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 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.