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stringlengths 1
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stringclasses 1
value | question
stringlengths 93
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imagewidth (px) 99
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stringlengths 1
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stringclasses 2
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dict | query_wo
stringlengths 192
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stringlengths 229
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stringlengths 93
649
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|---|---|---|---|---|---|---|---|---|---|---|
806
|
162
|
Text Dominant
|
As shown in the figure, given the angle of circumference angle BAC = 40.0, then the degree of the central angle angle BOC is ()
Choices:
A:40°
B:60°
C:80°
D:100°
|
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, given the angle of circumference angle BAC = 40.0, then the degree of the central angle angle BOC is ()
Choices:
A:40°
B:60°
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, given the angle of circumference angle BAC = 40.0, then the degree of the central angle angle BOC is ()
Choices:
A:40°
B:60°
C:80°
D:100°
|
As shown in the figure, given the angle of circumference angle BAC = 40.0, then the degree of the central angle angle BOC is ()
Choices:
A:40°
B:60°
C:80°
D:100°
|
|
2776
|
556
|
Text Dominant
|
On the following unit circle, $\theta$ is in radians and $\tan (\theta)=\frac{0.98}{0.2}=4.9$. Without a calculator, evaluate the following expressions to the nearest hundredth or as an exact ratio.
|
-4.9
-4.9
|
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: On the following unit circle, $\theta$ is in radians and $\tan (\theta)=\frac{0.98}{0.2}=4.9$. Without a calculator, evaluate the following expressions to the nearest hundredth or as an exact ratio.
|
Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: On the following unit circle, $\theta$ is in radians and $\tan (\theta)=\frac{0.98}{0.2}=4.9$. Without a calculator, evaluate the following expressions to the nearest hundredth or as an exact ratio.
|
On the following unit circle, $\theta$ is in radians and $\tan (\theta)=\frac{0.98}{0.2}=4.9$. Without a calculator, evaluate the following expressions to the nearest hundredth or as an exact ratio.
|
|
2006
|
402
|
Text Dominant
|
The diameter of the figure is $ 52.72 \mathrm{~cm}$. The figure follows that half of a circle has area $\frac{1}{2} \pi r^{2}$. Find the exact area of the shape shown.
|
Area $=347.4248 \pi \mathrm{cm}^{2}$
|
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: The diameter of the figure is $ 52.72 \mathrm{~cm}$. The figure follows that half of a circle has area $\frac{1}{2} \pi r^{2}$. Find the exact area of the shape 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: The diameter of the figure is $ 52.72 \mathrm{~cm}$. The figure follows that half of a circle has area $\frac{1}{2} \pi r^{2}$. Find the exact area of the shape shown.
|
The diameter of the figure is $ 52.72 \mathrm{~cm}$. The figure follows that half of a circle has area $\frac{1}{2} \pi r^{2}$. Find the exact area of the shape shown.
|
|
3511
|
703
|
Text Dominant
|
The dimensions of a trapezoidal prism are given in the following diagram (not drawn to scale). A trapezoidal prism consists of two trapezium faces and four rectangular faces. The trapezium face has edges of 10cm, 5cm and 18cm and height of 3cm. The bottom face has edges of 18cm and 8cm.
Find the surface area of the trapezoidal prism.
|
338 \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 dimensions of a trapezoidal prism are given in the following diagram (not drawn to scale). A trapezoidal prism consists of two trapezium faces and four rectangular faces. The trapezium face has edges of 10cm, 5cm and 18cm and height of 3cm. The bottom face has edges of 18cm and 8cm.
Find the surface area of the trapezoidal 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: The dimensions of a trapezoidal prism are given in the following diagram (not drawn to scale). A trapezoidal prism consists of two trapezium faces and four rectangular faces. The trapezium face has edges of 10cm, 5cm and 18cm and height of 3cm. The bottom face has edges of 18cm and 8cm.
Find the surface area of the trapezoidal prism.
|
The dimensions of a trapezoidal prism are given in the following diagram (not drawn to scale). A trapezoidal prism consists of two trapezium faces and four rectangular faces. The trapezium face has edges of 10cm, 5cm and 18cm and height of 3cm. The bottom face has edges of 18cm and 8cm.
Find the surface area of the trapezoidal prism.
|
|
2381
|
477
|
Text Dominant
|
There is a curve goes through the origin. Use the vertical line test to determine if this relation is a function.
Choices:
A:This is a function
B:This is not a 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: There is a curve goes through the origin. Use the vertical line test to determine if this relation is a function.
Choices:
A:This is a function
B:This is not a 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: There is a curve goes through the origin. Use the vertical line test to determine if this relation is a function.
Choices:
A:This is a function
B:This is not a function
|
There is a curve goes through the origin. Use the vertical line test to determine if this relation is a function.
Choices:
A:This is a function
B:This is not a function
|
|
526
|
106
|
Text Dominant
|
This question examines the theorem of angle of circumference, the key is to answer it based on the relationship between the central angle and the angle of circumference of the same chord. 4.0. As shown in the figure, AB is the diameter of circle O, C is the point on circle O (except A and B), angle AOD = 136.0, then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36°
|
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: This question examines the theorem of angle of circumference, the key is to answer it based on the relationship between the central angle and the angle of circumference of the same chord. 4.0. As shown in the figure, AB is the diameter of circle O, C is the point on circle O (except A and B), angle AOD = 136.0, then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36°
|
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: This question examines the theorem of angle of circumference, the key is to answer it based on the relationship between the central angle and the angle of circumference of the same chord. 4.0. As shown in the figure, AB is the diameter of circle O, C is the point on circle O (except A and B), angle AOD = 136.0, then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36°
|
This question examines the theorem of angle of circumference, the key is to answer it based on the relationship between the central angle and the angle of circumference of the same chord. 4.0. As shown in the figure, AB is the diameter of circle O, C is the point on circle O (except A and B), angle AOD = 136.0, then the degree of angle C is ()
Choices:
A:44°
B:22°
C:46°
D:36°
|
|
2826
|
566
|
Text Dominant
|
g(x) is shown in the figure, which is a quadratic function opening upward with a vertex of (3,−8) and a minimum value of -8. f(x)=x^2-2x+1. Which function has a greater y-intercept, f(x) or g(x)?
Choices:
A:$f$ has a greater $y$-intercept than $g$.
B:$g$ has a greater $y$-intercept than $f$.
C:$f$ and $g$ share the same $y$-intercept.
|
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: g(x) is shown in the figure, which is a quadratic function opening upward with a vertex of (3,−8) and a minimum value of -8. f(x)=x^2-2x+1. Which function has a greater y-intercept, f(x) or g(x)?
Choices:
A:$f$ has a greater $y$-intercept than $g$.
B:$g$ has a greater $y$-intercept than $f$.
C:$f$ and $g$ share the same $y$-intercept.
|
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 upward with a vertex of (3,−8) and a minimum value of -8. f(x)=x^2-2x+1. Which function has a greater y-intercept, f(x) or g(x)?
Choices:
A:$f$ has a greater $y$-intercept than $g$.
B:$g$ has a greater $y$-intercept than $f$.
C:$f$ and $g$ share the same $y$-intercept.
|
g(x) is shown in the figure, which is a quadratic function opening upward with a vertex of (3,−8) and a minimum value of -8. f(x)=x^2-2x+1. Which function has a greater y-intercept, f(x) or g(x)?
Choices:
A:$f$ has a greater $y$-intercept than $g$.
