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
367	arithmetic	hard	Calculate (6^4 × 2) ÷ 5	518	518	526	513	521	Standard arithmetic calculation
1,544	statistics	hard	Find the standard deviation of 2 4 6 8 (population)	2.24	1.74	2.54	2.94	2.24	Statistical measure calculation
4,188	linear_algebra	easy	Add vectors [2, 3] + [1, 4]	[3, 7]	[2, 7]	[4, 7]	[3, 6]	[3, 7]	Vector operations and matrix calculations
4,372	linear_algebra	medium	What is the dot product of [3, 4] and [2, 1]?	10	9	11	8	10	Vector operations and matrix calculations
982	geometry	medium	What is the volume of a cube with side length 6?	216	231	216	251	196	Geometric calculation and spatial reasoning
3,422	number_theory	easy	Is 17 a prime number?	Yes	Cannot determine	Only if x>0	Yes	No	Number theory and modular arithmetic
4,320	linear_algebra	medium	What is the dot product of [3, 4] and [2, 1]?	10	10	11	8	9	Vector operations and matrix calculations
2,437	calculus	hard	Find the derivative of sin(x²)	2x cos(x²)	2x cos(x²)	cos(x²)	2x sin(x²)	cos(2x)	Calculus differentiation and integration
4,436	linear_algebra	medium	What is the dot product of [3, 4] and [2, 1]?	10	8	11	9	10	Vector operations and matrix calculations
2,929	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
3,788	logic	easy	True or False: 5 > 3 AND 2 < 4	True	True	Cannot determine	False	Depends on context	Logical reasoning and boolean operations
711	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
4,676	combinatorics	easy	How many ways can 4 people stand in a line?	24	6	16	8	24	Permutations and combinations
2,286	calculus	medium	What is d/dx(5x^4 - 1x + 1)?	20x^3 - 1	20x^4 - 1	20x^3 - 1	20x^3 - 1	5x^3 - 1	Calculus differentiation and integration
3,220	probability	hard	Expected value of rolling a fair six-sided die	3.5	3	3.5	4.5	4	Probability calculation and expected value
4,219	linear_algebra	easy	Calculate 3 × [2, 3]	[6, 9]	[5, 9]	[7, 9]	[6, 9]	[6, 8]	Vector operations and matrix calculations
4,544	linear_algebra	hard	Find the determinant of matrix [[2, 3], [1, 4]]	5	6	5	3	4	Vector operations and matrix calculations
1,296	statistics	easy	Find the median of 20 9 12 14 17 14 5	14	12	16	15	14	Statistical measure calculation
3,923	logic	medium	What is NOT(True AND False)?	True	Cannot determine	Depends on values	True	False	Logical reasoning and boolean operations
4,466	linear_algebra	hard	Find the determinant of matrix [[2, 3], [1, 4]]	5	4	3	5	6	Vector operations and matrix calculations
1,595	statistics	hard	Find the standard deviation of 2 4 6 8 (population)	2.24	2.54	2.94	1.74	2.24	Statistical measure calculation
2,335	calculus	medium	What is d/dx(2x^4 - 1x + 1)?	8x^3 - 1	8x^3 - 1	8x^4 - 1	2x^3 - 1	8x^3 - 1	Calculus differentiation and integration
3,290	probability	hard	Expected value of rolling a fair six-sided die	3.5	3.5	3	4.5	4	Probability calculation and expected value
357	arithmetic	hard	Calculate (5^4 × 4) ÷ 7	357	352	357	360	365	Standard arithmetic calculation
254	arithmetic	medium	Calculate 96 ÷ 8	12	13	15	12	10	Standard arithmetic calculation
4,829	combinatorics	medium	How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?	60	50	60	75	125	Permutations and combinations
4,359	linear_algebra	medium	What is the dot product of [3, 4] and [2, 1]?	10	8	9	11	10	Vector operations and matrix calculations
1,819	fractions	medium	Calculate 4/7 × 3/7	12/49	13/49	12/50	49/12	12/49	Fraction arithmetic and simplification
2,408	calculus	hard	Find the derivative of sin(x²)	2x cos(x²)	cos(2x)	cos(x²)	2x sin(x²)	2x cos(x²)	Calculus differentiation and integration
4,234	linear_algebra	easy	Add vectors [2, 3] + [1, 4]	[3, 7]	[2, 7]	[3, 6]	[3, 7]	[4, 7]	Vector operations and matrix calculations
4,184	linear_algebra	easy	Calculate 3 × [2, 3]	[6, 9]	[6, 8]	[6, 9]	[7, 9]	[5, 9]	Vector operations and matrix calculations
215	arithmetic	medium	What is 20% of 152?	30	30	25	40	35	Standard arithmetic calculation
56	arithmetic	easy	What is 79 + 55?	134	134	135	137	132	Standard arithmetic calculation
