0xnu/maths_bench · Datasets at Hugging Face

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
2,796	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
4,384	linear_algebra	medium	What is the dot product of [3, 4] and [2, 1]?	10	9	11	10	8	Vector operations and matrix calculations
1,235	geometry	hard	Find the hypotenuse of a right triangle with legs 9 and 12	15	16	13	14	15	Geometric calculation and spatial reasoning
855	geometry	easy	How many sides does a hexagon have?	6	8	7	5	6	Geometric calculation and spatial reasoning
2,890	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
73	arithmetic	easy	Find 7 × 8	56	56	53	61	58	Standard arithmetic calculation
1,728	fractions	easy	Simplify 18/18	1/1	17/17	19/19	9/9	1/1	Fraction arithmetic and simplification
4,918	combinatorics	hard	In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?	48	24	120	48	60	Permutations and combinations
1,885	fractions	medium	Divide 3/7 ÷ 2/3	9/14	9/15	9/14	14/9	10/14	Fraction arithmetic and simplification
4,618	combinatorics	easy	How many ways to choose 2 items from 4 items?	6	4	8	5	6	Permutations and combinations
369	arithmetic	hard	Calculate (5^3 × 2) ÷ 5	50	45	53	58	50	Standard arithmetic calculation
3,802	logic	easy	True or False: 5 > 3 AND 2 < 4	True	Cannot determine	True	Depends on context	False	Logical reasoning and boolean operations
3,888	logic	easy	True or False: 5 > 3 AND 2 < 4	True	False	Cannot determine	Depends on context	True	Logical reasoning and boolean operations
4,802	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
2,838	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
4,135	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
1,582	statistics	hard	Find the standard deviation of 2 4 6 8 (population)	2.24	2.24	2.94	2.54	1.74	Statistical measure calculation
3,428	number_theory	easy	Is 31 a prime number?	Yes	Only if x>0	Cannot determine	Yes	No	Number theory and modular arithmetic
1,820	fractions	medium	Calculate 4/3 × 1/2	2/3	2/4	2/3	3/3	3/2	Fraction arithmetic and simplification
793	algebra	hard	Solve: x² + -11x + 30 = 0	x = 5 or x = 6	x = 4 or x = 7	x = 5 or x = 6	x = -5 or x = -6	x = 6 or x = 5	Algebraic manipulation and solving
279	arithmetic	hard	Calculate (6^4 × 4) ÷ 5	1036	1039	1031	1036	1044	Standard arithmetic calculation
4,378	linear_algebra	medium	What is the dot product of [3, 4] and [2, 1]?	10	11	9	8	10	Vector operations and matrix calculations
1,551	statistics	hard	Find the standard deviation of 2 4 6 8 (population)	2.24	2.24	1.74	2.54	2.94	Statistical measure calculation
55	arithmetic	easy	Calculate 81 - 23	58	57	59	60	58	Standard arithmetic calculation
4,540	linear_algebra	hard	Find the determinant of matrix [[2, 3], [1, 4]]	5	6	3	4	5	Vector operations and matrix calculations
4,268	linear_algebra	easy	Add vectors [2, 3] + [1, 4]	[3, 7]	[4, 7]	[3, 6]	[3, 7]	[2, 7]	Vector operations and matrix calculations
712	algebra	hard	Solve: x² + -11x + 30 = 0	x = 6 or x = 5	x = 5 or x = 6	x = 6 or x = 5	x = -6 or x = -5	x = 7 or x = 4	Algebraic manipulation and solving
4,606	combinatorics	easy	How many ways to choose 2 items from 4 items?	6	6	8	5	4	Permutations and combinations
1,092	geometry	medium	What is the volume of a cube with side length 6?	216	231	196	216	251	Geometric calculation and spatial reasoning
2,440	calculus	hard	Find the derivative of sin(x²)	2x cos(x²)	2x cos(x²)	cos(2x)	2x sin(x²)	cos(x²)	Calculus differentiation and integration
310	arithmetic	hard	Calculate (3^4 × 4) ÷ 8	40	40	48	43	35	Standard arithmetic calculation
1,921	fractions	medium	Calculate 5/4 × 1/3	5/12	5/12	6/12	12/5	5/13	Fraction arithmetic and simplification
2,310	calculus	medium	What is d/dx(3x^2 - 6x + 1)?	6x^1 - 6	6x^1 - 6	3x^1 - 6	6x^1 - 1	6x^2 - 6	Calculus differentiation and integration
4,555	linear_algebra	hard	Find the determinant of matrix [[2, 3], [1, 4]]	5	3	5	4	6	Vector operations and matrix calculations
