sample_index
stringlengths 2
4
| problem_index
stringlengths 1
3
| problem_version
stringclasses 1
value | question
stringlengths 32
595
| image
imagewidth (px) 420
420
| answer
stringclasses 5
values | question_type
stringclasses 1
value | metadata
dict | query_wo
stringlengths 135
698
| query_cot
stringlengths 172
735
| question_for_eval
stringlengths 32
595
|
|---|---|---|---|---|---|---|---|---|---|---|
18
|
4
|
Vision Intensive
|
As shown in the figure, if angle A = 36.0, then angle C is equal to ()
Choices:
A:36°
B:54°
C:60°
D:27°
|
D
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, if angle A = 36.0, then angle C is equal to ()
Choices:
A:36°
B:54°
C:60°
D:27°
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, if angle A = 36.0, then angle C is equal to ()
Choices:
A:36°
B:54°
C:60°
D:27°
|
As shown in the figure, if angle A = 36.0, then angle C is equal to ()
Choices:
A:36°
B:54°
C:60°
D:27°
|
|
43
|
9
|
Vision Intensive
|
As shown in the figure, if AB = 6.0, then the perimeter of triangle DBE is ()
Choices:
A:6cm
B:7cm
C:8cm
D:9cm
|
A
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, if AB = 6.0, then the perimeter of triangle DBE is ()
Choices:
A:6cm
B:7cm
C:8cm
D:9cm
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, if AB = 6.0, then the perimeter of triangle DBE is ()
Choices:
A:6cm
B:7cm
C:8cm
D:9cm
|
As shown in the figure, if AB = 6.0, then the perimeter of triangle DBE is ()
Choices:
A:6cm
B:7cm
C:8cm
D:9cm
|
|
53
|
11
|
Vision Intensive
|
As shown in the figure, angle C = 36.0, angle BAE = 60.0, then the degree of angle AFC is ()
Choices:
A:84°
B:80°
C:60°
D:90°
|
A
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle C = 36.0, angle BAE = 60.0, then the degree of angle AFC is ()
Choices:
A:84°
B:80°
C:60°
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, angle C = 36.0, angle BAE = 60.0, then the degree of angle AFC is ()
Choices:
A:84°
B:80°
C:60°
D:90°
|
As shown in the figure, angle C = 36.0, angle BAE = 60.0, then the degree of angle AFC is ()
Choices:
A:84°
B:80°
C:60°
D:90°
|
|
58
|
12
|
Vision Intensive
|
As shown in the figure, if angle 1 + angle F = 70.0, then the degree of angle 2 is ()
Choices:
A:20°
B:25°
C:30°
D:40°
|
A
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, if angle 1 + angle F = 70.0, then the degree of angle 2 is ()
Choices:
A:20°
B:25°
C:30°
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: As shown in the figure, if angle 1 + angle F = 70.0, then the degree of angle 2 is ()
Choices:
A:20°
B:25°
C:30°
D:40°
|
As shown in the figure, if angle 1 + angle F = 70.0, then the degree of angle 2 is ()
Choices:
A:20°
B:25°
C:30°
D:40°
|
|
78
|
16
|
Vision Intensive
|
As shown in the figure, angle BOC = 50.0, then the degree of angle OAB is ()
Choices:
A:25°
B:50°
C:60°
D:30°
|
A
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle BOC = 50.0, then the degree of angle OAB is ()
Choices:
A:25°
B:50°
C:60°
D:30°
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, angle BOC = 50.0, then the degree of angle OAB is ()
Choices:
A:25°
B:50°
C:60°
D:30°
|
As shown in the figure, angle BOC = 50.0, then the degree of angle OAB is ()
Choices:
A:25°
B:50°
C:60°
D:30°
|
|
113
|
23
|
Vision Intensive
|
As shown in the figure, If angle C = 65.0, then the degree of angle P is ()
Choices:
A:65°
B:130°
C:50°
D:100°
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, If angle C = 65.0, then the degree of angle P is ()
Choices:
A:65°
B:130°
C:50°
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, If angle C = 65.0, then the degree of angle P is ()
Choices:
A:65°
B:130°
C:50°
D:100°
|
As shown in the figure, If angle C = 65.0, then the degree of angle P is ()
Choices:
A:65°
B:130°
C:50°
D:100°
|
|
133
|
27
|
Vision Intensive
|
As shown in the figure, the plant spacing (the horizontal distance between two adjacent trees) is required to be 4.0. If trees are planted on a hillside with a slope of 0.75, and the plant spacing is also required to be 4.0, then the slope distance between two adjacent trees is ()
Choices:
A:5m
B:6m
C:7m
D:8m
|
A
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Applied",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, the plant spacing (the horizontal distance between two adjacent trees) is required to be 4.0. If trees are planted on a hillside with a slope of 0.75, and the plant spacing is also required to be 4.0, then the slope distance between two adjacent trees is ()
Choices:
A:5m
B:6m
C:7m
D:8m
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, the plant spacing (the horizontal distance between two adjacent trees) is required to be 4.0. If trees are planted on a hillside with a slope of 0.75, and the plant spacing is also required to be 4.0, then the slope distance between two adjacent trees is ()
Choices:
A:5m
B:6m
C:7m
D:8m
|
As shown in the figure, the plant spacing (the horizontal distance between two adjacent trees) is required to be 4.0. If trees are planted on a hillside with a slope of 0.75, and the plant spacing is also required to be 4.0, then the slope distance between two adjacent trees is ()
Choices:
A:5m
B:6m
C:7m
D:8m
|
|
148
|
30
|
Vision Intensive
|
As shown in the figure, then the size of angle AOB is ()
Choices:
A:40°
B:50°
C:60°
D:70°
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, then the size of angle AOB is ()
Choices:
A:40°
B:50°
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, then the size of angle AOB is ()
Choices:
A:40°
B:50°
C:60°
D:70°
|
As shown in the figure, then the size of angle AOB is ()
Choices:
A:40°
B:50°
C:60°
D:70°
|
|
158
|
32
|
Vision Intensive
|
If angle DEF = 52.0, then the degree of angle A is ()
Choices:
A:68°
B:52°
C:76°
D:38°
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: If angle DEF = 52.0, then the degree of angle A is ()
Choices:
A:68°
B:52°
C:76°
D:38°
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: If angle DEF = 52.0, then the degree of angle A is ()
Choices:
A:68°
B:52°
C:76°
D:38°
|
If angle DEF = 52.0, then the degree of angle A is ()
Choices:
A:68°
B:52°
C:76°
D:38°
|
|
208
|
42
|
Vision Intensive
|
AB:AP = 2.0:5.0, AQ = 20.0, then the length of CQ is ()
Choices:
A:8cm
B:12cm
C:30cm
D:50cm
|
B
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Applied",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: AB:AP = 2.0:5.0, AQ = 20.0, then the length of CQ is ()
Choices:
A:8cm
B:12cm
C:30cm
D:50cm
|
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: AB:AP = 2.0:5.0, AQ = 20.0, then the length of CQ is ()
Choices:
A:8cm
B:12cm
C:30cm
D:50cm
|
AB:AP = 2.0:5.0, AQ = 20.0, then the length of CQ is ()
Choices:
A:8cm
B:12cm
C:30cm
D:50cm
|
|
213
|
43
|
Vision Intensive
|
As shown in the figure, angle AOD is 30.0. and the degree of angle AOC is 100.0, then the degree of angle DOB is ()
