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 |
|---|---|---|---|---|---|---|---|---|---|
302 | arithmetic | hard | Calculate (5^3 × 4) ÷ 8 | 62 | 57 | 65 | 70 | 62 | Standard arithmetic calculation |
1,488 | statistics | medium | What is the mode of 6 6 6 7 19 10 10? | 6 | 9 | 7 | 4 | 6 | Statistical measure calculation |
2,367 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | cos(2x) | 2x cos(x²) | 2x sin(x²) | cos(x²) | Calculus differentiation and integration |
3,334 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4.5 | 3 | 3.5 | 4 | Probability calculation and expected value |
239 | arithmetic | medium | What is 15²? | 225 | 240 | 225 | 215 | 233 | Standard arithmetic calculation |
1,790 | fractions | easy | Simplify 10/18 | 5/9 | 5/9 | 9/17 | 11/19 | 5/9 | Fraction arithmetic and simplification |
3,017 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/2 | 1/3 | 2/3 | 1/4 | Probability calculation and expected value |
2,509 | trigonometry | easy | Calculate tan(0°) | 0 | 1 | undefined | -1 | 0 | Trigonometric functions and identities |
1,600 | 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 |
864 | geometry | easy | How many sides does a hexagon have? | 6 | 7 | 8 | 5 | 6 | Geometric calculation and spatial reasoning |
1,670 | fractions | easy | What is 1/4 + 1/3? | 7/12 | 7/13 | 7/12 | 6/12 | 8/12 | Fraction arithmetic and simplification |
1,828 | fractions | medium | Divide 5/6 ÷ 5/7 | 7/6 | 7/6 | 7/7 | 8/6 | 6/7 | Fraction arithmetic and simplification |
3,243 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4.5 | 3 | 3.5 | 4 | Probability calculation and expected value |
118 | arithmetic | easy | Find 6 × 12 | 72 | 72 | 69 | 74 | 77 | Standard arithmetic calculation |
375 | arithmetic | hard | Calculate (6^3 × 4) ÷ 5 | 172 | 175 | 180 | 167 | 172 | Standard arithmetic calculation |
986 | geometry | medium | What is the volume of a cube with side length 4? | 64 | 64 | 79 | 99 | 44 | Geometric calculation and spatial reasoning |
861 | geometry | easy | What is the area of a rectangle with length 8 and width 3? | 24 | 19 | 27 | 24 | 32 | Geometric calculation and spatial reasoning |
146 | arithmetic | medium | What is 13²? | 169 | 159 | 169 | 184 | 177 | Standard arithmetic calculation |
1,884 | fractions | medium | Calculate 5/3 × 1 | 5/3 | 5/3 | 5/4 | 3/5 | 6/3 | Fraction arithmetic and simplification |
3,368 | number_theory | easy | What is the GCD of 15 and 25? | 5 | 4 | 5 | 3 | 6 | Number theory and modular arithmetic |
613 | algebra | medium | Solve: 2x - 6 = 25 | 15 | 15 | 16 | 18 | 13 | Algebraic manipulation and solving |
3,584 | number_theory | medium | Find LCM of 15 and 20 | 60 | 65 | 60 | 50 | 75 | Number theory and modular arithmetic |
408 | arithmetic | hard | Calculate (3^4 × 4) ÷ 7 | 46 | 54 | 46 | 49 | 41 | Standard arithmetic calculation |
2,488 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | cos(2x) | cos(x²) | 2x cos(x²) | Calculus differentiation and integration |
3,106 | 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 |
3,827 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | mammal | pet | animal | cat | Logical reasoning and boolean operations |
2,635 | trigonometry | easy | Calculate tan(0°) | 0 | -1 | 0 | 1 | undefined | Trigonometric functions and identities |
2,581 | trigonometry | easy | Find cos(0°) | 1 | 1 | 0 | 1/2 | -1 | Trigonometric functions and identities |
4,426 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 8 | 9 | 11 | Vector operations and matrix calculations |
1,005 | geometry | medium | Find the area of a circle with radius 7 (use π ≈ 3.14) | 153.94 | 153.94 | 157.14 | 151.44 | 155.74 | Geometric calculation and spatial reasoning |
2,446 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x cos(x²) | cos(2x) | cos(x²) | 2x sin(x²) | Calculus differentiation and integration |
4,844 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 125 | 60 | 50 | 75 | Permutations and combinations |