2,869	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
2,605	trigonometry	easy	What is sin(60°)?	0.87	0.87	0	-1	1	Trigonometric functions and identities
1,858	fractions	medium	Divide 4/5 ÷ 1	4/5	4/6	4/5	5/5	5/4	Fraction arithmetic and simplification
3,692	number_theory	hard	What is 7³ mod 11?	2	3	1	2	4	Number theory and modular arithmetic
885	geometry	easy	What is the area of a rectangle with length 6 and width 4?	24	24	27	32	19	Geometric calculation and spatial reasoning
1,765	fractions	easy	Simplify 18/18	1/1	9/9	17/17	19/19	1/1	Fraction arithmetic and simplification
17	arithmetic	easy	Calculate 59 - 58	1	0	2	1	3	Standard arithmetic calculation
3,168	probability	medium	Probability of drawing an ace from a standard deck	1/13	1/15	1/12	1/13	1/14	Probability calculation and expected value
3,813	logic	easy	True or False: 5 > 3 AND 2 < 4	True	True	Depends on context	Cannot determine	False	Logical reasoning and boolean operations
1,341	statistics	easy	Find the median of 7 9 16 14 14 9	11.5	13.5	9.5	12.5	11.5	Statistical measure calculation
2,230	calculus	medium	What is d/dx(3x^4 - 1x + 1)?	12x^3 - 1	12x^4 - 1	12x^3 - 1	3x^3 - 1	12x^3 - 1	Calculus differentiation and integration
3,135	probability	medium	Probability of drawing an ace from a standard deck	1/13	1/15	1/12	1/13	1/14	Probability calculation and expected value
4,718	combinatorics	easy	How many ways to choose 2 items from 4 items?	6	6	8	4	5	Permutations and combinations
618	algebra	medium	Solve: 2x - 7 = 22	14	14	17	15	12	Algebraic manipulation and solving
3,993	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
4,410	linear_algebra	medium	What is the dot product of [3, 4] and [2, 1]?	10	9	11	8	10	Vector operations and matrix calculations
3,029	probability	easy	How many outcomes when rolling a six-sided die?	6	6	7	8	5	Probability calculation and expected value
1,722	fractions	easy	What is 1/4 + 1/4?	1/2	1/3	0/2	1/2	2/2	Fraction arithmetic and simplification
2,160	calculus	easy	Find d/dx(x^5)	5x^4	x^5	5x^5	x^4	5x^4	Calculus differentiation and integration
159	arithmetic	medium	What is 25% of 96?	24	29	24	34	19	Standard arithmetic calculation
147	arithmetic	medium	What is 40% of 157?	62	57	67	72	62	Standard arithmetic calculation
3,137	probability	medium	Probability of drawing an ace from a standard deck	1/13	1/15	1/12	1/14	1/13	Probability calculation and expected value
3,793	logic	easy	If all cats are mammals and Fluffy is a cat, then Fluffy is a:	mammal	mammal	pet	cat	animal	Logical reasoning and boolean operations
4,765	combinatorics	medium	How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?	60	50	60	125	75	Permutations and combinations
1,415	statistics	medium	Calculate the range of 6 18 20 18 8 7 20	14	15	17	12	14	Statistical measure calculation
1,000	geometry	medium	Find the area of a circle with radius 5 (use π ≈ 3.14)	78.54	78.54	80.34	81.74	76.04	Geometric calculation and spatial reasoning
3,986	logic	medium	What is NOT(True AND False)?	True	True	Cannot determine	Depends on values	False	Logical reasoning and boolean operations
1,906	fractions	medium	Calculate 2/3 × 1/2	1/3	3/1	1/4	1/3	2/3	Fraction arithmetic and simplification
1,569	statistics	hard	Find the standard deviation of 2 4 6 8 (population)	2.24	2.94	2.24	2.54	1.74	Statistical measure calculation
879	geometry	easy	How many sides does a pentagon have?	5	5	4	7	6	Geometric calculation and spatial reasoning
1,023	geometry	medium	Find the area of a circle with radius 4 (use π ≈ 3.14)	50.27	50.27	53.47	52.07	47.77	Geometric calculation and spatial reasoning
190	arithmetic	medium	Calculate 260 ÷ 13	20	21	20	23	18	Standard arithmetic calculation
448	algebra	easy	Solve for x: x + 4 = 12	8	11	8	9	6	Algebraic manipulation and solving
2,758	trigonometry	medium	Calculate sin²(x) + cos²(x)	1	sin(2x)	0	1	2	Trigonometric functions and identities
