id
stringclasses 501
values | question
stringlengths 23
422
| image
stringclasses 501
values | decoded_image
imagewidth (px) 200
2.52k
| ground_truth
stringlengths 1
19
| answer_type
stringclasses 3
values | subject
stringclasses 9
values | knowledge_level
stringclasses 3
values | qid
stringclasses 501
values | index
int64 1
5.01k
| varid
int64 1
10
|
|---|---|---|---|---|---|---|---|---|---|---|
101
|
The derivative of f(x) at x=1 is ____ that at x=5 choice: (A) larger than (B) smaller than (C) equal to
|
image/image101.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
101
| 101
| 1
|
|
102
|
What is the function value when x = 1?
|
image/image102.png
|
-1
|
float
|
analytic geometry
|
high school
|
102
| 102
| 1
|
|
103
|
The polar coordinates of a point are (3,3.53). Determine the Cartesian coordinates for the point.
|
image/image103.png
|
(-2.777, -1.136)
|
text
|
analytic geometry
|
undergraduate
|
103
| 103
| 1
|
|
104
|
The clock shows the time. What time is it? Answer in the form of __:__.
|
image/image104.png
|
17:06
|
text
|
arithmetic
|
elementary school
|
104
| 104
| 1
|
|
105
|
Which of the following numbers is the closest to the value of f(x) at x=1? choice: (A) 5 (B) 3 (C) 1
|
image/image105.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
105
| 105
| 1
|
|
106
|
Is the function f:R\{0}->R injective, surjective, or bijective? choice: (A) Injective (B) Surjective (C) Bijective (D) Neither
|
image/image106.png
|
C
|
multiple choice
|
analytic geometry
|
undergraduate
|
106
| 106
| 1
|
|
107
|
Two identical circles are placed into a square in such a way that they are tangent to each other at a single point, and each circle is tangent to the square at two points, as shown. If the radius of each circle is 5 , what is the area of the square?
|
image/image107.png
|
291.4214
|
float
|
plane geometry
|
high school
|
107
| 107
| 1
|
|
108
|
The function f(x) is a cubic function. What is the value of f(x) when x = 4?
|
image/image108.png
|
563
|
float
|
algebra
|
high school
|
108
| 108
| 1
|
|
109
|
The image shows the derivative of f(x). Where is the local min or max of f(x) at?
|
image/image109.png
|
-1.0
|
float
|
analytic geometry
|
high school
|
109
| 109
| 1
|
|
110
|
The image shows the derivative of f(x). Where is the local min of f(x) at?
|
image/image110.png
|
-5
|
float
|
analytic geometry
|
high school
|
110
| 110
| 1
|
|
111
|
The image shows the derivative of f(x). Where is the local max of f(x) at?
|
image/image111.png
|
-1
|
float
|
analytic geometry
|
high school
|
111
| 111
| 1
|
|
112
|
Find the area of azure part.
|
image/image112.png
|
25.1327
|
float
|
plane geometry
|
high school
|
112
| 112
| 1
|
|
113
|
The angle of the sector is 30 degree. What is the area of the blue part?
|
image/image113.png
|
61.7847
|
float
|
plane geometry
|
high school
|
113
| 113
| 1
|
|
114
|
What is on the north side of home? choice: (A) university (B) restaurant (C) park (D) library
|
image/image114.png
|
B
|
multiple choice
|
scientific figure
|
elementary school
|
114
| 114
| 1
|
|
115
|
The sum of the three numbers on each of the two lines of the cross is 83. Find the number in the center.
|
image/image115.png
|
8
|
float
|
puzzle test
|
elementary school
|
115
| 115
| 1
|
|
116
|
Squares ACDE and CBFG are constructed on the outside of △ABC with AC and BC as one side, respectively. Point P is the midpoint of EF. AC = 10, BC = 8, AB = 9, find the length of PQ.
|
image/image116.png
|
4.5
|
float
|
plane geometry
|
high school
|
116
| 116
| 1
|
|
117
|
Is this function bounded in interval [-8, 8]? choice: (A) Yes (B) No
|
image/image117.png
|
A
|
multiple choice
|
analytic geometry
|
undergraduate
|
117
| 117
| 1
|
|
118
|
What is the least upper bound of this function?
|
image/image118.png
|
1.5708
|
float
|
analytic geometry
|
undergraduate
|
118
| 118
| 1
|
|
119
|
Find the area of the shaded part.