B:$g$ has a greater $y$-intercept than $f$.
C:$f$ and $g$ share the same $y$-intercept.
|
|
1946
|
390
|
Text Dominant
|
A circle with a circumference of $44 \mathrm{~cm}$. Consider the circle below.
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: A circle with a circumference of $44 \mathrm{~cm}$. Consider the circle below.
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: A circle with a circumference of $44 \mathrm{~cm}$. Consider the circle below.
What is the radius $r$ of the circle?
Round your answer to two decimal places.
|
A circle with a circumference of $44 \mathrm{~cm}$. Consider the circle below.
What is the radius $r$ of the circle?
Round your answer to two decimal places.
|
|
6
|
2
|
Text Dominant
|
As shown in the figure, AB parallel CD, straight line EF intersects AB at point E, intersects CD at point F, EG bisects angle BEF, and it intersects CD at point G, angle 1 = 50.0, 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, straight line EF intersects AB at point E, intersects CD at point F, EG bisects angle BEF, and it intersects CD at point G, angle 1 = 50.0, 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, straight line EF intersects AB at point E, intersects CD at point F, EG bisects angle BEF, and it intersects CD at point G, angle 1 = 50.0, then angle 2 is equal to ()
Choices:
A:50°
B:60°
C:65°
D:90°
|
As shown in the figure, AB parallel CD, straight line EF intersects AB at point E, intersects CD at point F, EG bisects angle BEF, and it intersects CD at point G, angle 1 = 50.0, then angle 2 is equal to ()
Choices:
A:50°
B:60°
C:65°
D:90°
|
|
3681
|
737
|
Text Dominant
|
The height of the right pyramid is 7mm, the length of its base's side is 11mm. Find the exact volume of the right pyramid pictured.
|
\frac{847}{3} \mathrm{mm}^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 height of the right pyramid is 7mm, the length of its base's side is 11mm. Find the exact volume of the right pyramid pictured.
|
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 the right pyramid is 7mm, the length of its base's side is 11mm. Find the exact volume of the right pyramid pictured.
|
The height of the right pyramid is 7mm, the length of its base's side is 11mm. Find the exact volume of the right pyramid pictured.
|
|
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
|
|
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°
|
|
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
|
|
171
|
35
|
Text Dominant
|
As shown in the figure: AB parallel DE, angle B = 30.0, angle C = 110.0, the degree of angle D is ()
Choices:
A:115°
B:120°
C:100°
D:80°
|
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 DE, angle B = 30.0, angle C = 110.0, the degree of angle D is ()
Choices:
A:115°
B:120°
C:100°
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: As shown in the figure: AB parallel DE, angle B = 30.0, angle C = 110.0, the degree of angle D is ()
Choices:
A:115°
B:120°
C:100°
D:80°
|
As shown in the figure: AB parallel DE, angle B = 30.0, angle C = 110.0, the degree of angle D is ()
Choices:
A:115°
B:120°
C:100°
D:80°
|
|
2541
|
509
|
Text Dominant
|
A line is parallel to x-axis at y=5. Write the inequality that describes the points in the shaded region.
|
$y \leq 5$
|
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: A line is parallel to x-axis at y=5. Write the inequality that describes the points in the shaded region.
|
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 line is parallel to x-axis at y=5. Write the inequality that describes the points in the shaded region.
|
A line is parallel to x-axis at y=5. Write the inequality that describes the points in the shaded region.
|
|
2136
|
428
|
Text Dominant
|
The logo of a shop consists of five semicircles; four small semicircles each with the same radius, and one large semicircle. The perimeter of the whole shape is 14\pi units.
The entire shape is to be enlarged by a factor of 5 to form a logo sticker on the window of a shop front. What area of the shop front window will the sticker take up?
|
\frac{1225\pi }{2} \text { units }^2
|
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 logo of a shop consists of five semicircles; four small semicircles each with the same radius, and one large semicircle. The perimeter of the whole shape is 14\pi units.
The entire shape is to be enlarged by a factor of 5 to form a logo sticker on the window of a shop front. What area of the shop front window will the sticker take up?
|
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 logo of a shop consists of five semicircles; four small semicircles each with the same radius, and one large semicircle. The perimeter of the whole shape is 14\pi units.
The entire shape is to be enlarged by a factor of 5 to form a logo sticker on the window of a shop front. What area of the shop front window will the sticker take up?
|
The logo of a shop consists of five semicircles; four small semicircles each with the same radius, and one large semicircle. The perimeter of the whole shape is 14\pi units.
The entire shape is to be enlarged by a factor of 5 to form a logo sticker on the window of a shop front. What area of the shop front window will the sticker take up?
|
|
2271
|
455
|
Text Dominant
|
Consider the circle, which has 4 intersection points with axes, in the graph.
State the diameter.
|
8
|
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 diameter.
|
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 diameter.
|
Consider the circle, which has 4 intersection points with axes, in the graph.
State the diameter.
|
|
1831
|
367
|
Text Dominant
|
Sand has an angle of friction of about 40°. This means once it gets over this it slides down the side of the sand pile. Mae is getting a delivery of sand to her home, but the area where the sand will be delivered is only 10.6 metres wide. If h metres is the maximum height of the sandpile, 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: Sand has an angle of friction of about 40°. This means once it gets over this it slides down the side of the sand pile. Mae is getting a delivery of sand to her home, but the area where the sand will be delivered is only 10.6 metres wide. If h metres is the maximum height of the sandpile, 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: Sand has an angle of friction of about 40°. This means once it gets over this it slides down the side of the sand pile. Mae is getting a delivery of sand to her home, but the area where the sand will be delivered is only 10.6 metres wide. If h metres is the maximum height of the sandpile, find h to one decimal place.
|
Sand has an angle of friction of about 40°. This means once it gets over this it slides down the side of the sand pile. Mae is getting a delivery of sand to her home, but the area where the sand will be delivered is only 10.6 metres wide. If h metres is the maximum height of the sandpile, find h to one decimal place.
|
|
456
|
92
|
Text Dominant
|
As shown in the figure, AB is the diameter of circle O, C and D are two points on the circle, angle D = 34.0, then the degree of angle BOC is ()
Choices:
A:102°
B:112°
C:122°
D:132°
|
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 the diameter of circle O, C and D are two points on the circle, angle D = 34.0, then the degree of angle BOC is ()
Choices:
A:102°
B:112°
C:122°
D:132°
|
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 the diameter of circle O, C and D are two points on the circle, angle D = 34.0, then the degree of angle BOC is ()
Choices:
A:102°
B:112°
C:122°
D:132°
|
As shown in the figure, AB is the diameter of circle O, C and D are two points on the circle, angle D = 34.0, then the degree of angle BOC is ()
Choices:
A:102°
B:112°
C:122°
D:132°
|
|
1696
|
340
|
Text Dominant
|
Consider the following diagram. Triangle ABC formed by the dashed line, angle A is 49° and angle B is 41°.
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: Consider the following diagram. Triangle ABC formed by the dashed line, angle A is 49° and angle B is 41°.
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: Consider the following diagram. Triangle ABC formed by the dashed line, angle A is 49° and angle B is 41°.
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
|
Consider the following diagram. Triangle ABC formed by the dashed line, angle A is 49° and angle B is 41°.
