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question_id
int64 2
5k
| category
stringclasses 12
values | difficulty
stringclasses 3
values | question
stringlengths 10
89
| correct_answer
stringclasses 370
values | option_a
stringclasses 545
values | option_b
stringclasses 544
values | option_c
stringclasses 546
values | option_d
stringclasses 550
values | explanation
stringclasses 12
values |
|---|---|---|---|---|---|---|---|---|---|
450 |
algebra
|
easy
|
Solve for x: x + 6 = 17
|
11
|
14
|
11
|
9
|
12
|
Algebraic manipulation and solving
|
384 |
arithmetic
|
hard
|
Calculate (5^4 × 2) ÷ 6
|
208
|
203
|
208
|
211
|
216
|
Standard arithmetic calculation
|
3,752 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
1
|
4
|
3
|
2
|
Number theory and modular arithmetic
|
4,024 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
Cannot determine
|
P is false
|
Q is true
|
Q is false
|
Logical reasoning and boolean operations
|
331 |
arithmetic
|
hard
|
Calculate (5^4 × 3) ÷ 7
|
267
|
275
|
267
|
270
|
262
|
Standard arithmetic calculation
|
2,033 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
0/2
|
1/2
|
1/3
|
2/2
|
Fraction arithmetic and simplification
|
685 |
algebra
|
medium
|
Solve: 2x - 14 = 17
|
15
|
18
|
16
|
13
|
15
|
Algebraic manipulation and solving
|
1,161 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 7 and 24
|
25
|
23
|
24
|
26
|
25
|
Geometric calculation and spatial reasoning
|
1,597 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
1.74
|
2.94
|
2.24
|
2.54
|
Statistical measure calculation
|
1,593 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.24
|
2.54
|
2.94
|
1.74
|
Statistical measure calculation
|
3,425 |
number_theory
|
easy
|
What is the GCD of 14 and 21?
|
7
|
6
|
8
|
5
|
7
|
Number theory and modular arithmetic
|
3,730 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
4
|
2
|
1
|
3
|
Number theory and modular arithmetic
|
4,059 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
Cannot determine
|
False
|
Depends on other variables
|
True
|
Logical reasoning and boolean operations
|
4,695 |
combinatorics
|
easy
|
How many ways can 4 people stand in a line?
|
24
|
24
|
16
|
8
|
6
|
Permutations and combinations
|
2,067 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/2
|
0/2
|
1/3
|
2/2
|
Fraction arithmetic and simplification
|
1,741 |
fractions
|
easy
|
What is 1/3 + 1/4?
|
7/12
|
8/12
|
6/12
|
7/13
|
7/12
|
Fraction arithmetic and simplification
|
3,975 |
logic
|
medium
|
If P implies Q and P is true, what can we conclude about Q?
|
Q is true
|
Q is true
|
P is false
|
Q is false
|
Cannot determine
|
Logical reasoning and boolean operations
|
4,055 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
True
|
Cannot determine
|
False
|
Depends on other variables
|
Logical reasoning and boolean operations
|
1,426 |
statistics
|
medium
|
Calculate the range of 20 20 14 2 12
|
18
|
16
|
21
|
18
|
19
|
Statistical measure calculation
|
288 |
arithmetic
|
hard
|
Calculate (3^3 × 4) ÷ 7
|
15
|
10
|
23
|
15
|
18
|
Standard arithmetic calculation
|
3,456 |
number_theory
|
easy
|
What is the GCD of 15 and 25?
|
5
|
6
|
4
|
3
|
5
|
Number theory and modular arithmetic
|
961 |
geometry
|
easy
|
What is the area of a rectangle with length 5 and width 7?
|
35
|
43
|
38
|
35
|
30
|
Geometric calculation and spatial reasoning
|
1,824 |
fractions
|
medium
|
Calculate 4/3 × 4/5
|
16/15
|
17/15
|
15/16
|
16/15
|
16/16
|
Fraction arithmetic and simplification
|
3,073 |
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/36
|
1/32
|
1/30
|
1/35
|
Probability calculation and expected value
|
1,162 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 3 and 4
|
5
|
5
|
6
|
4
|
3
|
Geometric calculation and spatial reasoning
|
3,416 |
number_theory
|
easy
|
Is 13 a prime number?
