A math problem generator, created for the purpose of giving self-studying students and teaching organizations the means to easily get access to random math problems to suit their needs.
To try out generators, go to https://todarith.ml/generate/
If you have an idea for a generator, please add it as an issue and tag it with the "New Generator" label.
The project can be install via pip
pip install mathgeneratorHere is an example of how you would generate an addition problem:
from mathgenerator import mathgen
#generate an addition problem
problem, solution = mathgen.addition()
#another way to generate an addition problem using genById()
problem, solution = mathgen.genById(0)| Id | Skill | Example problem | Example Solution | Function Name | |||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| [//]: # list start | |||||||||||||||||||||||||
| 0 | Addition | 20+38= | 58 | addition | |||||||||||||||||||||
| 1 | Subtraction | 2-0= | 2 | subtraction | |||||||||||||||||||||
| 2 | Multiplication | 31*1= | 31 | multiplication | |||||||||||||||||||||
| 3 | Division | 53/7= | 7.571428571428571 | division | |||||||||||||||||||||
| 4 | Binary Complement 1s | 111= | 000 | binary_complement_1s | |||||||||||||||||||||
| 5 | Modulo Division | 90%6= | 0 | modulo_division | |||||||||||||||||||||
| 6 | Square Root | sqrt(16)= | 4 | square_root | |||||||||||||||||||||
| 7 | Power Rule Differentiation | 7x^5 + 8x^10 + 4x^1 + 4x^5 + 7x^3 | 35x^4 + 80x^9 + 4x^0 + 20x^4 + 21x^2 | power_rule_differentiation | |||||||||||||||||||||
| 8 | Square | 9^2= | 81 | square | |||||||||||||||||||||
| 9 | LCM (Least Common Multiple) | LCM of 20 and 5 = | 20 | lcm | |||||||||||||||||||||
| 10 | GCD (Greatest Common Denominator) | GCD of 11 and 2 = | 1 | gcd | |||||||||||||||||||||
| 11 | Basic Algebra | 10x + 4 = 8 | 2/5 | basic_algebra | |||||||||||||||||||||
| 12 | Logarithm | log3(2187) | 7 | log | |||||||||||||||||||||
| 13 | Easy Division | 247/19 = | 13 | int_division | |||||||||||||||||||||
| 14 | Decimal to Binary | Binary of 13= | 1101 | decimal_to_binary | |||||||||||||||||||||
| 15 | Binary to Decimal | 001 | 1 | binary_to_decimal | |||||||||||||||||||||
| 16 | Fraction Division | (6/9)/(4/2) | 1/3 | divide_fractions | |||||||||||||||||||||
| 17 | Integer Multiplication with 2x2 Matrix | 11 * [[5, 2], [0, 8]] = | [[55,22],[0,88]] | multiply_int_to_22_matrix | |||||||||||||||||||||
| 18 | Area of Triangle | Area of triangle with side lengths: 10 2 11 = | 9.051933495115836 | area_of_triangle | |||||||||||||||||||||
| 19 | Triangle exists check | Does triangle with sides 35, 7 and 11 exist? | No | valid_triangle | |||||||||||||||||||||
| 20 | Midpoint of the two point | (12,-4),(-4,9)= | (4.0,2.5) | midpoint_of_two_points | |||||||||||||||||||||
| 21 | Factoring Quadratic | x^2-3x-28 | (x-7)(x+4) | factoring | |||||||||||||||||||||
| 22 | Third Angle of Triangle | Third angle of triangle with angles 50 and 19 = | 111 | third_angle_of_triangle | |||||||||||||||||||||
| 23 | Solve a System of Equations in R^2 | -6x - 4y = -2, x + 10y = 47 | x = -3, y = 5 | system_of_equations | |||||||||||||||||||||
| 24 | Distance between 2 points | Find the distance between (16, 20) and (-9, 14) | sqrt(661) | distance_two_points | |||||||||||||||||||||
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 7 and 3 = | 7.62 | pythagorean_theorem | |||||||||||||||||||||
| 26 | Linear Equations | 14x + -10y = -26, 15x + -11y = -29 | x = 1, y = 4 | linear_equations | |||||||||||||||||||||
| 27 | Prime Factorisation | Find prime factors of 29 | [29] | prime_factors | |||||||||||||||||||||