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
|
|
2821
|
565
|
Text Dominant
|
g(x) is shown in the figure, which is a quadratic function going through (0,-2), (-1,0), (2,0), (3,4), (-2,4). f(x)=x^2+x-6. How many roots do the functions have in common?
Choices:
A:$f$ and $g$ share the same root(s).
B:$f$ and $g$ share one root in common but each have another root that is not shared.
C:$f$ and $g$ share no roots in common.
|
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: g(x) is shown in the figure, which is a quadratic function going through (0,-2), (-1,0), (2,0), (3,4), (-2,4). f(x)=x^2+x-6. How many roots do the functions have in common?
Choices:
A:$f$ and $g$ share the same root(s).
B:$f$ and $g$ share one root in common but each have another root that is not shared.
C:$f$ and $g$ share no roots in common.
|
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 going through (0,-2), (-1,0), (2,0), (3,4), (-2,4). f(x)=x^2+x-6. How many roots do the functions have in common?
Choices:
A:$f$ and $g$ share the same root(s).
B:$f$ and $g$ share one root in common but each have another root that is not shared.
C:$f$ and $g$ share no roots in common.
|
g(x) is shown in the figure, which is a quadratic function going through (0,-2), (-1,0), (2,0), (3,4), (-2,4). f(x)=x^2+x-6. How many roots do the functions have in common?
Choices:
A:$f$ and $g$ share the same root(s).
B:$f$ and $g$ share one root in common but each have another root that is not shared.
C:$f$ and $g$ share no roots in common.
|
|
1726
|
346
|
Text Dominant
|
Considering the diagram below, find x, the angle of elevation to point A from point C. The picture shows a right angled triangle with a base length of 25 and a height of 19.
Round your answer to two decimal places.
|
37.23
|
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: Considering the diagram below, find x, the angle of elevation to point A from point C. The picture shows a right angled triangle with a base length of 25 and a height of 19.
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: Considering the diagram below, find x, the angle of elevation to point A from point C. The picture shows a right angled triangle with a base length of 25 and a height of 19.
Round your answer to two decimal places.
|
Considering the diagram below, find x, the angle of elevation to point A from point C. The picture shows a right angled triangle with a base length of 25 and a height of 19.
Round your answer to two decimal places.
|
|
1206
|
242
|
Text Dominant
|
In a pentagon UVWYZ, angle W is x + 8 degrees. Find m \angle W.
Choices:
A:38
B:38
C:76
D:152
|
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: In a pentagon UVWYZ, angle W is x + 8 degrees. Find m \angle W.
Choices:
A:38
B:38
C:76
D:152
|
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 a pentagon UVWYZ, angle W is x + 8 degrees. Find m \angle W.
Choices:
A:38
B:38
C:76
D:152
|
In a pentagon UVWYZ, angle W is x + 8 degrees. Find m \angle W.
Choices:
A:38
B:38
C:76
D:152
|
|
66
|
14
|
Text Dominant
|
As shown in the figure, triangle ABC is the inscribed triangle of circle O, angle OAB = 35.0, 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, angle OAB = 35.0, 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, angle OAB = 35.0, 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, angle OAB = 35.0, then the degree of angle ACB is ()
Choices:
A:35°
B:55°
C:60°
D:70°
|
|
1576
|
316
|
Text Dominant
|
Two triangles A E B and A D C are similar with a shared vertex A. E B \parallel D C. A B = x - 2 and B C = 5. Find x.
Choices:
A:5
B:7.5
C:9.5
D:10
|
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: Two triangles A E B and A D C are similar with a shared vertex A. E B \parallel D C. A B = x - 2 and B C = 5. Find x.
Choices:
A:5
B:7.5
C:9.5
D:10
|
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 E B and A D C are similar with a shared vertex A. E B \parallel D C. A B = x - 2 and B C = 5. Find x.
Choices:
A:5
B:7.5
C:9.5
D:10
|
Two triangles A E B and A D C are similar with a shared vertex A. E B \parallel D C. A B = x - 2 and B C = 5. Find x.
Choices:
A:5
B:7.5
C:9.5
D:10
|
|
3001
|
601
|
Text Dominant
|
The line passes (2,-1), (5,1), (8,3), (11,5). Find the equation of the line in point-slope form .
|
$y-3=\frac{2}{3}(x-8)$
|
free-form
|
{
"split": "testmini",
"source": "Functions_collected",
"subject": "Plane Geometry",
"subfield": "Analytic"
}
|
Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The line passes (2,-1), (5,1), (8,3), (11,5). Find the equation of the line in point-slope 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: The line passes (2,-1), (5,1), (8,3), (11,5). Find the equation of the line in point-slope form .
|
The line passes (2,-1), (5,1), (8,3), (11,5). Find the equation of the line in point-slope form .
|
|
1936
|
388
|
Text Dominant
|
A circle with a radius of $18 \mathrm{~cm}$. Find the circumference of the circle shown, correct to one decimal place.
|
Circumference $=113.1 \mathrm{~cm}$
|
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: A circle with a radius of $18 \mathrm{~cm}$. Find the circumference of the circle shown, 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 circle with a radius of $18 \mathrm{~cm}$. Find the circumference of the circle shown, correct to one decimal place.
|
A circle with a radius of $18 \mathrm{~cm}$. Find the circumference of the circle shown, correct to one decimal place.
|
|
1366
|
274
|
Text Dominant
|
There is a right triangle with hypotenuse length 42. The two sides are x and 38. Find x.
Choices:
A:8 \sqrt { 2 }
B:8 \sqrt { 3 }
C:8 \sqrt { 5 }
D:8 \sqrt { 7 }
|
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: There is a right triangle with hypotenuse length 42. The two sides are x and 38. Find x.
Choices:
A:8 \sqrt { 2 }
B:8 \sqrt { 3 }
C:8 \sqrt { 5 }
D:8 \sqrt { 7 }
|
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 hypotenuse length 42. The two sides are x and 38. Find x.
Choices:
A:8 \sqrt { 2 }
B:8 \sqrt { 3 }
C:8 \sqrt { 5 }
D:8 \sqrt { 7 }
|
There is a right triangle with hypotenuse length 42. The two sides are x and 38. Find x.
Choices:
A:8 \sqrt { 2 }
B:8 \sqrt { 3 }
C:8 \sqrt { 5 }
D:8 \sqrt { 7 }
|
|
831
|
167
|
Text Dominant
|
As shown in the figure: In Rttriangle ABC, angle C = 90.0, AC = 8.0, AB = 10.0, then the value of sinB is equal to ()
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: In Rttriangle ABC, angle C = 90.0, AC = 8.0, AB = 10.0, then the value of sinB is equal to ()
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: In Rttriangle ABC, angle C = 90.0, AC = 8.0, AB = 10.0, then the value of sinB is equal to ()
Choices:
A:\frac{3}{5}
B:\frac{4}{5}
C:\frac{3}{4}
D:\frac{4}{3}
|
As shown in the figure: In Rttriangle ABC, angle C = 90.0, AC = 8.0, AB = 10.0, then the value of sinB is equal to ()
Choices:
A:\frac{3}{5}
B:\frac{4}{5}
C:\frac{3}{4}
D:\frac{4}{3}
|
|
3906
|
782
|
Text Dominant
|
In triangle ABC above, AB = AC,point E lies on line AB, point D lies on lien AC, E is the midpoint of line AB, and D is the midpoint of line AC. If AE = x and ED = 4, what is length BC?
