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 |
|---|---|---|---|---|---|---|---|---|---|
2,659 | trigonometry | medium | What is tan(45°)? | 1 | 0 | √3 | √2 | 1 | Trigonometric functions and identities |
581 | algebra | medium | Find x: x² = 36 | 6 | 9 | 7 | 6 | 4 | Algebraic manipulation and solving |
780 | algebra | hard | Solve: x² + -7x + 10 = 0 | x = 5 or x = 2 | x = 4 or x = 3 | x = 5 or x = 2 | x = -5 or x = -2 | x = 6 or x = 1 | Algebraic manipulation and solving |
4,233 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [4, 7] | [2, 7] | [3, 7] | [3, 6] | Vector operations and matrix calculations |
4,123 | 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 | True | False | Logical reasoning and boolean operations |
2,997 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/3 | 1/4 | 1/2 | 2/3 | Probability calculation and expected value |
4,989 | combinatorics | hard | In how many ways can 5 books be arranged on a shelf if 2 specific books must be together? | 48 | 48 | 24 | 120 | 60 | Permutations and combinations |
1,029 | geometry | medium | What is the volume of a cube with side length 6? | 216 | 216 | 251 | 196 | 231 | Geometric calculation and spatial reasoning |
3,072 | 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 |
489 | algebra | easy | What is 3x when x = 9? | 27 | 32 | 27 | 24 | 29 | Algebraic manipulation and solving |
1,487 | statistics | medium | Calculate the range of 15 11 20 19 5 | 15 | 18 | 13 | 15 | 16 | Statistical measure calculation |
4,716 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 6 | 8 | 4 | 5 | Permutations and combinations |
327 | arithmetic | hard | Calculate (4^4 × 4) ÷ 3 | 341 | 336 | 349 | 341 | 344 | Standard arithmetic calculation |
3,392 | number_theory | easy | Is 31 a prime number? | Yes | Only if x>0 | No | Yes | Cannot determine | Number theory and modular arithmetic |
2,273 | calculus | medium | What is d/dx(3x^4 - 4x + 1)? | 12x^3 - 4 | 12x^4 - 4 | 12x^3 - 1 | 12x^3 - 4 | 3x^3 - 4 | Calculus differentiation and integration |
364 | arithmetic | hard | Calculate (6^4 × 4) ÷ 5 | 1036 | 1039 | 1036 | 1031 | 1044 | Standard arithmetic calculation |
1,573 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 1.74 | 2.24 | 2.94 | 2.54 | Statistical measure calculation |
4,394 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 11 | 8 | 10 | 9 | Vector operations and matrix calculations |
4,408 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 8 | 9 | 11 | Vector operations and matrix calculations |
3,192 | 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 |
2,640 | trigonometry | easy | Calculate tan(0°) | 0 | undefined | 1 | 0 | -1 | Trigonometric functions and identities |
4,729 | 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 |
4,222 | linear_algebra | easy | Calculate 3 × [2, 3] | [6, 9] | [6, 8] | [5, 9] | [6, 9] | [7, 9] | Vector operations and matrix calculations |
1,045 | geometry | medium | Find the area of a circle with radius 6 (use π ≈ 3.14) | 113.1 | 114.9 | 113.1 | 110.6 | 116.3 | Geometric calculation and spatial reasoning |
1,927 | fractions | medium | Divide 5/3 ÷ 2/5 | 25/6 | 26/6 | 25/7 | 6/25 | 25/6 | Fraction arithmetic and simplification |
4,548 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 4 | 6 | 5 | Vector operations and matrix calculations |
1,139 | geometry | hard | Find the hypotenuse of a right triangle with legs 7 and 24 | 25 | 23 | 26 | 25 | 24 | Geometric calculation and spatial reasoning |
4,626 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 4 | 5 | 6 | 8 | Permutations and combinations |
3,709 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 1 | 4 | 3 | Number theory and modular arithmetic |
2,572 | trigonometry | easy | What is sin(90°)? | 1 | 1/2 | 0 | 1 | -1 | Trigonometric functions and identities |
1,584 | 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 |
4,464 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 3 | 5 | 4 | Vector operations and matrix calculations |
644 | algebra | medium | Solve: 3x - 6 = 24 | 10 | 13 | 8 | 10 | 11 | Algebraic manipulation and solving |
