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10 KiB
10 KiB
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 |
|---|---|---|---|---|
| [//]: # list start | ||||
| 0 | Addition | 0+0= | 0 | addition |
| 1 | Subtraction | 46-14= | 32 | subtraction |
| 2 | Multiplication | 6*12= | 72 | multiplication |
| 3 | Division | 39/11= | 3.5454545454545454 | division |
| 4 | Binary Complement 1s | 0000= | 1111 | binaryComplement1s |
| 5 | Modulo Division | 98%34= | 30 | moduloDivision |
| 6 | Square Root | sqrt(9)= | 3 | squareRoot |
| 7 | Power Rule Differentiation | 5x^5 + 2x^9 + 4x^3 + 3x^3 | 25x^4 + 18x^8 + 12x^2 + 9x^2 | powerRuleDifferentiation |
| 8 | Square | 20^2= | 400 | square |
| 9 | LCM (Least Common Multiple) | LCM of 13 and 13 = | 13 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 16 and 13 = | 1 | gcd |
| 11 | Basic Algebra | 3x + 2 = 7 | 5/3 | basicAlgebra |
| 12 | Logarithm | log3(243) | 5 | log |
| 13 | Easy Division | 154/14 = | 11 | intDivision |
| 14 | Decimal to Binary | Binary of 86= | 1010110 | decimalToBinary |
| 15 | Binary to Decimal | 10 | 2 | binaryToDecimal |
| 16 | Fraction Division | (5/1)/(3/2) | 10/3 | fractionDivision |
| 17 | Integer Multiplication with 2x2 Matrix | 4 * 2, 6], [8, 6 = | 8,24],[32,24 | intMatrix22Multiplication |
| 18 | Area of Triangle | Area of triangle with side lengths: 9 15 6 = | 0.0 | areaOfTriangle |
| 19 | Triangle exists check | Does triangle with sides 23, 8 and 32 exist? | No | doesTriangleExist |
| 20 | Midpoint of the two point | (-19,9),(-9,8)= | (-14.0,8.5) | midPointOfTwoPoint |
| 21 | Factoring Quadratic | x^2-1x-42 | (x-7)(x+6) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 41 and 80 = | 59 | thirdAngleOfTriangle |
| 23 | Solve a System of Equations in R^2 | -6x + 3y = -39, -10x + 5y = -65 | x = 6, y = -1 | systemOfEquations |
| 24 | Distance between 2 points | Find the distance between (20, 0) and (-18, 0) | sqrt(1444) | distance2Point |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 16 and 3 = | 16.28 | pythagoreanTheorem |
| 26 | Linear Equations | 8x + 11y = 91 | ||
| -10x + 17y = -83 | x = 10, y = 1 | linearEquations | ||
| 27 | Prime Factorisation | Find prime factors of 69 | [3, 23] | primeFactors |
| 28 | Fraction Multiplication | (1/2)*(2/1) | 1 | fractionMultiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 11 sides | 147.27 | angleRegularPolygon |
| 30 | Combinations of Objects | Number of combinations from 10 objects picked 1 at a time | 10 | combinations |
| 31 | Factorial | 0! = | 1 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 20m is | 2400 m^2 | surfaceAreaCubeGen |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 19m, 6m, 13m is | 878 m^2 | surfaceAreaCuboidGen |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 8m and radius = 9m is | 961 m^2 | surfaceAreaCylinderGen |
| 35 | Volum of Cube | Volume of cube with side = 20m is | 8000 m^3 | volumeCubeGen |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 15m, 7m, 5m is | 525 m^3 | volumeCuboidGen |
| 37 | Volume of cylinder | Volume of cylinder with height = 15m and radius = 15m is | 10602 m^3 | volumeCylinderGen |
| 38 | Surface Area of cone | Surface area of cone with height = 29m and radius = 15m is | 2245 m^2 | surfaceAreaConeGen |
| 39 | Volume of cone | Volume of cone with height = 5m and radius = 7m is | 256 m^3 | volumeConeGen |
| 40 | Common Factors | Common Factors of 84 and 58 = | [1, 2] | commonFactors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -6/3x and y = 3/5x - 1 | (5/13, -10/13) | intersectionOfTwoLines |
| 42 | Permutations | Number of Permutations from 11 objects picked 9 at a time = | 19958400 | permutations |
| 43 | Cross Product of 2 Vectors | [-11, -12, -17] X [-12, -20, 13] = | [-496, 347, 76] | vectorCross |
| 44 | Compare Fractions | Which symbol represents the comparison between 3/5 and 6/9? | < | compareFractions |
| 45 | Simple Interest | Simple interest for a principle amount of 6089 dollars, 3% rate of interest and for a time period of 8 years is = | 1461.36 | simpleInterest |
| 46 | Multiplication of two matrices | Multiply |
| 35 | -82 | -90 | -70 | -68 |
| 11 | 15 | -23 | 94 | -93 |
| -85 | -30 | -79 | 2 | -71 |
| 40 | -33 | -24 | 87 | 70 |