Choices:
A.6
B.8
C.2*x
D.4*x
E.4*x^2
|
B
|
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 triangle ABC above, AB = AC,point E lies on line AB, point D lies on lien AC, E is the midpoint of line AB, and D is the midpoint of line AC. If AE = x and ED = 4, what is length BC?
Choices:
A.6
B.8
C.2*x
D.4*x
E.4*x^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: In triangle ABC above, AB = AC,point E lies on line AB, point D lies on lien AC, E is the midpoint of line AB, and D is the midpoint of line AC. If AE = x and ED = 4, what is length BC?
Choices:
A.6
B.8
C.2*x
D.4*x
E.4*x^2
|
In triangle ABC above, AB = AC,point E lies on line AB, point D lies on lien AC, E is the midpoint of line AB, and D is the midpoint of line AC. If AE = x and ED = 4, what is length BC?
Choices:
A.6
B.8
C.2*x
D.4*x
E.4*x^2
|
|
3231
|
647
|
Text Dominant
|
Find the volume of the cone pictured. The perpendicular height is 6 and radius is 3.
(Give your answer correct to 2 decimal places.)
|
56.55 units $^{3}$
|
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: Find the volume of the cone pictured. The perpendicular height is 6 and radius is 3.
(Give your answer 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: Find the volume of the cone pictured. The perpendicular height is 6 and radius is 3.
(Give your answer correct to 2 decimal places.)
|
Find the volume of the cone pictured. The perpendicular height is 6 and radius is 3.
(Give your answer correct to 2 decimal places.)
|
|
2421
|
485
|
Text Dominant
|
There is a curve start from a solid point (1,0) with an end arrow going through (-4,4). Write the domain and range of the function using interval notation.
|
domain: (-\infty, 1] and range: [0, \infty)
|
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: There is a curve start from a solid point (1,0) with an end arrow going through (-4,4). 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: There is a curve start from a solid point (1,0) with an end arrow going through (-4,4). Write the domain and range of the function using interval notation.
|
There is a curve start from a solid point (1,0) with an end arrow going through (-4,4). Write the domain and range of the function using interval notation.
|
|
3851
|
771
|
Text Dominant
|
In the figure above, the circle with center O has radius 7, AB is a diameter, and AC = BC. What is the area of triangle ABC?
|
49
|
free-form
|
{
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Area"
}
|
Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: In the figure above, the circle with center O has radius 7, AB is a diameter, and AC = BC. What is the area of triangle ABC?
|
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 figure above, the circle with center O has radius 7, AB is a diameter, and AC = BC. What is the area of triangle ABC?
|
In the figure above, the circle with center O has radius 7, AB is a diameter, and AC = BC. What is the area of triangle ABC?
|
|
2521
|
505
|
Text Dominant
|
Write an equation for the transformation of f(x)=|x| as shown in the figure, which passes (-2, 1) and are piecewise.
|
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, which passes (-2, 1) and are piecewise.
|
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, which passes (-2, 1) and are piecewise.
|
Write an equation for the transformation of f(x)=|x| as shown in the figure, which passes (-2, 1) and are piecewise.
|
|
1216
|
244
|
Text Dominant
|
In the figure, m \angle 1 = 58, m \angle 2 = 47, and m \angle 3 = 26. EC and AB are parallel. Connect B E. 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. EC and AB are parallel. Connect B E. 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. EC and AB are parallel. Connect B E. 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. EC and AB are parallel. Connect B E. Find the measure of \angle 5.
Choices:
A:43
B:47
C:58
D:73
|
|
2831
|
567
|
Text Dominant
|
g(x) is shown in the figure, which is a quadratic function opening downward with a vertex of (-5,6). f(x)=4x^2-108. Do the functions have the same concavity, f(x) and g(x)?
Choices:
A:Yes, $f$ and $g$ are both concave down.
B:Yes, $f$ and $g$ are both concave up.
C:No, $f$ is concave up and $g$ is concave down.
D:No, $f$ is concave down and $g$ is concave up.
|
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 (-5,6). f(x)=4x^2-108. Do the functions have the same concavity, f(x) and g(x)?
Choices:
A:Yes, $f$ and $g$ are both concave down.
B:Yes, $f$ and $g$ are both concave up.
C:No, $f$ is concave up and $g$ is concave down.
D:No, $f$ is concave down and $g$ is concave up.
|
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 (-5,6). f(x)=4x^2-108. Do the functions have the same concavity, f(x) and g(x)?
Choices:
A:Yes, $f$ and $g$ are both concave down.
B:Yes, $f$ and $g$ are both concave up.
C:No, $f$ is concave up and $g$ is concave down.
D:No, $f$ is concave down and $g$ is concave up.
|
g(x) is shown in the figure, which is a quadratic function opening downward with a vertex of (-5,6). f(x)=4x^2-108. Do the functions have the same concavity, f(x) and g(x)?
Choices:
A:Yes, $f$ and $g$ are both concave down.
B:Yes, $f$ and $g$ are both concave up.
C:No, $f$ is concave up and $g$ is concave down.
D:No, $f$ is concave down and $g$ is concave up.
|
|
2811
|
563
|
Text Dominant
|
Quadratic function g opens downward, and goes through (-1,-4), (-5,-4) with a vertex of (-3,0). Is the discriminant of g 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 downward, and goes through (-1,-4), (-5,-4) with a vertex of (-3,0). Is the discriminant of g 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 downward, and goes through (-1,-4), (-5,-4) with a vertex of (-3,0). Is the discriminant of g positive, zero, or negative?
Choices:
A:Positivie
B:Zero
C:Negative
|
Quadratic function g opens downward, and goes through (-1,-4), (-5,-4) with a vertex of (-3,0). Is the discriminant of g positive, zero, or negative?
Choices:
A:Positivie
B:Zero
C:Negative
|
|
3431
|
687
|
Text Dominant
|
Calculate the volume of the cylinder. Correct to one decimal place. The height is 10 cm and diameter is 3 cm.
|
Volume $=70.7 \mathrm{~cm}^{3}$
|
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: Calculate the volume of the cylinder. Correct to one decimal place. The height is 10 cm and diameter is 3 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: Calculate the volume of the cylinder. Correct to one decimal place. The height is 10 cm and diameter is 3 cm.
|
Calculate the volume of the cylinder. Correct to one decimal place. The height is 10 cm and diameter is 3 cm.
|
|
946
|
190
|
Text Dominant
|
As shown in the figure, PA and PB are tangents of circle O, the tangent point of point A and B, AC is the diameter of circle O, given that angle P = 50.0, then the size of angle ACB is ()
Choices:
A:65°
B:60°
C:55°
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, PA and PB are tangents of circle O, the tangent point of point A and B, AC is the diameter of circle O, given that angle P = 50.0, then the size of angle ACB is ()
Choices:
A:65°
B:60°
C:55°
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, PA and PB are tangents of circle O, the tangent point of point A and B, AC is the diameter of circle O, given that angle P = 50.0, then the size of angle ACB is ()
Choices:
A:65°
B:60°
C:55°
D:50°
|
As shown in the figure, PA and PB are tangents of circle O, the tangent point of point A and B, AC is the diameter of circle O, given that angle P = 50.0, then the size of angle ACB is ()
Choices:
A:65°
B:60°
C:55°
D:50°
|
|
3496
|
700
|
Text Dominant
|
Consider the following rectangular prism with length width and height equal to 12 m, 6 m and 4 m respectively.
