
A:1.4
B:7.1
C:14.1
D:15.6 | In the right isosceles triangle, the hypotenuse is 20. Find x. Round to the nearest tenth.
Choices:
A:1.4
B:7.1
C:14.1
D:15.6 | |
79 | 16 | Vision Dominant | As shown in the figure, chord AC parallel radius OB, then the degree of angle OAB is ()
Choices:
A:25°
B:50°
C:60°
D:30° | 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 AC parallel radius OB, then the degree of angle OAB is ()
Choices:
A:25°
B:50°
C:60°
D:30° | 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 AC parallel radius OB, then the degree of angle OAB is ()
Choices:
A:25°
B:50°
C:60°
D:30° | As shown in the figure, chord AC parallel radius OB, then the degree of angle OAB is ()
Choices:
A:25°
B:50°
C:60°
D:30° | |
3038 | 608 | Vision Intensive | What is the average rate of change in the graph?
| $\frac{1}{2000}$ | 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: What is the average rate of change in the graph?
| Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: What is the average rate of change in the graph?
| What is the average rate of change in the graph?
| |
620 | 124 | Vision Only | B | 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, then the radius of the sector is ()
Choices:
A:2
B:4
C:6
D:8 | ||
3251 | 651 | Text Dominant | The radius of the sphere is 8.8 centimeters. Find the volume of the sphere, giving your answer correct to two decimal places. | Volume $=2854.54 \mathrm{~cm}^{3}$ | 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: The radius of the sphere is 8.8 centimeters. Find the volume of the sphere, giving your answer 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 radius of the sphere is 8.8 centimeters. Find the volume of the sphere, giving your answer correct to two decimal places. | The radius of the sphere is 8.8 centimeters. Find the volume of the sphere, giving your answer correct to two decimal places. | |
2221 | 445 | Text Dominant | The graph shows an angle $a$ in standard position with its terminal side intersecting the circle at $P\left(-\frac{21}{29}, \frac{20}{29}\right)$. The center of the circle is the origin and the radius of the circle is 1.
Find the value of $\sin a$.
| $\frac{20}{29}$ | 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: The graph shows an angle $a$ in standard position with its terminal side intersecting the circle at $P\left(-\frac{21}{29}, \frac{20}{29}\right)$. The center of the circle is the origin and the radius of the circle is 1.
Find... | 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 graph shows an angle $a$ in standard position with its terminal side intersecting the circle at $P\left(-\frac{21}{29}, \frac{20}{29}\right)$. The center of the circle is the origin and... | The graph shows an angle $a$ in standard position with its terminal side intersecting the circle at $P\left(-\frac{21}{29}, \frac{20}{29}\right)$. The center of the circle is the origin and the radius of the circle is 1.
Find the value of $\sin a$.
| |
101 | 21 | Text Dominant | As shown in the figure, it is known that angle 1 = angle 2 = angle 3 = 55.0, then the degree of angle 4 is ()
Choices:
A:110°
B:115°
C:120°
D:125° | 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 angle 1 = angle 2 = angle 3 = 55.0, then the degree of angle 4 is ()
Choices:
A:110°
B:115°
C:120°
D:125° | 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 angle 1 = angle 2 = angle 3 = 55.0, then the degree of angle 4 is ()
Choices:
A:110°
B:115°
C:120°
D:125° | As shown in the figure, it is known that angle 1 = angle 2 = angle 3 = 55.0, then the degree of angle 4 is ()
Choices:
A:110°
B:115°
C:120°
D:125° | |
2073 | 415 | Vision Intensive | Calculate the area of the following sector.
Round your answer to one decimal place. | Area $=315.4 \mathrm{~m}^{2}$ | 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 sector.
Round your answer 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: Calculate the area of the following sector.
Round your answer to one decimal place. | Calculate the area of the following sector.
Round your answer to one decimal place. | |
783 | 157 | Vision Intensive | As shown in the figure, if AC = 4.0, BC = 3.0, then cosB is equal to ()
Choices:
A:\frac{3}{5}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{4}{3} | 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, if AC = 4.0, BC = 3.0, then cosB is equal to ()
Choices:
A:\frac{3}{5}
B:\frac{3}{4}
C:\frac{4}{5}
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, if AC = 4.0, BC = 3.0, then cosB is equal to ()
Choices:
A:\frac{3}{5}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{4}{3} | As shown in the figure, if AC = 4.0, BC = 3.0, then cosB is equal to ()
Choices:
A:\frac{3}{5}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{4}{3} | |
1719 | 344 | Vision Dominant | Find the size of the angle marked b to one decimal place. | 53.6^\circ | 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 size of the angle marked b 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: Find the size of the angle marked b to one decimal place. | Find the size of the angle marked b to one decimal place. | |
3046 | 610 | Text Dominant | The graph shows the number of earthquakes in a particular country. The x-axis represents years, and the y-axis represents the number of earthquakes.
What is the average rate of change?
| 0 | 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 graph shows the number of earthquakes in a particular country. The x-axis represents years, and the y-axis represents the number of earthquakes.
What is the average rate of change?
| 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 graph shows the number of earthquakes in a particular country. The x-axis represents years, and the y-axis represents the number of earthquakes.
What is the average rate of change?
| The graph shows the number of earthquakes in a particular country. The x-axis represents years, and the y-axis represents the number of earthquakes.
