mathgenerator/README.md

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 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.

Usage

The project can be install via pip

pip install mathgenerator

Here 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)

List of Generators

Id	Skill	Example problem	Example Solution	Function Name

| 0 | Addition | 5+49= | 54 | addition | | 1 | Subtraction | 63-53= | 10 | subtraction | | 2 | Multiplication | 212= | 42 | multiplication | | 3 | Division | 87/60= | 1.45 | division | | 4 | Binary Complement 1s | 11011111= | 00100000 | binaryComplement1s | | 5 | Modulo Division | 10%10= | 0 | moduloDivision | | 6 | Square Root | sqrt(16)= | 4 | squareRoot | | 7 | Power Rule Differentiation | 9x^6 + 8x^6 + 5x^9 + 1x^6 + 10x^1 | 54x^5 + 48x^5 + 45x^8 + 6x^5 + 10x^0 | powerRuleDifferentiation | | 8 | Square | 6^2= | 36 | square | | 9 | LCM (Least Common Multiple) | LCM of 9 and 6 = | 18 | lcm | | 10 | GCD (Greatest Common Denominator) | GCD of 3 and 15 = | 3 | gcd | | 11 | Basic Algebra | 2x + 2 = 9 | 7/2 | basicAlgebra | | 12 | Logarithm | log2(4) | 2 | log | | 13 | Easy Division | 180/15 = | 12 | intDivision | | 14 | Decimal to Binary | Binary of 53= | 110101 | decimalToBinary | | 15 | Binary to Decimal | 1000110111 | 567 | binaryToDecimal | | 16 | Fraction Division | (10/4)/(1/10) | 25 | fractionDivision | | 17 | Integer Multiplication with 2x2 Matrix | 1 * 0, 4], [6, 2 = | 0,4],[6,2 | intMatrix22Multiplication | | 18 | Area of Triangle | Area of triangle with side lengths: 8 3 19 = | (4.3470649019239876e-15+70.9929573971954j) | areaOfTriangle | | 19 | Triangle exists check | Does triangle with sides 8, 12 and 39 exist? | No | doesTriangleExist | | 20 | Midpoint of the two point | (-17,-16),(-6,9)= | (-11.5,-3.5) | midPointOfTwoPoint | | 21 | Factoring Quadratic | x^2-15x+56 | (x-8)(x-7) | factoring | | 22 | Third Angle of Triangle | Third angle of triangle with angles 17 and 81 = | 82 | thirdAngleOfTriangle | | 23 | Solve a System of Equations in R^2 | -7x - 5y = 22, 5x - 4y = 7 | x = -1, y = -3 | systemOfEquations | | 24 | Distance between 2 points | Find the distance between (-4, -13) and (15, 10) | sqrt(890) | distance2Point | | 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 11 and 2 = | 11.18 | pythagoreanTheorem | | 26 | Linear Equations | -9x + 15y = 171 -9x + 9y = 135 | x = -9, y = 6 | linearEquations | | 27 | Prime Factorisation | Find prime factors of 61 | [61] | primeFactors | | 28 | Fraction Multiplication | (8/7)(9/10) | 36/35 | fractionMultiplication | | 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 20 sides | 162.0 | angleRegularPolygon | | 30 | Combinations of Objects | Number of combinations from 13 objects picked 8 at a time | 1287 | combinations | | 31 | Factorial | 6! = | 720 | factorial | | 32 | Surface Area of Cube | Surface area of cube with side = 17m is | 1734 m^2 | surfaceAreaCubeGen | | 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 3m, 18m, 1m is | 150 m^2 | surfaceAreaCuboidGen | | 34 | Surface Area of Cylinder | Surface area of cylinder with height = 20m and radius = 15m is | 3298 m^2 | surfaceAreaCylinderGen | | 35 | Volum of Cube | Volume of cube with side = 7m is | 343 m^3 | volumeCubeGen | | 36 | Volume of Cuboid | Volume of cuboid with sides = 16m, 5m, 11m is | 880 m^3 | volumeCuboidGen | | 37 | Volume of cylinder | Volume of cylinder with height = 28m and radius = 12m is | 12666 m^3 | volumeCylinderGen | | 38 | Surface Area of cone | Surface area of cone with height = 29m and radius = 1m is | 94 m^2 | surfaceAreaConeGen | | 39 | Volume of cone | Volume of cone with height = 2m and radius = 15m is | 471 m^3 | volumeConeGen | | 40 | Common Factors | Common Factors of 52 and 53 = | [1] | commonFactors | | 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -8/4x + 3 and y = -6x - 4 | (-7/4, 13/2) | intersectionOfTwoLines | | 42 | Permutations | Number of Permutations from 13 objects picked 1 at a time = | 13 | permutations | | 43 | Cross Product of 2 Vectors | [-6, -20, -15] X [-17, 14, 18] = | [-150, 363, -424] | vectorCross | | 44 | Compare Fractions | Which symbol represents the comparison between 7/4 and 5/6? | > | compareFractions | | 45 | Simple Interest | Simple interest for a principle amount of 4813 dollars, 2% rate of interest and for a time period of 4 years is = | 385.04 | simpleInterest | | 46 | Multiplication of two matrices | Multiply -11 -69 54 67
54 -24 52 35
9 -76 82 65
37 -40 87 -85
42 45 74 75