Choices:
A:40°
B:30°
C:38°
D:15°
|
A
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle AOD is 30.0. and the degree of angle AOC is 100.0, then the degree of angle DOB is ()
Choices:
A:40°
B:30°
C:38°
D:15°
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, angle AOD is 30.0. and the degree of angle AOC is 100.0, then the degree of angle DOB is ()
Choices:
A:40°
B:30°
C:38°
D:15°
|
As shown in the figure, angle AOD is 30.0. and the degree of angle AOC is 100.0, then the degree of angle DOB is ()
Choices:
A:40°
B:30°
C:38°
D:15°
|
|
223
|
45
|
Vision Intensive
|
As shown in the figure, if angle C = 35.0, then the degree of angle AOB is ()
Choices:
A:35°
B:70°
C:105°
D:150°
|
B
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, if angle C = 35.0, then the degree of angle AOB is ()
Choices:
A:35°
B:70°
C:105°
D:150°
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, if angle C = 35.0, then the degree of angle AOB is ()
Choices:
A:35°
B:70°
C:105°
D:150°
|
As shown in the figure, if angle C = 35.0, then the degree of angle AOB is ()
Choices:
A:35°
B:70°
C:105°
D:150°
|
|
228
|
46
|
Vision Intensive
|
As shown in the figure, angle A = 70.0, then the degree of angle 1 is ()
Choices:
A:20°
B:30°
C:70°
D:110°
|
D
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle A = 70.0, then the degree of angle 1 is ()
Choices:
A:20°
B:30°
C:70°
D:110°
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, angle A = 70.0, then the degree of angle 1 is ()
Choices:
A:20°
B:30°
C:70°
D:110°
|
As shown in the figure, angle A = 70.0, then the degree of angle 1 is ()
Choices:
A:20°
B:30°
C:70°
D:110°
|
|
278
|
56
|
Vision Intensive
|
As shown in the figure, angle DCF = 20.0, then angle EOD is equal to ()
Choices:
A:10°
B:20°
C:40°
D:80°
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle DCF = 20.0, then angle EOD is equal to ()
Choices:
A:10°
B:20°
C:40°
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, angle DCF = 20.0, then angle EOD is equal to ()
Choices:
A:10°
B:20°
C:40°
D:80°
|
As shown in the figure, angle DCF = 20.0, then angle EOD is equal to ()
Choices:
A:10°
B:20°
C:40°
D:80°
|
|
308
|
62
|
Vision Intensive
|
As shown in the figure, If angle BAE = 40.0, then the size of angle ACD is ()
Choices:
A:150°
B:140°
C:130°
D:120°
|
B
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, If angle BAE = 40.0, then the size of angle ACD is ()
Choices:
A:150°
B:140°
C:130°
D:120°
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, If angle BAE = 40.0, then the size of angle ACD is ()
Choices:
A:150°
B:140°
C:130°
D:120°
|
As shown in the figure, If angle BAE = 40.0, then the size of angle ACD is ()
Choices:
A:150°
B:140°
C:130°
D:120°
|
|
328
|
66
|
Vision Intensive
|
As shown in the figure, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()
Choices:
A:40°
B:80°
C:90°
D:l00°
|
B
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()
Choices:
A:40°
B:80°
C:90°
D:l00°
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()
Choices:
A:40°
B:80°
C:90°
D:l00°
|
As shown in the figure, angle B = 20.0, angle D = 60.0, then the degree of angle BED is ()
Choices:
A:40°
B:80°
C:90°
D:l00°
|
|
358
|
72
|
Vision Intensive
|
As shown in the figure, the perimeter of ABCD is 16.0, then the perimeter of triangle DCE is ()
Choices:
A:10cm
B:8cm
C:6cm
D:4cm
|
B
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
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 ABCD is 16.0, 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 ABCD is 16.0, then the perimeter of triangle DCE is ()
Choices:
A:10cm
B:8cm
C:6cm
D:4cm
|
As shown in the figure, the perimeter of ABCD is 16.0, then the perimeter of triangle DCE is ()
Choices:
A:10cm
B:8cm
C:6cm
D:4cm
|
|
363
|
73
|
Vision Intensive
|
As shown in the figure, If angle ABC = 70.0, then the degree of angle AOC is equal to ()
Choices:
A:140°
B:130°
C:120°
D:110°
|
A
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, If angle ABC = 70.0, then the degree of angle AOC is equal to ()
Choices:
A:140°
B:130°
C:120°
D:110°
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, If angle ABC = 70.0, then the degree of angle AOC is equal to ()
Choices:
A:140°
B:130°
C:120°
D:110°
|
As shown in the figure, If angle ABC = 70.0, then the degree of angle AOC is equal to ()
Choices:
A:140°
B:130°
C:120°
D:110°
|
|
393
|
79
|
Vision Intensive
|
As shown in the figure, the perimeter of ABCD is 32.0, the perimeter of triangle DCE is ()
Choices:
A:8cm
B:24cm
C:10cm
D:16cm
|
D
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
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 ABCD is 32.0, the perimeter of triangle DCE is ()
Choices:
A:8cm
B:24cm
C:10cm
D:16cm
|
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 ABCD is 32.0, the perimeter of triangle DCE is ()
Choices:
A:8cm
B:24cm
C:10cm
D:16cm
|
As shown in the figure, the perimeter of ABCD is 32.0, the perimeter of triangle DCE is ()
Choices:
A:8cm
B:24cm
C:10cm
D:16cm
|
|
418
|
84
|
Vision Intensive
|
As shown in the figure, circle O has a radius 1.0, if angle BAC = 60.0, then the length of BC is ()
Choices:
A:2
B:2√{3}
C:√{3}
D:2√{2}
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, circle O has a radius 1.0, if angle BAC = 60.0, then the length of BC is ()
Choices:
A:2
B:2√{3}
C:√{3}
D:2√{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, circle O has a radius 1.0, if angle BAC = 60.0, then the length of BC is ()
Choices:
A:2
B:2√{3}
C:√{3}
D:2√{2}
|
As shown in the figure, circle O has a radius 1.0, if angle BAC = 60.0, then the length of BC is ()
Choices:
A:2
B:2√{3}
C:√{3}
D:2√{2}
|
|
428
|
86
|
Vision Intensive
|
As shown in the figure, if the radius of circle O is 2.0, angle BAC = 60.0, then the length of BC is ()
Choices:
A:√{3}
B:2√{3}
C:4
D:4√{3}
|
B
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, if the radius of circle O is 2.0, angle BAC = 60.0, then the length of BC is ()
Choices:
A:√{3}
B:2√{3}
C:4
D:4√{3}
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, if the radius of circle O is 2.0, angle BAC = 60.0, then the length of BC is ()
Choices:
A:√{3}
B:2√{3}
C:4
D:4√{3}
|
As shown in the figure, if the radius of circle O is 2.0, angle BAC = 60.0, then the length of BC is ()
Choices:
A:√{3}
B:2√{3}
C:4
D:4√{3}
|
|
468
|
94
|
Vision Intensive
|
As shown in the figure, angle CAO = 22.5, OC = 6.0, then the length of CD is ()
Choices:
A:6√{2}
B:3√{2}
C:6
D:12
|
A
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle CAO = 22.5, OC = 6.0, then the length of CD is ()
Choices:
A:6√{2}
B:3√{2}
C:6
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: As shown in the figure, angle CAO = 22.5, OC = 6.0, then the length of CD is ()
Choices:
A:6√{2}
B:3√{2}