Find the surface area of the prism.
|
288 \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: Consider the following rectangular prism with length width and height equal to 12 m, 6 m and 4 m respectively.
Find the surface area 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 following rectangular prism with length width and height equal to 12 m, 6 m and 4 m respectively.
Find the surface area of the prism.
|
Consider the following rectangular prism with length width and height equal to 12 m, 6 m and 4 m respectively.
Find the surface area of the prism.
|
|
2376
|
476
|
Text Dominant
|
Two curves are symmetrical about the x-axis. Use the vertical line test to determine if this relation is a function.
Choices:
A:This is a function
B:This is not a 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: Two curves are symmetrical about the x-axis. Use the vertical line test to determine if this relation is a function.
Choices:
A:This is a function
B:This is not a 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: Two curves are symmetrical about the x-axis. Use the vertical line test to determine if this relation is a function.
Choices:
A:This is a function
B:This is not a function
|
Two curves are symmetrical about the x-axis. Use the vertical line test to determine if this relation is a function.
Choices:
A:This is a function
B:This is not a function
|
|
3406
|
682
|
Text Dominant
|
All edges of the base of the following square pyramid are 8 cm long, while all the sloping edges are 12 cm long. The CN edge and DN edge have the equal length.
Find Y, the size of \angle PNM, correct to two decimal places.
|
69.30
|
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: All edges of the base of the following square pyramid are 8 cm long, while all the sloping edges are 12 cm long. The CN edge and DN edge have the equal length.
Find Y, the size of \angle PNM, 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: All edges of the base of the following square pyramid are 8 cm long, while all the sloping edges are 12 cm long. The CN edge and DN edge have the equal length.
Find Y, the size of \angle PNM, correct to two decimal places.
|
All edges of the base of the following square pyramid are 8 cm long, while all the sloping edges are 12 cm long. The CN edge and DN edge have the equal length.
Find Y, the size of \angle PNM, correct to two decimal places.
|
|
2551
|
511
|
Text Dominant
|
The x-intercept of the line is -3 and the y-intercept is 6. State the inequality that describes the region drawn in the number plane.
|
$y<2 x+6$
|
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 x-intercept of the line is -3 and the y-intercept is 6. State the inequality that describes the region drawn in the number plane.
|
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 x-intercept of the line is -3 and the y-intercept is 6. State the inequality that describes the region drawn in the number plane.
|
The x-intercept of the line is -3 and the y-intercept is 6. State the inequality that describes the region drawn in the number plane.
|
|
291
|
59
|
Text Dominant
|
As shown in the figure, AB parallel CD, AD bisects angle BAC, and angle C = 80.0, then the degree of angle D is ()
Choices:
A:50°
B:60°
C:70°
D:100°
|
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, AD bisects angle BAC, and angle C = 80.0, then the degree of angle D is ()
Choices:
A:50°
B:60°
C:70°
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, AB parallel CD, AD bisects angle BAC, and angle C = 80.0, then the degree of angle D is ()
Choices:
A:50°
B:60°
C:70°
D:100°
|
As shown in the figure, AB parallel CD, AD bisects angle BAC, and angle C = 80.0, then the degree of angle D is ()
Choices:
A:50°
B:60°
C:70°
D:100°
|
|
2371
|
475
|
Text Dominant
|
There is a point at 4 and a blue arrow goes to left from that point. 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: There is a point at 4 and a blue arrow goes to left from that point. 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: There is a point at 4 and a blue arrow goes to left from that point. Write the set of numbers represented on the number line in interval notation.
|
There is a point at 4 and a blue arrow goes to left from that point. Write the set of numbers represented on the number line in interval notation.
|
|
2801
|
561
|
Text Dominant
|
Quadratic function g opens downward, and goes through (4,-5), (8,-5) with a vertex (6,-1). Is the discriminant of g positive, zero, or negative?
Choices:
A:Positivie
B:Zero
C:Negative
|
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: Quadratic function g opens downward, and goes through (4,-5), (8,-5) with a vertex (6,-1). Is the discriminant of g 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 downward, and goes through (4,-5), (8,-5) with a vertex (6,-1). Is the discriminant of g positive, zero, or negative?
Choices:
A:Positivie
B:Zero
C:Negative
|
Quadratic function g opens downward, and goes through (4,-5), (8,-5) with a vertex (6,-1). Is the discriminant of g positive, zero, or negative?
Choices:
A:Positivie
B:Zero
C:Negative
|
|
3736
|
748
|
Text Dominant
|
The following is a right pyramid on a square base with side length 16cm. A right pyramid has its apex aligned directly above the centre of its base.
The edge length VA is 26cm.
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 with side length 16cm. A right pyramid has its apex aligned directly above the centre of its base.
The edge length VA is 26cm.
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 with side length 16cm. A right pyramid has its apex aligned directly above the centre of its base.
The edge length VA is 26cm.
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 with side length 16cm. A right pyramid has its apex aligned directly above the centre of its base.
The edge length VA is 26cm.
Find the length of VW, the perpendicular height of the pyramid correct to two decimal places.
|
|
1261
|
253
|
Text Dominant
|
A B is a diameter, A C = 8 inches, and B C = 15 inches. Find the radius of the circle.
Choices:
A:7.5
B:8
C:8.5
D:17
|
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: A B is a diameter, A C = 8 inches, and B C = 15 inches. Find the radius of the circle.
Choices:
A:7.5
B:8
C:8.5
D:17
|
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 B is a diameter, A C = 8 inches, and B C = 15 inches. Find the radius of the circle.
Choices:
A:7.5
B:8
C:8.5
D:17
|
A B is a diameter, A C = 8 inches, and B C = 15 inches. Find the radius of the circle.
Choices:
A:7.5
B:8
C:8.5
D:17
|
|
106
|
22
|
Text Dominant
|
As shown in the figure, in the diamond ABCD, M and N are respectively AB and CD, and AM = CN, MN and AC intersect at point O. Connect BO. If angle DAC = 28.0, then 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, M and N are respectively AB and CD, and AM = CN, MN and AC intersect at point O. Connect BO. If angle DAC = 28.0, then 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, M and N are respectively AB and CD, and AM = CN, MN and AC intersect at point O. Connect BO. If angle DAC = 28.0, then the degree of angle OBC is ()
Choices:
A:28°
B:52°
C:62°
D:72°
|
As shown in the figure, in the diamond ABCD, M and N are respectively AB and CD, and AM = CN, MN and AC intersect at point O. Connect BO. If angle DAC = 28.0, then the degree of angle OBC is ()
Choices:
A:28°
B:52°
C:62°
D:72°
|
|
1566
|
314
|
Text Dominant
|
In trapezoid J K L M, J K is parallel to M L. J M = 6, K L = 6, and \angle J M L is 80 degrees. Find m \angle K.
Choices:
A:6
B:60
C:100
D:180
|
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: In trapezoid J K L M, J K is parallel to M L. J M = 6, K L = 6, and \angle J M L is 80 degrees. Find m \angle K.
Choices:
A:6
B:60
C:100
D:180
|
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 trapezoid J K L M, J K is parallel to M L. J M = 6, K L = 6, and \angle J M L is 80 degrees. Find m \angle K.
Choices:
A:6
B:60
C:100
D:180
|
In trapezoid J K L M, J K is parallel to M L. J M = 6, K L = 6, and \angle J M L is 80 degrees. Find m \angle K.