|
Yes
|
No
|
Yes
|
Cannot determine
|
Only if x>0
|
Number theory and modular arithmetic
|
713 |
algebra
|
hard
|
Solve: x² + -8x + 15 = 0
|
x = 5 or x = 3
|
x = 4 or x = 4
|
x = 5 or x = 3
|
x = -5 or x = -3
|
x = 6 or x = 2
|
Algebraic manipulation and solving
|
3,141 |
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/36
|
1/30
|
1/35
|
1/32
|
Probability calculation and expected value
|
403 |
arithmetic
|
hard
|
Calculate (6^3 × 4) ÷ 3
|
288
|
296
|
291
|
283
|
288
|
Standard arithmetic calculation
|
1,425 |
statistics
|
medium
|
Calculate the range of 7 15 9 3 10 15 12 8
|
12
|
12
|
15
|
10
|
13
|
Statistical measure calculation
|
171 |
arithmetic
|
medium
|
What is 9²?
|
81
|
71
|
89
|
81
|
96
|
Standard arithmetic calculation
|
3,734 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
4
|
3
|
2
|
1
|
Number theory and modular arithmetic
|
2,055 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
0/2
|
1/3
|
1/2
|
2/2
|
Fraction arithmetic and simplification
|
914 |
geometry
|
easy
|
What is the area of a rectangle with length 10 and width 7?
|
70
|
70
|
78
|
73
|
65
|
Geometric calculation and spatial reasoning
|
3,300 |
probability
|
hard
|
Expected value of rolling a fair six-sided die
|
3.5
|
3.5
|
3
|
4.5
|
4
|
Probability calculation and expected value
|
3,133 |
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/30
|
1/32
|
1/36
|
1/35
|
Probability calculation and expected value
|
4,127 |
logic
|
hard
|
Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True
|
True
|
True
|
False
|
Cannot determine
|
Depends on other variables
|
Logical reasoning and boolean operations
|
2,058 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
2/2
|
0/2
|
1/3
|
1/2
|
Fraction arithmetic and simplification
|
4,174 |
linear_algebra
|
easy
|
Add vectors [2, 3] + [1, 4]
|
[3, 7]
|
[3, 6]
|
[3, 7]
|
[4, 7]
|
[2, 7]
|
Vector operations and matrix calculations
|
2,854 |
trigonometry
|
hard
|
Solve sin(x) = 1/2 for 0° ≤ x ≤ 360°
|
x = 30° or 150°
|
x = 30° or 60°
|
x = 30° or 150°
|
x = 60° or 120°
|
x = 45° or 135°
|
Trigonometric functions and identities
|
2,822 |
trigonometry
|
hard
|
Solve sin(x) = 1/2 for 0° ≤ x ≤ 360°
|
x = 30° or 150°
|
x = 30° or 60°
|
x = 30° or 150°
|
x = 60° or 120°
|
x = 45° or 135°
|
Trigonometric functions and identities
|
59 |
arithmetic
|
easy
|
Calculate 79 - 70
|
9
|
11
|
10
|
9
|
8
|
Standard arithmetic calculation
|
1,603 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
1.74
|
2.94
|
2.54
|
2.24
|
Statistical measure calculation
|
1,254 |
statistics
|
easy
|
Find the median of 15 9 18 8 18 19 12 12
|
13.5
|
15.5
|
13.5
|
11.5
|
14.5
|
Statistical measure calculation
|
4,277 |
linear_algebra
|
easy
|
Calculate 2 × [2, 3]
|
[4, 6]
|
[4, 6]
|
[3, 6]
|
[5, 6]
|
[4, 5]
|
Vector operations and matrix calculations
|
4,891 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
24
|
48
|
60
|
120
|
Permutations and combinations
|
1,783 |
fractions
|
easy
|
What is 1/3 + 1/3?
|
2/3
|
2/4
|
3/3
|
1/3
|
2/3
|
Fraction arithmetic and simplification
|
4,773 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
60
|
50
|
125
|
75
|
Permutations and combinations
|
1,632 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.24
|
2.54
|
1.74
|
2.94
|
Statistical measure calculation
|
2,983 |
probability
|
easy
|
What is the probability of getting heads on a fair coin flip?
|
1/2
|
1/2
|
1/4
|
2/3
|
1/3
|
Probability calculation and expected value
|
4,906 |
combinatorics
|
hard
|
In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?
|
48
|
48
|
60
|
120
|
24
|
Permutations and combinations
|
211 |
arithmetic
|
medium
|
Calculate 180 ÷ 10
|
18
|
18
|
21
|
19
|
16
|
Standard arithmetic calculation
|
1,956 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
0/2
|
1/2
|
2/2
|
1/3
|
Fraction arithmetic and simplification
|
41 |
arithmetic
|
easy
|
Calculate 75 - 54
|
21
|
21
|
20
|
22
|
23
|
Standard arithmetic calculation
|
3,014 |
probability
|
easy
|
What is the probability of getting heads on a fair coin flip?