4,712 | combinatorics | easy | How many ways can 6 people stand in a line? | 720 | 36 | 12 | 120 | 720 | Permutations and combinations |
265 | arithmetic | medium | Calculate 130 ÷ 13 | 10 | 11 | 10 | 8 | 13 | Standard arithmetic calculation |
2,434 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | cos(x²) | 2x cos(x²) | cos(2x) | 2x sin(x²) | Calculus differentiation and integration |
1,026 | geometry | medium | What is the volume of a cube with side length 9? | 729 | 764 | 709 | 729 | 744 | Geometric calculation and spatial reasoning |
2,226 | calculus | medium | What is d/dx(5x^3 - 2x + 1)? | 15x^2 - 2 | 15x^2 - 1 | 15x^3 - 2 | 5x^2 - 2 | 15x^2 - 2 | Calculus differentiation and integration |
4,660 | combinatorics | easy | How many ways can 5 people stand in a line? | 120 | 10 | 25 | 120 | 24 | Permutations and combinations |
4,455 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 5 | 3 | 4 | 6 | Vector operations and matrix calculations |
2,588 | trigonometry | easy | Find cos(0°) | 1 | -1 | 1 | 1/2 | 0 | Trigonometric functions and identities |
1,851 | fractions | medium | Divide 1/2 ÷ 1/3 | 3/2 | 2/3 | 4/2 | 3/2 | 3/3 | Fraction arithmetic and simplification |
2,020 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 0/2 | 1/3 | 2/2 | 1/2 | Fraction arithmetic and simplification |
1,893 | fractions | medium | Calculate 2/3 × 3/2 | 1/1 | 2/1 | 1/2 | 1/1 | 1/1 | Fraction arithmetic and simplification |
3,176 | 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 |
2,825 | 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 |
454 | algebra | easy | What is 8x when x = 7? | 56 | 56 | 61 | 53 | 58 | Algebraic manipulation and solving |
2,399 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | 2x cos(x²) | cos(2x) | cos(x²) | Calculus differentiation and integration |
487 | algebra | easy | What is 8x when x = 8? | 64 | 66 | 69 | 61 | 64 | Algebraic manipulation and solving |
2,354 | calculus | medium | What is d/dx(3x^3 - 3x + 1)? | 9x^2 - 3 | 9x^2 - 3 | 9x^3 - 3 | 3x^2 - 3 | 9x^2 - 1 | Calculus differentiation and integration |
2,395 | 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 |
2,523 | trigonometry | easy | Find cos(60°) | 1/2 | 1/2 | 1 | 0 | -1 | Trigonometric functions and identities |
3,427 | number_theory | easy | Is 13 a prime number? | Yes | Only if x>0 | Yes | No | Cannot determine | Number theory and modular arithmetic |
383 | arithmetic | hard | Calculate (6^3 × 4) ÷ 8 | 108 | 103 | 108 | 111 | 116 | Standard arithmetic calculation |
3,532 | number_theory | medium | Find LCM of 12 and 16 | 48 | 38 | 63 | 48 | 53 | Number theory and modular arithmetic |
156 | arithmetic | medium | What is 15²? | 225 | 233 | 225 | 240 | 215 | Standard arithmetic calculation |
2,867 | 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 |
4,262 | linear_algebra | easy | Calculate 4 × [2, 3] | [8, 12] | [7, 12] | [8, 11] | [9, 12] | [8, 12] | Vector operations and matrix calculations |
2,436 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | 2x cos(x²) | cos(x²) | cos(2x) | Calculus differentiation and integration |
1,077 | geometry | medium | Find the area of a circle with radius 6 (use π ≈ 3.14) | 113.1 | 110.6 | 114.9 | 116.3 | 113.1 | Geometric calculation and spatial reasoning |
2,734 | trigonometry | medium | What is tan(45°)? | 1 | √2 | √3 | 0 | 1 | Trigonometric functions and identities |
258 | arithmetic | medium | What is 15% of 123? | 18 | 18 | 28 | 13 | 23 | Standard arithmetic calculation |
2,301 | calculus | medium | What is d/dx(4x^2 - 6x + 1)? | 8x^1 - 6 | 8x^2 - 6 | 8x^1 - 1 | 4x^1 - 6 | 8x^1 - 6 | Calculus differentiation and integration |
3,265 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4.5 | 4 | 3 | 3.5 | Probability calculation and expected value |
4,550 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 6 | 5 | 4 | Vector operations and matrix calculations |
1,469 | statistics | medium | What is the mode of 9 9 14 11 3 9 9? | 9 | 10 | 9 | 12 | 7 | Statistical measure calculation |