Choices:
A:6
B:60
C:100
D:180
|
|
2296
|
460
|
Text Dominant
|
Consider the circle, which has 2 intersection points with axes, on the graph.
Find the centre of the circle. 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: Consider the circle, which has 2 intersection points with axes, on the graph.
Find the centre of the circle. 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: Consider the circle, which has 2 intersection points with axes, on the graph.
Find the centre of the circle. Write your answer in the form ( _ , _ )
|
Consider the circle, which has 2 intersection points with axes, on the graph.
Find the centre of the circle. Write your answer in the form ( _ , _ )
|
|
801
|
161
|
Text Dominant
|
As shown in the figure, the homothetic figures are composed of a triangle ruler and its center projection under the light. If the ratio of the distance from the bulb to the vertex of the triangle ruler to the distance from the bulb to the corresponding vertex of the triangular ruler projection is 2.0:5.0, and the length of one edge of the triangle ruler is 8.0, Then the corresponding edge length of the projection triangle is ()
Choices:
A:8cm
B:20cm
C:3.2cm
D:10cm
|
B
|
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 homothetic figures are composed of a triangle ruler and its center projection under the light. If the ratio of the distance from the bulb to the vertex of the triangle ruler to the distance from the bulb to the corresponding vertex of the triangular ruler projection is 2.0:5.0, and the length of one edge of the triangle ruler is 8.0, Then the corresponding edge length of the projection triangle is ()
Choices:
A:8cm
B:20cm
C:3.2cm
D:10cm
|
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 homothetic figures are composed of a triangle ruler and its center projection under the light. If the ratio of the distance from the bulb to the vertex of the triangle ruler to the distance from the bulb to the corresponding vertex of the triangular ruler projection is 2.0:5.0, and the length of one edge of the triangle ruler is 8.0, Then the corresponding edge length of the projection triangle is ()
Choices:
A:8cm
B:20cm
C:3.2cm
D:10cm
|
As shown in the figure, the homothetic figures are composed of a triangle ruler and its center projection under the light. If the ratio of the distance from the bulb to the vertex of the triangle ruler to the distance from the bulb to the corresponding vertex of the triangular ruler projection is 2.0:5.0, and the length of one edge of the triangle ruler is 8.0, Then the corresponding edge length of the projection triangle is ()
Choices:
A:8cm
B:20cm
C:3.2cm
D:10cm
|
|
1381
|
277
|
Text Dominant
|
Circles G, J, and K all intersect at L. F H is the diameter of \odot G and G H is the radius. If G H = 10, find F H.
Choices:
A:5
B:10
C:20
D:25
|
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: Circles G, J, and K all intersect at L. F H is the diameter of \odot G and G H is the radius. If G H = 10, find F H.
Choices:
A:5
B:10
C:20
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: Circles G, J, and K all intersect at L. F H is the diameter of \odot G and G H is the radius. If G H = 10, find F H.
Choices:
A:5
B:10
C:20
D:25
|
Circles G, J, and K all intersect at L. F H is the diameter of \odot G and G H is the radius. If G H = 10, find F H.
Choices:
A:5
B:10
C:20
D:25
|
|
956
|
192
|
Text Dominant
|
As shown in the figure, point P is outside circle O. PA and PB are connected. the straight lines PA and PB are the two tangents of circle O. If angle APB = 120.0, the radius of circle O is 10.0, then the length of chord AB is ()
Choices:
A:5
B:10
C:10√{3}
D:5√{3}
|
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, point P is outside circle O. PA and PB are connected. the straight lines PA and PB are the two tangents of circle O. If angle APB = 120.0, the radius of circle O is 10.0, then the length of chord AB is ()
Choices:
A:5
B:10
C:10√{3}
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, point P is outside circle O. PA and PB are connected. the straight lines PA and PB are the two tangents of circle O. If angle APB = 120.0, the radius of circle O is 10.0, then the length of chord AB is ()
Choices:
A:5
B:10
C:10√{3}
D:5√{3}
|
As shown in the figure, point P is outside circle O. PA and PB are connected. the straight lines PA and PB are the two tangents of circle O. If angle APB = 120.0, the radius of circle O is 10.0, then the length of chord AB is ()
Choices:
A:5
B:10
C:10√{3}
D:5√{3}
|
|
1926
|
386
|
Text Dominant
|
In this right-angled triangle, one of the acute angles measures 45^\circ, one leg measuring 4\sqrt{3}. 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: In this right-angled triangle, one of the acute angles measures 45^\circ, one leg measuring 4\sqrt{3}. 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: In this right-angled triangle, one of the acute angles measures 45^\circ, one leg measuring 4\sqrt{3}. Consider the adjacent figure:
Solve for the exact value of x.
|
In this right-angled triangle, one of the acute angles measures 45^\circ, one leg measuring 4\sqrt{3}. Consider the adjacent figure:
Solve for the exact value of x.
|
|
2066
|
414
|
Text Dominant
|
The radius of the figure is $5\mathrm{~cm}$. Find the area of the sector shown.
Round your answer to two decimal places.
|
Area $=73.52\mathrm{~cm}^{2}$
|
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: The radius of the figure is $5\mathrm{~cm}$. Find the area of the sector shown.
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: The radius of the figure is $5\mathrm{~cm}$. Find the area of the sector shown.
Round your answer to two decimal places.
|
The radius of the figure is $5\mathrm{~cm}$. Find the area of the sector shown.
Round your answer to two decimal places.
|
|
2456
|
492
|
Text Dominant
|
The graph of a cubic function f is shown in Figure 18 with a labeled point (1.333, 5.185) at its right part. Based on the calculator screen shot, the point (1.333,5.185) is which of the following?
Choices:
A.a relative (local) maximum of the function
B.the vertex of the function
C.the absolute maximum of the function
D.a zero of the 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: The graph of a cubic function f is shown in Figure 18 with a labeled point (1.333, 5.185) at its right part. Based on the calculator screen shot, the point (1.333,5.185) is which of the following?
Choices:
A.a relative (local) maximum of the function
B.the vertex of the function
C.the absolute maximum of the function
D.a zero of the 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: The graph of a cubic function f is shown in Figure 18 with a labeled point (1.333, 5.185) at its right part. Based on the calculator screen shot, the point (1.333,5.185) is which of the following?
Choices:
A.a relative (local) maximum of the function
B.the vertex of the function
C.the absolute maximum of the function
D.a zero of the function
|
The graph of a cubic function f is shown in Figure 18 with a labeled point (1.333, 5.185) at its right part. Based on the calculator screen shot, the point (1.333,5.185) is which of the following?
Choices:
A.a relative (local) maximum of the function
B.the vertex of the function
C.the absolute maximum of the function
D.a zero of the function
|
|
1716
|
344
|
Text Dominant
|
At a point during the flight, a plane is 42 kilometres south and 57 kilometres west of the airport it left from.
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: At a point during the flight, a plane is 42 kilometres south and 57 kilometres west of the airport it left from.
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: At a point during the flight, a plane is 42 kilometres south and 57 kilometres west of the airport it left from.
Find the size of the angle marked b to one decimal place.
|
At a point during the flight, a plane is 42 kilometres south and 57 kilometres west of the airport it left from.
Find the size of the angle marked b to one decimal place.
|
|
1541
|
309
|
Text Dominant
|
Find x for the equilateral triangle R S T if R S = x + 9, S T = 2 x, and R T = 3 x - 9.