| 28 | Fraction Multiplication | (3/7)*(10/3) | 10/7 | fraction_multiplication | |||||||||||||||||||||
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 18 sides | 160.0 | angle_regular_polygon | |||||||||||||||||||||
| 30 | Combinations of Objects | Number of combinations from 12 objects picked 5 at a time | 792 | combinations | |||||||||||||||||||||
| 31 | Factorial | 2! = | 2 | factorial | |||||||||||||||||||||
| 32 | Surface Area of Cube | Surface area of cube with side = 9m is | 486 m^2 | surface_area_cube | |||||||||||||||||||||
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 19m, 9m, 6m is | 678 m^2 | surface_area_cuboid | |||||||||||||||||||||
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 39m and radius = 6m is | 1696 m^2 | surface_area_cylinder | |||||||||||||||||||||
| 35 | Volum of Cube | Volume of cube with side = 14m is | 2744 m^3 | volume_cube | |||||||||||||||||||||
| 36 | Volume of Cuboid | Volume of cuboid with sides = 4m, 19m, 20m is | 1520 m^3 | volume_cuboid | |||||||||||||||||||||
| 37 | Volume of cylinder | Volume of cylinder with height = 27m and radius = 4m is | 1357 m^3 | volume_cylinder | |||||||||||||||||||||
| 38 | Surface Area of cone | Surface area of cone with height = 47m and radius = 15m is | 3031 m^2 | surface_area_cone | |||||||||||||||||||||
| 39 | Volume of cone | Volume of cone with height = 46m and radius = 1m is | 48 m^3 | volume_cone | |||||||||||||||||||||
| 40 | Common Factors | Common Factors of 5 and 89 = | [1] | common_factors | |||||||||||||||||||||
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -10x - 3 and y = -10/5x - 4 | (1/8, -17/4) | intersection_of_two_lines | |||||||||||||||||||||
| 42 | Permutations | Number of Permutations from 17 objects picked 6 at a time = | 8910720 | permutation | |||||||||||||||||||||
| 43 | Cross Product of 2 Vectors | [14, -7, -18] X [3, -16, 12] = | [-372, -222, -203] | vector_cross | |||||||||||||||||||||
| 44 | Compare Fractions | Which symbol represents the comparison between 6/7 and 2/1? | < | compare_fractions | |||||||||||||||||||||
| 45 | Simple Interest | Simple interest for a principle amount of 1752 dollars, 10% rate of interest and for a time period of 5 years is = | 876.0 | simple_interest | |||||||||||||||||||||
| 46 | Multiplication of two matrices | Multiply
|
|
matrix_multiplication | |||||||||||||||||||||
| 47 | Cube Root | cuberoot of 212 upto 2 decimal places is: | 5.96 | cube_root | |||||||||||||||||||||
| 48 | Power Rule Integration | 4x^4 | (4/4)x^5 + c | power_rule_integration | |||||||||||||||||||||
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 81 , 131, 8 = | 140 | fourth_angle_of_quadrilateral | |||||||||||||||||||||
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 66x^2+177x+45=0 | [-0.28, -2.4] | quadratic_equation | |||||||||||||||||||||
| 51 | HCF (Highest Common Factor) | HCF of 8 and 10 = | 2 | hcf | |||||||||||||||||||||
| 52 | Probability of a certain sum appearing on faces of dice | If 2 dice are rolled at the same time, the probability of getting a sum of 7 = | 6/36 | dice_sum_probability | |||||||||||||||||||||
| 53 | Exponentiation | 16^3 = | 4096 | exponentiation | |||||||||||||||||||||
| 54 | Confidence interval For sample S | The confidence interval for sample [240, 211, 206, 296, 223, 220, 264, 251, 245, 248, 207, 215, 277, 274, 297, 243, 278, 292, 256, 233, 266, 236, 270, 227, 209, 258, 298] with 99% confidence is | (263.9293815733304, 235.32987768592884) | confidence_interval | |||||||||||||||||||||
| 55 | Comparing surds | Fill in the blanks 63^(1/2) _ 37^(1/4) | > | surds_comparison | |||||||||||||||||||||