229 | arithmetic | medium | Calculate 143 ÷ 13 | 11 | 9 | 11 | 14 | 12 | Standard arithmetic calculation |
2,508 | trigonometry | easy | Find cos(30°) | √3/2 | √3/2 | 0 | -1 | 1 | Trigonometric functions and identities |
2,582 | trigonometry | easy | Calculate tan(0°) | 0 | 1 | 0 | -1 | undefined | Trigonometric functions and identities |
478 | algebra | easy | Solve for x: x + 4 = 10 | 6 | 6 | 4 | 7 | 9 | Algebraic manipulation and solving |
2,586 | trigonometry | easy | What is sin(180°)? | 0 | 1 | -1 | 0 | 0 | Trigonometric functions and identities |
4,685 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 6 | 8 | 4 | 5 | Permutations and combinations |
4,648 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 4 | 5 | 6 | 8 | Permutations and combinations |
2,561 | trigonometry | easy | Calculate tan(0°) | 0 | undefined | -1 | 0 | 1 | Trigonometric functions and identities |
2,919 | 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 |
3,099 | probability | medium | Probability of drawing an ace from a standard deck | 1/13 | 1/14 | 1/13 | 1/15 | 1/12 | Probability calculation and expected value |
652 | algebra | medium | Find x: x² = 16 | 4 | 5 | 7 | 2 | 4 | Algebraic manipulation and solving |
2,658 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 1 | sin(2x) | 0 | 2 | Trigonometric functions and identities |
2,926 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/3 | 1/2 | 1/4 | 2/3 | Probability calculation and expected value |
66 | arithmetic | easy | Find 11 × 8 | 88 | 88 | 85 | 93 | 90 | Standard arithmetic calculation |
2,721 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 2 | 0 | 1 | sin(2x) | Trigonometric functions and identities |
3,798 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | True | Depends on context | False | Cannot determine | Logical reasoning and boolean operations |
1,663 | 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 |
1,057 | geometry | medium | Find the area of a circle with radius 3 (use π ≈ 3.14) | 28.27 | 31.47 | 25.77 | 28.27 | 30.07 | Geometric calculation and spatial reasoning |
2,717 | trigonometry | medium | What is tan(45°)? | 1 | 1 | √2 | 0 | √3 | Trigonometric functions and identities |
4,345 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 10 | 11 | 8 | Vector operations and matrix calculations |
126 | arithmetic | easy | What is 72 + 31? | 103 | 103 | 104 | 106 | 101 | Standard arithmetic calculation |
744 | algebra | hard | Solve: x² + -10x + 25 = 0 | x = 5 or x = 5 | x = 4 or x = 6 | x = 5 or x = 5 | x = -5 or x = -5 | x = 6 or x = 4 | Algebraic manipulation and solving |
3,900 | logic | medium | What is NOT(True AND False)? | True | Depends on values | True | Cannot determine | False | Logical reasoning and boolean operations |
4,097 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | False | Cannot determine | True | Depends on other variables | Logical reasoning and boolean operations |
893 | geometry | easy | What is the area of a rectangle with length 9 and width 7? | 63 | 71 | 58 | 63 | 66 | Geometric calculation and spatial reasoning |
1,138 | geometry | hard | Find the hypotenuse of a right triangle with legs 5 and 12 | 13 | 14 | 13 | 12 | 11 | Geometric calculation and spatial reasoning |
84 | arithmetic | easy | Calculate 90 - 78 | 12 | 14 | 13 | 12 | 11 | Standard arithmetic calculation |
4,395 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 11 | 8 | 10 | Vector operations and matrix calculations |
4,616 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 4 | 8 | 5 | 6 | Permutations and combinations |
2,722 | trigonometry | medium | What is tan(45°)? | 1 | √2 | √3 | 1 | 0 | Trigonometric functions and identities |
95 | arithmetic | easy | What is 29 + 66? | 95 | 95 | 98 | 93 | 96 | Standard arithmetic calculation |
2,393 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x sin(x²) | cos(2x) | 2x cos(x²) | cos(x²) | Calculus differentiation and integration |
4,865 | 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 |
3,086 | 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 |
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