|
1/2
|
2/3
|
1/4
|
1/3
|
1/2
|
Probability calculation and expected value
|
2,899 |
trigonometry
|
hard
|
Solve sin(x) = 1/2 for 0° ≤ x ≤ 360°
|
x = 30° or 150°
|
x = 30° or 60°
|
x = 30° or 150°
|
x = 60° or 120°
|
x = 45° or 135°
|
Trigonometric functions and identities
|
2,642 |
trigonometry
|
medium
|
Calculate sin²(x) + cos²(x)
|
1
|
2
|
0
|
1
|
sin(2x)
|
Trigonometric functions and identities
|
1,332 |
statistics
|
easy
|
Find the median of 4 3 16 9 2 14
|
6.5
|
8.5
|
4.5
|
7.5
|
6.5
|
Statistical measure calculation
|
1,441 |
statistics
|
medium
|
Calculate the range of 5 5 5 10 11
|
6
|
9
|
7
|
4
|
6
|
Statistical measure calculation
|
1,515 |
statistics
|
medium
|
Calculate the range of 6 6 8 9 19 8
|
13
|
14
|
11
|
16
|
13
|
Statistical measure calculation
|
4,180 |
linear_algebra
|
easy
|
Calculate 2 × [2, 3]
|
[4, 6]
|
[3, 6]
|
[4, 6]
|
[5, 6]
|
[4, 5]
|
Vector operations and matrix calculations
|
4,614 |
combinatorics
|
easy
|
How many ways can 6 people stand in a line?
|
720
|
36
|
120
|
720
|
12
|
Permutations and combinations
|
89 |
arithmetic
|
easy
|
Calculate 84 - 35
|
49
|
50
|
48
|
51
|
49
|
Standard arithmetic calculation
|
4,286 |
linear_algebra
|
easy
|
Calculate 5 × [2, 3]
|
[10, 15]
|
[10, 15]
|
[10, 14]
|
[9, 15]
|
[11, 15]
|
Vector operations and matrix calculations
|
1,036 |
geometry
|
medium
|
Find the area of a circle with radius 4 (use π ≈ 3.14)
|
50.27
|
47.77
|
52.07
|
50.27
|
53.47
|
Geometric calculation and spatial reasoning
|
1,605 |
statistics
|
hard
|
Find the standard deviation of 2 4 6 8 (population)
|
2.24
|
2.54
|
2.24
|
1.74
|
2.94
|
Statistical measure calculation
|
828 |
algebra
|
hard
|
Solve: x² + -13x + 40 = 0
|
x = 8 or x = 5
|
x = 7 or x = 6
|
x = 8 or x = 5
|
x = -8 or x = -5
|
x = 9 or x = 4
|
Algebraic manipulation and solving
|
1,118 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 3 and 4
|
5
|
5
|
6
|
4
|
3
|
Geometric calculation and spatial reasoning
|
1,870 |
fractions
|
medium
|
Calculate 1 × 5/4
|
5/4
|
6/4
|
5/5
|
4/5
|
5/4
|
Fraction arithmetic and simplification
|
443 |
algebra
|
easy
|
What is 4x when x = 9?
|
36
|
36
|
38
|
41
|
33
|
Algebraic manipulation and solving
|
2,306 |
calculus
|
medium
|
What is d/dx(5x^4 - 2x + 1)?
|
20x^3 - 2
|
5x^3 - 2
|
20x^4 - 2
|
20x^3 - 1
|
20x^3 - 2
|
Calculus differentiation and integration
|
817 |
algebra
|
hard
|
Solve: x² + -12x + 35 = 0
|
x = 7 or x = 5
|
x = 6 or x = 6
|
x = 7 or x = 5
|
x = -7 or x = -5
|
x = 8 or x = 4
|
Algebraic manipulation and solving
|
2,428 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
cos(2x)
|
2x sin(x²)
|
cos(x²)
|
2x cos(x²)
|
Calculus differentiation and integration
|
689 |
algebra
|
medium
|
Find x: x² = 81
|
9
|
10
|
12
|
7
|
9
|
Algebraic manipulation and solving
|
3,130 |
probability
|
medium
|
Probability of rolling two sixes with two dice
|
1/36
|
1/35
|
1/30
|
1/36
|
1/32
|
Probability calculation and expected value
|
1,220 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 8 and 15
|
17
|
17
|
15
|
18
|
16
|
Geometric calculation and spatial reasoning
|
1,876 |
fractions
|
medium
|
Calculate 1 × 1/3
|
1/3
|
1/3
|
3/1
|
1/4
|
2/3
|
Fraction arithmetic and simplification
|
3,066 |
probability
|
medium
|
Probability of drawing an ace from a standard deck
|
1/13
|
1/15
|
1/14
|
1/13
|
1/12
|
Probability calculation and expected value
|
529 |
algebra
|
easy
|
Solve for x: x + 11 = 15
|
4
|
7
|
5
|
4
|
2
|
Algebraic manipulation and solving
|
1,182 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 8 and 15
|
17
|
16
|
17
|
15
|
18
|
Geometric calculation and spatial reasoning
|
3,458 |
number_theory
|
easy
|
What is the GCD of 12 and 18?