and

62     -96     -68      97     -88      71      69  

-38 48 -31 8 53 18 100
57 -41 54 81 -74 -80 47
-63 -10 86 -6 77 31 -12 | 797 -5140 11565 2353 -1526 -4266 -5925
5019 -8818 2890 9048 -7177 327 3350
4025 -8524 11762 6517 -5883 -5274 -3905
14128 -8189 -3888 10826 -18359 -7688 3662
387 -5656 6195 9978 -1012 197 9976 | matrixMultiplication | | 47 | Cube Root | cuberoot of 566 upto 2 decimal places is: | 8.27 | CubeRoot | | 48 | Power Rule Integration | 6x^3 + 6x^4 + 5x^2 + 10x^9 | (6/3)x^4 + (6/4)x^5 + (5/2)x^3 + (10/9)x^10 + c | powerRuleIntegration | | 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 6 , 199, 42 = | 113 | fourthAngleOfQuadrilateral | | 50 | Quadratic Equation | Zeros of the Quadratic Equation 63x^2+118x+19=0 | [-0.18, -1.7] | quadraticEquationSolve | | 51 | HCF (Highest Common Factor) | HCF of 20 and 14 = | 2 | hcf | | 52 | Probability of a certain sum appearing on faces of dice | If 3 dice are rolled at the same time, the probability of getting a sum of 5 = | 6/216 | diceSumProbability | | 53 | Exponentiation | 1^3 = | 1 | exponentiation | | 54 | Confidence interval For sample S | The confidence interval for sample [289, 284, 269, 211, 272, 298, 290, 220, 206, 224, 230, 222, 227, 209, 262, 255, 282, 253, 274, 265, 258, 248, 277, 279, 223, 221, 219, 286, 259, 297, 234, 201, 232, 203, 294, 252, 207, 278, 202] with 80% confidence is | (255.4031906501125, 242.64809140116955) | confidenceInterval | | 55 | Comparing surds | Fill in the blanks 50^(1/9) _ 61^(1/7) | < | surdsComparison | | 56 | Fibonacci Series | The Fibonacci Series of the first 1 numbers is ? | [0] | fibonacciSeries | | 57 | Trigonometric Values | What is sin(30)? | 1/2 | basicTrigonometry | | 58 | Sum of Angles of Polygon | Sum of angles of polygon with 8 sides = | 1080 | sumOfAnglesOfPolygon | | 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[11, 17, 17, 20, 25, 38, 45, 19, 38, 31, 23, 16, 42, 28, 16] | The Mean is 25.733333333333334 , Standard Deviation is 107.66222222222224, Variance is 10.376040777783318 | dataSummary | | 59 | Surface Area of Sphere | Surface area of Sphere with radius = 13m is | 2123.7166338267 m^2 | surfaceAreaSphereGen | | 60 | Volume of Sphere | Volume of sphere with radius 100 m = | 4188790.2047863905 m^3 | volumeSphere | | 61 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 6 and 66 = | 2/((1/6) + (1/66)) = 11.0 | harmonicMean |