169 | arithmetic | medium | What is 12²? | 144 | 144 | 159 | 134 | 152 | Standard arithmetic calculation |
2,336 | calculus | medium | What is d/dx(3x^4 - 8x + 1)? | 12x^3 - 8 | 12x^3 - 8 | 12x^3 - 1 | 12x^4 - 8 | 3x^3 - 8 | Calculus differentiation and integration |
1,054 | geometry | medium | What is the volume of a cube with side length 5? | 125 | 160 | 105 | 140 | 125 | Geometric calculation and spatial reasoning |
738 | algebra | hard | Solve: x² + -10x + 16 = 0 | x = 8 or x = 2 | x = 7 or x = 3 | x = 8 or x = 2 | x = -8 or x = -2 | x = 9 or x = 1 | Algebraic manipulation and solving |
1,735 | fractions | easy | Simplify 15/25 | 3/5 | 16/26 | 7/12 | 14/24 | 3/5 | Fraction arithmetic and simplification |
4,497 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 4 | 3 | 5 | Vector operations and matrix calculations |
1,359 | statistics | easy | Find the median of 18 2 2 7 | 4.5 | 4.5 | 5.5 | 2.5 | 6.5 | Statistical measure calculation |
1,444 | statistics | medium | What is the mode of 2 19 9 9 8 9 18? | 9 | 7 | 12 | 9 | 10 | Statistical measure calculation |
4,826 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 60 | 125 | 50 | 75 | Permutations and combinations |
4,746 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 50 | 75 | 60 | 125 | Permutations and combinations |
3,961 | logic | medium | What is NOT(True AND False)? | True | Depends on values | Cannot determine | False | True | Logical reasoning and boolean operations |
2,917 | 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 |
1,339 | statistics | easy | What is the mean of 3 10 2 20? | 8.8 | 9.8 | 8.8 | 10.8 | 6.800000000000001 | Statistical measure calculation |
2,054 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 1/2 | 2/2 | 1/3 | Fraction arithmetic and simplification |
4,348 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 10 | 9 | 11 | Vector operations and matrix calculations |
4,504 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 5 | 4 | 6 | Vector operations and matrix calculations |
1,391 | statistics | medium | Calculate the range of 16 19 6 3 14 18 | 16 | 19 | 17 | 14 | 16 | Statistical measure calculation |
297 | arithmetic | hard | Calculate (3^4 × 2) ÷ 6 | 27 | 30 | 27 | 22 | 35 | Standard arithmetic calculation |
3,297 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 4.5 | 4 | 3 | Probability calculation and expected value |
2,003 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/3 | 1/2 | 2/2 | 0/2 | Fraction arithmetic and simplification |
3,992 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | P is false | Cannot determine | Q is true | Q is false | Logical reasoning and boolean operations |
2,886 | 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 |
508 | algebra | easy | What is 5x when x = 6? | 30 | 32 | 30 | 35 | 27 | Algebraic manipulation and solving |
2,846 | 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 |
3,528 | number_theory | medium | How many factors does 30 have? | 8 | 8 | 6 | 9 | 7 | Number theory and modular arithmetic |
2,459 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | cos(2x) | 2x sin(x²) | 2x cos(x²) | cos(x²) | Calculus differentiation and integration |
2,471 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | cos(2x) | 2x cos(x²) | 2x sin(x²) | cos(x²) | Calculus differentiation and integration |
952 | geometry | easy | How many sides does a octagon have? | 8 | 10 | 7 | 8 | 9 | Geometric calculation and spatial reasoning |
3,725 | number_theory | hard | What is 7³ mod 11? | 2 | 1 | 3 | 2 | 4 | Number theory and modular arithmetic |
4,979 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 120 | 24 | 60 | 48 | Permutations and combinations |
3,288 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 3.5 | 4 | 4.5 | Probability calculation and expected value |
3,507 | number_theory | medium | How many factors does 24 have? | 8 | 6 | 8 | 9 | 7 | Number theory and modular arithmetic |
2,344 | calculus | medium | What is d/dx(2x^4 - 6x + 1)? | 8x^3 - 6 | 2x^3 - 6 | 8x^4 - 6 | 8x^3 - 6 | 8x^3 - 1 | Calculus differentiation and integration |