| 56 | Fibonacci Series | The Fibonacci Series of the first 12 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89] | fibonacci_series | |||||||||||||||||||||
| 57 | Trigonometric Values | What is sin(0)? | 0 | basic_trigonometry | |||||||||||||||||||||
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 7 sides = | 900 | sum_of_polygon_angles | |||||||||||||||||||||
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[30, 21, 26, 36, 34, 7, 46, 21, 15, 29, 9, 33, 16, 28, 43] | The Mean is 26.266666666666666 , Standard Deviation is 123.39555555555556, Variance is 11.108355213781902 | data_summary | |||||||||||||||||||||
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 6m is | 452.3893421169302 m^2 | surface_area_sphere | |||||||||||||||||||||
| 61 | Volume of Sphere | Volume of sphere with radius 10 m = | 4188.790204786391 m^3 | volume_sphere | |||||||||||||||||||||
| 62 | nth Fibonacci number | What is the 41th Fibonacci number? | 165580141 | nth_fibonacci_number | |||||||||||||||||||||
| 63 | Profit or Loss Percent | Profit percent when CP = 411 and SP = 499 is: | 21.41119221411192 | profit_loss_percent | |||||||||||||||||||||
| 64 | Binary to Hexidecimal | 00010 | 0x2 | binary_to_hex | |||||||||||||||||||||
| 65 | Multiplication of 2 complex numbers | (-2-6j) * (-10+2j) = | (32+56j) | multiply_complex_numbers | |||||||||||||||||||||
| 66 | Geometric Progression | For the given GP [7, 77, 847, 9317, 102487, 1127357] ,Find the value of a,common ratio,8th term value, sum upto 7th term | The value of a is 7, common ratio is 11 , 8th term is 136410197 , sum upto 7th term is 13641019.0 | geometric_progression | |||||||||||||||||||||
| 67 | Geometric Mean of N Numbers | Geometric mean of 4 numbers 76 , 98 , 2 , 58 = | (76982*58)^(1/4) = 30.487682589384825 | geometric_mean | |||||||||||||||||||||
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 3 numbers 77 , 98 and 69 = | 3/((1/77) + (1/98) + (1/69)) = 79.60970388869067 | harmonic_mean | |||||||||||||||||||||
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[229.4364953887822, 570.6032154600009, 199.52328312454694, 658.3975413255898, 605.9566521345233, 616.6627240713517, 572.9546490919761, 508.8683987353998, 666.172347641998, 865.2735159823208, 594.8620516188639, 418.8436115273115, 69.46437421671337, 385.84806581739593] is: | 2015.3622923166513 | euclidian_norm | |||||||||||||||||||||
| 70 | Angle between 2 vectors | angle between the vectors [954.08, 488.66, 694.46, 127.67, 912.65, 462.11, 713.4, 179.41, 728.87, 811.04, 760.22, 688.68, 444.93, 237.29, 485.89, 565.71, 520.56, 44.1, 684.62, 665.12] and [736.88, 60.8, 240.61, 677.58, 887.06, 73.3, 470.5, 884.06, 453.97, 168.97, 921.73, 538.36, 967.82, 236.94, 51.62, 402.46, 57.88, 166.91, 676.47, 708.47] is: | 0.63 radians | angle_btw_vectors | |||||||||||||||||||||
| 71 | Absolute difference between two numbers | Absolute difference between numbers -87 and 69 = | 156 | absolute_difference | |||||||||||||||||||||
| 72 | Dot Product of 2 Vectors | [14, -1, 7] . [-12, 15, -9] = | -246 | vector_dot | |||||||||||||||||||||
| 73 | Binary 2's Complement | 2's complement of 11010 = | 110 | binary_2s_complement | |||||||||||||||||||||
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[17, 31, 76], [3, 65, 91], [42, 2, 28]]) is: | Matrix([[-273/10550, 179/15825, 2119/63300], [-623/10550, 679/15825, 1319/63300], [227/5275, -317/15825, -253/15825]]) | invert_matrix | |||||||||||||||||||||
| 75 | Area of a Sector | Given radius, 4 and angle, 2. Find the area of the sector. | Area of sector = 0.27925 | sector_area | |||||||||||||||||||||