What is the average rate of change?
| |
1905 | 381 | Vision Only | 22 | free-form | {
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Length"
} | 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. | Solve for the unknown w. | ||
1013 | 203 | Vision Intensive | 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 | |
353 | 71 | Vision Intensive | As shown in the figure, if angle 1 = 42.0, angle BAC = 78.0, then the degree of angle 2 is ()
Choices:
A:42°
B:50°
C:60°
D:68° | 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, if angle 1 = 42.0, angle BAC = 78.0, then the degree of angle 2 is ()
Choices:
A:42°
B:50°
C:60°
D:68° | 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 angle 1 = 42.0, angle BAC = 78.0, then the degree of angle 2 is ()
Choices:
A:42°
B:50°
C:60°
D:68° | As shown in the figure, if angle 1 = 42.0, angle BAC = 78.0, then the degree of angle 2 is ()
Choices:
A:42°
B:50°
C:60°
D:68° | |
3694 | 739 | Vision Dominant | A pyramid has been removed from a rectangular prism, as shown in the figure. Find the volume of this composite solid. | 720 \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: A pyramid has been removed from a rectangular prism, as shown in the figure. Find the volume of this composite 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: A pyramid has been removed from a rectangular prism, as shown in the figure. Find the volume of this composite solid. | A pyramid has been removed from a rectangular prism, as shown in the figure. Find the volume of this composite solid. | |
1813 | 363 | Vision Intensive | Two flag posts are erected vertically. Find l, the length of the string (in metres) needed to join the tops of the two posts, correct to one decimal place. | 21.6 | 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: Two flag posts are erected vertically. Find l, the length of the string (in metres) needed to join the tops of the two posts, 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: Two flag posts are erected vertically. Find l, the length of the string (in metres) needed to join the tops of the two posts, correct to one decimal place. | Two flag posts are erected vertically. Find l, the length of the string (in metres) needed to join the tops of the two posts, correct to one decimal place. | |
2364 | 473 | Vision Dominant | A cake maker has rectangular boxes. She often receives orders for cakes in the shape of an ellipse, and wants to determine the largest possible cake that can be made to fit inside the rectangular box.
State the coordinates of the center of the cake in the form $(a, b)$. | Center $=(20,10)$ | 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: A cake maker has rectangular boxes. She often receives orders for cakes in the shape of an ellipse, and wants to determine the largest possible cake that can be made to fit inside the rectangular box.
State the coordinates of... | 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 cake maker has rectangular boxes. She often receives orders for cakes in the shape of an ellipse, and wants to determine the largest possible cake that can be made to fit inside the recta... | A cake maker has rectangular boxes. She often receives orders for cakes in the shape of an ellipse, and wants to determine the largest possible cake that can be made to fit inside the rectangular box.
State the coordinates of the center of the cake in the form $(a, b)$. | |
1144 | 229 | Vision Dominant | Let A B be the median of trapezoid R S T Q. Find A B.
Choices:
A:27
B:54
C:70
D:86 | 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: Let A B be the median of trapezoid R S T Q. Find A B.
Choices:
A:27
B:54
C:70
D:86 | 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: Let A B be the median of trapezoid R S T Q. Find A B.
Choices:
A:27
B:54
C:70
D:86 | Let A B be the median of trapezoid R S T Q. Find A B.
Choices:
A:27
B:54
C:70
D:86 | |
2759 | 552 | Vision 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 $C=20+20 \cdot 0.88^T$. She wanted to graph the relationship over the first half hour. Here is her work: What mistakes did Ashlynn make when drawing the... | 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 $C=20+20 \cdot 0.88^T$. She wanted to graph the r... | 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 \cd... | 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 $C=20+20 \cdot 0.88^T$. She wanted to graph the relationship over the first half hour. Here is her work: What mistakes did Ashlynn make when drawing the... | |
3461 | 693 | Text Dominant | An empty glass jar weighing 250g is in the shape of a cylinder which has a radius (r) of 15 cm and a height (h) of 26 cm.
Calculate its total weight when it is filled with water, correct to 2 decimal places. | Weight $=18.63 \mathrm{~kg}$ | 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: An empty glass jar weighing 250g is in the shape of a cylinder which has a radius (r) of 15 cm and a height (h) of 26 cm.
Calculate its total weight when it is filled with water, correct to 2 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: An empty glass jar weighing 250g is in the shape of a cylinder which has a radius (r) of 15 cm and a height (h) of 26 cm.
Calculate its total weight when it is filled with water, correct t... | An empty glass jar weighing 250g is in the shape of a cylinder which has a radius (r) of 15 cm and a height (h) of 26 cm.
Calculate its total weight when it is filled with water, correct to 2 decimal places. | |
3034 | 607 | Vision Dominant | What does the graph tell you?
Choices:
A:The cost of a call increases by $\$ 0.90$ for each additional minute
B:Each additional dollar will buy an additional 0.9 minutes of call time
C:The cost of a call decreases by $\$ 0.90$ for each additional minute
D:Each additional dollar will buy 0.9 minutes less of call time th... | A | 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: What does the graph tell you?
Choices:
A:The cost of a call increases by $\$ 0.90$ for each additional minute
B:Each additional dollar will buy an additional 0.9 minutes of call time
C:The cost of a call decreases by ... | 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: What does the graph tell you?
Choices:
A:The cost of a call increases by $\$ 0.90$ for each additional minute
B:Each additional dollar will buy an additional 0.9 minutes of call ti... | What does the graph tell you?