2,289	calculus	medium	What is d/dx(5x^3 - 2x + 1)?	15x^2 - 2	5x^2 - 2	15x^2 - 1	15x^2 - 2	15x^3 - 2	Calculus differentiation and integration
3,289	probability	hard	Expected value of rolling a fair six-sided die	3.5	4.5	3	3.5	4	Probability calculation and expected value
226	arithmetic	medium	What is 12²?	144	159	152	144	134	Standard arithmetic calculation
681	algebra	medium	Find x: x² = 36	6	4	6	9	7	Algebraic manipulation and solving
2,153	calculus	easy	Evaluate ∫x^4 dx	x^5/5 + C	x^5/5 + C	x^4 + C	4x^3 + C	x^6/6 + C	Calculus differentiation and integration
4,168	logic	hard	Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True	True	True	Depends on other variables	False	Cannot determine	Logical reasoning and boolean operations
4,427	linear_algebra	medium	What is the dot product of [3, 4] and [2, 1]?	10	9	11	8	10	Vector operations and matrix calculations
4,136	logic	hard	Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True	True	Cannot determine	True	Depends on other variables	False	Logical reasoning and boolean operations
2,042	fractions	hard	Simplify (2/3 + 1/6) × 3/5	1/2	1/3	1/2	2/2	0/2	Fraction arithmetic and simplification
1,170	geometry	hard	Find the hypotenuse of a right triangle with legs 8 and 15	17	18	16	15	17	Geometric calculation and spatial reasoning
2,761	trigonometry	medium	What is tan(45°)?	1	1	0	√3	√2	Trigonometric functions and identities
1,706	fractions	easy	Simplify 28/12	7/3	14/6	7/3	27/11	29/13	Fraction arithmetic and simplification
794	algebra	hard	Solve: x² + -6x + 8 = 0	x = 4 or x = 2	x = 3 or x = 3	x = 4 or x = 2	x = -4 or x = -2	x = 5 or x = 1	Algebraic manipulation and solving
34	arithmetic	easy	Calculate 89 - 84	5	5	6	7	4	Standard arithmetic calculation
1,157	geometry	hard	Find the hypotenuse of a right triangle with legs 8 and 15	17	17	15	18	16	Geometric calculation and spatial reasoning
1,566	statistics	hard	Find the standard deviation of 2 4 6 8 (population)	2.24	1.74	2.24	2.54	2.94	Statistical measure calculation
1,259	statistics	easy	Find the median of 12 4 7 14 20 19 7 5	9.5	9.5	7.5	11.5	10.5	Statistical measure calculation
3,881	logic	easy	If all cats are mammals and Fluffy is a cat, then Fluffy is a:	mammal	pet	cat	mammal	animal	Logical reasoning and boolean operations
394	arithmetic	hard	Calculate (4^4 × 3) ÷ 5	153	148	156	153	161	Standard arithmetic calculation
830	algebra	hard	Solve: x² + -12x + 32 = 0	x = 4 or x = 8	x = 3 or x = 9	x = 4 or x = 8	x = -4 or x = -8	x = 5 or x = 7	Algebraic manipulation and solving
4,336	linear_algebra	medium	What is the dot product of [3, 4] and [2, 1]?	10	8	10	11	9	Vector operations and matrix calculations
3,632	number_theory	hard	What is 7³ mod 11?	2	3	2	4	1	Number theory and modular arithmetic
4,102	logic	hard	Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True	True	True	False	Depends on other variables	Cannot determine	Logical reasoning and boolean operations
311	arithmetic	hard	Calculate (6^3 × 4) ÷ 9	96	91	104	96	99	Standard arithmetic calculation
37	arithmetic	easy	Calculate 79 - 47	32	32	34	33	31	Standard arithmetic calculation
236	arithmetic	medium	What is 25% of 135?	33	28	38	33	43	Standard arithmetic calculation
1,865	fractions	medium	Divide 3/5 ÷ 2/5	3/2	3/3	3/2	2/3	4/2	Fraction arithmetic and simplification
1,940	fractions	medium	Calculate 1 × 3/5	3/5	3/6	3/5	4/5	5/3	Fraction arithmetic and simplification
4,140	logic	hard	Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True	True	False	True	Cannot determine	Depends on other variables	Logical reasoning and boolean operations
3,407	number_theory	easy	What is the GCD of 8 and 12?	4	3	4	2	5	Number theory and modular arithmetic
3,833	logic	easy	If all cats are mammals and Fluffy is a cat, then Fluffy is a:	mammal	mammal	cat	animal	pet	Logical reasoning and boolean operations
4,472	linear_algebra	hard	Find the determinant of matrix [[2, 3], [1, 4]]	5	5	3	4	6	Vector operations and matrix calculations