|
6
|
7
|
6
|
5
|
4
|
Number theory and modular arithmetic
|
2,451 |
calculus
|
hard
|
Find the derivative of sin(x²)
|
2x cos(x²)
|
cos(x²)
|
cos(2x)
|
2x sin(x²)
|
2x cos(x²)
|
Calculus differentiation and integration
|
3,362 |
number_theory
|
easy
|
Is 13 a prime number?
|
Yes
|
Cannot determine
|
Yes
|
Only if x>0
|
No
|
Number theory and modular arithmetic
|
1,344 |
statistics
|
easy
|
What is the mean of 11 3 20 19?
|
13.2
|
13.2
|
15.2
|
11.2
|
14.2
|
Statistical measure calculation
|
1,145 |
geometry
|
hard
|
Find the hypotenuse of a right triangle with legs 7 and 24
|
25
|
25
|
26
|
23
|
24
|
Geometric calculation and spatial reasoning
|
1,520 |
statistics
|
medium
|
What is the mode of 19 6 6 10 6 5 20?
|
6
|
6
|
4
|
9
|
7
|
Statistical measure calculation
|
3,465 |
number_theory
|
easy
|
What is the GCD of 14 and 21?
|
7
|
8
|
6
|
7
|
5
|
Number theory and modular arithmetic
|
4,776 |
combinatorics
|
medium
|
How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
|
60
|
75
|
60
|
50
|
125
|
Permutations and combinations
|
2,066 |
fractions
|
hard
|
Simplify (2/3 + 1/6) × 3/5
|
1/2
|
1/3
|
2/2
|
0/2
|
1/2
|
Fraction arithmetic and simplification
|
521 |
algebra
|
easy
|
What is 4x when x = 8?
|
32
|
32
|
37
|
34
|
29
|
Algebraic manipulation and solving
|
2,747 |
trigonometry
|
medium
|
What is tan(45°)?
|
1
|
0
|
√2
|
1
|
√3
|
Trigonometric functions and identities
|
1,375 |
statistics
|
easy
|
Find the median of 10 9 8 15 13 11
|
10.5
|
10.5
|
8.5
|
12.5
|
11.5
|
Statistical measure calculation
|
2,981 |
probability
|
easy
|
How many outcomes when rolling a six-sided die?
|
6
|
8
|
7
|
5
|
6
|
Probability calculation and expected value
|
203 |
arithmetic
|
medium
|
Calculate 228 ÷ 12
|
19
|
22
|
20
|
19
|
17
|
Standard arithmetic calculation
|
2,877 |
trigonometry
|
hard
|
Solve sin(x) = 1/2 for 0° ≤ x ≤ 360°
|
x = 30° or 150°
|
x = 30° or 60°
|
x = 30° or 150°
|
x = 60° or 120°
|
x = 45° or 135°
|
Trigonometric functions and identities
|
70 |
arithmetic
|
easy
|
Calculate 55 - 37
|
18
|
20
|
17
|
19
|
18
|
Standard arithmetic calculation
|
4,413 |
linear_algebra
|
medium
|
What is the dot product of [3, 4] and [2, 1]?
|
10
|
11
|
9
|
10
|
8
|
Vector operations and matrix calculations
|
3,101 |
probability
|
medium
|
Probability of drawing an ace from a standard deck
|
1/13
|
1/13
|
1/15
|
1/14
|
1/12
|
Probability calculation and expected value
|
3,718 |
number_theory
|
hard
|
What is 7³ mod 11?
|
2
|
3
|
4
|
2
|
1
|
Number theory and modular arithmetic
|
4,668 |
combinatorics
|
easy
|
How many ways to choose 2 items from 4 items?
|
6
|
8
|
4
|
5
|
6
|
Permutations and combinations
|
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MathsBench
This repository contains the dataset for conducting the Large Language Model (LLM) Mathematics Benchmark.
If you find this work relevant or helpful to your work, please kindly cite it:
@misc{mathsbenchdataset,
title={MathsBench Dataset},
author={Finbarrs Oketunji},
year={2025}
}
Copyright
(c) Copyright 2025 Finbarrs Oketunji. All Rights Reserved.
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