Choices:
A:The cost of a call increases by $\$ 0.90$ for each additional minute
B:Each additional dollar will buy an additional 0.9 minutes of call time
C:The cost of a call decreases by $\$ 0.90$ for each additional minute
D:Each additional dollar will buy 0.9 minutes less of call time th... | |
2743 | 549 | Vision Intensive | There is a function $h(t)$, where $t$ corresponds to the number of hours after 12:00 a.m. According to Takoda's research, approximately how much time passes between two consecutive high tides?
| 12.5 | 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: There is a function $h(t)$, where $t$ corresponds to the number of hours after 12:00 a.m. According to Takoda's research, approximately how much time passes between two consecutive high tides?
| Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: There is a function $h(t)$, where $t$ corresponds to the number of hours after 12:00 a.m. According to Takoda's research, approximately how much time passes between two consecutive high tid... | There is a function $h(t)$, where $t$ corresponds to the number of hours after 12:00 a.m. According to Takoda's research, approximately how much time passes between two consecutive high tides?
| |
1989 | 398 | Vision Dominant | Find the area of the circle shown.
Give your answer as an exact value. | Area $=\frac{\pi}{25} \mathrm{~cm}^{2}$ | 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. | |
3687 | 738 | Text Lite | As shown in the figure, the solid is constructed by a cone and semi-sphere. The height of the cone is 12cm. Find the volume of the composite figure shown, correct to two decimal places. | 169.65 \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 solid is constructed by a cone and semi-sphere. The height of the cone is 12cm. Find the volume of the composite figure shown, 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: As shown in the figure, the solid is constructed by a cone and semi-sphere. The height of the cone is 12cm. Find the volume of the composite figure shown, correct to two decimal places. | As shown in the figure, the solid is constructed by a cone and semi-sphere. The height of the cone is 12cm. Find the volume of the composite figure shown, correct to two decimal places. | |
1874 | 375 | Vision Dominant | Consider the adjacent figure:
Solve for the exact value of x. | 4\sqrt{6} | 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. | |
1490 | 298 | 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. | Find J K.
Choices:
A:12.6
B:14.6
C:20.6
D:30.6 | ||
1999 | 400 | Vision Dominant | Find the area of the shape shown.
Give your answer as an exact value. | Area $=\frac{121 \pi}{4} \mathrm{~m}^{2}$ | 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: Find the area of the shape 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 shape shown.
Give your answer as an exact value. | Find the area of the shape shown.
Give your answer as an exact value. | |
3755 | 751 | Vision Only | C | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid 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. | In the cylindrical tube shown above, the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a rectangle, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38 | ||
914 | 183 | Vision Dominant | As shown in the figure, then PC is ()
Choices:
A:4
B:4√{3}
C:6
D:2√{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, then PC is ()
Choices:
A:4
B:4√{3}
C:6
D:2√{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, then PC is ()
Choices:
A:4
B:4√{3}
C:6
D:2√{3} | As shown in the figure, then PC is ()
Choices:
A:4
B:4√{3}
C:6
D:2√{3} | |
3695 | 739 | Vision Only | 720 \mathrm{cm}^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. | A pyramid has been removed from a rectangular prism, as shown in the figure. Find the volume of this composite solid. | ||
1697 | 340 | Text Lite | Find the true bearing of point B from point C.
Choice:
A. 053 ^\circ T
B. 082 ^\circ T
C. 045 ^\circ T
D. 037 ^\circ T | 053 ^\circ T | multi-choice | {
"split": "testmini",
"source": "Geo2D_collected",
"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 true bearing of point B from point C.
Choice:
A. 053 ^\circ T
B. 082 ^\circ T
C. 045 ^\circ T
D. 037 ^\circ T | 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 true bearing of point B from point C.
Choice:
A. 053 ^\circ T
B. 082 ^\circ T
C. 045 ^\circ T
D. 037 ^\circ T | Find the true bearing of point B from point C.
Choice:
A. 053 ^\circ T
B. 082 ^\circ T
C. 045 ^\circ T
D. 037 ^\circ T | |
513 | 103 | Vision Intensive | As shown in the figure, and it is known that angle ABC = 130.0, then angle AOC = ()
Choices:
A:100°
B:110°
C:120°
D:130° | 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, and it is known that angle ABC = 130.0, then angle AOC = ()
Choices:
A:100°
B:110°
C:120°
D:130° | 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, and it is known that angle ABC = 130.0, then angle AOC = ()
Choices:
A:100°
B:110°
C:120°
D:130° | As shown in the figure, and it is known that angle ABC = 130.0, then angle AOC = ()
Choices:
A:100°
B:110°
C:120°
D:130° | |
1748 | 350 | Vision Intensive | Now find the distance covered by the jet in one minute with a length of AB.
Round your answer to the nearest meter. | 1688 | 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: Now find the distance covered by the jet in one minute with a length of AB.
Round your answer to the nearest meter. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Now find the distance covered by the jet in one minute with a length of AB.
Round your answer to the nearest meter. | Now find the distance covered by the jet in one minute with a length of AB.
Round your answer to the nearest meter. | |
608 | 122 | Vision Intensive | As shown in the figure, a sector with a central angle of 120.0 and a radius of 6.0, then the height of the cone is ()
Choices:
A:6
B:8
C:3√{3}
D:4√{2} | 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, a sector with a central angle of 120.0 and a radius of 6.0, then the height of the cone is ()
Choices:
A:6
B:8
C:3√{3}
D:4√{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: As shown in the figure, a sector with a central angle of 120.0 and a radius of 6.0, then the height of the cone is ()
Choices:
A:6
B:8
C:3√{3}
D:4√{2} | As shown in the figure, a sector with a central angle of 120.0 and a radius of 6.0, then the height of the cone is ()
Choices:
A:6
B:8
C:3√{3}
D:4√{2} | |
2951 | 591 | Text Dominant | The line passes (0,2), (1,0). What is the slope of the line?
| -2 | 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: The line passes (0,2), (1,0). What is the slope of the line?
| 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 line passes (0,2), (1,0). What is the slope of the line?
| The line passes (0,2), (1,0). What is the slope of the line?
| |
3179 | 636 | Vision Dominant | The radius of the base of the cone is denoted by $r$.
