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 |
|---|---|---|---|---|---|---|---|---|---|
1,203 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 16 | 15 | 14 | 13 | Geometric calculation and spatial reasoning |
2,266 | calculus | medium | What is d/dx(3x^2 - 3x + 1)? | 6x^1 - 3 | 3x^1 - 3 | 6x^2 - 3 | 6x^1 - 3 | 6x^1 - 1 | Calculus differentiation and integration |
2,526 | trigonometry | easy | What is sin(180°)? | 0 | 1 | 0 | 0 | -1 | Trigonometric functions and identities |
3,791 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | Cannot determine | Depends on context | True | False | Logical reasoning and boolean operations |
3,973 | 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 | Q is false | Cannot determine | Logical reasoning and boolean operations |
1,526 | statistics | medium | What is the mode of 5 5 6 5 18 14 5? | 5 | 8 | 3 | 5 | 6 | Statistical measure calculation |
1,070 | geometry | medium | What is the volume of a cube with side length 8? | 512 | 527 | 512 | 492 | 547 | Geometric calculation and spatial reasoning |
3,274 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4.5 | 3.5 | 4 | Probability calculation and expected value |
1,171 | geometry | hard | Find the hypotenuse of a right triangle with legs 3 and 4 | 5 | 3 | 6 | 4 | 5 | Geometric calculation and spatial reasoning |
1,888 | fractions | medium | Divide 6/5 ÷ 3/5 | 2/1 | 2/1 | 1/2 | 2/2 | 3/1 | Fraction arithmetic and simplification |
1,929 | fractions | medium | Divide 1 ÷ 1 | 1/1 | 1/1 | 1/2 | 2/1 | 1/1 | Fraction arithmetic and simplification |
249 | arithmetic | medium | Calculate 165 ÷ 15 | 11 | 12 | 11 | 9 | 14 | Standard arithmetic calculation |
2,713 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 1 | 0 | sin(2x) | 2 | Trigonometric functions and identities |
1,937 | fractions | medium | Divide 3/7 ÷ 1 | 3/7 | 4/7 | 7/3 | 3/7 | 3/8 | Fraction arithmetic and simplification |
1,467 | statistics | medium | Calculate the range of 20 14 20 3 7 14 18 | 17 | 17 | 20 | 18 | 15 | Statistical measure calculation |
3,499 | number_theory | medium | Find LCM of 9 and 15 | 45 | 50 | 35 | 45 | 60 | Number theory and modular arithmetic |
2,207 | calculus | easy | What is the derivative of x²? | 2x | x² | 2x | 2x² | x | Calculus differentiation and integration |
4,387 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 10 | 8 | 11 | Vector operations and matrix calculations |
4,810 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 75 | 50 | 125 | 60 | Permutations and combinations |
1,134 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 13 | 16 | 14 | 15 | Geometric calculation and spatial reasoning |
1,229 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 16 | 13 | 14 | 15 | Geometric calculation and spatial reasoning |
1,143 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 13 | 14 | 16 | 15 | Geometric calculation and spatial reasoning |
3,078 | probability | medium | Probability of rolling two sixes with two dice | 1/36 | 1/36 | 1/35 | 1/32 | 1/30 | Probability calculation and expected value |
191 | arithmetic | medium | What is 12²? | 144 | 134 | 144 | 159 | 152 | Standard arithmetic calculation |
1,643 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.94 | 2.24 | 2.54 | 1.74 | Statistical measure calculation |
1,637 | 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 |
2,627 | trigonometry | easy | Calculate tan(0°) | 0 | 1 | 0 | -1 | undefined | Trigonometric functions and identities |
1,017 | geometry | medium | Find the area of a circle with radius 4 (use π ≈ 3.14) | 50.27 | 52.07 | 50.27 | 47.77 | 53.47 | Geometric calculation and spatial reasoning |
3,808 | logic | easy | True or False: 5 > 3 AND 2 < 4 | True | False | True | Depends on context | Cannot determine | Logical reasoning and boolean operations |
4,238 | linear_algebra | easy | Calculate 2 × [2, 3] | [4, 6] | [3, 6] | [4, 5] | [4, 6] | [5, 6] | Vector operations and matrix calculations |
3,567 | number_theory | medium | How many factors does 30 have? | 8 | 7 | 6 | 8 | 9 | Number theory and modular arithmetic |
2,329 | calculus | medium | What is d/dx(2x^4 - 4x + 1)? | 8x^3 - 4 | 8x^4 - 4 | 8x^3 - 1 | 2x^3 - 4 | 8x^3 - 4 | Calculus differentiation and integration |
2,585 | trigonometry | easy | What is sin(90°)? | 1 | 0 | 1 | -1 | 1/2 | Trigonometric functions and identities |