3,122	probability	medium	Probability of rolling two sixes with two dice	1/36	1/35	1/32	1/36	1/30	Probability calculation and expected value
1,836	fractions	medium	Divide 1 ÷ 3/5	5/3	3/5	5/4	5/3	6/3	Fraction arithmetic and simplification
1,717	fractions	easy	What is 1/4 + 1/4?	1/2	2/2	1/3	0/2	1/2	Fraction arithmetic and simplification
2,179	calculus	easy	Find d/dx(x^5)	5x^4	x^5	x^4	5x^4	5x^5	Calculus differentiation and integration
4,653	combinatorics	easy	How many ways to choose 2 items from 4 items?	6	4	6	5	8	Permutations and combinations
2,633	trigonometry	easy	Find cos(30°)	√3/2	0	1	√3/2	-1	Trigonometric functions and identities
1,890	fractions	medium	Calculate 2/3 × 3/2	1/1	1/2	1/1	2/1	1/1	Fraction arithmetic and simplification
3,341	number_theory	easy	Is 13 a prime number?	Yes	No	Yes	Only if x>0	Cannot determine	Number theory and modular arithmetic
538	algebra	easy	What is 8x when x = 7?	56	58	56	61	53	Algebraic manipulation and solving
20	arithmetic	easy	What is 51 + 11?	62	63	65	62	60	Standard arithmetic calculation
3,910	logic	medium	If P implies Q and P is true, what can we conclude about Q?	Q is true	P is false	Q is true	Cannot determine	Q is false	Logical reasoning and boolean operations
4,603	combinatorics	easy	How many ways to choose 2 items from 4 items?	6	6	5	4	8	Permutations and combinations
4,075	logic	hard	Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True	True	False	Depends on other variables	True	Cannot determine	Logical reasoning and boolean operations
2,528	trigonometry	easy	Calculate tan(0°)	0	0	undefined	-1	1	Trigonometric functions and identities
4,767	combinatorics	medium	How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?	60	60	125	75	50	Permutations and combinations
4,677	combinatorics	easy	How many ways can 5 people stand in a line?	120	25	10	24	120	Permutations and combinations
3,327	probability	hard	Expected value of rolling a fair six-sided die	3.5	3	4	4.5	3.5	Probability calculation and expected value
3,115	probability	medium	Probability of rolling two sixes with two dice	1/36	1/32	1/35	1/36	1/30	Probability calculation and expected value
4,143	logic	hard	Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True	True	Depends on other variables	Cannot determine	False	True	Logical reasoning and boolean operations
553	algebra	easy	What is 8x when x = 3?	24	21	26	29	24	Algebraic manipulation and solving
696	algebra	hard	Solve: x² + -11x + 28 = 0	x = 4 or x = 7	x = 3 or x = 8	x = 4 or x = 7	x = -4 or x = -7	x = 5 or x = 6	Algebraic manipulation and solving
6	arithmetic	easy	Calculate 56 - 27	29	28	31	30	29	Standard arithmetic calculation
2,607	trigonometry	easy	What is sin(180°)?	0	-1	1	0	0	Trigonometric functions and identities
764	algebra	hard	Solve: x² + -6x + 9 = 0	x = 3 or x = 3	x = 2 or x = 4	x = 3 or x = 3	x = -3 or x = -3	x = 4 or x = 2	Algebraic manipulation and solving
4,742	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
4,518	linear_algebra	hard	Find the determinant of matrix [[2, 3], [1, 4]]	5	3	6	5	4	Vector operations and matrix calculations
4,329	linear_algebra	medium	What is the dot product of [3, 4] and [2, 1]?	10	8	10	9	11	Vector operations and matrix calculations
3,687	number_theory	hard	What is 7³ mod 11?	2	2	3	1	4	Number theory and modular arithmetic
1,609	statistics	hard	Find the standard deviation of 2 4 6 8 (population)	2.24	2.94	1.74	2.54	2.24	Statistical measure calculation
1,916	fractions	medium	Calculate 1/2 × 3/5	3/10	3/11	4/10	10/3	3/10	Fraction arithmetic and simplification
349	arithmetic	hard	Calculate (5^3 × 4) ÷ 9	55	55	50	63	58	Standard arithmetic calculation
1,739	fractions	easy	What is 1/3 + 1/6?	1/2	1/2	1/3	0/2	2/2	Fraction arithmetic and simplification
3,349	number_theory	easy	What is the GCD of 12 and 18?	6	5	4	7	6	Number theory and modular arithmetic
3,770	logic	easy	True or False: 5 > 3 AND 2 < 4	True	True	Depends on context	Cannot determine	False	Logical reasoning and boolean operations