Find the value of $r$. | $r=5$ | 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 radius of the base of the cone is denoted by $r$.
Find the value of $r$. | 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 radius of the base of the cone is denoted by $r$.
Find the value of $r$. | The radius of the base of the cone is denoted by $r$.
Find the value of $r$. | |
1979 | 396 | Vision Dominant | 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. | |
1834 | 367 | Vision Dominant | Find h to one decimal place. | 4.4 | 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 h 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: Find h to one decimal place. | Find h to one decimal place. | |
2853 | 571 | Vision Intensive | Find the equation of the dashed line. Use exact numbers.
| g(x)=-x^2 | 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: Find the equation of the dashed line. Use exact numbers.
| 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 equation of the dashed line. Use exact numbers.
| Find the equation of the dashed line. Use exact numbers.
| |
2752 | 551 | Text Lite | Catalina modeled the relationship between the number of months $T$ since she opened the restaurant and its profit $P$ (in dollars, measured as income minus expenses) as
$$
P=80(T-4)^2-300 \text {. }
$$ She wanted to create a graph to show the restaurant's profits over the first year. Here is her work: What mistakes did... | B | 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: Catalina modeled the relationship between the number of months $T$ since she opened the restaurant and its profit $P$ (in dollars, measured as income minus expenses) as
$$
P=80(T-4)^2-300 \text {. }
$$ She wanted to 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: Catalina modeled the relationship between the number of months $T$ since she opened the restaurant and its profit $P$ (in dollars, measured as income minus expenses) as
$$
P=80(T-4... | Catalina modeled the relationship between the number of months $T$ since she opened the restaurant and its profit $P$ (in dollars, measured as income minus expenses) as
$$
P=80(T-4)^2-300 \text {. }
$$ She wanted to create a graph to show the restaurant's profits over the first year. Here is her work: What mistakes did... | |
3132 | 627 | Text Lite | Two linear functions are graphed.Consider the graph of $y=x-4$.
State the coordinates of the $x$-intercept in the form $(a, b)$.
| $(4,0)$ | 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: Two linear functions are graphed.Consider the graph of $y=x-4$.
State the coordinates of the $x$-intercept in the form $(a, b)$.
| Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Two linear functions are graphed.Consider the graph of $y=x-4$.
State the coordinates of the $x$-intercept in the form $(a, b)$.
| Two linear functions are graphed.Consider the graph of $y=x-4$.
State the coordinates of the $x$-intercept in the form $(a, b)$.
| |
3600 | 720 | Vision Only | 100 | 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. | Two similar cylinders as shown in the figure, find the fully simplified ratio of the volume of the larger cylinder to the volume of the smaller cylinder. | ||
232 | 47 | Text Lite | As shown in the figure, the straight line AB parallel CD, then angle 1 is equal to ()
Choices:
A:132°
B:134°
C:136°
D:138° | 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 straight line AB parallel CD, then angle 1 is equal to ()
Choices:
A:132°
B:134°
C:136°
D:138° | 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 straight line AB parallel CD, then angle 1 is equal to ()
Choices:
A:132°
B:134°
C:136°
D:138° | As shown in the figure, the straight line AB parallel CD, then angle 1 is equal to ()
Choices:
A:132°
B:134°
C:136°
D:138° | |
2856 | 572 | Text Dominant | g(x) is shown in the figure, which is a quadratic function opening downward with a vertex of (-8,8). f(x)=-5(x+4)^2+8. Which function has a greater maximum?
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. | C | 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: g(x) is shown in the figure, which is a quadratic function opening downward with a vertex of (-8,8). f(x)=-5(x+4)^2+8. Which function has a greater maximum?
Choices:
A:$f$ has a greater maximum than $g$.
B:$g$ has a g... | 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: g(x) is shown in the figure, which is a quadratic function opening downward with a vertex of (-8,8). f(x)=-5(x+4)^2+8. Which function has a greater maximum?
Choices:
A:$f$ has a gr... | g(x) is shown in the figure, which is a quadratic function opening downward with a vertex of (-8,8). f(x)=-5(x+4)^2+8. Which function has a greater maximum?
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. | |
32 | 7 | Text Lite | As shown in the figure, triangle ABC congruent triangle ADE, if angle B = 70.0, angle C = 30.0, angle DAC = 35.0, then the degree of angle EAC is ()
Choices:
A:40°
B:45°
C:35°
D:25° | 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 congruent triangle ADE, if angle B = 70.0, angle C = 30.0, angle DAC = 35.0, then the degree of angle EAC is ()
Choices:
A:40°
B:45°
C:35°
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, triangle ABC congruent triangle ADE, if angle B = 70.0, angle C = 30.0, angle DAC = 35.0, then the degree of angle EAC is ()
Choices:
A:40°
B:45°
C:35°
D:25... | As shown in the figure, triangle ABC congruent triangle ADE, if angle B = 70.0, angle C = 30.0, angle DAC = 35.0, then the degree of angle EAC is ()
Choices:
A:40°
B:45°
C:35°
D:25° | |
1717 | 344 | Text Lite | Find the size of the angle marked b to one decimal place. | 53.6^\circ | 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 size of the angle marked b 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: Find the size of the angle marked b to one decimal place. | Find the size of the angle marked b to one decimal place. | |
1947 | 390 | Text Lite | What is the radius $r$ of the circle?
Round your answer to two decimal places. | $$r=7.00$$ | 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: What is the radius $r$ of the circle?
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: What is the radius $r$ of the circle?
Round your answer to two decimal places. | What is the radius $r$ of the circle?