Choices:
A:3
B:6
C:9
D:12
|
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: Find x for the equilateral triangle R S T if R S = x + 9, S T = 2 x, and R T = 3 x - 9.
Choices:
A:3
B:6
C:9
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 x for the equilateral triangle R S T if R S = x + 9, S T = 2 x, and R T = 3 x - 9.
Choices:
A:3
B:6
C:9
D:12
|
Find x for the equilateral triangle R S T if R S = x + 9, S T = 2 x, and R T = 3 x - 9.
Choices:
A:3
B:6
C:9
D:12
|
|
3306
|
662
|
Text Dominant
|
Consider the solid pictured and answer the following:
Hence what is the total surface area? The outer radius is 11 cm, inner radius is 10 cm and length 24 cm.
Give your answer to the nearest two decimal places.
|
$\mathrm{SA}=3298.67 \mathrm{~cm}^{2}$
|
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 solid pictured and answer the following:
Hence what is the total surface area? The outer radius is 11 cm, inner radius is 10 cm and length 24 cm.
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: Consider the solid pictured and answer the following:
Hence what is the total surface area? The outer radius is 11 cm, inner radius is 10 cm and length 24 cm.
Give your answer to the nearest two decimal places.
|
Consider the solid pictured and answer the following:
Hence what is the total surface area? The outer radius is 11 cm, inner radius is 10 cm and length 24 cm.
Give your answer to the nearest two decimal places.
|
|
651
|
131
|
Text Dominant
|
As shown in the figure, in triangle ABC. angle C = 90.0, point D is a moving point on BC (point D does not coincide with point C). The circle with CD as the diameter intersects AD at point P. If AC = 6.0. The minimum length of the line segment BP is 2.0. Then the length of AB is ()
Choices:
A:8
B:2√{10}
C:4√{3}
D:2√{13}
|
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, in triangle ABC. angle C = 90.0, point D is a moving point on BC (point D does not coincide with point C). The circle with CD as the diameter intersects AD at point P. If AC = 6.0. The minimum length of the line segment BP is 2.0. Then the length of AB is ()
Choices:
A:8
B:2√{10}
C:4√{3}
D:2√{13}
|
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 C = 90.0, point D is a moving point on BC (point D does not coincide with point C). The circle with CD as the diameter intersects AD at point P. If AC = 6.0. The minimum length of the line segment BP is 2.0. Then the length of AB is ()
Choices:
A:8
B:2√{10}
C:4√{3}
D:2√{13}
|
As shown in the figure, in triangle ABC. angle C = 90.0, point D is a moving point on BC (point D does not coincide with point C). The circle with CD as the diameter intersects AD at point P. If AC = 6.0. The minimum length of the line segment BP is 2.0. Then the length of AB is ()
Choices:
A:8
B:2√{10}
C:4√{3}
D:2√{13}
|
|
3316
|
664
|
Text Dominant
|
Find the surface area of the sphere shown. The radius is 11 cm.
Round your answer to two decimal places.
|
Surface Area $=1520.53 \mathrm{~cm}^{2}$
|
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 sphere shown. The radius is 11 cm.
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: Find the surface area of the sphere shown. The radius is 11 cm.
Round your answer to two decimal places.
|
Find the surface area of the sphere shown. The radius is 11 cm.
Round your answer to two decimal places.
|
|
496
|
100
|
Text Dominant
|
As shown in the figure, in circle O, AB is the diameter, CD is the chord, AB perpendicular CD, the foot of perpendicular is the point E. Connect CO and AD, if angle BOC = 30.0, then the degree of angle BAD is ()
Choices:
A:30°
B:25°
C:20°
D:15°
|
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 circle O, AB is the diameter, CD is the chord, AB perpendicular CD, the foot of perpendicular is the point E. Connect CO and AD, if angle BOC = 30.0, then the degree of angle BAD is ()
Choices:
A:30°
B:25°
C:20°
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, in circle O, AB is the diameter, CD is the chord, AB perpendicular CD, the foot of perpendicular is the point E. Connect CO and AD, if angle BOC = 30.0, then the degree of angle BAD is ()
Choices:
A:30°
B:25°
C:20°
D:15°
|
As shown in the figure, in circle O, AB is the diameter, CD is the chord, AB perpendicular CD, the foot of perpendicular is the point E. Connect CO and AD, if angle BOC = 30.0, then the degree of angle BAD is ()
Choices:
A:30°
B:25°
C:20°
D:15°
|
|
1861
|
373
|
Text Dominant
|
In the right angled triangle, the marked angle is 30°, the marked right angled side has a length of 8.5, and the diagonal side has a length of P. Consider the adjacent figure:
Solve for the unknown P.
|
17
|
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 right angled triangle, the marked angle is 30°, the marked right angled side has a length of 8.5, and the diagonal side has a length of P. Consider the adjacent figure:
Solve for the unknown P.
|
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 right angled triangle, the marked angle is 30°, the marked right angled side has a length of 8.5, and the diagonal side has a length of P. Consider the adjacent figure:
Solve for the unknown P.
|
In the right angled triangle, the marked angle is 30°, the marked right angled side has a length of 8.5, and the diagonal side has a length of P. Consider the adjacent figure:
Solve for the unknown P.
|
|
436
|
88
|
Text Dominant
|
As shown in the figure, points A, B, and C are on circle O, angle ABO = 22.0, angle ACO = 42.0, then angle BOC is equal to ()
Choices:
A:128°
B:108°
C:86°
D:64°
|
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, points A, B, and C are on circle O, angle ABO = 22.0, angle ACO = 42.0, then angle BOC is equal to ()
Choices:
A:128°
B:108°
C:86°
D:64°
|
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, points A, B, and C are on circle O, angle ABO = 22.0, angle ACO = 42.0, then angle BOC is equal to ()
Choices:
A:128°
B:108°
C:86°
D:64°
|
As shown in the figure, points A, B, and C are on circle O, angle ABO = 22.0, angle ACO = 42.0, then angle BOC is equal to ()
Choices:
A:128°
B:108°
C:86°
D:64°
|
|
2291
|
459
|
Text Dominant
|
Consider the graph of the circle, which has 4 intersection points with axes, shown below.
Complete the statement.
Every point on the circle is exactly _ units away from the point
( _ , _ ).
|
Complete the statement.Every point on the circle is exactly 5 units away from the point (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: Consider the graph of the circle, which has 4 intersection points with axes, shown below.
Complete the statement.
Every point on the circle is exactly _ units away from the 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: Consider the graph of the circle, which has 4 intersection points with axes, shown below.
Complete the statement.
Every point on the circle is exactly _ units away from the point
( _ , _ ).
|
Consider the graph of the circle, which has 4 intersection points with axes, shown below.
Complete the statement.
Every point on the circle is exactly _ units away from the point
( _ , _ ).
|
|
1651
|
331
|
Text Dominant
|
Consider the points on the diagram P, A and N where N denotes the north cardinal point. Angle PAN is 45°.
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. Angle PAN is 45°.
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. Angle PAN is 45°.
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. Angle PAN is 45°.
Using the diagram, find the true bearing of P from A.
|
|
1071
|
215
|
Text Dominant
|
The rectangle is inscribed into the circle with two sides 8 and 6 inches. Find the exact circumference of the circle.
Choices:
A:8 \pi
B:10 \pi
C:16 \pi
D:20 \pi
|
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: The rectangle is inscribed into the circle with two sides 8 and 6 inches. Find the exact circumference of the circle.
