id
stringclasses 100
values | question
stringlengths 23
343
| image
stringclasses 100
values | decoded_image
imagewidth (px) 200
2.52k
| ground_truth
stringlengths 1
16
| answer_type
stringclasses 3
values | subject
stringclasses 9
values | knowledge_level
stringclasses 3
values |
|---|---|---|---|---|---|---|---|
1
|
What is the period of this function y = a*sin(b*x), where both a and b are integers? Answer the question with a floating-point number.
|
image/image1.png
|
2.0944
|
float
|
analytic geometry
|
high school
|
|
2
|
Use the graph to answer the question below. Which month is the hottest on average in Cape Town?
|
image/image2.png
|
Sep
|
text
|
statistics
|
elementary school
|
|
6
|
Is this a periodic function? Choices: (A) Yes (B) No
|
image/image6.png
|
A
|
multiple choice
|
analytic geometry
|
high school
|
|
7
|
In the addition sum to the right, three digits have been replaced with star. What is the value of star?
|
image/image7.png
|
8
|
float
|
arithmetic
|
elementary school
|
|
17
|
Find the area of the blue square.
|
image/image17.png
|
64
|
float
|
plane geometry
|
elementary school
|
|
22
|
What is the difference between the number of black squares and the number of white squares?
|
image/image22.png
|
1
|
float
|
arithmetic
|
elementary school
|
|
25
|
What is the missing computed symbol? Choices: (A) + (B) - (C) * (D) /
|
image/image25.png
|
A
|
multiple choice
|
arithmetic
|
elementary school
|
|
33
|
Is this a monotonic function? choice: (A) Yes (B) No
|
image/image33.png
|
B
|
multiple choice
|
analytic geometry
|
undergraduate
|
|
48
|
How much money does Hunter need to buy 1 calendars?
|
image/image48.png
|
9
|
float
|
statistics
|
elementary school
|
|
50
|
Which function grows faster? choice: (A) Orange (B) Blue
|
image/image50.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
|
52
|
Is this function uniform continuous on the interval [-3, 3]? choice: (A) Yes (B) No
|
image/image52.png
|
A
|
multiple choice
|
analytic geometry
|
undergraduate
|
|
53
|
What is the area of blue ring?
|
image/image53.png
|
75.3982
|
float
|
plane geometry
|
high school
|
|
54
|
Is this function symmetric about the y-axis? choice: (A) Yes (B) No
|
image/image54.png
|
A
|
multiple choice
|
analytic geometry
|
high school
|
|
60
|
Find the surface area of the rectangular prism.
|
image/image60.png
|
286
|
float
|
solid geometry
|
high school
|
|
61
|
Where is the local min or max of the parabola shown in image at?
|
image/image61.png
|
-0.5
|
float
|
analytic geometry
|
high school
|
|
66
|
If the perimeter of the rectangle above is 52, what is the value of x?
|
image/image66.png
|
13
|
float
|
plane geometry
|
high school
|
|
69
|
Is the function convex or concave? choice: (A) convex (B) concave (C) both
|
image/image69.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
|
72
|
According to the markov chain shown in the image, what is the probability of the event 'A to B'?
|
image/image72.png
|
0.1
|
float
|
statistics
|
undergraduate
|
|
74
|
Find the perimeter of the rectangular prism.
|
image/image74.png
|
52
|
float
|
solid geometry
|
high school
|
|
76
|
O is the circumcircle of △ABC, with AB=BC=16. The arc AB is folded down along the chord AB to intersect BC at point D. If point D is the midpoint of BC, What is the length of AC?
|
image/image76.png
|
11.3137
|
float
|
analytic geometry
|
high school
|
|
80
|
The side of the square is 10 ft. Find the length of diagonal AB
|
image/image80.png
|
14.1421
|
float
|
plane geometry
|
high school
|
|
85
|
The image shows a pythagorean tree. If the area of A and B are 74 and 25, what is the area of C?
|
image/image85.png
|
99
|
float
|
plane geometry
|
high school
|
|
91
|
According to image, a card is randomly selected from a standard 52-card deck. Find the probability that the next card selected after selecting this card from the deck is a heart.