C:6
D:12
|
As shown in the figure, angle CAO = 22.5, OC = 6.0, then the length of CD is ()
Choices:
A:6√{2}
B:3√{2}
C:6
D:12
|
|
473
|
95
|
Vision Intensive
|
As shown in the figure, If angle A = 60.0, angle ADC = 90.0, then the degree of angle C is ()
Choices:
A:25°
B:27.5°
C:30°
D:35°
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, If angle A = 60.0, angle ADC = 90.0, then the degree of angle C is ()
Choices:
A:25°
B:27.5°
C:30°
D:35°
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, If angle A = 60.0, angle ADC = 90.0, then the degree of angle C is ()
Choices:
A:25°
B:27.5°
C:30°
D:35°
|
As shown in the figure, If angle A = 60.0, angle ADC = 90.0, then the degree of angle C is ()
Choices:
A:25°
B:27.5°
C:30°
D:35°
|
|
488
|
98
|
Vision Intensive
|
As shown in the figure, given the angle of circumference angle A = 50.0, then the size of angle OBC is ()
Choices:
A:50°
B:40°
C:130°
D:80°
|
B
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
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 A = 50.0, then the size of angle OBC is ()
Choices:
A:50°
B:40°
C:130°
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, given the angle of circumference angle A = 50.0, then the size of angle OBC is ()
Choices:
A:50°
B:40°
C:130°
D:80°
|
As shown in the figure, given the angle of circumference angle A = 50.0, then the size of angle OBC is ()
Choices:
A:50°
B:40°
C:130°
D:80°
|
|
498
|
100
|
Vision Intensive
|
As shown in the figure, if angle BOC = 30.0, then the degree of angle BAD is ()
Choices:
A:30°
B:25°
C:20°
D:15°
|
D
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, if angle 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, 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, if angle BOC = 30.0, then the degree of angle BAD is ()
Choices:
A:30°
B:25°
C:20°
D:15°
|
|
503
|
101
|
Vision Intensive
|
As shown in the figure, and angle AOC = 126.0, then angle CDB = ()
Choices:
A:54°
B:64°
C:27°
D:37°
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, and angle AOC = 126.0, then angle CDB = ()
Choices:
A:54°
B:64°
C:27°
D:37°
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, and angle AOC = 126.0, then angle CDB = ()
Choices:
A:54°
B:64°
C:27°
D:37°
|
As shown in the figure, and angle AOC = 126.0, then angle CDB = ()
Choices:
A:54°
B:64°
C:27°
D:37°
|
|
533
|
107
|
Vision Intensive
|
As shown in the figure, If angle BOD = 130.0, then the degree of angle ACD is ()
Choices:
A:50°
B:30°
C:25°
D:20°
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, If angle 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, 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, If angle BOD = 130.0, then the degree of angle ACD is ()
Choices:
A:50°
B:30°
C:25°
D:20°
|
|
588
|
118
|
Vision Intensive
|
As shown in the figure, the expanded figure of the lateral surface of a cone is a semicircle with a radius of 10.0, then the radius of its bottom is ()
Choices:
A:3
B:4
C:5
D:6
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, the expanded figure of the lateral surface of a cone is a semicircle with a radius of 10.0, then the radius of its bottom is ()
Choices:
A:3
B:4
C:5
D:6
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, the expanded figure of the lateral surface of a cone is a semicircle with a radius of 10.0, then the radius of its bottom is ()
Choices:
A:3
B:4
C:5
D:6
|
As shown in the figure, the expanded figure of the lateral surface of a cone is a semicircle with a radius of 10.0, then the radius of its bottom is ()
Choices:
A:3
B:4
C:5
D:6
|
|
648
|
130
|
Vision Intensive
|
As shown in the figure, the length of chord AB is 10.0, and the angle of circumference angle ACB = 45.0, then the diameter of the circle AD is ()
Choices:
A:5√{2}
B:10√{2}
C:15√{2}
D:20√{2}
|
B
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, the length of chord AB is 10.0, and the angle of circumference angle ACB = 45.0, then the diameter of the circle AD is ()
Choices:
A:5√{2}
B:10√{2}
C:15√{2}
D:20√{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, the length of chord AB is 10.0, and the angle of circumference angle ACB = 45.0, then the diameter of the circle AD is ()
Choices:
A:5√{2}
B:10√{2}
C:15√{2}
D:20√{2}
|
As shown in the figure, the length of chord AB is 10.0, and the angle of circumference angle ACB = 45.0, then the diameter of the circle AD is ()
Choices:
A:5√{2}
B:10√{2}
C:15√{2}
D:20√{2}
|
|
698
|
140
|
Vision Intensive
|
As shown in the figure, Lin Dan, the athlete standing at M in the field, clicks the request from N to point B in the opponent. It is known that the net height OA = 1.52, OB = 4.0, OM = 5.0, then when Lin Dan takes off, the distance from the hitting point to the ground NM = ()
Choices:
A:3.42m
B:1.9m
C:3m
D:3.24m
|
A
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Applied",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, Lin Dan, the athlete standing at M in the field, clicks the request from N to point B in the opponent. It is known that the net height OA = 1.52, OB = 4.0, OM = 5.0, then when Lin Dan takes off, the distance from the hitting point to the ground NM = ()
Choices:
A:3.42m
B:1.9m
C:3m
D:3.24m
|
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, Lin Dan, the athlete standing at M in the field, clicks the request from N to point B in the opponent. It is known that the net height OA = 1.52, OB = 4.0, OM = 5.0, then when Lin Dan takes off, the distance from the hitting point to the ground NM = ()
Choices:
A:3.42m
B:1.9m
C:3m
D:3.24m
|
As shown in the figure, Lin Dan, the athlete standing at M in the field, clicks the request from N to point B in the opponent. It is known that the net height OA = 1.52, OB = 4.0, OM = 5.0, then when Lin Dan takes off, the distance from the hitting point to the ground NM = ()
Choices:
A:3.42m
B:1.9m
C:3m
D:3.24m
|
|
743
|
149
|
Vision Intensive
|
As shown in the figure, and AC = 3.0, BD = 6.0, CD = 10.0, then the length of the line segment ED is ()
Choices:
A:\frac{20}{3}
B:\frac{10}{3}
C:7
D:\frac{14}{3}
|
A
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Applied",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, and AC = 3.0, BD = 6.0, CD = 10.0, then the length of the line segment ED is ()
Choices:
A:\frac{20}{3}
B:\frac{10}{3}
C:7
D:\frac{14}{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, and AC = 3.0, BD = 6.0, CD = 10.0, then the length of the line segment ED is ()
Choices:
A:\frac{20}{3}
B:\frac{10}{3}
C:7
D:\frac{14}{3}
|
As shown in the figure, and AC = 3.0, BD = 6.0, CD = 10.0, then the length of the line segment ED is ()
Choices:
A:\frac{20}{3}
B:\frac{10}{3}
C:7
D:\frac{14}{3}
|
|
768
|
154
|
Vision Intensive
|