Round your answer to two decimal places. | |
530 | 106 | Vision Only | B | 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. | then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36° | ||
3088 | 618 | Vision Intensive | Consider the graph shown.
Which of the following relationships could be represented by the given graph?
Choices:
A:The number of people $(y)$ attending a parent/teacher conference when there are $x$ parents, each bringing 2 children.
B:The number of layers $(y)$ resulting from a rectangular piece of paper being folded... | B | 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: Consider the graph shown.
Which of the following relationships could be represented by the given graph?
Choices:
A:The number of people $(y)$ attending a parent/teacher conference when there are $x$ parents, each bri... | 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: Consider the graph shown.
Which of the following relationships could be represented by the given graph?
Choices:
A:The number of people $(y)$ attending a parent/teacher conference... | Consider the graph shown.
Which of the following relationships could be represented by the given graph?
Choices:
A:The number of people $(y)$ attending a parent/teacher conference when there are $x$ parents, each bringing 2 children.
B:The number of layers $(y)$ resulting from a rectangular piece of paper being folded... | |
2266 | 454 | Text Dominant | Consider the circle, which has 4 intersection points with axes, in the graph.
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: Consider the circle, which has 4 intersection points with axes, in the graph.
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: Consider the circle, which has 4 intersection points with axes, in the graph.
State the radius.
| Consider the circle, which has 4 intersection points with axes, in the graph.
State the radius.
| |
2970 | 594 | 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. | Mio bought a tablet and pays monthly for internet service for it. She graphed the relationship between the number of months she has had the tablet and the total amount she has spent on it.
What does the y-intercept represent in this context?
Choose 1 answer:
Choices:
A:The number of months after which the total cost is... | ||
1797 | 360 | Text Lite | In the following diagram.
Find the length of BD, correct to one decimal place. | 6.3 | 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: In the following diagram.
Find the length of BD, 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: In the following diagram.
Find the length of BD, correct to one decimal place. | In the following diagram.
Find the length of BD, correct to one decimal place. | |
2343 | 469 | Vision Intensive | State the centre of the figure.
| (0,0) | 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 centre of 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: State the centre of the figure.
| State the centre of the figure.
| |
2844 | 569 | Vision Dominant | 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). | |
182 | 37 | Text Lite | As shown in the figure, AB parallel CD, AO = PO, the degree of angle A is ()
Choices:
A:25°
B:35°
C:15°
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 parallel CD, AO = PO, the degree of angle A is ()
Choices:
A:25°
B:35°
C:15°
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 parallel CD, AO = PO, the degree of angle A is ()
Choices:
A:25°
B:35°
C:15°
D:50° | As shown in the figure, AB parallel CD, AO = PO, the degree of angle A is ()
Choices:
A:25°
B:35°
C:15°
D:50° | |
1125 | 225 | 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. | Z W and W Y are equal. Find X Z.
Choices:
A:5
B:17
C:18
D:34 | ||
3744 | 749 | Vision Dominant | A rectangular prism has dimensions as labelled on the diagram.
Find the length of AG. Leave your answer in surd form. | \sqrt{122} | 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: A rectangular prism has dimensions as labelled on the diagram.
Find the length of AG. Leave your answer in surd 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: A rectangular prism has dimensions as labelled on the diagram.
Find the length of AG. Leave your answer in surd form. | A rectangular prism has dimensions as labelled on the diagram.
Find the length of AG. Leave your answer in surd form. | |
2449 | 490 | Vision Dominant | Estimate the point(s) at which the graph of odd function f has a local maximum or a local minimum. | \text { local maximum: }(-3,60) \text {, local minimum: }(3, -60) | 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: Estimate the point(s) at which the graph of odd function f has a local maximum or a local minimum. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Estimate the point(s) at which the graph of odd function f has a local maximum or a local minimum. | Estimate the point(s) at which the graph of odd function f has a local maximum or a local minimum. | |
2201 | 441 | Text Dominant | The graph shows an angle $a$ in standard position with its terminal side intersecting the circle at $P\left(\frac{3}{5}, \frac{4}{5}\right)$. The center of the circle is the origin and the radius of the circle is 1.
Find the value of $\sin a$.
| $\frac{4}{5}$ | 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: The graph shows an angle $a$ in standard position with its terminal side intersecting the circle at $P\left(\frac{3}{5}, \frac{4}{5}\right)$. The center of the circle is the origin and the radius of the circle is 1.
Find the ... | 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 graph shows an angle $a$ in standard position with its terminal side intersecting the circle at $P\left(\frac{3}{5}, \frac{4}{5}\right)$. The center of the circle is the origin and the ... | The graph shows an angle $a$ in standard position with its terminal side intersecting the circle at $P\left(\frac{3}{5}, \frac{4}{5}\right)$. The center of the circle is the origin and the radius of the circle is 1.
Find the value of $\sin a$.
| |
282 | 57 | Text Lite | As shown in the figure, AB is parallel to CD, if angle B = 20.0, then angle C is ()
Choices:
A:40°
B:20°
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, AB is parallel to CD, if angle B = 20.0, then angle C is ()
Choices:
A:40°
B:20°
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, AB is parallel to CD, if angle B = 20.0, then angle C is ()
Choices:
A:40°
B:20°
C:60°
D:70° | As shown in the figure, AB is parallel to CD, if angle B = 20.0, then angle C is ()
Choices:
A:40°
B:20°
C:60°
D:70° | |
1518 | 304 | Vision Intensive | Find x.
Choices:
A:11
B:11.5
C:12
D:12.5 | C | 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 x.
Choices:
A:11
B:11.5
C:12
D:12.5 | 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: Find x.
Choices:
A:11
B:11.5
C:12
D:12.5 | Find x.