|
image/image91.png
|
0.2353
|
float
|
arithmetic
|
high school
|
|
99
|
Is this function a period function? choice: (A) Yes (B) No
|
image/image99.png
|
B
|
multiple choice
|
analytic geometry
|
high school
|
|
102
|
What is the function value when x = 1?
|
image/image102.png
|
-1
|
float
|
analytic geometry
|
high school
|
|
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
|
|
117
|
Is this function bounded in interval [-8, 8]? choice: (A) Yes (B) No
|
image/image117.png
|
A
|
multiple choice
|
analytic geometry
|
undergraduate
|
|
123
|
Find the perimeter of the sector of the circle with radius r.
|
image/image123.png
|
40.944
|
float
|
plane geometry
|
high school
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
162
|
On which color is the spinner more likely to land?
|
image/image162.png
|
White
|
text
|
statistics
|
high school
|
|
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
|
|
171
|
What is the sum of interior angles in this polygon?
|
image/image171.png
|
900
|
float
|
plane geometry
|
high school
|
|
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
|
|
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
|
|
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
|
|
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
|
|
194
|
Find the area of the azure part in two square.
|
image/image194.png
|
4.5
|
float
|
plane geometry
|
high school
|
|
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
|
|
206
|
What is the measure of ∠C? Answer the question in degrees.
|
image/image206.png
|
22.0154
|
float
|
plane geometry
|
high school
|
|
232
|
How many components does the following graph have?
|
image/image232.png
|
1
|
float
|
graph theory
|
undergraduate
|
|
234
|
Find the chromatic index of the following graph.
|
image/image234.png
|
2
|
float
|
graph theory
|
undergraduate
|
|
236
|
Find the chromatic number of the following graph.
|
image/image236.png
|
3
|
float
|
graph theory
|
undergraduate
|
|
242
|
Which node will be visited first if using inorder DFS on the following tree graph?
|
image/image242.png
|
C
|
text
|
graph theory
|
undergraduate
|
|
244
|
If we want to add a node with value 5 to this binary tree, under which node should it be added? choice: (A) 6 (B) 19 (C) 44 (D) 72
|
image/image244.png
|
A
|
multiple choice
|
graph theory
|
undergraduate
|
|
247
|
How many nodes are in this empty graph?
|
image/image247.png
|
35
|
float
|
graph theory
|
undergraduate
|
|
250
|
What color has the largest number of nodes? choice: (A) blue (B) pink (C) green (D) orange
|
image/image250.png
|
D
|
multiple choice
|
graph theory
|
undergraduate
|
|
256
|
Find the longest path length in the following directed acyclic graph.
|
image/image256.png
|
327
|
float
|
graph theory
|
undergraduate
|
|
259
|
The tree shown in image reserves an expression. Calculate this expression and output the result.
|
image/image259.png
|
462978
|
float
|
graph theory
|
undergraduate
|
|
260
|
Is the following directed graph a tournament? choice: (A) Yes (B) No
|
image/image260.png
|
B
|
multiple choice
|
graph theory
|
undergraduate
|
|
265
|
An object is located a distance 66.0 from a thin converging lens of focal length 32 as shown in the diagram below. Find the distance of the image from the lens.
|
image/image265.png
|
62.1176
|
float
|
scientific figure
|
high school
|
|
270
|
A block of mass 1 kg, initially at rest, is pulled along a frictionless, horizontal surface with a force shown as a function of time t by the graph above. What is the acceleration of the block at t = 7s ?
|
image/image270.png
|
4.0
|
float
|
scientific figure
|
high school
|
|
271
|
The 3.0 kg box shown in the figure to the right is sliding to the right along the floor. A horizontal force of 55.5 N is being applied to the right. The coefficient of kinetic friction between the box and the floor is 0.78. The box is moving with:____. choice: (A) acceleration to the left (B) acceleration to the right (C) constant velocity
|
image/image271.png
|
B
|
multiple choice
|
scientific figure
|
high school
|
|
278
|
Find the potential difference Uab between points a and b.
|
image/image278.png
|
13.2619
|
float
|
scientific figure
|
undergraduate
|
|
281
|
In the figure below, the area of square ABCD is equal to the sum of the area of triangles ABE and DCE. If AB = 60, then CE = ___
|
image/image281.png
|
30.0
|
float
|
plane geometry
|
high school
|
|
285
|
Find the missing number.