2,796

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

4,384

linear_algebra

medium

What is the dot product of [3, 4] and [2, 1]?

10

9

11

10

8

Vector operations and matrix calculations

1,235

geometry

hard

Find the hypotenuse of a right triangle with legs 9 and 12

15

16

13

14

15

Geometric calculation and spatial reasoning

855

geometry

easy

How many sides does a hexagon have?

6

8

7

5

6

Geometric calculation and spatial reasoning

2,890

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

73

arithmetic

easy

Find 7 × 8

56

53

61

58

Standard arithmetic calculation

1,728

fractions

easy

Simplify 18/18

1/1

17/17

19/19

9/9

1/1

Fraction arithmetic and simplification

4,918

combinatorics

hard

In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?

48

24

120

48

60

Permutations and combinations

1,885

fractions

medium

Divide 3/7 ÷ 2/3

9/14

9/15

9/14

14/9

10/14

Fraction arithmetic and simplification

4,618

combinatorics

easy

How many ways to choose 2 items from 4 items?

6

4

8

5

6

Permutations and combinations

369

arithmetic

hard

Calculate (5^3 × 2) ÷ 5

50

45

53

58

50

Standard arithmetic calculation

3,802

logic

easy

True or False: 5 > 3 AND 2 < 4

True

Cannot determine

True

Depends on context

False

Logical reasoning and boolean operations

3,888

logic

easy

True or False: 5 > 3 AND 2 < 4

True

False

Cannot determine

Depends on context

True

Logical reasoning and boolean operations

4,802

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

2,838

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

4,135

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

1,582

statistics

hard

Find the standard deviation of 2 4 6 8 (population)

2.24

2.94

2.54

1.74

Statistical measure calculation

3,428

number_theory

easy

Is 31 a prime number?