3,019	probability	easy	What is the probability of getting heads on a fair coin flip?	1/2	1/3	2/3	1/4	1/2	Probability calculation and expected value
1,777	fractions	easy	What is 1/4 + 1/6?	5/12	5/12	4/12	6/12	5/13	Fraction arithmetic and simplification
405	arithmetic	hard	Calculate (6^4 × 4) ÷ 4	1296	1291	1304	1296	1299	Standard arithmetic calculation
3,323	probability	hard	Expected value of rolling a fair six-sided die	3.5	3.5	4	4.5	3	Probability calculation and expected value
1,698	fractions	easy	Simplify 40/40	1/1	39/39	41/41	1/1	20/20	Fraction arithmetic and simplification
184	arithmetic	medium	What is 11²?	121	111	129	121	136	Standard arithmetic calculation
1,314	statistics	easy	Find the median of 13 8 2 20	10.5	8.5	12.5	11.5	10.5	Statistical measure calculation
3,344	number_theory	easy	Is 19 a prime number?	Yes	Cannot determine	No	Only if x>0	Yes	Number theory and modular arithmetic
3,441	number_theory	easy	Is 23 a prime number?	Yes	Cannot determine	Only if x>0	No	Yes	Number theory and modular arithmetic
1,382	statistics	easy	What is the mean of 13 17 14 17 8 10 17?	13.7	15.7	13.7	11.7	14.7	Statistical measure calculation
2,183	calculus	easy	What is the derivative of x²?	2x	2x	x²	x	2x²	Calculus differentiation and integration
2,009	fractions	hard	Simplify (2/3 + 1/6) × 3/5	1/2	1/3	1/2	0/2	2/2	Fraction arithmetic and simplification
4,864	combinatorics	hard	In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?	48	60	24	120	48	Permutations and combinations
3,821	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
3,096	probability	medium	Probability of rolling two sixes with two dice	1/36	1/32	1/30	1/36	1/35	Probability calculation and expected value
3,644	number_theory	hard	What is 7³ mod 11?	2	1	2	4	3	Number theory and modular arithmetic
3,174	probability	medium	Probability of drawing an ace from a standard deck	1/13	1/14	1/15	1/12	1/13	Probability calculation and expected value
4,165	logic	hard	Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True	True	False	True	Depends on other variables	Cannot determine	Logical reasoning and boolean operations
1,646	statistics	hard	Find the standard deviation of 2 4 6 8 (population)	2.24	2.94	1.74	2.54	2.24	Statistical measure calculation
3,829	logic	easy	If all cats are mammals and Fluffy is a cat, then Fluffy is a:	mammal	cat	mammal	pet	animal	Logical reasoning and boolean operations
83	arithmetic	easy	Find 11 × 11	121	118	123	126	121	Standard arithmetic calculation
2,021	fractions	hard	Simplify (2/3 + 1/6) × 3/5	1/2	0/2	1/3	2/2	1/2	Fraction arithmetic and simplification
4,997	combinatorics	hard	In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?	48	120	48	24	60	Permutations and combinations
768	algebra	hard	Solve: x² + -8x + 12 = 0	x = 2 or x = 6	x = 1 or x = 7	x = 2 or x = 6	x = -2 or x = -6	x = 3 or x = 5	Algebraic manipulation and solving
362	arithmetic	hard	Calculate (5^3 × 3) ÷ 3	125	133	120	125	128	Standard arithmetic calculation
3,859	logic	easy	If all cats are mammals and Fluffy is a cat, then Fluffy is a:	mammal	pet	mammal	cat	animal	Logical reasoning and boolean operations
4,493	linear_algebra	hard	Find the determinant of matrix [[2, 3], [1, 4]]	5	6	4	3	5	Vector operations and matrix calculations
4,806	combinatorics	medium	How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition?	60	75	125	60	50	Permutations and combinations
2,616	trigonometry	easy	What is sin(90°)?	1	-1	0	1/2	1	Trigonometric functions and identities
3,144	probability	medium	Probability of drawing an ace from a standard deck	1/13	1/12	1/15	1/14	1/13	Probability calculation and expected value
4,941	combinatorics	hard	In how many ways can 5 books be arranged on a shelf if 2 specific books must be together?	48	60	120	48	24	Permutations and combinations
4,261	linear_algebra	easy	Calculate 5 × [2, 3]	[10, 15]	[9, 15]	[11, 15]	[10, 14]	[10, 15]	Vector operations and matrix calculations
3,783	logic	easy	If all cats are mammals and Fluffy is a cat, then Fluffy is a:	mammal	animal	mammal	cat	pet	Logical reasoning and boolean operations