1,049 | geometry | medium | What is the volume of a cube with side length 8? | 512 | 512 | 527 | 547 | 492 | Geometric calculation and spatial reasoning |
1,080 | geometry | medium | Find the area of a circle with radius 5 (use π ≈ 3.14) | 78.54 | 81.74 | 78.54 | 80.34 | 76.04 | Geometric calculation and spatial reasoning |
4,316 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 10 | 9 | 11 | 8 | Vector operations and matrix calculations |
3,637 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 1 | 3 | 4 | Number theory and modular arithmetic |
3,572 | number_theory | medium | How many factors does 24 have? | 8 | 9 | 6 | 7 | 8 | Number theory and modular arithmetic |
4,259 | linear_algebra | easy | Calculate 3 × [2, 3] | [6, 9] | [5, 9] | [6, 8] | [6, 9] | [7, 9] | Vector operations and matrix calculations |
347 | arithmetic | hard | Calculate (5^4 × 4) ÷ 7 | 357 | 357 | 365 | 352 | 360 | Standard arithmetic calculation |
1,917 | fractions | medium | Calculate 2/3 × 1/2 | 1/3 | 3/1 | 1/3 | 2/3 | 1/4 | Fraction arithmetic and simplification |
2,576 | trigonometry | easy | Calculate tan(0°) | 0 | undefined | 0 | -1 | 1 | Trigonometric functions and identities |
3,675 | number_theory | hard | What is 7³ mod 11? | 2 | 3 | 2 | 4 | 1 | Number theory and modular arithmetic |
290 | arithmetic | hard | Calculate (5^4 × 4) ÷ 3 | 833 | 836 | 841 | 833 | 828 | Standard arithmetic calculation |
1,168 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 15 | 14 | 13 | 16 | Geometric calculation and spatial reasoning |
784 | algebra | hard | Solve: x² + -14x + 48 = 0 | x = 6 or x = 8 | x = 5 or x = 9 | x = 6 or x = 8 | x = -6 or x = -8 | x = 7 or x = 7 | Algebraic manipulation and solving |
221 | arithmetic | medium | What is 20% of 224? | 44 | 44 | 54 | 49 | 39 | Standard arithmetic calculation |
966 | geometry | easy | How many sides does a heptagon have? | 7 | 6 | 8 | 9 | 7 | Geometric calculation and spatial reasoning |
1,078 | 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 |
1,628 | 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 |
2,962 | probability | easy | How many outcomes when rolling a six-sided die? | 6 | 7 | 8 | 6 | 5 | Probability calculation and expected value |
1,590 | 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 |
715 | 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 |
4,317 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 9 | 8 | 11 | 10 | Vector operations and matrix calculations |
322 | arithmetic | hard | Calculate (6^4 × 3) ÷ 4 | 972 | 972 | 975 | 967 | 980 | Standard arithmetic calculation |
4,194 | linear_algebra | easy | Add vectors [2, 3] + [1, 4] | [3, 7] | [3, 6] | [4, 7] | [2, 7] | [3, 7] | Vector operations and matrix calculations |
640 | algebra | medium | Solve: 6x - 5 = 25 | 5 | 3 | 5 | 8 | 6 | Algebraic manipulation and solving |
207 | arithmetic | medium | What is 15% of 199? | 29 | 34 | 39 | 24 | 29 | Standard arithmetic calculation |
2,651 | trigonometry | medium | Calculate sin²(x) + cos²(x) | 1 | 1 | 0 | 2 | sin(2x) | Trigonometric functions and identities |
3,317 | probability | hard | Expected value of rolling a fair six-sided die | 3.5 | 3 | 4 | 4.5 | 3.5 | Probability calculation and expected value |
1,188 | geometry | hard | Find the hypotenuse of a right triangle with legs 9 and 12 | 15 | 14 | 15 | 16 | 13 | Geometric calculation and spatial reasoning |
3,466 | number_theory | easy | Is 23 a prime number? | Yes | Only if x>0 | Cannot determine | No | Yes | Number theory and modular arithmetic |
3,690 | number_theory | hard | What is 7³ mod 11? | 2 | 4 | 2 | 3 | 1 | Number theory and modular arithmetic |
170 | arithmetic | medium | Calculate 99 ÷ 9 | 11 | 14 | 11 | 9 | 12 | Standard arithmetic calculation |
1,355 | statistics | easy | Find the median of 11 6 14 6 | 8.5 | 6.5 | 9.5 | 8.5 | 10.5 | Statistical measure calculation |
4,458 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 6 | 5 | 3 | 4 | Vector operations and matrix calculations |
2,313 | calculus | medium | What is d/dx(3x^2 - 4x + 1)? | 6x^1 - 4 | 6x^1 - 1 | 6x^1 - 4 | 3x^1 - 4 | 6x^2 - 4 | Calculus differentiation and integration |
4,117 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | True | Cannot determine | Depends on other variables | False | Logical reasoning and boolean operations |