Choices:
A:8 \pi
B:10 \pi
C:16 \pi
D:20 \pi
|
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 rectangle is inscribed into the circle with two sides 8 and 6 inches. Find the exact circumference of the circle.
Choices:
A:8 \pi
B:10 \pi
C:16 \pi
D:20 \pi
|
The rectangle is inscribed into the circle with two sides 8 and 6 inches. Find the exact circumference of the circle.
Choices:
A:8 \pi
B:10 \pi
C:16 \pi
D:20 \pi
|
|
2331
|
467
|
Text Dominant
|
Consider the graph of the circle, which has 2 intersection points with axes, below.
State the equation of the circle shown in the graph.
|
x^2+(y+4)^2=4^2
|
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 graph of the circle, which has 2 intersection points with axes, below.
State the equation of the circle shown 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: Consider the graph of the circle, which has 2 intersection points with axes, below.
State the equation of the circle shown in the graph.
|
Consider the graph of the circle, which has 2 intersection points with axes, below.
State the equation of the circle shown in the graph.
|
|
606
|
122
|
Text Dominant
|
As shown in the figure, a sector with a central angle of 120.0 and a radius of 6.0 encloses the side of a cone (the joints are ignored), 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 encloses the side of a cone (the joints are ignored), 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 encloses the side of a cone (the joints are ignored), 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 encloses the side of a cone (the joints are ignored), then the height of the cone is ()
Choices:
A:6
B:8
C:3√{3}
D:4√{2}
|
|
3071
|
615
|
Text Dominant
|
The graph, which is a piecewise function and passes through the origin, shows Jimmy's speed while he is competing in a bike race, the x-axis representing Time and the y-axis representing Speed. 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
|
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: The graph, which is a piecewise function and passes through the origin, shows Jimmy's speed while he is competing in a bike race, the x-axis representing Time and the y-axis representing Speed. 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
|
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, which is a piecewise function and passes through the origin, shows Jimmy's speed while he is competing in a bike race, the x-axis representing Time and the y-axis representing Speed. 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
|
The graph, which is a piecewise function and passes through the origin, shows Jimmy's speed while he is competing in a bike race, the x-axis representing Time and the y-axis representing Speed. 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
|
|
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°
|
|
3501
|
701
|
Text Dominant
|
Find the surface area of the triangular prism shown. The height is 21 cm. The base is an isosceles triangle with waist length of 10 cm and base length of 12 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 triangular prism shown. The height is 21 cm. The base is an isosceles triangle with waist length of 10 cm and base length of 12 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 triangular prism shown. The height is 21 cm. The base is an isosceles triangle with waist length of 10 cm and base length of 12 cm.
|
Find the surface area of the triangular prism shown. The height is 21 cm. The base is an isosceles triangle with waist length of 10 cm and base length of 12 cm.
|
|
356
|
72
|
Text Dominant
|
As shown in the figure, the perimeter of parallelogram ABCD is 16.0, AC and BD intersect at point O, and OE perpendicular AC and it intersects AD at point E, then the perimeter of triangle DCE is ()
Choices:
A:10cm
B:8cm
C:6cm
D:4cm
|
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, the perimeter of parallelogram ABCD is 16.0, AC and BD intersect at point O, and OE perpendicular AC and it intersects AD at point E, then the perimeter of triangle DCE is ()
Choices:
A:10cm
B:8cm
C:6cm
D:4cm
|
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 perimeter of parallelogram ABCD is 16.0, AC and BD intersect at point O, and OE perpendicular AC and it intersects AD at point E, then the perimeter of triangle DCE is ()
Choices:
A:10cm
B:8cm
C:6cm
D:4cm
|
As shown in the figure, the perimeter of parallelogram ABCD is 16.0, AC and BD intersect at point O, and OE perpendicular AC and it intersects AD at point E, then the perimeter of triangle DCE is ()
Choices:
A:10cm
B:8cm
C:6cm
D:4cm
|
|
531
|
107
|
Text Dominant
|
As shown in the figure, AB is the diameter of circle O, and points C and D are on circle O. If angle BOD = 130.0, then the degree of angle ACD is ()
Choices:
A:50°
B:30°
C:25°
D:20°
|
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 is the diameter of circle O, and points C and D are on circle O. If angle BOD = 130.0, then the degree of angle ACD is ()
Choices:
A:50°
B:30°
C:25°
D:20°
|
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 the diameter of circle O, and points C and D are on circle O. If angle BOD = 130.0, then the degree of angle ACD is ()
Choices:
A:50°
B:30°
C:25°
D:20°
|
As shown in the figure, AB is the diameter of circle O, and points C and D are on circle O. If angle BOD = 130.0, then the degree of angle ACD is ()
Choices:
A:50°
B:30°
C:25°
D:20°
|
|
1351
|
271
|
Text Dominant
|
\odot P \cong \odot Q. Chord R S is on \odot P with length 3x and chord T U is on \odot Q with length 7 x - 44. Find x.
Choices:
A:7
B:11
C:22
D:44
|
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: \odot P \cong \odot Q. Chord R S is on \odot P with length 3x and chord T U is on \odot Q with length 7 x - 44. Find x.
Choices:
A:7
B:11
C:22
D:44
|
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: \odot P \cong \odot Q. Chord R S is on \odot P with length 3x and chord T U is on \odot Q with length 7 x - 44. Find x.
Choices:
A:7
B:11
C:22
D:44
|
\odot P \cong \odot Q. Chord R S is on \odot P with length 3x and chord T U is on \odot Q with length 7 x - 44. Find x.
Choices:
A:7
B:11
C:22
D:44
|
|
2176
|
436
|
Text Dominant
|
There is a hyperbola in blue with double arrows intersects with y-axis at -4 and 4. Its asymptote in dashed orange is $y=(4/5)x$ and $y=-(4/5)x$. There is also a green rectangular tangent to the hyperbola. Find the equation of the hyperbola.
|
\frac{y^2}{16}-\frac{x^2}{25}=1
|
free-form
|
{
"split": "testmini",
"source": "Geo2D_collected",
"subject": "Plane Geometry",
"subfield": "Analytic"
}
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Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: There is a hyperbola in blue with double arrows intersects with y-axis at -4 and 4. Its asymptote in dashed orange is $y=(4/5)x$ and $y=-(4/5)x$. There is also a green rectangular tangent to the hyperbola. Find the equation of the hyperbola.
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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 hyperbola in blue with double arrows intersects with y-axis at -4 and 4. Its asymptote in dashed orange is $y=(4/5)x$ and $y=-(4/5)x$. There is also a green rectangular tangent to the hyperbola. Find the equation of the hyperbola.
|
There is a hyperbola in blue with double arrows intersects with y-axis at -4 and 4. Its asymptote in dashed orange is $y=(4/5)x$ and $y=-(4/5)x$. There is also a green rectangular tangent to the hyperbola. Find the equation of the hyperbola.
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511
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103
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Text Dominant
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As shown in the figure, the points A, B, and C are on circle O, and it is known that angle ABC = 130.0, then angle AOC = ()
Choices:
A:100°
B:110°
C:120°
D:130°
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A
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multi-choice
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{
"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 points A, B, and C are on circle O, 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, the points A, B, and C are on circle O, 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, the points A, B, and C are on circle O, and it is known that angle ABC = 130.0, then angle AOC = ()
Choices:
A:100°
B:110°
C:120°
D:130°
|
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