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 |
|---|---|---|---|---|---|---|---|---|---|
785 | algebra | hard | Solve: x² + -10x + 21 = 0 | x = 7 or x = 3 | x = 6 or x = 4 | x = 7 or x = 3 | x = -7 or x = -3 | x = 8 or x = 2 | Algebraic manipulation and solving |
2,692 | trigonometry | medium | What is tan(45°)? | 1 | √2 | 1 | 0 | √3 | Trigonometric functions and identities |
1,753 | fractions | easy | Simplify 48/54 | 8/9 | 24/27 | 47/53 | 8/9 | 49/55 | Fraction arithmetic and simplification |
3,213 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4 | 3.5 | 4.5 | 3 | Probability calculation and expected value |
3,199 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3.5 | 3 | 4.5 | 4 | Probability calculation and expected value |
2,697 | trigonometry | medium | What is tan(45°)? | 1 | 1 | 0 | √3 | √2 | Trigonometric functions and identities |
2,479 | 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 |
195 | arithmetic | medium | What is 10²? | 100 | 100 | 115 | 108 | 90 | Standard arithmetic calculation |
2,710 | trigonometry | medium | What is tan(45°)? | 1 | √3 | √2 | 0 | 1 | Trigonometric functions and identities |
3,198 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4 | 3.5 | 4.5 | Probability calculation and expected value |
4,027 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is true | Q is false | Cannot determine | P is false | Logical reasoning and boolean operations |
2,665 | trigonometry | medium | What is tan(45°)? | 1 | √3 | 1 | 0 | √2 | Trigonometric functions and identities |
1,360 | statistics | easy | Find the median of 6 2 9 16 9 16 13 | 9 | 7 | 9 | 10 | 11 | Statistical measure calculation |
4,680 | combinatorics | easy | How many ways can 4 people stand in a line? | 24 | 16 | 8 | 6 | 24 | Permutations and combinations |
246 | arithmetic | medium | What is 11²? | 121 | 111 | 121 | 136 | 129 | Standard arithmetic calculation |
2,124 | calculus | easy | What is the derivative of x²? | 2x | 2x² | 2x | x² | x | Calculus differentiation and integration |
2,282 | calculus | medium | What is d/dx(5x^2 - 4x + 1)? | 10x^1 - 4 | 10x^1 - 4 | 5x^1 - 4 | 10x^1 - 1 | 10x^2 - 4 | Calculus differentiation and integration |
4,156 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | Cannot determine | Depends on other variables | False | True | Logical reasoning and boolean operations |
1,949 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 1/3 | 0/2 | 1/2 | Fraction arithmetic and simplification |
3,315 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 4 | 3 | 3.5 | 4.5 | Probability calculation and expected value |
382 | arithmetic | hard | Calculate (4^3 × 2) ÷ 4 | 32 | 35 | 40 | 27 | 32 | Standard arithmetic calculation |
1,432 | statistics | medium | Calculate the range of 15 16 3 4 2 | 14 | 17 | 12 | 15 | 14 | Statistical measure calculation |
102 | arithmetic | easy | Calculate 50 - 46 | 4 | 3 | 5 | 6 | 4 | Standard arithmetic calculation |
1,724 | fractions | easy | What is 1/2 + 1/6? | 2/3 | 3/3 | 2/4 | 2/3 | 1/3 | Fraction arithmetic and simplification |
2,712 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 0 | 2 | sin(2x) | 1 | Trigonometric functions and identities |
1,989 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 1/2 | 1/3 | 2/2 | 0/2 | Fraction arithmetic and simplification |
616 | algebra | medium | Find x: x² = 25 | 5 | 3 | 6 | 5 | 8 | Algebraic manipulation and solving |
4,786 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 60 | 75 | 50 | 125 | Permutations and combinations |
2,037 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 1/3 | 1/2 | 0/2 | Fraction arithmetic and simplification |
391 | arithmetic | hard | Calculate (5^4 × 4) ÷ 7 | 357 | 365 | 360 | 357 | 352 | Standard arithmetic calculation |
267 | arithmetic | medium | What is 15% of 165? | 24 | 34 | 24 | 29 | 19 | Standard arithmetic calculation |
661 | algebra | medium | Solve: 6x - 11 = 15 | 4 | 7 | 5 | 2 | 4 | Algebraic manipulation and solving |