As shown in the figure, the foot of the ladder B is away from the wall 1.6, the point D on the ladder is away from the wall 1.4, the length of BD is 0.55, then the length of the ladder is ()
Choices:
A:3.85米
B:4.00米
C:4.40米
D:4.50米
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Applied",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, the foot of the ladder B is away from the wall 1.6, the point D on the ladder is away from the wall 1.4, the length of BD is 0.55, then the length of the ladder is ()
Choices:
A:3.85米
B:4.00米
C:4.40米
D:4.50米
|
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 foot of the ladder B is away from the wall 1.6, the point D on the ladder is away from the wall 1.4, the length of BD is 0.55, then the length of the ladder is ()
Choices:
A:3.85米
B:4.00米
C:4.40米
D:4.50米
|
As shown in the figure, the foot of the ladder B is away from the wall 1.6, the point D on the ladder is away from the wall 1.4, the length of BD is 0.55, then the length of the ladder is ()
Choices:
A:3.85米
B:4.00米
C:4.40米
D:4.50米
|
|
788
|
158
|
Vision Intensive
|
As shown in the figure, AC = 4.0, BC = 3.0, then the value of sinB is equal to ()
Choices:
A:\frac{4}{3}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{3}{5}
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AC = 4.0, BC = 3.0, then the value of sinB is equal to ()
Choices:
A:\frac{4}{3}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{3}{5}
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AC = 4.0, BC = 3.0, then the value of sinB is equal to ()
Choices:
A:\frac{4}{3}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{3}{5}
|
As shown in the figure, AC = 4.0, BC = 3.0, then the value of sinB is equal to ()
Choices:
A:\frac{4}{3}
B:\frac{3}{4}
C:\frac{4}{5}
D:\frac{3}{5}
|
|
808
|
162
|
Vision Intensive
|
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
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
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°
|
|
818
|
164
|
Vision Intensive
|
As shown in the figure, AB = 5.0, AC = 4.0, then the value of sinA is ()
Choices:
A:\frac{3}{4}
B:\frac{4}{5}
C:\frac{3}{5}
D:\frac{5}{3}
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AB = 5.0, AC = 4.0, then the value of sinA is ()
Choices:
A:\frac{3}{4}
B:\frac{4}{5}
C:\frac{3}{5}
D:\frac{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, AB = 5.0, AC = 4.0, then the value of sinA is ()
Choices:
A:\frac{3}{4}
B:\frac{4}{5}
C:\frac{3}{5}
D:\frac{5}{3}
|
As shown in the figure, AB = 5.0, AC = 4.0, then the value of sinA is ()
Choices:
A:\frac{3}{4}
B:\frac{4}{5}
C:\frac{3}{5}
D:\frac{5}{3}
|
|
828
|
166
|
Vision Intensive
|
As shown in the figure, AC = 3.0, AB = 4.0, then sinB is equal to ()
Choices:
A:\frac{3}{4}
B:\frac{3}{5}
C:\frac{4}{5}
D:\frac{5}{4}
|
B
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AC = 3.0, AB = 4.0, then sinB is equal to ()
Choices:
A:\frac{3}{4}
B:\frac{3}{5}
C:\frac{4}{5}
D:\frac{5}{4}
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AC = 3.0, AB = 4.0, then sinB is equal to ()
Choices:
A:\frac{3}{4}
B:\frac{3}{5}
C:\frac{4}{5}
D:\frac{5}{4}
|
As shown in the figure, AC = 3.0, AB = 4.0, then sinB is equal to ()
Choices:
A:\frac{3}{4}
B:\frac{3}{5}
C:\frac{4}{5}
D:\frac{5}{4}
|
|
838
|
168
|
Vision Intensive
|
As shown in the figure, then the value of tanα is ()
Choices:
A:\frac{2}{3}
B:\frac{3}{2}
C:\frac{2√{13}}{13}
D:\frac{3√{13}}{13}
|
B
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, then the value of tanα is ()
Choices:
A:\frac{2}{3}
B:\frac{3}{2}
C:\frac{2√{13}}{13}
D:\frac{3√{13}}{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, then the value of tanα is ()
Choices:
A:\frac{2}{3}
B:\frac{3}{2}
C:\frac{2√{13}}{13}
D:\frac{3√{13}}{13}
|
As shown in the figure, then the value of tanα is ()
Choices:
A:\frac{2}{3}
B:\frac{3}{2}
C:\frac{2√{13}}{13}
D:\frac{3√{13}}{13}
|
|
843
|
169
|
Vision Intensive
|
As shown in the figure, AC = 4.0, tanA = frac {1.0}{2.0}, then the length of BC is ()
Choices:
A:2
B:8
C:2√{5}
D:4√{5}
|
A
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AC = 4.0, tanA = frac {1.0}{2.0}, then the length of BC is ()
Choices:
A:2
B:8
C:2√{5}
D:4√{5}
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, AC = 4.0, tanA = frac {1.0}{2.0}, then the length of BC is ()
Choices:
A:2
B:8
C:2√{5}
D:4√{5}
|
As shown in the figure, AC = 4.0, tanA = frac {1.0}{2.0}, then the length of BC is ()
Choices:
A:2
B:8
C:2√{5}
D:4√{5}
|
|
863
|
173
|
Vision Intensive
|
As shown in the figure, angle BOD = 50.0, then the degree of angle BAD is ()
Choices:
A:50°
B:40°
C:25°
D:35°
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, angle BOD = 50.0, then the degree of angle BAD is ()
Choices:
A:50°
B:40°
C:25°
D:35°
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, angle BOD = 50.0, then the degree of angle BAD is ()
Choices:
A:50°
B:40°
C:25°
D:35°
|
As shown in the figure, angle BOD = 50.0, then the degree of angle BAD is ()
Choices:
A:50°
B:40°
C:25°
D:35°
|
|
873
|
175
|
Vision Intensive
|
As shown in the figure, if angle OBC = 40.0, then the degree of angle AOB is ()
Choices:
A:40°
B:50°
C:80°
D:100°
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, if angle OBC = 40.0, then the degree of angle AOB is ()
Choices:
A:40°
B:50°
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, if angle OBC = 40.0, then the degree of angle AOB is ()
Choices:
A:40°
B:50°
C:80°
D:100°
|
As shown in the figure, if angle OBC = 40.0, then the degree of angle AOB is ()
Choices:
A:40°
B:50°
C:80°
D:100°
|
|
888
|
178
|
Vision Intensive
|
As shown in the figure, if angle ACB = 30.0, AB = 6.0, then the radius of circle O is ()
Choices:
A:3
B:2√{3}
C:6
D:4√{3}
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, if angle ACB = 30.0, AB = 6.0, then the radius of circle O is ()
Choices:
A:3
B:2√{3}
C:6
D:4√{3}
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, if angle ACB = 30.0, AB = 6.0, then the radius of circle O is ()
Choices:
A:3
B:2√{3}
C:6
D:4√{3}
|
As shown in the figure, if angle ACB = 30.0, AB = 6.0, then the radius of circle O is ()
Choices:
A:3
B:2√{3}
C:6
D:4√{3}
|
|
903
|
181
|
Vision Intensive
|
As shown in the figure, if OC = 5.0, AC = 6.0, then the length of BC is ()
Choices:
A:10
B:9
C:8
D:无法确定
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, if OC = 5.0, AC = 6.0, then the length of BC is ()
Choices:
A:10
B:9
C:8
D:无法确定
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, if OC = 5.0, AC = 6.0, then the length of BC is ()
Choices:
A:10
B:9
C:8
D:无法确定
|
As shown in the figure, if OC = 5.0, AC = 6.0, then the length of BC is ()
Choices:
A:10
B:9
C:8
D:无法确定
|
|
918
|
184
|
Vision Intensive
|
As shown in the figure, in the circle O with a radius of 2.0, given that angle DAC = 30.0, the length of the line segment CD is ()
Choices:
A:1
B:√{3}
C:2
D:2√{3}