Yes

Only if x>0

Cannot determine

Yes

No

Number theory and modular arithmetic

1,820

fractions

medium

Calculate 4/3 × 1/2

2/3

2/4

2/3

3/3

3/2

Fraction arithmetic and simplification

793

algebra

hard

Solve: x² + -11x + 30 = 0

x = 5 or x = 6

x = 4 or x = 7

x = 5 or x = 6

x = -5 or x = -6

x = 6 or x = 5

Algebraic manipulation and solving

279

arithmetic

hard

Calculate (6^4 × 4) ÷ 5

1036

1039

1031

1036

1044

Standard arithmetic calculation

4,378

linear_algebra

medium

What is the dot product of [3, 4] and [2, 1]?

10

11

9

8

10

Vector operations and matrix calculations

1,551

statistics

hard

Find the standard deviation of 2 4 6 8 (population)

2.24

1.74

2.54

2.94

Statistical measure calculation

55

arithmetic

easy

Calculate 81 - 23

58

57

59

60

58

Standard arithmetic calculation

4,540

linear_algebra

hard

Find the determinant of matrix [[2, 3], [1, 4]]

5

6

3

4

5

Vector operations and matrix calculations

4,268

linear_algebra

easy

Add vectors [2, 3] + [1, 4]

[3, 7]

[4, 7]

[3, 6]

[3, 7]

[2, 7]

Vector operations and matrix calculations

712

algebra

hard

Solve: x² + -11x + 30 = 0

x = 6 or x = 5

x = 5 or x = 6

x = 6 or x = 5

x = -6 or x = -5

x = 7 or x = 4

Algebraic manipulation and solving

4,606

combinatorics

easy

How many ways to choose 2 items from 4 items?

6

8

5

4

Permutations and combinations

1,092

geometry

medium

What is the volume of a cube with side length 6?

216

231

196

216

251

Geometric calculation and spatial reasoning

2,440

calculus

hard

Find the derivative of sin(x²)

2x cos(x²)

cos(2x)

2x sin(x²)

cos(x²)

Calculus differentiation and integration

310

arithmetic

hard

Calculate (3^4 × 4) ÷ 8

40

48

43

35

Standard arithmetic calculation

1,921

fractions

medium

Calculate 5/4 × 1/3

5/12

6/12

12/5

5/13

Fraction arithmetic and simplification

2,310

calculus

medium

What is d/dx(3x^2 - 6x + 1)?

6x^1 - 6

3x^1 - 6

6x^1 - 1

6x^2 - 6

Calculus differentiation and integration

4,555

linear_algebra

hard

Find the determinant of matrix [[2, 3], [1, 4]]

5

3

5

4

6

Vector operations and matrix calculations

2,869

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

2,605

trigonometry

easy

What is sin(60°)?

0.87

0

-1

1

Trigonometric functions and identities

1,858

fractions

medium

Divide 4/5 ÷ 1

4/5

4/6

4/5

5/5

5/4

Fraction arithmetic and simplification

3,692

number_theory

hard

What is 7³ mod 11?

2

3

1

2

4

Number theory and modular arithmetic

885

geometry

easy

What is the area of a rectangle with length 6 and width 4?

24

27

32

19

Geometric calculation and spatial reasoning

1,765

fractions

easy

Simplify 18/18

1/1

9/9

17/17

19/19

1/1

Fraction arithmetic and simplification

17

arithmetic

easy

Calculate 59 - 58

1

0

2

1

3

Standard arithmetic calculation

3,168

probability

medium

Probability of drawing an ace from a standard deck

1/13

1/15

1/12

1/13

1/14

Probability calculation and expected value

3,813

logic

easy

True or False: 5 > 3 AND 2 < 4

True

Depends on context

Cannot determine

False

Logical reasoning and boolean operations

1,341

statistics

easy

Find the median of 7 9 16 14 14 9

11.5

13.5

9.5

12.5

11.5

Statistical measure calculation

2,230

calculus

medium

What is d/dx(3x^4 - 1x + 1)?