4,011 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is true | Cannot determine | Q is false | P is false | Logical reasoning and boolean operations |
153 | arithmetic | medium | Calculate 182 ÷ 14 | 13 | 14 | 16 | 13 | 11 | Standard arithmetic calculation |
996 | geometry | medium | What is the volume of a cube with side length 5? | 125 | 105 | 140 | 125 | 160 | Geometric calculation and spatial reasoning |
217 | arithmetic | medium | What is 15% of 341? | 51 | 61 | 51 | 56 | 46 | Standard arithmetic calculation |
1,112 | geometry | medium | Find the area of a circle with radius 4 (use π ≈ 3.14) | 50.27 | 52.07 | 47.77 | 53.47 | 50.27 | Geometric calculation and spatial reasoning |
11 | arithmetic | easy | What is 25 + 59? | 84 | 87 | 84 | 85 | 82 | Standard arithmetic calculation |
970 | geometry | easy | What is the area of a rectangle with length 9 and width 6? | 54 | 62 | 57 | 49 | 54 | Geometric calculation and spatial reasoning |
2,948 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 8 | 6 | 7 | 5 | Probability calculation and expected value |
3,517 | number_theory | medium | How many factors does 24 have? | 8 | 6 | 8 | 9 | 7 | Number theory and modular arithmetic |
451 | algebra | easy | What is 3x when x = 4? | 12 | 17 | 14 | 12 | 9 | Algebraic manipulation and solving |
3,120 | 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 |
4,339 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 10 | 11 | 8 | Vector operations and matrix calculations |
1,443 | statistics | medium | Calculate the range of 4 2 19 4 13 | 17 | 17 | 20 | 15 | 18 | Statistical measure calculation |
1,653 | 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 |
2,816 | 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 |
4,702 | combinatorics | easy | How many ways can 4 people stand in a line? | 24 | 16 | 6 | 8 | 24 | Permutations and combinations |
3,956 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is false | Cannot determine | P is false | Q is true | Logical reasoning and boolean operations |
44 | arithmetic | easy | Calculate 82 - 48 | 34 | 36 | 33 | 35 | 34 | Standard arithmetic calculation |
4,398 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 11 | 9 | 10 | 8 | Vector operations and matrix calculations |
45 | arithmetic | easy | Calculate 49 - 24 | 25 | 27 | 24 | 25 | 26 | Standard arithmetic calculation |
2,251 | calculus | medium | What is d/dx(4x^3 - 6x + 1)? | 12x^2 - 6 | 12x^3 - 6 | 12x^2 - 1 | 12x^2 - 6 | 4x^2 - 6 | Calculus differentiation and integration |
1,657 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.54 | 1.74 | 2.94 | 2.24 | Statistical measure calculation |
3,777 | 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 |
4,856 | 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 |
4,591 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 8 | 5 | 6 | 4 | Permutations and combinations |
277 | arithmetic | medium | What is 25% of 387? | 96 | 106 | 91 | 96 | 101 | Standard arithmetic calculation |
1,502 | statistics | medium | Calculate the range of 16 14 5 15 17 4 3 14 | 14 | 15 | 17 | 12 | 14 | Statistical measure calculation |
4,155 | 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 |
2,433 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | cos(2x) | 2x cos(x²) | cos(x²) | 2x sin(x²) | Calculus differentiation and integration |
2,946 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 5 | 7 | 8 | 6 | Probability calculation and expected value |
3,804 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | animal | cat | mammal | pet | Logical reasoning and boolean operations |
1,804 | fractions | easy | Simplify 12/18 | 2/3 | 13/19 | 2/3 | 11/17 | 6/9 | Fraction arithmetic and simplification |
1,523 | statistics | medium | Calculate the range of 12 2 15 19 10 20 5 20 | 18 | 16 | 18 | 21 | 19 | Statistical measure calculation |
1,065 | geometry | medium | Find the area of a circle with radius 3 (use π ≈ 3.14) | 28.27 | 28.27 | 31.47 | 30.07 | 25.77 | Geometric calculation and spatial reasoning |
230 | arithmetic | medium | Calculate 266 ÷ 14 | 19 | 20 | 17 | 19 | 22 | Standard arithmetic calculation |
