# mathgenerator 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 If you have an idea for a generator, please add it as an issue and tag it with the "New Generator" label. ## Usage The project can be install via pip ```bash pip install mathgenerator ``` Here is an example of how you would generate an addition problem: ```python 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) ``` ## List of Generators | Id | Skill | Example problem | Example Solution | Function Name | |------|-----------------------------------|--------------------|-----------------------|--------------------------| [//]: # list start | 0 | Addition | 42+42= | 84 | addition | | 1 | Subtraction | 6-3= | 3 | subtraction | | 2 | Multiplication | 5*10= | 50 | multiplication | | 3 | Division | 48/95= | 0.5052631578947369 | division | | 4 | Binary Complement 1s | 0110000= | 1001111 | binary_complement_1s | | 5 | Modulo Division | 92%7= | 1 | modulo_division | | 6 | Square Root | sqrt(1)= | 1 | square_root | | 7 | Power Rule Differentiation | 3x^8 + 7x^6 + 3x^7 + 1x^3 | 24x^7 + 42x^5 + 21x^6 + 3x^2 | power_rule_differentiation | | 8 | Square | 19^2= | 361 | square | | 9 | LCM (Least Common Multiple) | LCM of 14 and 16 = | 112 | lcm | | 10 | GCD (Greatest Common Denominator) | GCD of 7 and 18 = | 1 | gcd | | 11 | Basic Algebra | 10x + 1 = 2 | 1/10 | basic_algebra | | 12 | Logarithm | log3(6561) | 8 | log | | 13 | Easy Division | 198/18 = | 11 | int_division | | 14 | Decimal to Binary | Binary of 17= | 10001 | decimal_to_binary | | 15 | Binary to Decimal | 100111010 | 314 | binary_to_decimal | | 16 | Fraction Division | (9/7)/(4/9) | 81/28 | divide_fractions | | 17 | Integer Multiplication with 2x2 Matrix | 15 * [[6, 6], [1, 1]] = | [[90,90],[15,15]] | multiply_int_to_22_matrix | | 18 | Area of Triangle | Area of triangle with side lengths: 18 17 13 = | 105.29957264870546 | area_of_triangle | | 19 | Triangle exists check | Does triangle with sides 12, 33 and 30 exist? | Yes | valid_triangle | | 20 | Midpoint of the two point | (-7,-12),(-1,6)= | (-4.0,-3.0) | midpoint_of_two_points | | 21 | Factoring Quadratic | x^2-9x+8 | (x-8)(x-1) | factoring | | 22 | Third Angle of Triangle | Third angle of triangle with angles 55 and 17 = | 108 | third_angle_of_triangle | | 23 | Solve a System of Equations in R^2 | 10x - 6y = 46, 9x + 5y = -21 | x = 1, y = -6 | system_of_equations | | 24 | Distance between 2 points | Find the distance between (14, 8) and (1, -11) | sqrt(530) | distance_two_points | | 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 20 and 14 = | 24.41 | pythagorean_theorem | | 26 | Linear Equations | -2x + 14y = 154 -10x + -8y = -166 | x = 7, y = 12 | linear_equations | | 27 | Prime Factorisation | Find prime factors of 189 | [3, 3, 3, 7] | prime_factors | | 28 | Fraction Multiplication | (9/4)*(5/9) | 5/4 | fraction_multiplication | | 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 14 sides | 154.29 | angle_regular_polygon | | 30 | Combinations of Objects | Number of combinations from 17 objects picked 9 at a time | 24310 | combinations | | 31 | Factorial | 2! = | 2 | factorial | | 32 | Surface Area of Cube | Surface area of cube with side = 15m is | 1350 m^2 | surface_area_cube | | 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 6m, 3m, 9m is | 198 m^2 | surface_area_cuboid | | 34 | Surface Area of Cylinder | Surface area of cylinder with height = 25m and radius = 17m is | 4486 m^2 | surface_area_cylinder | | 35 | Volum of Cube | Volume of cube with side = 6m is | 216 m^3 | volume_cube | | 36 | Volume