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 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)List of Generators
| Id | Skill | Example problem | Example Solution | Function Name |
|---|---|---|---|---|
| 0 | Addition | 42+2= | 44 | addition |
| 1 | Subtraction | 32-26= | 6 | subtraction |
| 2 | Multiplication | 77*1= | 77 | multiplication |
| 3 | Division | 66/9= | 7.333333333333333 | division |
| 4 | Binary Complement 1s | 1010000 | 0101111 | binaryComplement1s |
| 5 | Modulo Division | 61%35= | 26 | moduloDivision |
| 6 | Square Root | sqrt(1)= | 1 | squareRoot |
| 7 | Power Rule Differentiation | 5x^5 | 25x^4 | powerRuleDifferentiation |
| 8 | Square | 20^2= | 400 | square |
| 9 | LCM (Least Common Multiple) | LCM of 19 and 5 = | 95 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 10 and 11 = | 1 | gcd |
| 11 | Basic Algebra | 3x + 7 = 8 | 1/3 | basicAlgebra |
| 12 | Logarithm | log2(128) | 7 | log |
| 13 | Easy Division | 306/18 = | 17 | intDivision |
| 14 | Decimal to Binary | Binary of 28= | 11100 | decimalToBinary |
| 15 | Binary to Decimal | 10001101 | 141 | binaryToDecimal |
| 16 | Fraction Division | (4/1)/(6/3) | 2 | fractionDivision |
| 17 | Integer Multiplication with 2x2 Matrix | 5 * [[10, 3], [0, 1]] = | [[50,15],[0,5]] | intMatrix22Multiplication |
| 18 | Area of Triangle | Area of triangle with side lengths: 13 2 14 = | 11.659223816361019 | areaOfTriangle |
| 19 | Triangle exists check | Does triangle with sides 3, 4 and 25 exist? | No | doesTriangleExist |
| 20 | Midpoint of the two point | (4,-11),(17,-5)= | (10.5,-8.0) | midPointOfTwoPoint |
| 21 | Factoring Quadratic | x^2-12x+35 | (x-7)(x-5) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 20 and 62 = | 98 | thirdAngleOfTriangle |
| 23 | Solve a System of Equations in R^2 | 5x - 7y = -84, 4x + 5y = 7 | x = -7, y = 7 | systemOfEquations |
| 24 | Distance between 2 points | Find the distance between (5, -18) and (1, 19) | sqrt(1385) | distance2Point |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 15 and 5 = | 15.81 | pythagoreanTheorem |
| 26 | Linear Equations | -6x + -17y = -220 | ||
| -13x + -19y = -120 | x = -20, y = 20 | linearEquations | ||
| 27 | Prime Factorisation | Find prime factors of 62 | [2, 31] | primeFactors |
| 28 | Fraction Multiplication | (8/4)*(1/2) | 1 | fractionMultiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 19 sides | 161.05 | angleRegularPolygon |
| 30 | Combinations of Objects | Number of combinations from 12 objects picked 1 at a time | 12 | combinations |
| 31 | Factorial | 0! = | 1 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 8m is | 384 m^2 | surfaceAreaCubeGen |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 18m, 17m, 1m is | 682 m^2 | surfaceAreaCuboidGen |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 31m and radius = 1m is | 201 m^2 | surfaceAreaCylinderGen |
| 35 | Volum of Cube | Volume of cube with side = 9m is | 729 m^3 | volumeCubeGen |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 20m, 1m, 10m is | 200 m^3 | volumeCuboidGen |
| 37 | Volume of cylinder | Volume of cylinder with height = 7m and radius = 7m is | 1077 m^3 | volumeCylinderGen |
| 38 | Surface Area of cone | Surface area of cone with height = 47m and radius = 13m is | 2522 m^2 | surfaceAreaConeGen |
| 39 | Volume of cone | Volume of cone with height = 4m and radius = 4m is | 67 m^3 | volumeConeGen |
| 40 | Common Factors | Common Factors of 20 and 90 = | [1, 2, 5, 10] | commonFactors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -3/6x + 1 and y = 0/2x + 6 | (-10, 6) | intersectionOfTwoLines |
| 42 | Permutations | Number of Permutations from 11 objects picked 2 at a time = | 110 | permutations |
| 43 | Cross Product of 2 Vectors | [-19, -3, 2] X [-15, -12, 7] = | [3, 103, 183] | vectorCross |
| 44 | Compare Fractions | Which symbol represents the comparison between 8/6 and 3/1? | < | compareFractions |
| 45 | Simple Interest | Simple interest for a principle amount of 9862 dollars, 4% rate of interest and for a time period of 1 years is = | 394.48 | simpleInterest |
| 46 | Multiplication of two matrices | Multiply | ||
| -50 36 7 -26 -2 63 |
88 -37 60 -19 61 -56
48 -5 69 -87 -64 -92
-84 -50 -79 -19 86 -13
0 28 12 -14 73 -49
94 -90 2 26 -38 19
2 -11 79 -77 98 -77
-87 70 72 -32 64 -99
and
34 32 -6 -32 46 -23 78 -81 -18
-17 24 49 -62 -50 77 38 -98 -64
-23 -78 43 5 -83 -5 4 -92 -16
46 -47 -92 52 -25 -37 44 51 -7
20 26 70 37 96 -73 49 84 42
-72 -15 -80 -24 58 -47 -41 45 -69 | -8245 -1057 -423 -3535 -569 2034 -6329 1219 -5765
6619 567 10737 2391 4001 -6291 10147 -7387 6383
1472 -161 13318 -5565 -12574 10381 638 -23699 2621
1593 5598 3465 7899 13170 -6487 -4857 24642 10618
3592 3027 12206 1473 2120 -412 6082 -635 4561
3748 -1803 -11460 2072 5462 -8183 2423 11 947
2400 960 22950 2483 952 -1974 4625 -5512 9372
1132 -2067 22392 1884 -12276 8196 1949 -7148 5677 | matrixMultiplication |
| 47 | Cube Root | cuberoot of 771 upto 2 decimal places is: | 9.17 | CubeRoot |
| 48 | Power Rule Integration | 1x^3 + 8x^8 + 10x^10 | (1/3)x^4 + (8/8)x^9 + (10/10)x^11 + c | powerRuleIntegration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 52 , 84, 154 = | 70 | fourthAngleOfQuadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 51x^2+152x+80=0 | [-0.68, -2.3] | quadraticEquationSolve |
| 51 | HCF (Highest Common Factor) | HCF of 11 and 7 = | 1 | 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 11 = | 2/36 | diceSumProbability |
| 53 | Exponentiation | 9^9 = | 387420489 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [291, 254, 274, 207, 253, 289, 268, 280, 225, 240, 278, 270, 247, 252, 211, 212, 295, 241, 290, 206, 222, 263, 264, 228, 229, 256, 209, 292] with 99% confidence is | (265.560249263099, 237.72546502261523) | confidenceInterval |
| 55 | Comparing surds | Fill in the blanks 16^(1/7) _ 67^(1/6) | < | surdsComparison |
| 56 | Fibonacci Series | The Fibonacci Series of the first 11 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55] | fibonacciSeries |
| 57 | Trigonometric Values | What is cos(60)? | 1/2 | basicTrigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 5 sides = | 540 | sumOfAnglesOfPolygon |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[38, 29, 43, 25, 7, 10, 13, 14, 43, 44, 30, 42, 48, 48, 42] | The Mean is 31.733333333333334 , Standard Deviation is 199.26222222222222, Variance is 14.116027140177303 | 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 84 m = | 2482712.7095377133 m^3 | volumeSphere |