367

arithmetic

hard

Calculate (6^4 × 2) ÷ 5

518

526

513

521

Standard arithmetic calculation

1,544

statistics

hard

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

2.24

1.74

2.54

2.94

2.24

Statistical measure calculation

4,188

linear_algebra

easy

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

[3, 7]

[2, 7]

[4, 7]

[3, 6]

[3, 7]

Vector operations and matrix calculations

4,372

linear_algebra

medium

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

10

9

11

8

10

Vector operations and matrix calculations

982

geometry

medium

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

216

231

216

251

196

Geometric calculation and spatial reasoning

3,422

number_theory

easy

Is 17 a prime number?

Yes

Cannot determine

Only if x>0

Yes

No

Number theory and modular arithmetic

4,320

linear_algebra

medium

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

10

11

8

9

Vector operations and matrix calculations

2,437

calculus

hard

Find the derivative of sin(x²)

2x cos(x²)

cos(x²)

2x sin(x²)

cos(2x)

Calculus differentiation and integration

4,436

linear_algebra

medium

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

10

8

11

9

10

Vector operations and matrix calculations

2,929

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

3,788

logic

easy

True or False: 5 > 3 AND 2 < 4

True

Cannot determine

False

Depends on context

Logical reasoning and boolean operations

711

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

4,676

combinatorics

easy

How many ways can 4 people stand in a line?

24

6

16

8

24

Permutations and combinations

2,286

calculus

medium

What is d/dx(5x^4 - 1x + 1)?

20x^3 - 1

20x^4 - 1

20x^3 - 1

5x^3 - 1

Calculus differentiation and integration

3,220

probability

hard

Expected value of rolling a fair six-sided die

3.5

3

3.5

4.5

4

Probability calculation and expected value

4,219

linear_algebra

easy

Calculate 3 × [2, 3]

[6, 9]

[5, 9]

[7, 9]

[6, 9]

[6, 8]

Vector operations and matrix calculations

4,544

linear_algebra

hard

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

5

6

5

3

4

Vector operations and matrix calculations

1,296

statistics

easy

Find the median of 20 9 12 14 17 14 5

14

12

16

15

14

Statistical measure calculation

3,923

logic

medium

What is NOT(True AND False)?

True

Cannot determine

Depends on values

True

False

Logical reasoning and boolean operations

4,466

linear_algebra

hard

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

5

4

3

5

6

Vector operations and matrix calculations

1,595

statistics

hard

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

2.24

2.54

2.94

1.74

2.24

Statistical measure calculation

2,335

calculus

medium

What is d/dx(2x^4 - 1x + 1)?

8x^3 - 1

8x^4 - 1

2x^3 - 1

8x^3 - 1

Calculus differentiation and integration

3,290

probability

hard

Expected value of rolling a fair six-sided die

3.5

3

4.5

4

Probability calculation and expected value

357

arithmetic

hard

Calculate (5^4 × 4) ÷ 7

357

352

357

360

365

Standard arithmetic calculation

254

arithmetic

medium

Calculate 96 ÷ 8

12

13

15

12

10

Standard arithmetic calculation

4,829

combinatorics

medium

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

60

50

60

75

125

Permutations and combinations

4,359

linear_algebra

medium

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

10

8

9

11

10

Vector operations and matrix calculations

1,819

fractions

medium

Calculate 4/7 × 3/7

12/49

13/49

12/50

49/12

12/49

Fraction arithmetic and simplification

2,408

calculus

hard

Find the derivative of sin(x²)

2x cos(x²)

cos(2x)

cos(x²)

2x sin(x²)

2x cos(x²)

Calculus differentiation and integration

4,234

linear_algebra

easy

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

[3, 7]

[2, 7]

[3, 6]

[3, 7]

[4, 7]

Vector operations and matrix calculations

4,184

linear_algebra

easy

Calculate 3 × [2, 3]

[6, 9]

[6, 8]

[6, 9]

[7, 9]

[5, 9]

Vector operations and matrix calculations

215

arithmetic

medium

What is 20% of 152?