of Cuboid | Volume of cuboid with sides = 12m, 8m, 20m is | 1920 m^3 | volume_cuboid | | 37 | Volume of cylinder | Volume of cylinder with height = 35m and radius = 13m is | 18582 m^3 | volume_cylinder | | 38 | Surface Area of cone | Surface area of cone with height = 45m and radius = 1m is | 144 m^2 | surface_area_cone | | 39 | Volume of cone | Volume of cone with height = 25m and radius = 16m is | 6702 m^3 | volume_cone | | 40 | Common Factors | Common Factors of 52 and 89 = | [1] | common_factors | | 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -3/5x + 10 and y = -3/4x - 5 | (-100, 70) | intersection_of_two_lines | | 42 | Permutations | Number of Permutations from 14 objects picked 8 at a time = | 121080960 | permutation | | 43 | Cross Product of 2 Vectors | [-16, -2, -1] X [-16, -7, 19] = | [-45, 320, 80] | vector_cross | | 44 | Compare Fractions | Which symbol represents the comparison between 9/2 and 9/10? | > | compare_fractions | | 45 | Simple Interest | Simple interest for a principle amount of 4736 dollars, 1% rate of interest and for a time period of 7 years is = | 331.52 | simple_interest | | 46 | Multiplication of two matrices | Multiply
4-2-2
46-4
-11-5
-1083
and
639-4
-4-6-30
-10-3-7-7
|
523056-2
40-124612
4062339
-122-87-13519
| matrix_multiplication | | 47 | Cube Root | cuberoot of 744 upto 2 decimal places is: | 9.06 | cube_root | | 48 | Power Rule Integration | 9x^1 | (9/1)x^2 + c | power_rule_integration | | 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 96 , 118, 81 = | 65 | fourth_angle_of_quadrilateral | | 50 | Quadratic Equation | Zeros of the Quadratic Equation 88x^2+193x+32=0 | [-0.18, -2.01] | quadratic_equation | | 51 | HCF (Highest Common Factor) | HCF of 16 and 3 = | 1 | hcf | | 52 | Probability of a certain sum appearing on faces of dice | If 1 dice are rolled at the same time, the probability of getting a sum of 5 = | 1/6 | dice_sum_probability | | 53 | Exponentiation | 6^5 = | 7776 | exponentiation | | 54 | Confidence interval For sample S | The confidence interval for sample [202, 227, 233, 291, 294, 242, 247, 283, 251, 228, 216, 240, 289, 243, 282, 238, 257, 255, 203, 276, 293, 214, 207, 210, 265, 212, 236, 297, 256, 280, 288] with 99% confidence is | (264.1616033070315, 236.1609773381298) | confidence_interval | | 55 | Comparing surds | Fill in the blanks 27^(1/4) _ 87^(1/1) | < | surds_comparison | | 56 | Fibonacci Series | The Fibonacci Series of the first 5 numbers is ? | [0, 1, 1, 2, 3] | fibonacci_series | | 57 | Trigonometric Values | What is tan(45)? | 1 | basic_trigonometry | | 58 | Sum of Angles of Polygon | Sum of angles of polygon with 5 sides = | 540 | sum_of_polygon_angles | | 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[11, 22, 9, 8, 12, 36, 39, 19, 12, 11, 49, 27, 22, 27, 26] | The Mean is 22.0 , Standard Deviation is 139.73333333333332, Variance is 11.820885471627467 | data_summary | | 60 | Surface Area of Sphere | Surface area of Sphere with radius = 20m is | 5026.548245743669 m^2 | surface_area_sphere | | 61 | Volume of Sphere | Volume of sphere with radius 69 m = | 1376055.2813841724 m^3 | volume_sphere | | 62 | nth Fibonacci number | What is the 33th Fibonacci number? | 3524578 | nth_fibonacci_number | | 63 | Profit or Loss Percent | Loss percent when CP = 883 and SP = 393 is: | 55.492638731596834 | profit_loss_percent | | 64 | Binary to Hexidecimal | 00010100 | 0x14 | binary_to_hex | | 65 | Multiplication of 2 complex numbers | (-3+0j) * 16j = | (-0-48j) | multiply_complex_numbers | | 66 | Geometric