4,302 | linear_algebra | easy | Calculate 3 × [2, 3] | [6, 9] | [6, 8] | [6, 9] | [7, 9] | [5, 9] | Vector operations and matrix calculations |
2,466 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x cos(x²) | cos(2x) | cos(x²) | 2x sin(x²) | Calculus differentiation and integration |
3,451 | number_theory | easy | Is 29 a prime number? | Yes | Cannot determine | Only if x>0 | Yes | No | Number theory and modular arithmetic |
2,881 | 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 |
1,142 | geometry | hard | Find the hypotenuse of a right triangle with legs 5 and 12 | 13 | 13 | 11 | 12 | 14 | Geometric calculation and spatial reasoning |
4,500 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 5 | 6 | 4 | Vector operations and matrix calculations |
3,661 | number_theory | hard | What is 7³ mod 11? | 2 | 1 | 3 | 2 | 4 | Number theory and modular arithmetic |
4,759 | 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 |
4,244 | linear_algebra | easy | Calculate 5 × [2, 3] | [10, 15] | [11, 15] | [10, 15] | [9, 15] | [10, 14] | Vector operations and matrix calculations |
420 | algebra | easy | What is 8x when x = 6? | 48 | 48 | 53 | 45 | 50 | Algebraic manipulation and solving |
28 | arithmetic | easy | Calculate 66 - 38 | 28 | 30 | 29 | 27 | 28 | Standard arithmetic calculation |
1,141 | geometry | hard | Find the hypotenuse of a right triangle with legs 5 and 12 | 13 | 14 | 11 | 13 | 12 | Geometric calculation and spatial reasoning |
593 | algebra | medium | Solve: 4x - 5 = 10 | 3 | 3 | 6 | 4 | 1 | Algebraic manipulation and solving |
2,860 | 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 |
2,187 | calculus | easy | Find d/dx(x^5) | 5x^4 | 5x^5 | x^5 | 5x^4 | x^4 | Calculus differentiation and integration |
3,836 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | pet | cat | animal | mammal | Logical reasoning and boolean operations |
2,626 | trigonometry | easy | What is sin(30°)? | 0.5 | 0 | 0.5 | 1 | -1 | Trigonometric functions and identities |
4,799 | 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 |
113 | arithmetic | easy | What is 79 + 25? | 104 | 104 | 105 | 102 | 107 | Standard arithmetic calculation |
4,079 | 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 |
3,360 | number_theory | easy | What is the GCD of 15 and 25? | 5 | 6 | 3 | 4 | 5 | Number theory and modular arithmetic |
1,357 | statistics | easy | What is the mean of 17 20 6 19 7? | 13.8 | 13.8 | 15.8 | 14.8 | 11.8 | Statistical measure calculation |
682 | algebra | medium | Solve: 5x - 11 = 15 | 5 | 8 | 3 | 6 | 5 | Algebraic manipulation and solving |
2,189 | calculus | easy | What is the derivative of x²? | 2x | x | 2x | x² | 2x² | Calculus differentiation and integration |
2,378 | 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 |
2,852 | 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 |
4,444 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 9 | 8 | 11 | Vector operations and matrix calculations |
4,944 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 60 | 48 | 120 | 24 | Permutations and combinations |
1,612 | 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 |
13 | arithmetic | easy | Calculate 39 - 37 | 2 | 4 | 3 | 1 | 2 | Standard arithmetic calculation |
2,330 | calculus | medium | What is d/dx(5x^2 - 6x + 1)? | 10x^1 - 6 | 10x^1 - 1 | 5x^1 - 6 | 10x^2 - 6 | 10x^1 - 6 | Calculus differentiation and integration |
1,911 | fractions | medium | Divide 2/7 ÷ 4/7 | 1/2 | 2/1 | 2/2 | 1/2 | 1/3 | Fraction arithmetic and simplification |
4,882 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 60 | 48 | 24 | 120 | Permutations and combinations |
3,267 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 3 | 4 | 4.5 | Probability calculation and expected value |
3,015 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 2/3 | 1/4 | 1/2 | 1/3 | Probability calculation and expected value |
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