12x^3 - 1

12x^4 - 1

12x^3 - 1

3x^3 - 1

12x^3 - 1

Calculus differentiation and integration

3,135

probability

medium

Probability of drawing an ace from a standard deck

1/13

1/15

1/12

1/13

1/14

Probability calculation and expected value

4,718

combinatorics

easy

How many ways to choose 2 items from 4 items?

6

8

4

5

Permutations and combinations

618

algebra

medium

Solve: 2x - 7 = 22

14

17

15

12

Algebraic manipulation and solving

3,993

logic

medium

If P implies Q and P is true, what can we conclude about Q?

Q is true

P is false

Q is false

Cannot determine

Logical reasoning and boolean operations

4,410

linear_algebra

medium

What is the dot product of [3, 4] and [2, 1]?

10

9

11

8

10

Vector operations and matrix calculations

3,029

probability

easy

How many outcomes when rolling a six-sided die?

6

7

8

5

Probability calculation and expected value

1,722

fractions

easy

What is 1/4 + 1/4?

1/2

1/3

0/2

1/2

2/2

Fraction arithmetic and simplification

2,160

calculus

easy

Find d/dx(x^5)

5x^4

x^5

5x^5

x^4

5x^4

Calculus differentiation and integration

159

arithmetic

medium

What is 25% of 96?

24

29

24

34

19

Standard arithmetic calculation

147

arithmetic

medium

What is 40% of 157?

62

57

67

72

62

Standard arithmetic calculation

3,137

probability

medium

Probability of drawing an ace from a standard deck

1/13

1/15

1/12

1/14

1/13

Probability calculation and expected value

3,793

logic

easy

If all cats are mammals and Fluffy is a cat, then Fluffy is a:

mammal

pet

cat

animal

Logical reasoning and boolean operations

4,765

combinatorics

medium

How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?

60

50

60

125

75

Permutations and combinations

1,415

statistics

medium

Calculate the range of 6 18 20 18 8 7 20

14

15

17

12

14

Statistical measure calculation

1,000

geometry

medium

Find the area of a circle with radius 5 (use π ≈ 3.14)

78.54

80.34

81.74

76.04

Geometric calculation and spatial reasoning

3,986

logic

medium

What is NOT(True AND False)?

True

Cannot determine

Depends on values

False

Logical reasoning and boolean operations

1,906

fractions

medium

Calculate 2/3 × 1/2

1/3

3/1

1/4

1/3

2/3

Fraction arithmetic and simplification

1,569

statistics

hard

Find the standard deviation of 2 4 6 8 (population)

2.24

2.94

2.24

2.54

1.74

Statistical measure calculation

879

geometry

easy

How many sides does a pentagon have?

5

4

7

6

Geometric calculation and spatial reasoning

1,023

geometry

medium

Find the area of a circle with radius 4 (use π ≈ 3.14)

50.27

53.47

52.07

47.77

Geometric calculation and spatial reasoning

190

arithmetic

medium

Calculate 260 ÷ 13

20

21

20

23

18

Standard arithmetic calculation

448

algebra

easy

Solve for x: x + 4 = 12

8

11

8

9

6

Algebraic manipulation and solving

2,758

trigonometry

medium

Calculate sin²(x) + cos²(x)

1

sin(2x)

0

1

2

Trigonometric functions and identities

2,289

calculus

medium

What is d/dx(5x^3 - 2x + 1)?

15x^2 - 2

5x^2 - 2

15x^2 - 1

15x^2 - 2

15x^3 - 2

Calculus differentiation and integration

3,289

probability

hard

Expected value of rolling a fair six-sided die

3.5

4.5

3

3.5

4

Probability calculation and expected value

226

arithmetic

medium

What is 12²?

144

159

152

144

134

Standard arithmetic calculation

681

algebra

medium

Find x: x² = 36

6

4

6

9

7

Algebraic manipulation and solving

2,153

calculus

easy

Evaluate ∫x^4 dx

x^5/5 + C

x^4 + C

4x^3 + C

x^6/6 + C

Calculus differentiation and integration

4,168

logic

hard

Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True

True

Depends on other variables

False

Cannot determine

Logical reasoning and boolean operations

4,427

linear_algebra

medium

What is the dot product of [3, 4] and [2, 1]?