3,048 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 6 | 7 | 8 | 5 | Probability calculation and expected value |
433 | algebra | easy | Solve for x: x + 15 = 27 | 12 | 15 | 10 | 13 | 12 | Algebraic manipulation and solving |
3,236 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4.5 | 4 | 3.5 | Probability calculation and expected value |
3,554 | number_theory | medium | How many factors does 36 have? | 9 | 7 | 10 | 9 | 8 | Number theory and modular arithmetic |
648 | algebra | medium | Solve: 2x - 14 = 17 | 15 | 18 | 13 | 15 | 16 | Algebraic manipulation and solving |
2,749 | trigonometry | medium | What is tan(45°)? | 1 | 0 | √2 | √3 | 1 | Trigonometric functions and identities |
748 | algebra | hard | Solve: x² + -8x + 16 = 0 | x = 4 or x = 4 | x = 3 or x = 5 | x = 4 or x = 4 | x = -4 or x = -4 | x = 5 or x = 3 | Algebraic manipulation and solving |
74 | arithmetic | easy | What is 76 + 15? | 91 | 91 | 94 | 92 | 89 | Standard arithmetic calculation |
2,776 | trigonometry | medium | What is tan(45°)? | 1 | 0 | 1 | √2 | √3 | Trigonometric functions and identities |
4,025 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is false | Cannot determine | P is false | Q is true | Logical reasoning and boolean operations |
4,481 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 4 | 3 | 5 | 6 | Vector operations and matrix calculations |
2,193 | calculus | easy | Find d/dx(x^3) | 3x^2 | 3x^2 | 3x^3 | x^2 | x^3 | Calculus differentiation and integration |
536 | algebra | easy | What is 6x when x = 9? | 54 | 51 | 54 | 59 | 56 | Algebraic manipulation and solving |
1,897 | fractions | medium | Divide 5/6 ÷ 4/3 | 5/8 | 5/8 | 6/8 | 5/9 | 8/5 | Fraction arithmetic and simplification |
2,210 | calculus | easy | Find ∫x dx | x²/2 + C | x²/2 + C | x + C | x³/3 + C | x² | Calculus differentiation and integration |
2,077 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 1/3 | 0/2 | 1/2 | Fraction arithmetic and simplification |
3,880 | logic | easy | If all cats are mammals and Fluffy is a cat, then Fluffy is a: | mammal | cat | animal | mammal | pet | Logical reasoning and boolean operations |
4 | arithmetic | easy | Calculate 59 - 15 | 44 | 46 | 44 | 43 | 45 | Standard arithmetic calculation |
692 | algebra | medium | Solve: 2x - 5 = 18 | 11 | 11 | 9 | 14 | 12 | Algebraic manipulation and solving |
649 | algebra | medium | Find x: x² = 16 | 4 | 5 | 7 | 2 | 4 | Algebraic manipulation and solving |
4,453 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 3 | 4 | 6 | 5 | Vector operations and matrix calculations |
939 | geometry | easy | How many sides does a hexagon have? | 6 | 5 | 6 | 7 | 8 | Geometric calculation and spatial reasoning |
1,618 | 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 |
4,004 | logic | medium | If P implies Q and P is true, what can we conclude about Q? | Q is true | Q is true | Cannot determine | Q is false | P is false | Logical reasoning and boolean operations |
2,883 | 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 |
1,736 | fractions | easy | What is 1/3 + 1/4? | 7/12 | 7/13 | 6/12 | 7/12 | 8/12 | Fraction arithmetic and simplification |
3,043 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 6 | 7 | 5 | 8 | Probability calculation and expected value |
1,317 | statistics | easy | Find the median of 15 18 10 7 3 18 14 20 | 14.5 | 15.5 | 14.5 | 16.5 | 12.5 | Statistical measure calculation |
3,715 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 3 | 1 | 4 | Number theory and modular arithmetic |
1,411 | statistics | medium | Calculate the range of 18 3 17 10 | 15 | 18 | 16 | 13 | 15 | Statistical measure calculation |
1,574 | 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 |
1,957 | fractions | hard | Simplify (2/3 + 1/6) × 3/5 | 1/2 | 2/2 | 1/2 | 1/3 | 0/2 | Fraction arithmetic and simplification |
371 | arithmetic | hard | Calculate (5^4 × 2) ÷ 4 | 312 | 312 | 315 | 320 | 307 | Standard arithmetic calculation |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.