|
image/image285.png
|
529
|
float
|
puzzle test
|
elementary school
|
|
289
|
The diagram shows Exam score of students. What is the average score of this exam?
|
image/image289.png
|
63.75
|
float
|
statistics
|
high school
|
|
301
|
In the diagram drawn on the square grid, find the ratio of the unshaded area to the shaded area. choice: (A) 1/4 (B) 2/5 (C) 1/3 (D) 1/5
|
image/image301.png
|
A
|
multiple choice
|
plane geometry
|
high school
|
|
308
|
The diagram below is a model of two solutions. Each ball represents one mole particle of solute.Which solution has a higher mass? choice: (A) Solution A (B) Solution B (C) Their masses are the same
|
image/image308.png
|
A
|
multiple choice
|
scientific figure
|
high school
|
|
312
|
The sum of numbers on three consecutive underlines is always 10. Find the number on the red underlines.
|
image/image312.png
|
7
|
float
|
puzzle test
|
elementary school
|
|
314
|
What is the color of the normal distribution line with largest standard deviation? choice: (A) red (B) blue (C) green (D) orange
|
image/image314.png
|
B
|
multiple choice
|
statistics
|
undergraduate
|
|
317
|
Tom writes down two five-digit number. He places different shapes on different digits. He places the same shape on the same digits. Find the value of first five-digit number.
|
image/image317.png
|
34844
|
float
|
arithmetic
|
elementary school
|
|
318
|
Find the distance between orange and blue point.
|
image/image318.png
|
7.2801
|
float
|
solid geometry
|
high school
|
|
327
|
Steven wants to write each of the digits 7, 3, 0 and 8 into the boxes of this addition: He wants to obtain the biggest result possible. Which digit does he have to use for the tenth digit number?
|
image/image327.png
|
7
|
float
|
arithmetic
|
elementary school
|
|
334
|
The cell in the following circuit has an emf of 3.1 V. The digital voltmeter reads 1.7 V. The resistance of L1 is 1 omega. What is the resistance of L2?
|
image/image334.png
|
0.8235
|
float
|
scientific figure
|
high school
|
|
336
|
Find the value of z * (z∗).
|
image/image336.png
|
13
|
float
|
analytic geometry
|
undergraduate
|
|
338
|
Find the value of ∠z1oz2. Give the answer in degrees.
|
image/image338.png
|
90
|
float
|
analytic geometry
|
undergraduate
|
|
344
|
If the coyote population were to decrease, what would happen to the sheep population? choice: (A) increase (B) decrease
|
image/image344.png
|
A
|
multiple choice
|
scientific figure
|
high school
|
|
345
|
What is the global maximum of this function?
|
image/image345.png
|
1
|
float
|
analytic geometry
|
high school
|
|
346
|
What is the global minimum of this function?
|
image/image346.png
|
-7
|
float
|
analytic geometry
|
high school
|
|
349
|
F1 = 9N, S1 = 1m^2, and S2 = 28m^2, find the value of force F2.
|
image/image349.png
|
252
|
float
|
scientific figure
|
high school
|
|
351
|
Which function has the highest order or growth? choice: (A) f1 (B) f2 (C) f3 (D) f4
|
image/image351.png
|
C
|
multiple choice
|
algebra
|
undergraduate
|
|
355
|
Each of the digits 1, 6, 5 and 4 will be placed in a square. Then there will be two numbers, which will be added together. What is the biggest number that they could make?
|
image/image355.png
|
115
|
float
|
arithmetic
|
elementary school
|
|
356
|
Find the missing value.
|
image/image356.png
|
10
|
float
|
arithmetic
|
elementary school
|
|
359
|
The height h of the cylinder is 41. Find the volume of the cylinder.
|
image/image359.png
|
284530.905
|
float
|
solid geometry
|
high school
|
|
363
|
If the blue point is reflected about the origin, what are the coordinates of its image? Please answer in the form (_, _)
|
image/image363.png
|
(6.000, -4.000)
|
text
|
analytic geometry
|
high school
|
|
368
|
How many red points are inside the blue circle?