| 76 | Mean and Median | Given the series of numbers [87, 97, 75, 27, 91, 31, 15, 40, 73, 74]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 61.0 and Arithmetic median of this series is 73.5 | mean_median | |||||||||||||||||||||
| 77 | Determinant to 2x2 Matrix | Det([[83, 41], [15, 13]]) = | 464 | int_matrix_22_determinant | |||||||||||||||||||||
| 78 | Compound Interest | Compound interest for a principle amount of 2702 dollars, 7% rate of interest and for a time period of 2 year is = | 3093.52 | compound_interest | |||||||||||||||||||||
| 79 | Decimal to Hexadecimal | Binary of 386= | 0x182 | decimal_to_hexadeci | |||||||||||||||||||||
| 80 | Percentage of a number | What is 64% of 8? | Required percentage = 5.12% | percentage | |||||||||||||||||||||
| 81 | Celsius To Fahrenheit | Convert 50 degrees Celsius to degrees Fahrenheit = | 122.0 | celsius_to_fahrenheit | |||||||||||||||||||||
| 82 | AP Term Calculation | Find the term number 89 of the AP series: -35, -98, -161 ... | -5579 | arithmetic_progression_term | |||||||||||||||||||||
| 83 | AP Sum Calculation | Find the sum of first 63 terms of the AP series: 7, 100, 193 ... | 182070.0 | arithmetic_progression_sum | |||||||||||||||||||||
| 84 | Converts decimal to octal | The decimal number 265 in Octal is: | 0o411 | decimal_to_octal | |||||||||||||||||||||
| 85 | Converts decimal to Roman Numerals | The number 1439 in Roman Numerals is: | MCDXXXIX | decimal_to_roman_numerals | |||||||||||||||||||||
| 86 | Degrees to Radians | Angle 68 in radians is = | 1.19 | degree_to_rad | |||||||||||||||||||||
| 87 | Radians to Degrees | Angle 3 in degrees is = | 171.89 | radian_to_deg | |||||||||||||||||||||
| 88 | Differentiation | differentiate w.r.t x : d(ln(x)+2*x^3)/dx | 6*x^2 + 1/x | differentiation | |||||||||||||||||||||
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 74x^2 + 55x + 86 is = | 138.1667 | definite_integral | |||||||||||||||||||||
| 90 | isprime | 32 | False | is_prime | |||||||||||||||||||||
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 1 is = | 5461 | bcd_to_decimal | |||||||||||||||||||||
| 92 | Complex To Polar Form | rexp(itheta) = | 27.59exp(i-2.38) | complex_to_polar | |||||||||||||||||||||
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={1, 2, 3, 5, 6, 8} ,b={1, 10, 2, 9}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 2, 3, 5, 6, 8, 9, 10},Intersection is {1, 2}, a-b is {8, 3, 5, 6},b-a is {9, 10}, Symmetric difference is {3, 5, 6, 8, 9, 10} | set_operation | |||||||||||||||||||||
| 94 | Base Conversion | Convert 131222 from base 6 to base 2. | 10111010111110 | base_conversion | |||||||||||||||||||||
| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 27 and height, 94? | CSA of cylinder = 15946.72 | curved_surface_area_cylinder | |||||||||||||||||||||
| 96 | Perimeter of Polygons | The perimeter of a 9 sided polygon with lengths of [48, 30, 110, 95, 10, 33, 87, 70, 78]cm is: | 561 | perimeter_of_polygons | |||||||||||||||||||||
| 97 | Power of Powers | The 24^1^3 = 24^(1*3) = 24^3 | 13824 | power_of_powers | |||||||||||||||||||||
| 98 | Quotient of Powers with Same Base | The Quotient of 41^2 and 41^3 = 41^(2-3) = 41^-1 | 0.024390243902439025 | quotient_of_power_same_base | |||||||||||||||||||||
| 99 | Quotient of Powers with Same Power | The Quotient of 30^5 and 35^5 = (30/35)^5 = 0.8571428571428571^5 | 0.46266436603796024 | quotient_of_power_same_power | |||||||||||||||||||||
| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation 5x^2 + 8x + 2 = 0 | simplified solution : ((-0.31, -1.29)), generalized solution : ((-8 + sqrt(24))/25, (-8 - sqrt(24))/25) | complex_quadratic |