|
image/image119.png
|
-1.0
|
float
|
analytic geometry
|
undergraduate
|
119
| 119
| 1
|
|
120
|
Is this graph a cyclic graph? choice: (A) Yes (B) No
|
image/image120.png
|
B
|
multiple choice
|
graph theory
|
undergraduate
|
120
| 120
| 1
|
|
121
|
Which of the following fact is true about set A and set B in image? choice: (A) A ⊂ B (B) A ⊃ B (C) A ∪ B (D) A ∩ B = ∅
|
image/image121.png
|
C
|
multiple choice
|
algebra
|
high school
|
121
| 121
| 1
|
|
122
|
In the diagram, there are three semi-circles. D is the diameter of left white semi-circle, and d is the diameter of the right white semi-circle. Find the area of azure part.
|
image/image122.png
|
35.3429
|
float
|
plane geometry
|
high school
|
122
| 122
| 1
|
|
123
|
Find the perimeter of the sector of the circle with radius r.
|
image/image123.png
|
40.944
|
float
|
plane geometry
|
high school
|
123
| 123
| 1
|
|
124
|
What is the purple curve? choice: (A) sigmoid function (B) tanh function (C) LeakyRelu function
|
image/image124.png
|
A
|
multiple choice
|
analytic geometry
|
undergraduate
|
124
| 124
| 1
|
|
125
|
Which quadrant this function lies? choice: (A) first quadrant (B) second quadrant (C) third quadrant (D) fourth quadrant
|
image/image125.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
125
| 125
| 1
|
|
126
|
The truncated right circular cone below has a large base radius 10 cm and a small base radius of 4 cm. The height of the truncated cone is 5 cm. What is the volume of this solid?
|
image/image126.png
|
816.8141
|
float
|
solid geometry
|
high school
|
126
| 126
| 1
|
|
127
|
The ♠ is drawn on the sheet. We turn the sheet clockwise through 90° and then turn counter-clockwise 180°. Which figure can we now see? choice: (A) (B) (C) (D)
|
image/image127.png
|
D
|
multiple choice
|
plane geometry
|
high school
|
127
| 127
| 1
|
|
128
|
The image shows the second derivative of cubic function f(x). Is f(x) concave or convex at x = -1? choice: (A) convex (B) concave (C) inflection point
|
image/image128.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
128
| 128
| 1
|
|
129
|
What is the volume of this azure right square pyramid?
|
image/image129.png
|
149.3333
|
float
|
solid geometry
|
high school
|
129
| 129
| 1
|
|
130
|
What is the surface area of this pink right square pyramid?
|
image/image130.png
|
192.9961
|
float
|
solid geometry
|
high school
|
130
| 130
| 1
|
|
131
|
f(z) = 72, C is the purple circle shown in the image. Find ∫cf(z)dz.
|
image/image131.png
|
0
|
float
|
analytic geometry
|
undergraduate
|
131
| 131
| 1
|
|
132
|
If the black point is reflected in x-axis, what are the coordinates of its image? Please answer in the form (_, _)
|
image/image132.png
|
(0, 6)
|
text
|
analytic geometry
|
high school
|
132
| 132
| 1
|
|
133
|
If the red point is reflected in y-axis, what are the coordinates of its image? Please answer in the form (_, _)
|
image/image133.png
|
(2, 4)
|
text
|
analytic geometry
|
high school
|
133
| 133
| 1
|
|
134
|
If the blue point is reflected about the origin, what are the coordinates of its image? Please answer in the form (_, _)
|
image/image134.png
|
(3, 2)
|
text
|
analytic geometry
|
high school
|
134
| 134
| 1
|
|
135
|
Find the distance between point A and point B.
|
image/image135.png
|
12.8062
|
float
|
analytic geometry
|
high school
|
135
| 135
| 1
|
|
136
|
What is the shortest distance from node S to node G in this directed graph?
|
image/image136.png
|
29
|
float
|
graph theory
|
undergraduate
|
136
| 136
| 1
|
|
137
|
what is the first edge added to the MST when running Kruskal's Algorithm? In the case of a tie, choose the edge which comes first in alphabetical order i.e. if you had to choose between AS and AE, then you would choose AE first.