|
image/image368.png
|
1
|
float
|
statistics
|
undergraduate
|
|
370
|
How many points are inside the triangle?
|
image/image370.png
|
3
|
float
|
statistics
|
undergraduate
|
|
371
|
Please count how many points are outside the circle?
|
image/image371.png
|
8
|
float
|
statistics
|
undergraduate
|
|
384
|
Which region had the lowest average monthly temperature in winter? Choices: (A) Region 1 (B) Region 2 (C) Both
|
image/image384.png
|
B
|
multiple choice
|
statistics
|
high school
|
|
386
|
The performance score is always the multiple of ten. Which player had the most consistent performance throughout the season? Choice: (A) Player 1 (B) Player 2
|
image/image386.png
|
A
|
multiple choice
|
statistics
|
high school
|
|
406
|
All values are integers. What is the maximum value across all categories?
|
image/image406.png
|
10
|
float
|
statistics
|
high school
|
|
410
|
The table below represents the monthly revenue and expenses of different departments. Which department had the highest average monthly savings if savings are calculated as (Revenue - Expenses)? Choices: (A) HR (B) IT (C) Finance (D) Marketing
|
image/image410.png
|
B
|
multiple choice
|
statistics
|
high school
|
|
414
|
The table below represents the number of students in each grade at an elementary school. What is the total number of students in Grade 3?
|
image/image414.png
|
370
|
float
|
statistics
|
high school
|
|
421
|
The table below represents the revenue and costs for different stores. What is the total profit for Store C in the first half of the year?
|
image/image421.png
|
36990
|
float
|
statistics
|
high school
|
|
429
|
The pie chart below represents the types of pets pet owners have in City A. Suppose City A has 10000 pets in total, what is the most popular pet in City A? Choices: (A) Dogs (B) Cats (C) Birds (D) Fish
|
image/image429.png
|
A
|
multiple choice
|
statistics
|
elementary school
|
|
434
|
Are the slices for red and blue equal? Choices: (A) Yes (B) No
|
image/image434.png
|
B
|
multiple choice
|
statistics
|
elementary school
|
|
437
|
The area chart below represents monthly rainfall in different regions. Which region had the highest rainfall in any single month? Choices: (A) North (B) South (C) East (D) West
|
image/image437.png
|
B
|
multiple choice
|
statistics
|
undergraduate
|
|
441
|
The box plot below represents the customer satisfaction scores for different branches. Which branch has the smallest interquartile range (IQR) for customer satisfaction scores? Choices: (A) Branch A (B) Branch B (C) Branch C (D) Branch D
|
image/image441.png
|
B
|
multiple choice
|
statistics
|
undergraduate
|
|
451
|
The Gantt chart below represents different tasks. Which task has the shortest duration? Choices: (A) Task A (B) Task B (C) Task C (D) Task D (E) Task E
|
image/image451.png
|
B
|
multiple choice
|
statistics
|
undergraduate
|
|
457
|
The pair plot below represents different features. Which feature has the highest variance? Choices: (A) Feature A (B) Feature B (C) Feature C (D) Feature D
|
image/image457.png
|
A
|
multiple choice
|
statistics
|
undergraduate
|
|
459
|
The Pareto chart below represents the contributions of different categories. Which category is the smallest contributor? Choices: (A) A (B) B (C) C (D) D (E) E
|
image/image459.png
|
E
|
multiple choice
|
statistics
|
undergraduate
|
|
461
|
The radar chart below represents different categories. Which category has the lowest value? Choices: (A) A (B) B (C) C (D) D (E) E
|
image/image461.png
|
B
|
multiple choice
|
statistics
|
undergraduate
|
|
466
|
200 people were surveyed about their environmental concerns. The results are displayed in the Venn diagram below. How many people are not concerned about either Climate Change or Deforestation?
|
image/image466.png
|
50
|
float
|
algebra
|
high school
|
|
495
|
What is the value of a * b + c?
|
image/image495.png
|
24
|
float
|
algebra
|
high school
|
|
500
|
Which operation is omitted in the equation as shown in the image? Choices: (A) + (B) - (C) * (D) /
|
image/image500.png
|
C
|
multiple choice
|
algebra
|
elementary school
|
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