|
D
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
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 circle O with a radius of 2.0, given that angle DAC = 30.0, the length of the line segment CD is ()
Choices:
A:1
B:√{3}
C:2
D:2√{3}
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, in the circle O with a radius of 2.0, given that angle DAC = 30.0, the length of the line segment CD is ()
Choices:
A:1
B:√{3}
C:2
D:2√{3}
|
As shown in the figure, in the circle O with a radius of 2.0, given that angle DAC = 30.0, the length of the line segment CD is ()
Choices:
A:1
B:√{3}
C:2
D:2√{3}
|
|
938
|
188
|
Vision Intensive
|
As shown in the figure, If angle B = 45.0 and the length of AB is 2.0, then the length of BC is ()
Choices:
A:2√{2}-1
B:√{2}
C:2√{2}-2
D:2-√{2}
|
C
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, If angle B = 45.0 and the length of AB is 2.0, then the length of BC is ()
Choices:
A:2√{2}-1
B:√{2}
C:2√{2}-2
D:2-√{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, If angle B = 45.0 and the length of AB is 2.0, then the length of BC is ()
Choices:
A:2√{2}-1
B:√{2}
C:2√{2}-2
D:2-√{2}
|
As shown in the figure, If angle B = 45.0 and the length of AB is 2.0, then the length of BC is ()
Choices:
A:2√{2}-1
B:√{2}
C:2√{2}-2
D:2-√{2}
|
|
943
|
189
|
Vision Intensive
|
As shown in the figure, AB, AC, and BD are the tangents of circle O, and the tangent points are P, C, and D respectively. If AB = 5.0, AC = 3.0, then the length of BD is ()
Choices:
A:1.5
B:2
C:2.5
D:3
|
B
|
multi-choice
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, AB, AC, and BD are the tangents of circle O, and the tangent points are P, C, and D respectively. If AB = 5.0, AC = 3.0, then the length of BD is ()
Choices:
A:1.5
B:2
C:2.5
D: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, AB, AC, and BD are the tangents of circle O, and the tangent points are P, C, and D respectively. If AB = 5.0, AC = 3.0, then the length of BD is ()
Choices:
A:1.5
B:2
C:2.5
D:3
|
As shown in the figure, AB, AC, and BD are the tangents of circle O, and the tangent points are P, C, and D respectively. If AB = 5.0, AC = 3.0, then the length of BD is ()
Choices:
A:1.5
B:2
C:2.5
D:3
|
|
948
|
190
|
Vision Intensive
|
As shown in the figure, 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
|
{
"source": "GeoQA",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, 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, 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, given that angle P = 50.0, then the size of angle ACB is ()
Choices:
A:65°
B:60°
C:55°
D:50°
|
|
988
|
198
|
Vision Intensive
|
Find the area of the figure.
Choices:
A:30
B:60
C:120
D:240
|
B
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Area",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find the area of the figure.
Choices:
A:30
B:60
C:120
D:240
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find the area of the figure.
Choices:
A:30
B:60
C:120
D:240
|
Find the area of the figure.
Choices:
A:30
B:60
C:120
D:240
|
|
993
|
199
|
Vision Intensive
|
Circle O has a radius of 13 inches. Chord C D is 24 inches long. Find O X.
Choices:
A:5
B:12
C:13
D:26
|
A
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Circle O has a radius of 13 inches. Chord C D is 24 inches long. Find O X.
Choices:
A:5
B:12
C:13
D:26
|
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: Circle O has a radius of 13 inches. Chord C D is 24 inches long. Find O X.
Choices:
A:5
B:12
C:13
D:26
|
Circle O has a radius of 13 inches. Chord C D is 24 inches long. Find O X.
Choices:
A:5
B:12
C:13
D:26
|
|
1048
|
210
|
Vision Intensive
|
Find A E if A B = 12, A C = 16, and E D = 5.
Choices:
A:12
B:15
C:16
D:20
|
B
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find A E if A B = 12, A C = 16, and E D = 5.
Choices:
A:12
B:15
C:16
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: Find A E if A B = 12, A C = 16, and E D = 5.
Choices:
A:12
B:15
C:16
D:20
|
Find A E if A B = 12, A C = 16, and E D = 5.
Choices:
A:12
B:15
C:16
D:20
|
|
1108
|
222
|
Vision Intensive
|
Use the given areas to find x.
Choices:
A:1
B:2
C:8
D:16
|
C
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Use the given areas to find x.
Choices:
A:1
B:2
C:8
D:16
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Use the given areas to find x.
Choices:
A:1
B:2
C:8
D:16
|
Use the given areas to find x.
Choices:
A:1
B:2
C:8
D:16
|
|
1118
|
224
|
Vision Intensive
|
In the figure, a polygon is within in a circle. Find the measure of a central angle.
Choices:
A:30
B:60
C:90
D:120
|
B
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure, a polygon is within in a circle. Find the measure of a central angle.
Choices:
A:30
B:60
C:90
D:120
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure, a polygon is within in a circle. Find the measure of a central angle.
Choices:
A:30
B:60
C:90
D:120
|
In the figure, a polygon is within in a circle. Find the measure of a central angle.
Choices:
A:30
B:60
C:90
D:120
|
|
1138
|
228
|
Vision Intensive
|
There is a triangle with hypotenuse length 17. Find x.
Choices:
A:\frac { 17 } { 2 }
B:\frac { 17 } { 2 } \sqrt { 2 }
C:\frac { 17 } { 2 } \sqrt { 3 }
D:17
|
C
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: There is a triangle with hypotenuse length 17. Find x.
Choices:
A:\frac { 17 } { 2 }
B:\frac { 17 } { 2 } \sqrt { 2 }
C:\frac { 17 } { 2 } \sqrt { 3 }
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: There is a triangle with hypotenuse length 17. Find x.
Choices:
A:\frac { 17 } { 2 }
B:\frac { 17 } { 2 } \sqrt { 2 }
C:\frac { 17 } { 2 } \sqrt { 3 }
D:17
|
There is a triangle with hypotenuse length 17. Find x.
Choices:
A:\frac { 17 } { 2 }
B:\frac { 17 } { 2 } \sqrt { 2 }
C:\frac { 17 } { 2 } \sqrt { 3 }
D:17
|
|
1178
|
236
|
Vision Intensive
|
Find x.
Choices:
A:60
B:80
C:90
D:120
|
C
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find x.
Choices:
A:60
B:80
C:90
D:120
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find x.
Choices:
A:60
B:80
C:90
D:120
|
Find x.
Choices:
A:60
B:80
C:90
D:120
|
|
1203
|
241
|
Vision Intensive
|
In the triangle with hypotenuse length 20, find y.
Choices:
A:4
B:6
C:8
D:10
|
D
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the triangle with hypotenuse length 20, find y.
Choices:
A:4
B:6
C:8
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: In the triangle with hypotenuse length 20, find y.
Choices:
A:4
B:6
C:8
D:10
|
In the triangle with hypotenuse length 20, find y.
Choices:
A:4
B:6
C:8
D:10
|
|
1213
|
243
|
Vision Intensive
|
A plane travels from Des Moines to Phoenix, on to Atlanta, and back to Des Moines, as shown below. Find the distance in miles from Phoenix to Atlanta if the total trip was 3482 miles.