30

25

40

35

Standard arithmetic calculation

56

arithmetic

easy

What is 79 + 55?

134

135

137

132

Standard arithmetic calculation

3,122

probability

medium

Probability of rolling two sixes with two dice

1/36

1/35

1/32

1/36

1/30

Probability calculation and expected value

1,836

fractions

medium

Divide 1 ÷ 3/5

5/3

3/5

5/4

5/3

6/3

Fraction arithmetic and simplification

1,717

fractions

easy

What is 1/4 + 1/4?

1/2

2/2

1/3

0/2

1/2

Fraction arithmetic and simplification

2,179

calculus

easy

Find d/dx(x^5)

5x^4

x^5

x^4

5x^4

5x^5

Calculus differentiation and integration

4,653

combinatorics

easy

How many ways to choose 2 items from 4 items?

6

4

6

5

8

Permutations and combinations

2,633

trigonometry

easy

Find cos(30°)

√3/2

0

1

√3/2

-1

Trigonometric functions and identities

1,890

fractions

medium

Calculate 2/3 × 3/2

1/1

1/2

1/1

2/1

1/1

Fraction arithmetic and simplification

3,341

number_theory

easy

Is 13 a prime number?

Yes

No

Yes

Only if x>0

Cannot determine

Number theory and modular arithmetic

538

algebra

easy

What is 8x when x = 7?

56

58

56

61

53

Algebraic manipulation and solving

20

arithmetic

easy

What is 51 + 11?

62

63

65

62

60

Standard arithmetic calculation

3,910

logic

medium

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

Q is true

P is false

Q is true

Cannot determine

Q is false

Logical reasoning and boolean operations

4,603

combinatorics

easy

How many ways to choose 2 items from 4 items?

6

5

4

8

Permutations and combinations

4,075

logic

hard

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

True

False

Depends on other variables

True

Cannot determine

Logical reasoning and boolean operations

2,528

trigonometry

easy

Calculate tan(0°)

0

undefined

-1

1

Trigonometric functions and identities

4,767

combinatorics

medium

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

60

125

75

50

Permutations and combinations

4,677

combinatorics

easy

How many ways can 5 people stand in a line?

120

25

10

24

120

Permutations and combinations

3,327

probability

hard

Expected value of rolling a fair six-sided die

3.5

3

4

4.5

3.5

Probability calculation and expected value

3,115

probability

medium

Probability of rolling two sixes with two dice

1/36

1/32

1/35

1/36

1/30

Probability calculation and expected value

4,143

logic

hard

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

True

Depends on other variables

Cannot determine

False

True

Logical reasoning and boolean operations

553

algebra

easy

What is 8x when x = 3?

24

21

26

29

24

Algebraic manipulation and solving

696

algebra

hard

Solve: x² + -11x + 28 = 0

x = 4 or x = 7

x = 3 or x = 8

x = 4 or x = 7

x = -4 or x = -7

x = 5 or x = 6

Algebraic manipulation and solving

6

arithmetic

easy

Calculate 56 - 27

29

28

31

30

29

Standard arithmetic calculation

2,607

trigonometry

easy

What is sin(180°)?

0

-1

1

0

Trigonometric functions and identities

764

algebra

hard

Solve: x² + -6x + 9 = 0

x = 3 or x = 3

x = 2 or x = 4

x = 3 or x = 3

x = -3 or x = -3

x = 4 or x = 2

Algebraic manipulation and solving

4,742

combinatorics

medium

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

60

50

125

75

Permutations and combinations

4,518

linear_algebra

hard

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

5

3

6

5

4

Vector operations and matrix calculations

4,329

linear_algebra

medium

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

10

8

10

9

11

Vector operations and matrix calculations

3,687

number_theory

hard

What is 7³ mod 11?

2

3

1

4

Number theory and modular arithmetic

1,609

statistics

hard

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

2.24

2.94

1.74

2.54

2.24

Statistical measure calculation

1,916

fractions

medium

Calculate 1/2 × 3/5

3/10

3/11

4/10

10/3

3/10

Fraction arithmetic and simplification

349

arithmetic

hard

Calculate (5^3 × 4) ÷ 9

55

50

63

58

Standard arithmetic calculation

1,739

fractions

easy

What is 1/3 + 1/6?