934 | geometry | easy | What is the area of a rectangle with length 10 and width 3? | 30 | 25 | 30 | 38 | 33 | Geometric calculation and spatial reasoning |
3,575 | number_theory | medium | How many factors does 24 have? | 8 | 8 | 6 | 9 | 7 | Number theory and modular arithmetic |
853 | geometry | easy | How many sides does a pentagon have? | 5 | 7 | 4 | 5 | 6 | Geometric calculation and spatial reasoning |
630 | algebra | medium | Solve: 5x - 5 = 11 | 3 | 3 | 4 | 1 | 6 | Algebraic manipulation and solving |
1,658 | statistics | hard | Find the standard deviation of 2 4 6 8 (population) | 2.24 | 2.54 | 2.24 | 2.94 | 1.74 | Statistical measure calculation |
2,426 | 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 |
1,692 | fractions | easy | Simplify 20/28 | 5/7 | 10/14 | 21/29 | 19/27 | 5/7 | Fraction arithmetic and simplification |
1,257 | statistics | easy | What is the mean of 12 19 10 18 18 5? | 13.7 | 13.7 | 14.7 | 11.7 | 15.7 | Statistical measure calculation |
4,524 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 4 | 3 | 6 | 5 | Vector operations and matrix calculations |
3,748 | number_theory | hard | What is 7³ mod 11? | 2 | 2 | 3 | 1 | 4 | Number theory and modular arithmetic |
4,553 | linear_algebra | hard | Find the determinant of matrix [[2, 3], [1, 4]] | 5 | 4 | 5 | 6 | 3 | Vector operations and matrix calculations |
341 | arithmetic | hard | Calculate (6^4 × 2) ÷ 8 | 324 | 327 | 319 | 332 | 324 | Standard arithmetic calculation |
3,525 | number_theory | medium | Find LCM of 12 and 16 | 48 | 63 | 38 | 53 | 48 | Number theory and modular arithmetic |
907 | geometry | easy | How many sides does a hexagon have? | 6 | 6 | 7 | 5 | 8 | Geometric calculation and spatial reasoning |
4,335 | linear_algebra | medium | What is the dot product of [3, 4] and [2, 1]? | 10 | 8 | 9 | 11 | 10 | Vector operations and matrix calculations |
3,501 | number_theory | medium | Find LCM of 15 and 20 | 60 | 50 | 65 | 75 | 60 | Number theory and modular arithmetic |
1,132 | geometry | hard | Find the hypotenuse of a right triangle with legs 5 and 12 | 13 | 11 | 14 | 13 | 12 | Geometric calculation and spatial reasoning |
1,849 | fractions | medium | Calculate 1 × 2/5 | 2/5 | 5/2 | 2/6 | 3/5 | 2/5 | Fraction arithmetic and simplification |
370 | arithmetic | hard | Calculate (6^4 × 2) ÷ 5 | 518 | 518 | 521 | 513 | 526 | Standard arithmetic calculation |
1,019 | geometry | medium | Find the area of a circle with radius 3 (use π ≈ 3.14) | 28.27 | 30.07 | 31.47 | 25.77 | 28.27 | Geometric calculation and spatial reasoning |
4,731 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 50 | 125 | 75 | 60 | Permutations and combinations |
2,478 | 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 |
1,907 | fractions | medium | Divide 2/5 ÷ 1/2 | 4/5 | 4/5 | 4/6 | 5/5 | 5/4 | Fraction arithmetic and simplification |
4,816 | combinatorics | medium | How many 3-digit numbers can be formed using digits 1,2,3,4,5 without repetition? | 60 | 125 | 75 | 60 | 50 | Permutations and combinations |
582 | algebra | medium | Find x: x² = 100 | 10 | 8 | 11 | 10 | 13 | Algebraic manipulation and solving |
1,063 | geometry | medium | Find the area of a circle with radius 8 (use π ≈ 3.14) | 201.06 | 202.86 | 204.26 | 198.56 | 201.06 | Geometric calculation and spatial reasoning |
1,416 | statistics | medium | What is the mode of 11 11 13 16 12 11 13? | 11 | 12 | 14 | 11 | 9 | Statistical measure calculation |
2,497 | calculus | hard | Find the derivative of sin(x²) | 2x cos(x²) | 2x cos(x²) | cos(x²) | cos(2x) | 2x sin(x²) | Calculus differentiation and integration |
3,939 | logic | medium | What is NOT(True AND False)? | True | False | Cannot determine | True | Depends on values | Logical reasoning and boolean operations |
4,164 | logic | hard | Evaluate: (A OR B) AND (NOT A OR C) when A=True, B=False, C=True | True | Depends on other variables | False | Cannot determine | True | Logical reasoning and boolean operations |
3,041 | probability | easy | What is the probability of getting heads on a fair coin flip? | 1/2 | 1/4 | 2/3 | 1/3 | 1/2 | Probability calculation and expected value |
4,671 | combinatorics | easy | How many ways to choose 2 items from 4 items? | 6 | 5 | 6 | 8 | 4 | Permutations and combinations |
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