|
image/image137.png
|
BS
|
text
|
graph theory
|
undergraduate
|
137
| 137
| 1
|
|
138
|
The figure shows graphs of functions $f$ and $g$ defined on real numbers. Each graph consists of two perpendicular halflines. Which equality is satisfied for every real number $x$? choice: (A) f(x)=g(x)-5 (B) f(x)=-g(x - 5) (C) f(x)=g(x - 5) (D) f(x)=-g(x)-5
|
image/image138.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
138
| 138
| 1
|
|
139
|
For each of the points A, B, C, D of the rectangle ABCD, the quotient (y-coordinate):(x-coordinate) is calculated. For which point will you obtain the smallest quotient? choice: (A) A (B) B (C) C (D)
|
image/image139.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
139
| 139
| 1
|
|
140
|
For each of the points A, B, C, D of the rectangle ABCD, the quotient (x-coordinate):(y-coordinate) is calculated. For which point will you obtain the smallest quotient? choice: (A) A (B) B (C) C (D)
|
image/image140.png
|
D
|
multiple choice
|
analytic geometry
|
high school
|
140
| 140
| 1
|
|
141
|
The length of the diameter of this spherical ball is equal to the height of the box in which it is placed. The box is a cube and has an edge length of 20 cm. How many cubic centimeters of the box are not occupied by the solid sphere?
|
image/image141.png
|
3811.2098
|
float
|
solid geometry
|
high school
|
141
| 141
| 1
|
|
142
|
Is this graph a bipartite? Choice: (A) Yes (B) No
|
image/image142.png
|
A
|
multiple choice
|
graph theory
|
undergraduate
|
142
| 142
| 1
|
|
143
|
Determine for which values of x=a the function is continuous but not differentiable at x=a.
|
image/image143.png
|
1
|
float
|
analytic geometry
|
undergraduate
|
143
| 143
| 1
|
|
144
|
Find the area of shaded part.
|
image/image144.png
|
0.8284
|
float
|
analytic geometry
|
undergraduate
|
144
| 144
| 1
|
|
145
|
P is a point inside the square ABCD, and PA = 8, PB = 16, PC = 24. Find the side length of the square.
|
image/image145.png
|
22.3835
|
float
|
solid geometry
|
high school
|
145
| 145
| 1
|
|
146
|
Find the missing number.
|
image/image146.png
|
87
|
float
|
puzzle test
|
high school
|
146
| 146
| 1
|
|
147
|
Is this function differentiable? choice: (A) Yes (B) No
|
image/image147.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
147
| 147
| 1
|
|
148
|
Is this function uniformly continuous on [-8, 8]? choice: (A) Yes (B) No
|
image/image148.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
148
| 148
| 1
|
|
149
|
The function value f(1) is ____ f(-1) choice: (A) smaller than (B) larger than (C) equal to
|
image/image149.png
|
A
|
multiple choice
|
analytic geometry
|
high school
|
149
| 149
| 1
|
|
150
|
The function value f(1) is ____ 0 choice: (A) smaller than (B) larger than (C) equal to
|
image/image150.png
|
A
|
multiple choice
|
analytic geometry
|
high school
|
150
| 150
| 1
|
|
151
|
what is the first edge added to the MST when running Kruskal's Algorithm? In the case of a tie, choose the edge which comes first in alphabetical order i.e. if you had to choose between AG and AD, then you would choose AD first.
|
image/image151.png
|
CE
|
text
|
graph theory
|
undergraduate
|
151
| 151
| 1
|
|
152
|
what is the first edge added to the MST when running Prim's Algorithm from node A? In the case of a tie, choose the edge which comes first in alphabetical order i.e. if you had to choose between AG and AD, then you would choose AD first.
|
image/image152.png
|
AG
|
text
|
graph theory
|
undergraduate
|
152
| 152
| 1
|
|
153
|
The azure area in the figure is composed of 4 identical sectors, which can be combined to form a complete circle. What is the area of the azure part
|
image/image153.png
|
63.6173
|
float
|
plane geometry
|
high school
|
153
| 153
| 1
|
|
154
|
The white area in the figure is composed of 4 identical sectors, which can be combined to form a complete circle. What is the area of the azure part
|
image/image154.png
|
25.9668
|
float
|
plane geometry
|
high school
|
154
| 154
| 1
|
|
155
|
Find the missing number in the last node.
|
image/image155.png
|
233
|
float
|
puzzle test
|
high school
|
155
| 155
| 1
|
|
156
|
Find the missing number in the last node.
|
image/image156.png
|
160
|
float
|
puzzle test
|
high school
|
156
| 156
| 1
|
|
157
|
As shown in the figure, quadrilateral ABCD is a square, with DE parallel to AC, and CE equal to CA. Line EC intersects the extended line of DA at point F. AE = 18, find the length of AF
|
image/image157.png
|
18
|
float
|
plane geometry
|
high school
|
157
| 157
| 1
|
|
158
|
What are the coordinates of the vector between two blue points?
|
image/image158.png
|
(-5, 5)
|
text
|
plane geometry
|
high school
|
158
| 158
| 1
|
|
159
|
Find the area of the region bounded by the curves y = x^1/6, y = 1, and x = 5.