Progression | For the given GP [4, 20, 100, 500, 2500, 12500] ,Find the value of a,common ratio,6th term value, sum upto 8th term | The value of a is 4, common ratio is 5 , 6th term is 12500 , sum upto 8th term is 390624.0 | geometric_progression | | 67 | Geometric Mean of N Numbers | Geometric mean of 2 numbers 41 and 54 = | (41*54)^(1/2) = 47.05316142407437 | geometric_mean | | 68 | Harmonic Mean of N Numbers | Harmonic mean of 3 numbers 8 , 71 and 68 = | 3/((1/8) + (1/71) + (1/68)) = 19.507070707070707 | harmonic_mean | | 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[865.7151963569839, 226.4057036465874, 14.824800248170567, 706.1262882326861, 865.8569268338141, 559.1781356802616, 756.7052133079868, 164.9216239520549, 609.9900978280176, 697.4174107118105, 486.57415492429044, 993.1670184061886, 640.1534234049134, 368.9654609248786] is: | 2364.168521129801 | euclidian_norm | | 70 | Angle between 2 vectors | angle between the vectors [275.27222370228554, 360.4704403955723, 828.9475033885524, 339.2072270059939, 233.95550521713915, 887.4530688219838, 390.16238631557763, 351.47764321737054, 103.32257528086953, 867.8009318330934, 525.3164032492849] and [886.3103662444178, 562.6461993125878, 190.16362305272116, 909.6771690252709, 555.7134133875247, 553.903105904929, 828.5687817542065, 208.31947038854025, 388.8973006974784, 424.9452146134446, 460.00088587027324] is: | NaN | angle_btw_vectors | | 71 | Absolute difference between two numbers | Absolute difference between numbers 25 and -64 = | 89 | absolute_difference | | 72 | Dot Product of 2 Vectors | [-20, -4, 9] . [4, -19, -3] = | -31 | vector_dot | | 73 | Binary 2's Complement | 2's complement of 110000 = | 10000 | binary_2s_complement | | 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[43, 31, 88], [96, 41, 11], [68, 89, 13]]) is: | Matrix([[-223/235925, 7429/471850, -3267/471850], [-10/9437, -217/18874, 319/18874], [2878/235925, -1719/471850, -1213/471850]]) | invert_matrix | | 75 | Area of a Sector | Given radius, 45 and angle, 191. Find the area of the sector. | Area of sector = 3375.24861 | sector_area | | 76 | Mean and Median | Given the series of numbers [44, 90, 6, 3, 25, 67, 76, 86, 51, 69]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 51.7 and Arithmetic median of this series is 59.0 | mean_median | | 77 | Determinant to 2x2 Matrix | Det([[51, 51], [15, 83]]) = | 3468 | int_matrix_22_determinant | | 78 | Compound Interest | Compound Interest for a principle amount of 2506 dollars, 5% rate of interest and for a time period of 10 compounded monthly is = | 2506.0 | compound_interest | | 79 | Decimal to Hexadecimal | Binary of 588= | 0x24c | decimal_to_hexadeci | | 80 | Percentage of a number | What is 21% of 84? | Required percentage = 17.64% | percentage | | 81 | Celsius To Fahrenheit | Convert 62 degrees Celsius to degrees Fahrenheit = | 143.60000000000002 | celsius_to_fahrenheit | | 82 | AP Term Calculation | Find the term number 76 of the AP series: 94, 46, -2 ... | -3506 | arithmetic_progression_term | | 83 | AP Sum Calculation | Find the sum of first 20 terms of the AP series: -69, -146, -223 ... | -16010.0 | arithmetic_progression_sum | | 84 | Converts decimal to octal | The decimal number 1829 in Octal is: | 0o3445 | decimal_to_octal | | 85 | Converts decimal to Roman Numerals | The number 1938 in Roman Numerals is: | MCMXXXVIII | decimal_to_roman_numerals | | 86 | Degrees to Radians | Angle 197 in radians is = | 3.44 | degree_to_rad | | 87 | Radians to Degrees | Angle 3 in degrees is = | 171.89 | radian_to_deg |