Choices:
A:53
B:73.8
C:110
D:1591
|
D
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Applied",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: A plane travels from Des Moines to Phoenix, on to Atlanta, and back to Des Moines, as shown below. Find the distance in miles from Phoenix to Atlanta if the total trip was 3482 miles.
Choices:
A:53
B:73.8
C:110
D:1591
|
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 plane travels from Des Moines to Phoenix, on to Atlanta, and back to Des Moines, as shown below. Find the distance in miles from Phoenix to Atlanta if the total trip was 3482 miles.
Choices:
A:53
B:73.8
C:110
D:1591
|
A plane travels from Des Moines to Phoenix, on to Atlanta, and back to Des Moines, as shown below. Find the distance in miles from Phoenix to Atlanta if the total trip was 3482 miles.
Choices:
A:53
B:73.8
C:110
D:1591
|
|
1283
|
257
|
Vision Intensive
|
If A B = 12, A C = 16, and E D = 5, find A E.
Choices:
A:10
B:12
C:15
D:16
|
C
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: If A B = 12, A C = 16, and E D = 5, find A E.
Choices:
A:10
B:12
C:15
D:16
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: If A B = 12, A C = 16, and E D = 5, find A E.
Choices:
A:10
B:12
C:15
D:16
|
If A B = 12, A C = 16, and E D = 5, find A E.
Choices:
A:10
B:12
C:15
D:16
|
|
1373
|
275
|
Vision Intensive
|
A B = 2 x + 3 and B C = 5 x. Find m \angle A E B.
Choices:
A:45
B:60
C:90
D:180
|
C
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: A B = 2 x + 3 and B C = 5 x. Find m \angle A E B.
Choices:
A:45
B:60
C:90
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: A B = 2 x + 3 and B C = 5 x. Find m \angle A E B.
Choices:
A:45
B:60
C:90
D:180
|
A B = 2 x + 3 and B C = 5 x. Find m \angle A E B.
Choices:
A:45
B:60
C:90
D:180
|
|
1433
|
287
|
Vision Intensive
|
Find m \angle 1.
Choices:
A:21
B:27
C:52
D:79
|
D
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Angle",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find m \angle 1.
Choices:
A:21
B:27
C:52
D:79
|
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 m \angle 1.
Choices:
A:21
B:27
C:52
D:79
|
Find m \angle 1.
Choices:
A:21
B:27
C:52
D:79
|
|
1443
|
289
|
Vision Intensive
|
If P S = 12.5, S R = 5, and P T = 15, find T Q.
Choices:
A:5
B:6
C:6.5
D:12.5
|
B
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: If P S = 12.5, S R = 5, and P T = 15, find T Q.
Choices:
A:5
B:6
C:6.5
D:12.5
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: If P S = 12.5, S R = 5, and P T = 15, find T Q.
Choices:
A:5
B:6
C:6.5
D:12.5
|
If P S = 12.5, S R = 5, and P T = 15, find T Q.
Choices:
A:5
B:6
C:6.5
D:12.5
|
|
1478
|
296
|
Vision Intensive
|
Find x.
Choices:
A:2
B:5
C:6
D:9
|
B
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find x.
Choices:
A:2
B:5
C:6
D:9
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find x.
Choices:
A:2
B:5
C:6
D:9
|
Find x.
Choices:
A:2
B:5
C:6
D:9
|
|
1563
|
313
|
Vision Intensive
|
Find the area of the figure. Round to the nearest tenth.
Choices:
A:19.5
B:30.2
C:60.4
D:120.8
|
B
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Area",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Find the area of the figure. Round to the nearest tenth.
Choices:
A:19.5
B:30.2
C:60.4
D:120.8
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Find the area of the figure. Round to the nearest tenth.
Choices:
A:19.5
B:30.2
C:60.4
D:120.8
|
Find the area of the figure. Round to the nearest tenth.
Choices:
A:19.5
B:30.2
C:60.4
D:120.8
|
|
1613
|
323
|
Vision Intensive
|
The length from D to the diagonal intersection point is 5, and the length from C to the diagonal intersection point is 12. Find B C.
Choices:
A:5
B:9
C:12
D:13
|
D
|
multi-choice
|
{
"source": "Geometry3K",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: The length from D to the diagonal intersection point is 5, and the length from C to the diagonal intersection point is 12. Find B C.
Choices:
A:5
B:9
C:12
D: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: The length from D to the diagonal intersection point is 5, and the length from C to the diagonal intersection point is 12. Find B C.
Choices:
A:5
B:9
C:12
D:13
|
The length from D to the diagonal intersection point is 5, and the length from C to the diagonal intersection point is 12. Find B C.
Choices:
A:5
B:9
C:12
D:13
|
|
2383
|
477
|
Vision Intensive
|
Determine if this relation is a function.
Choices:
A:This is a function
B:This is not a function
|
A
|
multi-choice
|
{
"source": "Functions_collected",
"split": "testmini",
"subfield": "Property",
"subject": "Functions"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: 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: Determine if this relation is a function.
Choices:
A:This is a function
B:This is not a function
|
Determine if this relation is a function.
Choices:
A:This is a function
B:This is not a function
|
|
2618
|
524
|
Vision Intensive
|
What is the value of the y-coordinate of point A?
Choices:
A:$\sin \left(0^{\circ}\right)$
B:$\cos \left(0^{\circ}\right)$
C:$\sin \left(90^{\circ}\right)$
D:$\cos \left(90^{\circ}\right)$
E:$\hline \sin \left(270^{\circ}\right)$
F:$\cos \left(270^{\circ}\right)$
|
E
|
multi-choice
|
{
"source": "Functions_collected",
"split": "testmini",
"subfield": "Coordinate",
"subject": "Functions"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: What is the value of the y-coordinate of point A?
Choices:
A:$\sin \left(0^{\circ}\right)$
B:$\cos \left(0^{\circ}\right)$
C:$\sin \left(90^{\circ}\right)$
D:$\cos \left(90^{\circ}\right)$
E:$\hline \sin \left(270^{\circ}\right)$
F:$\cos \left(270^{\circ}\right)$
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is the value of the y-coordinate of point A?
Choices:
A:$\sin \left(0^{\circ}\right)$
B:$\cos \left(0^{\circ}\right)$
C:$\sin \left(90^{\circ}\right)$
D:$\cos \left(90^{\circ}\right)$
E:$\hline \sin \left(270^{\circ}\right)$
F:$\cos \left(270^{\circ}\right)$
|
What is the value of the y-coordinate of point A?
Choices:
A:$\sin \left(0^{\circ}\right)$
B:$\cos \left(0^{\circ}\right)$
C:$\sin \left(90^{\circ}\right)$
D:$\cos \left(90^{\circ}\right)$
E:$\hline \sin \left(270^{\circ}\right)$
F:$\cos \left(270^{\circ}\right)$
|
|
2638
|
528
|
Vision Intensive
|
Which of the coordinates is equal to $\cos (\pi)$ ?
Choices:
A:$x$-coordinate of point $A$
B:$y$-coordinate of point $A$
C:$x$-coordinate of point $B$
D:$y$-coordinate of point $B$
E:$x$-coordinate of point $C$
F:$y$-coordinate of point $C$
|
E
|
multi-choice
|
{
"source": "Functions_collected",
"split": "testmini",
"subfield": "Coordinate",
"subject": "Functions"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Which of the coordinates is equal to $\cos (\pi)$ ?