Choices:
A:11
B:11.5
C:12
D:12.5 | |
3842 | 769 | Text Lite | What fraction of the area of the rectangle is shaded?
Choices:
A.3/8
B.1/4
C.1/8
D.1/10
E.1/16 | B | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: What fraction of the area of the rectangle is shaded?
Choices:
A.3/8
B.1/4
C.1/8
D.1/10
E.1/16 | 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: What fraction of the area of the rectangle is shaded?
Choices:
A.3/8
B.1/4
C.1/8
D.1/10
E.1/16 | What fraction of the area of the rectangle is shaded?
Choices:
A.3/8
B.1/4
C.1/8
D.1/10
E.1/16 | |
2784 | 557 | Vision Dominant | 10 \cdot f(7) + 9 \cdot g(-1) = | -1 | 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: 10 \cdot f(7) + 9 \cdot g(-1) = | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: 10 \cdot f(7) + 9 \cdot g(-1) = | 10 \cdot f(7) + 9 \cdot g(-1) = | |
2288 | 458 | Vision Intensive | Find the value of $\cos \theta$. Rationalise the denominator if necessary.
| $\frac{-2 \sqrt{13}}{13}$ | 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 value of $\cos \theta$. Rationalise the denominator if necessary.
| 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 $\cos \theta$. Rationalise the denominator if necessary.
| Find the value of $\cos \theta$. Rationalise the denominator if necessary.
| |
1700 | 340 | Vision Only | 053 ^\circ T | multi-choice | {
"split": "testmini",
"source": "Geo2D_collected",
"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. | Find the true bearing of point B from point C.
Choice:
A. 053 ^\circ T
B. 082 ^\circ T
C. 045 ^\circ T
D. 037 ^\circ T
Choice:
A. 053 ^\circ T
B. 082 ^\circ T
C. 045 ^\circ T
D. 037 ^\circ T | ||
1272 | 255 | Text Lite | m is the bisector of X Z, W Z = 14.9. Find W X.
Choices:
A:7.45
B:14.9
C:22.4
D:25.3 | 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: m is the bisector of X Z, W Z = 14.9. Find W X.
Choices:
A:7.45
B:14.9
C:22.4
D:25.3 | 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: m is the bisector of X Z, W Z = 14.9. Find W X.
Choices:
A:7.45
B:14.9
C:22.4
D:25.3 | m is the bisector of X Z, W Z = 14.9. Find W X.
Choices:
A:7.45
B:14.9
C:22.4
D:25.3 | |
1889 | 378 | Vision Dominant | Consider the adjacent figure:Find the exact value of y. | 4\sqrt{5} | 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:Find the exact value of y. | 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:Find the exact value of y. | Consider the adjacent figure:Find the exact value of y. | |
3014 | 603 | Vision Dominant | The graph shows the progress of two competitors in a cycling race.
Who is traveling faster?
Choices:
A:Justin
B:Oliver | B | 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: The graph shows the progress of two competitors in a cycling race.
Who is traveling faster?
Choices:
A:Justin
B:Oliver | 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 graph shows the progress of two competitors in a cycling race.
Who is traveling faster?
Choices:
A:Justin
B:Oliver | The graph shows the progress of two competitors in a cycling race.
Who is traveling faster?
Choices:
A:Justin
B:Oliver | |
2132 | 427 | Text Lite | A boat is at the current point. Write down the bearing that the boat should travel on to return to the starting point. | N 34° W | 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: A boat is at the current point. Write down the bearing that the boat should travel on to return to the starting point. | 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 boat is at the current point. Write down the bearing that the boat should travel on to return to the starting point. | A boat is at the current point. Write down the bearing that the boat should travel on to return to the starting point. | |
3787 | 758 | Text Lite | In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree | D | 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 triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degr... | 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 triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree... | In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree | |
1772 | 355 | Text Lite | Consider the following diagram. Hence, find AD correct to two decimal places. | 93.31 | 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 following diagram. Hence, find AD 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: Consider the following diagram. Hence, find AD correct to two decimal places. | Consider the following diagram. Hence, find AD correct to two decimal places. | |
1010 | 202 | Vision Only | D | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"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. | In the figure below, lines l and m are parallel. What is the measure of \angle A B C? Express your answer in degrees.
Choices:
A:33
B:38
C:61
D:71 | ||
3577 | 716 | Text Lite | Assume that both boxes are identical in size. The middle cylinder has radius of 6 and height of 11.
Find the surface area of the solid.
Round your answer to two decimal places. | 8128.50 \text { 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: Assume that both boxes are identical in size. The middle cylinder has radius of 6 and height of 11.
Find the surface area of the solid.
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: Assume that both boxes are identical in size. The middle cylinder has radius of 6 and height of 11.
Find the surface area of the solid.
Round your answer to two decimal places. | Assume that both boxes are identical in size. The middle cylinder has radius of 6 and height of 11.
Find the surface area of the solid.
Round your answer to two decimal places. | |
3455 | 691 | Vision Only | Volume $=577.3 \mathrm{~cm}^{3}$ | 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. | Calculate the volume of the halfpipe.