10

9

11

8

10

Vector operations and matrix calculations

4,136

logic

hard

Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True

True

Cannot determine

True

Depends on other variables

False

Logical reasoning and boolean operations

2,042

fractions

hard

Simplify (2/3 + 1/6) × 3/5

1/2

1/3

1/2

2/2

0/2

Fraction arithmetic and simplification

1,170

geometry

hard

Find the hypotenuse of a right triangle with legs 8 and 15

17

18

16

15

17

Geometric calculation and spatial reasoning

2,761

trigonometry

medium

What is tan(45°)?

1

0

√3

√2

Trigonometric functions and identities

1,706

fractions

easy

Simplify 28/12

7/3

14/6

7/3

27/11

29/13

Fraction arithmetic and simplification

794

algebra

hard

Solve: x² + -6x + 8 = 0

x = 4 or x = 2

x = 3 or x = 3

x = 4 or x = 2

x = -4 or x = -2

x = 5 or x = 1

Algebraic manipulation and solving

34

arithmetic

easy

Calculate 89 - 84

5

6

7

4

Standard arithmetic calculation

1,157

geometry

hard

Find the hypotenuse of a right triangle with legs 8 and 15

17

15

18

16

Geometric calculation and spatial reasoning

1,566

statistics

hard

Find the standard deviation of 2 4 6 8 (population)

2.24

1.74

2.24

2.54

2.94

Statistical measure calculation

1,259

statistics

easy

Find the median of 12 4 7 14 20 19 7 5

9.5

7.5

11.5

10.5

Statistical measure calculation

3,881

logic

easy

If all cats are mammals and Fluffy is a cat, then Fluffy is a:

mammal

pet

cat

mammal

animal

Logical reasoning and boolean operations

394

arithmetic

hard

Calculate (4^4 × 3) ÷ 5

153

148

156

153

161

Standard arithmetic calculation

830

algebra

hard

Solve: x² + -12x + 32 = 0

x = 4 or x = 8

x = 3 or x = 9

x = 4 or x = 8

x = -4 or x = -8

x = 5 or x = 7

Algebraic manipulation and solving

4,336

linear_algebra

medium

What is the dot product of [3, 4] and [2, 1]?

10

8

10

11

9

Vector operations and matrix calculations

3,632

number_theory

hard

What is 7³ mod 11?

2

3

2

4

1

Number theory and modular arithmetic

4,102

logic

hard

Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True

True

False

Depends on other variables

Cannot determine

Logical reasoning and boolean operations

311

arithmetic

hard

Calculate (6^3 × 4) ÷ 9

96

91

104

96

99

Standard arithmetic calculation

37

arithmetic

easy

Calculate 79 - 47

32

34

33

31

Standard arithmetic calculation

236

arithmetic

medium

What is 25% of 135?

33

28

38

33

43

Standard arithmetic calculation

1,865

fractions

medium

Divide 3/5 ÷ 2/5

3/2

3/3

3/2

2/3

4/2

Fraction arithmetic and simplification

1,940

fractions

medium

Calculate 1 × 3/5

3/5

3/6

3/5

4/5

5/3

Fraction arithmetic and simplification

4,140

logic

hard

Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True

True

False

True

Cannot determine

Depends on other variables

Logical reasoning and boolean operations

3,407

number_theory

easy

What is the GCD of 8 and 12?

4

3

4

2

5

Number theory and modular arithmetic

3,833

logic

easy

If all cats are mammals and Fluffy is a cat, then Fluffy is a:

mammal

cat

animal

pet

Logical reasoning and boolean operations

4,472

linear_algebra

hard

Find the determinant of matrix [[2, 3], [1, 4]]

5

3

4

6

Vector operations and matrix calculations