Choices:
A:$x$-coordinate of point $A$
B:$y$-coordinate of point $A$
C:$x$-coordinate of point $B$
D:$y$-coordinate of point $B$
E:$x$-coordinate of point $C$
F:$y$-coordinate of point $C$
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Which of the coordinates is equal to $\cos (\pi)$ ?
Choices:
A:$x$-coordinate of point $A$
B:$y$-coordinate of point $A$
C:$x$-coordinate of point $B$
D:$y$-coordinate of point $B$
E:$x$-coordinate of point $C$
F:$y$-coordinate of point $C$
|
Which of the coordinates is equal to $\cos (\pi)$ ?
Choices:
A:$x$-coordinate of point $A$
B:$y$-coordinate of point $A$
C:$x$-coordinate of point $B$
D:$y$-coordinate of point $B$
E:$x$-coordinate of point $C$
F:$y$-coordinate of point $C$
|
|
2718
|
544
|
Vision Intensive
|
Kai is swinging on a trapeze in a circus show. The horizontal distance between Kai and the edge of the stage, in meters, is modeled by $D(t)$ where $t$ is the time in seconds. What is the meaning of the highlighted segment?
Choices:
A:Kai completes 10 swing cycles per second.
B:The trapeze is hung $\mathbf{1 0}$ meters from the edge of the stage.
C:Kai completes a single swing cycle in 10 seconds.
D:The trapeze is $\mathbf{1 0}$ meters long.
|
C
|
multi-choice
|
{
"source": "Functions_collected",
"split": "testmini",
"subfield": "Applied",
"subject": "Functions"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Kai is swinging on a trapeze in a circus show. The horizontal distance between Kai and the edge of the stage, in meters, is modeled by $D(t)$ where $t$ is the time in seconds. What is the meaning of the highlighted segment?
Choices:
A:Kai completes 10 swing cycles per second.
B:The trapeze is hung $\mathbf{1 0}$ meters from the edge of the stage.
C:Kai completes a single swing cycle in 10 seconds.
D:The trapeze is $\mathbf{1 0}$ meters long.
|
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: Kai is swinging on a trapeze in a circus show. The horizontal distance between Kai and the edge of the stage, in meters, is modeled by $D(t)$ where $t$ is the time in seconds. What is the meaning of the highlighted segment?
Choices:
A:Kai completes 10 swing cycles per second.
B:The trapeze is hung $\mathbf{1 0}$ meters from the edge of the stage.
C:Kai completes a single swing cycle in 10 seconds.
D:The trapeze is $\mathbf{1 0}$ meters long.
|
Kai is swinging on a trapeze in a circus show. The horizontal distance between Kai and the edge of the stage, in meters, is modeled by $D(t)$ where $t$ is the time in seconds. What is the meaning of the highlighted segment?
Choices:
A:Kai completes 10 swing cycles per second.
B:The trapeze is hung $\mathbf{1 0}$ meters from the edge of the stage.
C:Kai completes a single swing cycle in 10 seconds.
D:The trapeze is $\mathbf{1 0}$ meters long.
|
|
2738
|
548
|
Vision Intensive
|
Emile is observing a wind turbine. The vertical distance between the ground and the tip of one of the turbine's blades, in meters, is modeled by $H(t)$ where $t$ is the time in seconds. What is the meaning of the highlighted segment?
Choices:
A:The turbine's center is 35 meters above the ground.
B:The turbine completes a single cycle in 35 seconds.
C:The length of the blade is 35 meters.
D:The turbine has 35 blades.
|
A
|
multi-choice
|
{
"source": "Functions_collected",
"split": "testmini",
"subfield": "Applied",
"subject": "Functions"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Emile is observing a wind turbine. The vertical distance between the ground and the tip of one of the turbine's blades, in meters, is modeled by $H(t)$ where $t$ is the time in seconds. What is the meaning of the highlighted segment?
Choices:
A:The turbine's center is 35 meters above the ground.
B:The turbine completes a single cycle in 35 seconds.
C:The length of the blade is 35 meters.
D:The turbine has 35 blades.
|
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: Emile is observing a wind turbine. The vertical distance between the ground and the tip of one of the turbine's blades, in meters, is modeled by $H(t)$ where $t$ is the time in seconds. What is the meaning of the highlighted segment?
Choices:
A:The turbine's center is 35 meters above the ground.
B:The turbine completes a single cycle in 35 seconds.
C:The length of the blade is 35 meters.
D:The turbine has 35 blades.
|
Emile is observing a wind turbine. The vertical distance between the ground and the tip of one of the turbine's blades, in meters, is modeled by $H(t)$ where $t$ is the time in seconds. What is the meaning of the highlighted segment?
Choices:
A:The turbine's center is 35 meters above the ground.
B:The turbine completes a single cycle in 35 seconds.
C:The length of the blade is 35 meters.
D:The turbine has 35 blades.
|
|
2793
|
559
|
Vision Intensive
|
What is the range of g?
Choices:
A:-4 \leq g(x) \leq 9
B:The $g(x)$-values $-5,-2,1,3$, and 4
C:The $g(x)$-values $-4,0$, and 9
D:-5 \leq g(x) \leq 4
|
A
|
multi-choice
|
{
"source": "Functions_collected",
"split": "testmini",
"subfield": "Property",
"subject": "Functions"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: What is the range of g?
Choices:
A:-4 \leq g(x) \leq 9
B:The $g(x)$-values $-5,-2,1,3$, and 4
C:The $g(x)$-values $-4,0$, and 9
D:-5 \leq g(x) \leq 4
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is the range of g?
Choices:
A:-4 \leq g(x) \leq 9
B:The $g(x)$-values $-5,-2,1,3$, and 4
C:The $g(x)$-values $-4,0$, and 9
D:-5 \leq g(x) \leq 4
|
What is the range of g?
Choices:
A:-4 \leq g(x) \leq 9
B:The $g(x)$-values $-5,-2,1,3$, and 4
C:The $g(x)$-values $-4,0$, and 9
D:-5 \leq g(x) \leq 4
|
|
2813
|
563
|
Vision Intensive
|
Is the discriminant of g positive, zero, or negative?
Choices:
A:Positivie
B:Zero
C:Negative
|
B
|
multi-choice
|
{
"source": "Functions_collected",
"split": "testmini",
"subfield": "Property",
"subject": "Functions"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: 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: Is the discriminant of g positive, zero, or negative?
Choices:
A:Positivie
B:Zero
C:Negative
|
Is the discriminant of g positive, zero, or negative?
Choices:
A:Positivie
B:Zero
C:Negative
|
|
2833
|
567
|
Vision Intensive
|
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
|
{
"source": "Functions_collected",
"split": "testmini",
"subfield": "Property",
"subject": "Functions"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: 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: 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.
|
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.
|
|
2868
|
574
|
Vision Intensive
|
The function A models the rectangle's area (in square meters) as a function of its width (in meters). Which of these statements are true?
Choices:
A:Greater width always relates to smaller area.
B:Greater width relates to smaller area as long as the width is less than $10 \mathrm{~m}$.
C:When there is no width, the area is $20 \mathrm{~m}^2$.
D:When there is no width, the area is $0 \mathrm{~m}^2$.
|
D
|
multi-choice
|
{
"source": "Functions_collected",
"split": "testmini",
"subfield": "Applied",
"subject": "Functions"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: The function A models the rectangle's area (in square meters) as a function of its width (in meters). Which of these statements are true?
Choices:
A:Greater width always relates to smaller area.