Round your answer to one decimal place. | ||
1892 | 379 | Text Lite | Find t. | 4+4\sqrt{3} | 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 t. | 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 t. | Find t. | |
445 | 89 | Vision Only | D | 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, then the degree of angle BAO is ()
Choices:
A:50°
B:55°
C:60°
D:65° | ||
109 | 22 | Vision Dominant | As shown in the figure, in the diamond ABCD, the degree of angle OBC is ()
Choices:
A:28°
B:52°
C:62°
D:72° | 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, in the diamond ABCD, the degree of angle OBC is ()
Choices:
A:28°
B:52°
C:62°
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: As shown in the figure, in the diamond ABCD, the degree of angle OBC is ()
Choices:
A:28°
B:52°
C:62°
D:72° | As shown in the figure, in the diamond ABCD, the degree of angle OBC is ()
Choices:
A:28°
B:52°
C:62°
D:72° | |
2679 | 536 | Vision Dominant | Below is the graph of a trigonometric function. What is the amplitude of the function? | 5.3 | 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: Below is the graph of a trigonometric function. What is the amplitude of the function? | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Below is the graph of a trigonometric function. What is the amplitude of the function? | Below is the graph of a trigonometric function. What is the amplitude of the function? | |
3480 | 696 | Vision Only | Volume $=609.47 \mathrm{~cm}^{3}$ | 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 figure shown, correct to two decimal places. | ||
2474 | 495 | Vision Dominant | Write an equation for the graphed quadratic function f. | f(x)=-(x+1)^2+2 | 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 quadratic 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 quadratic function f. | Write an equation for the graphed quadratic function f. | |
3830 | 766 | Vision Only | 123 | free-form | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | 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. | In the figure above. If 55 < x < 60, what is one possible value of y ? | ||
2683 | 537 | Vision Intensive | What is the period of the function? Give an exact value.
| \pi | 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: What is the period of the function? Give 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: What is the period of the function? Give an exact value.
| What is the period of the function? Give an exact value.
| |
9 | 2 | Vision Dominant | As shown in the figure, AB parallel CD, EG bisects angle BEF, then angle 2 is equal to ()
Choices:
A:50°
B:60°
C:65°
D:90° | 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, AB parallel CD, EG bisects angle BEF, then angle 2 is equal to ()
Choices:
A:50°
B:60°
C:65°
D:90° | 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 parallel CD, EG bisects angle BEF, then angle 2 is equal to ()
Choices:
A:50°
B:60°
C:65°
D:90° | As shown in the figure, AB parallel CD, EG bisects angle BEF, then angle 2 is equal to ()
Choices:
A:50°
B:60°
C:65°
D:90° | |
2845 | 569 | Vision Only | g(x)=x^2-3 | free-form | {
"split": "testmini",
"source": "Functions_collected",
"subject": "Functions",
"subfield": "Expression"
} | 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 the equation for g(x). | ||
664 | 133 | Vision Dominant | As shown in the figure, and the straight line PS is perpendicular to the river. Choose an appropriate point T on the straight line a passing point S and perpendicular to PS. The intersection of PT and the straight line b passing point Q and perpendicular to PS is R. then the width of the river PQ is ()
Choices:
A:40m
B... | 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, and the straight line PS is perpendicular to the river. Choose an appropriate point T on the straight line a passing point S and perpendicular to PS. The intersection of PT and the straight lin... | 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, and the straight line PS is perpendicular to the river. Choose an appropriate point T on the straight line a passing point S and perpendicular to PS. The in... | As shown in the figure, and the straight line PS is perpendicular to the river. Choose an appropriate point T on the straight line a passing point S and perpendicular to PS. The intersection of PT and the straight line b passing point Q and perpendicular to PS is R. then the width of the river PQ is ()
Choices:
A:40m
B... | |
344 | 69 | Vision Dominant | As shown in the figure, the straight line a parallel b, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | 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 straight line a parallel b, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | 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 straight line a parallel b, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | As shown in the figure, the straight line a parallel b, then the degree of angle 1 is ()
Choices:
A:75°
B:105°
C:140°
D:145° | |
2611 | 523 | Text Dominant | Piecewise functions $f$ and $g$ can model the heights (in meters) of two airplanes. $g$ is purple and goes through (0,10000), (40,9000), (80,9000), (100,11000), (130,11000), and $f$ is blue and goes through (10,11000), (50,11000), (60,10000), (100,10000), (120,0). $t$ is the number of minutes that have passed since noo... | (B) | 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: Piecewise functions $f$ and $g$ can model the heights (in meters) of two airplanes. $g$ is purple and goes through (0,10000), (40,9000), (80,9000), (100,11000), (130,11000), and $f$ is blue and goes through (10,11000)... | 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: Piecewise functions $f$ and $g$ can model the heights (in meters) of two airplanes. $g$ is purple and goes through (0,10000), (40,9000), (80,9000), (100,11000), (130,11000), and $f... | Piecewise functions $f$ and $g$ can model the heights (in meters) of two airplanes. $g$ is purple and goes through (0,10000), (40,9000), (80,9000), (100,11000), (130,11000), and $f$ is blue and goes through (10,11000), (50,11000), (60,10000), (100,10000), (120,0). $t$ is the number of minutes that have passed since noo... | |
624 | 125 | Vision Dominant | it is known that， then the radius of the bottom circle of the chimney cap is ()
Choices:
A:5cm
B:12cm
C:10cm
D:15cm | 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: it is known that， then the radius of the bottom circle of the chimney cap is ()
Choices:
A:5cm
B:12cm
C:10cm
D:15cm | 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: it is known that， then the radius of the bottom circle of the chimney cap is ()
Choices:
A:5cm
B:12cm
C:10cm
D:15cm | it is known that， then the radius of the bottom circle of the chimney cap is ()
Choices:
A:5cm
B:12cm
C:10cm
D:15cm | |
234 | 47 | Vision Dominant | As shown in the figure, the straight line AB parallel CD, then angle 1 is equal to ()
Choices:
A:132°
B:134°
C:136°
D:138° | 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 straight line AB parallel CD, then angle 1 is equal to ()
Choices:
A:132°
B:134°
C:136°
D:138° | 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 straight line AB parallel CD, then angle 1 is equal to ()
Choices:
A:132°
B:134°
C:136°
D:138° | As shown in the figure, the straight line AB parallel CD, then angle 1 is equal to ()
Choices:
A:132°
B:134°
C:136°
D:138° | |
1218 | 244 | Vision Intensive | In the figure, m \angle 1 = 58, m \angle 2 = 47, and m \angle 3 = 26. Find the measure of \angle 5.