|
image/image159.png
|
0.7471
|
float
|
analytic geometry
|
undergraduate
|
159
| 159
| 1
|
|
160
|
The blue curve is the function transformed from black curve. What transformation is applied to the original function? choice: (A) shift up (B) shift down (C) shift left (D) shift right
|
image/image160.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
160
| 160
| 1
|
|
161
|
On which number is the spinner more likely to land?
|
image/image161.png
|
5
|
float
|
statistics
|
high school
|
161
| 161
| 1
|
|
162
|
On which color is the spinner more likely to land?
|
image/image162.png
|
White
|
text
|
statistics
|
high school
|
162
| 162
| 1
|
|
163
|
The blue and green curves are f(x) and g(x). What is the monotonicity of f(x) + g(x)? choice: (A) monotone increasing (B) monotone decreasing (C) undefined
|
image/image163.png
|
C
|
multiple choice
|
analytic geometry
|
high school
|
163
| 163
| 1
|
|
164
|
The red and green curves are f(x) and g(x). What is the monotonicity of -f(x)? choice: (A) monotone increasing (B) monotone decreasing (C) undefined
|
image/image164.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
164
| 164
| 1
|
|
165
|
The purple and orange curves are f(x) and g(x). What is the monotonicity of 1/f(x)? choice: (A) monotone increasing (B) monotone decreasing (C) undefined
|
image/image165.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
165
| 165
| 1
|
|
166
|
The brown and black curves are f(x) and g(x). What is the monotonicity of f[g(x)]? choice: (A) monotone increasing (B) monotone decreasing (C) undefined
|
image/image166.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
166
| 166
| 1
|
|
167
|
quadrilateral ABCD is a square, with DE parallel to AC, AE=AC, and AE intersects CD at point F. The length of the side of ABCD is 14 amd CE = 12. Find the length of CF.
|
image/image167.png
|
12
|
float
|
plane geometry
|
high school
|
167
| 167
| 1
|
|
168
|
The blue and green curves are f(x) and g(x). Is f(x) + g(x) even or odd? choice: (A) odd (B) even (C) neither
|
image/image168.png
|
C
|
multiple choice
|
analytic geometry
|
high school
|
168
| 168
| 1
|
|
169
|
The purple and orange curves are f(x) and g(x). Is f(x)g(x) even or odd? choice: (A) odd (B) even (C) neither
|
image/image169.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
169
| 169
| 1
|
|
170
|
The red and green curves are f(x) and g(x). Is f[g(x)] even or odd? choice: (A) odd (B) even (C) neither
|
image/image170.png
|
A
|
multiple choice
|
analytic geometry
|
high school
|
170
| 170
| 1
|
|
171
|
What is the sum of interior angles in this polygon?
|
image/image171.png
|
900
|
float
|
plane geometry
|
high school
|
171
| 171
| 1
|
|
172
|
What is the sum of external angles in this polygon?
|
image/image172.png
|
360
|
float
|
plane geometry
|
high school
|
172
| 172
| 1
|
|
173
|
Find the ∠A in this regular polygon.
|
image/image173.png
|
120.0
|
float
|
plane geometry
|
high school
|
173
| 173
| 1
|
|
174
|
In the diagram below, both squares have a equal side length. What is the area of the azure region?
|
image/image174.png
|
49
|
float
|
plane geometry
|
high school
|
174
| 174
| 1
|
|
175
|
The equation of this ellipse is x^2/20.25 + y^2/9.0 = 1. Find the length of A1A2.
|
image/image175.png
|
9
|
float
|
analytic geometry
|
high school
|
175
| 175
| 1
|
|
176
|
The equation of this ellipse is x^2/12.25 + y^2/1.0 = 1. Find the length of B1B2.
|
image/image176.png
|
2
|
float
|
analytic geometry
|
high school
|
176
| 176
| 1
|
|
177
|
The equation of this ellipse is x^2/16.0 + y^2/2.25 = 1. Find the eccentricity of this ellipse.
|
image/image177.png
|
0.927
|
float
|
analytic geometry
|
high school
|
177
| 177
| 1
|
|
178
|
In the diagram, triangle ABC is right-angled at C. Also, points M, N and P are the midpoints of sides BC, AC and AB, respectively. If the area of triangle APN is 2, then what is the area of triangle ABC?
|
image/image178.png
|
8
|
float
|
plane geometry
|
high school
|
178
| 178
| 1
|
|
179
|
Find the missing number in the last node.
|
image/image179.png
|
37
|
float
|
puzzle test
|
high school
|
179
| 179
| 1
|
|
180
|
Find the missing number in the last node.