B:Greater width relates to smaller area as long as the width is less than $10 \mathrm{~m}$.
C:When there is no width, the area is $20 \mathrm{~m}^2$.
D:When there is no width, the area is $0 \mathrm{~m}^2$.
|
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: The function A models the rectangle's area (in square meters) as a function of its width (in meters). Which of these statements are true?
Choices:
A:Greater width always relates to smaller area.
B:Greater width relates to smaller area as long as the width is less than $10 \mathrm{~m}$.
C:When there is no width, the area is $20 \mathrm{~m}^2$.
D:When there is no width, the area is $0 \mathrm{~m}^2$.
|
The function A models the rectangle's area (in square meters) as a function of its width (in meters). Which of these statements are true?
Choices:
A:Greater width always relates to smaller area.
B:Greater width relates to smaller area as long as the width is less than $10 \mathrm{~m}$.
C:When there is no width, the area is $20 \mathrm{~m}^2$.
D:When there is no width, the area is $0 \mathrm{~m}^2$.
|
|
2878
|
576
|
Vision Intensive
|
What could be the equation of p?
Choices:
A:p(x)=(x+5)(2 x+3)(x-2)
B:p(x)=(x-5)(2 x-3)(x+2)
C:p(x)=(-5 x)\left(-\frac{3}{2} x\right)(2 x)
D:p(x)=(5 x)\left(\frac{3}{2} x\right)(-2 x)
|
A
|
multi-choice
|
{
"source": "Functions_collected",
"split": "testmini",
"subfield": "Expression",
"subject": "Functions"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: What could be the equation of p?
Choices:
A:p(x)=(x+5)(2 x+3)(x-2)
B:p(x)=(x-5)(2 x-3)(x+2)
C:p(x)=(-5 x)\left(-\frac{3}{2} x\right)(2 x)
D:p(x)=(5 x)\left(\frac{3}{2} x\right)(-2 x)
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What could be the equation of p?
Choices:
A:p(x)=(x+5)(2 x+3)(x-2)
B:p(x)=(x-5)(2 x-3)(x+2)
C:p(x)=(-5 x)\left(-\frac{3}{2} x\right)(2 x)
D:p(x)=(5 x)\left(\frac{3}{2} x\right)(-2 x)
|
What could be the equation of p?
Choices:
A:p(x)=(x+5)(2 x+3)(x-2)
B:p(x)=(x-5)(2 x-3)(x+2)
C:p(x)=(-5 x)\left(-\frac{3}{2} x\right)(2 x)
D:p(x)=(5 x)\left(\frac{3}{2} x\right)(-2 x)
|
|
2948
|
590
|
Vision Intensive
|
What is the slope of the figure?
Choices:
A:0
B:1
C:6
D:Undefined
|
D
|
multi-choice
|
{
"source": "Functions_collected",
"split": "testmini",
"subfield": "Property",
"subject": "Functions"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: What is the slope of the figure?
Choices:
A:0
B:1
C:6
D:Undefined
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is the slope of the figure?
Choices:
A:0
B:1
C:6
D:Undefined
|
What is the slope of the figure?
Choices:
A:0
B:1
C:6
D:Undefined
|
|
3033
|
607
|
Vision Intensive
|
What does the graph tell you?
Choices:
A:The cost of a call increases by $\$ 0.90$ for each additional minute
B:Each additional dollar will buy an additional 0.9 minutes of call time
C:The cost of a call decreases by $\$ 0.90$ for each additional minute
D:Each additional dollar will buy 0.9 minutes less of call time than the previous dollar
|
A
|
multi-choice
|
{
"source": "Functions_collected",
"split": "testmini",
"subfield": "Applied",
"subject": "Functions"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: What does the graph tell you?
Choices:
A:The cost of a call increases by $\$ 0.90$ for each additional minute
B:Each additional dollar will buy an additional 0.9 minutes of call time
C:The cost of a call decreases by $\$ 0.90$ for each additional minute
D:Each additional dollar will buy 0.9 minutes less of call time than the previous dollar
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What does the graph tell you?
Choices:
A:The cost of a call increases by $\$ 0.90$ for each additional minute
B:Each additional dollar will buy an additional 0.9 minutes of call time
C:The cost of a call decreases by $\$ 0.90$ for each additional minute
D:Each additional dollar will buy 0.9 minutes less of call time than the previous dollar
|
What does the graph tell you?
Choices:
A:The cost of a call increases by $\$ 0.90$ for each additional minute
B:Each additional dollar will buy an additional 0.9 minutes of call time
C:The cost of a call decreases by $\$ 0.90$ for each additional minute
D:Each additional dollar will buy 0.9 minutes less of call time than the previous dollar
|
|
3068
|
614
|
Vision Intensive
|
The graph shows John's speed while he is competing in a walking race. Which situation corresponds to the graph?
Choices:
A:John increases his speed for the first half of the race and then decreases his speed in the second half
B:John increases his speed at a constant rate throughout the entire race
C:John 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 steadily until the end of the race
D:John starts off by increasing his pace gradually and then continues to steadily increase his pace at a faster rate
|
D
|
multi-choice
|
{
"source": "Functions_collected",
"split": "testmini",
"subfield": "Applied",
"subject": "Functions"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: The graph shows John's speed while he is competing in a walking race. Which situation corresponds to the graph?
Choices:
A:John increases his speed for the first half of the race and then decreases his speed in the second half
B:John increases his speed at a constant rate throughout the entire race
C:John 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 steadily until the end of the race
D:John starts off by increasing his pace gradually and then continues to steadily increase his pace at a faster rate
|
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The graph shows John's speed while he is competing in a walking race. Which situation corresponds to the graph?
Choices:
A:John increases his speed for the first half of the race and then decreases his speed in the second half
B:John increases his speed at a constant rate throughout the entire race
C:John 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 steadily until the end of the race
D:John starts off by increasing his pace gradually and then continues to steadily increase his pace at a faster rate
|
The graph shows John's speed while he is competing in a walking race. Which situation corresponds to the graph?
Choices:
A:John increases his speed for the first half of the race and then decreases his speed in the second half
B:John increases his speed at a constant rate throughout the entire race
C:John 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 steadily until the end of the race
D:John starts off by increasing his pace gradually and then continues to steadily increase his pace at a faster rate
|
|
3753
|
751
|
Vision Intensive
|
In the tube shown above, the circumference of the base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a surface, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38
|
C
|
multi-choice
|
{
"source": "Geo3D_collected",
"split": "testmini",
"subfield": "Length",
"subject": "Solid Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the tube shown above, the circumference of the base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a surface, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38
|
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 tube shown above, the circumference of the base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a surface, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38
|
In the tube shown above, the circumference of the base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a surface, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38
|
|
3818
|
764
|
Vision Intensive
|
If the perimeter of the quadrilateral above is 72, what is the value of x?
Choices:
A.9
B.15
C.18
D.21
E.36
|
C
|
multi-choice
|
{
"source": "GEOS",
"split": "testmini",
"subfield": "Length",
"subject": "Plane Geometry"
}
|
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: If the perimeter of the quadrilateral above is 72, what is the value of x?
Choices:
A.9
B.15
C.18
D.21
E.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: If the perimeter of the quadrilateral above is 72, what is the value of x?
Choices:
A.9
B.15
C.18
D.21
E.36
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If the perimeter of the quadrilateral above is 72, what is the value of x?
Choices:
A.9
B.15
C.18
D.21
E.36
|
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