Choices:
A:43
B:47
C:58
D:73 | 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, m \angle 1 = 58, m \angle 2 = 47, and m \angle 3 = 26. Find the measure of \angle 5.
Choices:
A:43
B:47
C:58
D:73 | 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, m \angle 1 = 58, m \angle 2 = 47, and m \angle 3 = 26. Find the measure of \angle 5.
Choices:
A:43
B:47
C:58
D:73 | In the figure, m \angle 1 = 58, m \angle 2 = 47, and m \angle 3 = 26. Find the measure of \angle 5.
Choices:
A:43
B:47
C:58
D:73 | |
2393 | 479 | Vision Intensive | 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 | 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: 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 | |
1324 | 265 | Vision Dominant | Line l and m are parallel. Find x.
Choices:
A:5.6
B:18
C:20
D:22 | 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: Line l and m are parallel. Find x.
Choices:
A:5.6
B:18
C:20
D:22 | 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: Line l and m are parallel. Find x.
Choices:
A:5.6
B:18
C:20
D:22 | Line l and m are parallel. Find x.
Choices:
A:5.6
B:18
C:20
D:22 | |
133 | 27 | Vision Intensive | As shown in the figure, the plant spacing (the horizontal distance between two adjacent trees) is required to be 4.0. If trees are planted on a hillside with a slope of 0.75, and the plant spacing is also required to be 4.0, then the slope distance between two adjacent trees is ()
Choices:
A:5m
B:6m
C:7m
D:8m | A | multi-choice | {
"split": "testmini",
"source": "GeoQA",
"subject": "Plane Geometry",
"subfield": "Applied"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, the plant spacing (the horizontal distance between two adjacent trees) is required to be 4.0. If trees are planted on a hillside with a slope of 0.75, and the plant spacing is also required to ... | 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 plant spacing (the horizontal distance between two adjacent trees) is required to be 4.0. If trees are planted on a hillside with a slope of 0.75, and t... | As shown in the figure, the plant spacing (the horizontal distance between two adjacent trees) is required to be 4.0. If trees are planted on a hillside with a slope of 0.75, and the plant spacing is also required to be 4.0, then the slope distance between two adjacent trees is ()
Choices:
A:5m
B:6m
C:7m
D:8m | |
71 | 15 | Text Dominant | As shown in the figure, the straight line a and the straight line b are intercepted by the straight line c, b perpendicular c, the foot of perpendicular is the point A, angle 1 = 70.0. If the line b is parallel to the line a, the line b can be rotated () clockwise around the point A
Choices:
A:70°
B:50°
C:30°
D:20° | 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, the straight line a and the straight line b are intercepted by the straight line c, b perpendicular c, the foot of perpendicular is the point A, angle 1 = 70.0. If the line b is parallel to th... | 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 straight line a and the straight line b are intercepted by the straight line c, b perpendicular c, the foot of perpendicular is the point A, angle 1 = ... | As shown in the figure, the straight line a and the straight line b are intercepted by the straight line c, b perpendicular c, the foot of perpendicular is the point A, angle 1 = 70.0. If the line b is parallel to the line a, the line b can be rotated () clockwise around the point A
Choices:
A:70°
B:50°
C:30°
D:20° | |
3807 | 762 | Text Lite | In the figure above if the area of triangle CAF is equal to the area of CDEF, what is the length of segment AD?
Choices:
A.7/2
B.5
C.7
D.15/2
E.15 | C | 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: In the figure above if the area of triangle CAF is equal to the area of CDEF, what is the length of segment AD?
Choices:
A.7/2
B.5
C.7
D.15/2
E.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: In the figure above if the area of triangle CAF is equal to the area of CDEF, what is the length of segment AD?
Choices:
A.7/2
B.5
C.7
D.15/2
E.15 | In the figure above if the area of triangle CAF is equal to the area of CDEF, what is the length of segment AD?
Choices:
A.7/2
B.5
C.7
D.15/2
E.15 | |
1440 | 288 | Vision Only | A | multi-choice | {
"split": "testmini",
"source": "Geometry3K",
"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. | Find m \angle 2.
Choices:
A:39
B:42
C:48
D:51 | ||
555 | 111 | 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. | AD is the angle bisector of angle CAB, and crossing point C is the high line CE on the AD side in triangle ACD, then the degree of angle ECD is ()
Choices:
A:63°
B:45°
C:27°
D:18° | ||
1840 | 368 | Vision Only | 777 | 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. | A farmer wants to build a fence around the entire perimeter of his land, as shown in the diagram. The fencing costs £37 per metre.
At £37 per metre of fencing, how much will it cost him to build the fence along the entire perimeter of the land? | ||
18 | 4 | Vision Intensive | As shown in the figure, if angle A = 36.0, then angle C is equal to ()
Choices:
A:36°
B:54°
C:60°
D:27° | 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, if angle A = 36.0, then angle C is equal to ()
Choices:
A:36°
B:54°
C:60°
D:27° | 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 angle A = 36.0, then angle C is equal to ()
Choices:
A:36°
B:54°
C:60°
D:27° | As shown in the figure, if angle A = 36.0, then angle C is equal to ()
Choices:
A:36°
B:54°
C:60°
D:27° |
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