|
image/image180.png
|
38
|
float
|
puzzle test
|
high school
|
180
| 180
| 1
|
|
181
|
The line L1 and L2 are parallel to each other. Is ∠A the same as ∠B? choice: (A) Yes (B) No
|
image/image181.png
|
A
|
multiple choice
|
plane geometry
|
high school
|
181
| 181
| 1
|
|
182
|
The line L1 and L2 are parallel to each other. Is ∠A the same as ∠B? choice: (A) Yes (B) No
|
image/image182.png
|
A
|
multiple choice
|
plane geometry
|
high school
|
182
| 182
| 1
|
|
183
|
The line L1 and L2 are parallel to each other. Is ∠A the same as ∠B? choice: (A) Yes (B) No
|
image/image183.png
|
A
|
multiple choice
|
plane geometry
|
high school
|
183
| 183
| 1
|
|
184
|
The line L1 and L2 are parallel to each other. Is ∠A the same as ∠B? choice: (A) Yes (B) No
|
image/image184.png
|
A
|
multiple choice
|
plane geometry
|
high school
|
184
| 184
| 1
|
|
185
|
Based on the measurement results shown in the diagram, this blue angle is ( )°.
|
image/image185.png
|
110
|
float
|
scientific figure
|
elementary school
|
185
| 185
| 1
|
|
186
|
Based on the measurement results shown in the diagram, this blue angle is ( )°.
|
image/image186.png
|
100
|
float
|
scientific figure
|
elementary school
|
186
| 186
| 1
|
|
187
|
A sphere is inscribed in a cone with height 5 and base radius 4. What is the volume of the sphere ?
|
image/image187.png
|
29.7637
|
float
|
solid geometry
|
high school
|
187
| 187
| 1
|
|
188
|
Are two planes parallel? choice: (A) Yes (B) No
|
image/image188.png
|
A
|
multiple choice
|
solid geometry
|
high school
|
188
| 188
| 1
|
|
189
|
What is the area of the azure part?
|
image/image189.png
|
174.2843
|
float
|
plane geometry
|
high school
|
189
| 189
| 1
|
|
190
|
In the diagram, there are two semi-circles. D is the diameter of left azure semi-circle, and d is the diameter of the right white semi-circle. Find the area of azure part.
|
image/image190.png
|
87.9646
|
float
|
plane geometry
|
high school
|
190
| 190
| 1
|
|
191
|
Part of the graph of f(x) = x^3 + bx^2 + cx + d is shown. What is b?
|
image/image191.png
|
-6
|
float
|
analytic geometry
|
high school
|
191
| 191
| 1
|
|
192
|
Part of the graph of f(x) = x^3 + bx^2 + cx + d is shown. What is c?
|
image/image192.png
|
-13
|
float
|
analytic geometry
|
high school
|
192
| 192
| 1
|
|
193
|
Part of the graph of f(x) = x^3 + bx^2 + cx + d is shown. What is d?
|
image/image193.png
|
-3
|
float
|
analytic geometry
|
high school
|
193
| 193
| 1
|
|
194
|
Find the area of the azure part in two square.
|
image/image194.png
|
4.5
|
float
|
plane geometry
|
high school
|
194
| 194
| 1
|
|
195
|
Let P be a point on side BC of the square ABCD, PF⊥AP, and CF bisects ∠DCE. PA = 15,find the length of PF
|
image/image195.png
|
15
|
float
|
plane geometry
|
high school
|
195
| 195
| 1
|
|
196
|
The sum of the numbers at the two vertices at the ends of each edge is equal to the number written on that edge. What number should he write on the edge marked with the question mark?
|
image/image196.png
|
3
|
float
|
puzzle test
|
high school
|
196
| 196
| 1
|
|
197
|
As shown in the figure, points A, O, and B are collinear, and DE is perpendicular to CO. If ∠BOC = 25°, what is the measure of ∠BOE?
|
image/image197.png
|
65
|
float
|
plane geometry
|
high school
|
197
| 197
| 1
|
|
198
|
Is the function differentiable at x = 0? choice: (A) Yes (B) No
|
image/image198.png
|
A
|
multiple choice
|
analytic geometry
|
high school
|
198
| 198
| 1
|
|
199
|
Is the function continuous on x = 0? choice: (A) Yes (B) No
|
image/image199.png
|
A
|
multiple choice
|
analytic geometry
|
high school
|
199
| 199
| 1
|
|
200
|
As shown in the figure, BC is parallel to DE, with BC = 6 and DE = 7. Given AB = 7, find the length of BD.
|
image/image200.png
|
1.1667
|
float
|
plane geometry
|
high school
|
200
| 200
| 1
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.