1/2

1/3

0/2

2/2

Fraction arithmetic and simplification

3,349

number_theory

easy

What is the GCD of 12 and 18?

6

5

4

7

6

Number theory and modular arithmetic

3,770

logic

easy

True or False: 5 > 3 AND 2 < 4

True

Depends on context

Cannot determine

False

Logical reasoning and boolean operations

3,019

probability

easy

What is the probability of getting heads on a fair coin flip?

1/2

1/3

2/3

1/4

1/2

Probability calculation and expected value

1,777

fractions

easy

What is 1/4 + 1/6?

5/12

4/12

6/12

5/13

Fraction arithmetic and simplification

405

arithmetic

hard

Calculate (6^4 × 4) ÷ 4

1296

1291

1304

1296

1299

Standard arithmetic calculation

3,323

probability

hard

Expected value of rolling a fair six-sided die

3.5

4

4.5

3

Probability calculation and expected value

1,698

fractions

easy

Simplify 40/40

1/1

39/39

41/41

1/1

20/20

Fraction arithmetic and simplification

184

arithmetic

medium

What is 11²?

121

111

129

121

136

Standard arithmetic calculation

1,314

statistics

easy

Find the median of 13 8 2 20

10.5

8.5

12.5

11.5

10.5

Statistical measure calculation

3,344

number_theory

easy

Is 19 a prime number?

Yes

Cannot determine

No

Only if x>0

Yes

Number theory and modular arithmetic

3,441

number_theory

easy

Is 23 a prime number?

Yes

Cannot determine

Only if x>0

No

Yes

Number theory and modular arithmetic

1,382

statistics

easy

What is the mean of 13 17 14 17 8 10 17?

13.7

15.7

13.7

11.7

14.7

Statistical measure calculation

2,183

calculus

easy

What is the derivative of x²?

2x

x²

x

2x²

Calculus differentiation and integration

2,009

fractions

hard

Simplify (2/3 + 1/6) × 3/5

1/2

1/3

1/2

0/2

2/2

Fraction arithmetic and simplification

4,864

combinatorics

hard

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

48

60

24

120

48

Permutations and combinations

3,821

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

3,096

probability

medium

Probability of rolling two sixes with two dice

1/36

1/32

1/30

1/36

1/35

Probability calculation and expected value

3,644

number_theory

hard

What is 7³ mod 11?

2

1

2

4

3

Number theory and modular arithmetic

3,174

probability

medium

Probability of drawing an ace from a standard deck

1/13

1/14

1/15

1/12

1/13

Probability calculation and expected value

4,165

logic

hard

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

True

False

True

Depends on other variables

Cannot determine

Logical reasoning and boolean operations

1,646

statistics

hard

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

2.24

2.94

1.74

2.54

2.24

Statistical measure calculation

3,829

logic

easy

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

mammal

cat

mammal

pet

animal

Logical reasoning and boolean operations

83

arithmetic

easy

Find 11 × 11

121

118

123

126

121

Standard arithmetic calculation

2,021

fractions

hard

Simplify (2/3 + 1/6) × 3/5

1/2

0/2

1/3

2/2

1/2

Fraction arithmetic and simplification

4,997

combinatorics

hard

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

48

120

48

24

60

Permutations and combinations

768

algebra

hard

Solve: x² + -8x + 12 = 0

x = 2 or x = 6

x = 1 or x = 7

x = 2 or x = 6

x = -2 or x = -6

x = 3 or x = 5

Algebraic manipulation and solving

362

arithmetic

hard

Calculate (5^3 × 3) ÷ 3

125

133

120

125

128

Standard arithmetic calculation

3,859

logic

easy

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

mammal

pet

mammal

cat

animal

Logical reasoning and boolean operations

4,493

linear_algebra

hard

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

5

6

4

3

5

Vector operations and matrix calculations

4,806

combinatorics

medium

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

60

75

125

60

50

Permutations and combinations

2,616

trigonometry

easy

What is sin(90°)?

1

-1

0

1/2

1

Trigonometric functions and identities

3,144

probability

medium

Probability of drawing an ace from a standard deck

1/13

1/12

1/15

1/14

1/13

Probability calculation and expected value

4,941

combinatorics

hard

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

48

60

120

48

24

Permutations and combinations

4,261

linear_algebra

easy

Calculate 5 × [2, 3]

[10, 15]

[9, 15]

[11, 15]

[10, 14]

[10, 15]

Vector operations and matrix calculations

3,783

logic

easy

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

mammal

animal

mammal

cat

pet

Logical reasoning and boolean operations