| 94 | -86 | -62 | -40 | 58 |
| -91 | -4 | -1 | 43 | -22 | -73 | -29 |
| 44 | 24 | 90 | -65 | 100 | 31 | 45 |
| 73 | -64 | 55 | -9 | -21 | 51 | 7 |
| 5 | 65 | -31 | 50 | -62 | -27 | -51 |
| 55 | -88 | -83 | -5 | -41 | -26 | 84]] | [[-17453, 5086, -4551, 4485, 48, -6029, -7477] [ -6665, 16082, 4879, 4870, -274, -1631, -12411] [ -3247, 11054, -1129, -539, 3316, 3038, -5504] [ -2559, 79, -12837, 8081, -11940, -9336, -1370] [-13874, -6176, -14818, 7900, -9264, -13118, -118]] | matrixMultiplication | | 47 | Cube Root | cuberoot of 432 upto 2 decimal places is: | 7.56 | CubeRoot | | 48 | Power Rule Integration | 2x^10 | (2/10)x^11 + c | powerRuleIntegration | | 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 29 , 153, 130 = | 48 | fourthAngleOfQuadrilateral | | 50 | Quadratic Equation | Zeros of the Quadratic Equation 85x^2+188x+3=0 | [-0.02, -2.2] | quadraticEquationSolve | | 51 | HCF (Highest Common Factor) | HCF of 5 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 5 = | 4/36 | diceSumProbability | | 53 | Exponentiation | 13^9 = | 10604499373 | exponentiation | | 54 | Confidence interval For sample S | The confidence interval for sample [232, 294, 245, 210, 221, 211, 257, 229, 258, 218, 290, 235, 203, 281, 296, 244, 243, 263, 251, 224, 276, 299, 298, 208, 285, 282, 266, 213, 270, 284, 297, 246, 230, 288, 207, 228, 279, 202, 240, 256] with 80% confidence is | (257.72581618790196, 245.224183812098) | confidenceInterval | | 55 | Comparing surds | Fill in the blanks 96^(1/7) _ 15^(1/6) | > | surdsComparison | | 56 | Fibonacci Series | The Fibonacci Series of the first 7 numbers is ? | [0, 1, 1, 2, 3, 5, 8] | fibonacciSeries | | 57 | Trigonometric Values | What is sin(0)? | 0 | basicTrigonometry | | 58 | Sum of Angles of Polygon | Sum of angles of polygon with 10 sides = | 1440 | sumOfAnglesOfPolygon | | 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[15, 24, 20, 12, 49, 43, 21, 27, 11, 44, 19, 25, 40, 40, 7] | The Mean is 26.466666666666665 , Standard Deviation is 169.98222222222222, Variance is 13.03772304592417 | dataSummary | | 60 | Surface Area of Sphere | Surface area of Sphere with radius = 2m is | 50.26548245743669 m^2 | surfaceAreaSphereGen | | 61 | Volume of Sphere | Volume of sphere with radius 15 m = | 14137.166941154068 m^3 | volumeSphere | | 62 | nth Fibonacci number | What is the 100th Fibonacci number? | 354224848179263111168 | nthFibonacciNumberGen | | 63 | Profit or Loss Percent | Loss percent when CP = 273 and SP = 196 is: | 28.205128205128204 | profitLossPercent | | 64 | Binary to Hexidecimal | 11111101 | 0xfd | binaryToHex | | 65 | Multiplication of 2 complex numbers | (4-18j) * (-7-7j) = | (-154+98j) | complexNumMultiply | | 66 | Geometric Progression | For the given GP [5, 20, 80, 320, 1280, 5120] ,Find the value of a,common ratio,7th term value, sum upto 8th term | The value of a is 5, common ratio is 4 , 7th term is 20480 , sum upto 8th term is 109225.0 | geometricprogression | | 67 | Geometric Mean of N Numbers | Geometric mean of 2 numbers 73 and 84 = | (73*84)^(1/2) = 78.30708780180757 | geometricMean | | 68 | Harmonic Mean of N Numbers | Harmonic mean of 3 numbers 48 , 90 and 92 = | 3/((1/48) + (1/90) + (1/92)) = 70.07052186177715 | harmonicMean | | 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[924.2913636750363, 20.503795974707305, 517.3232583455609, 108.40962248839648, 53.90127703299286, 439.08768846258494, 456.9202154814549, 994.1184872614399, 582.1310398602112, 900.2850171703179, 600.8210520400753, 976.4837679476245, 322.81868740893447, 200.87610464653193] is: | 2266.1247066414917 | eucldianNorm | | 70 | Angle between 2 vectors | angle between the vectors [208.76603907240408, 856.3899288947613, 504.6705923607805, 59.53820731849413, 225.96877896886213, 106.59039269390458, 954.4412959874746, 833.8565561650387] and [137.70718881439137, 398.58328047203594, 697.7790424491039, 94.83157368402372, 84.50274981272999, 643.3388926841467, 27.78410024116851, 405.7876464522183] is: | NaN | angleBtwVectors | | 71 | Absolute difference between two numbers | Absolute difference between numbers -11 and 65 = | 76 | absoluteDifference | | 72 | Dot Product of 2 Vectors | [-6, -17, -7] . [4, -14, -10] = | 284 | vectorDot | | 73 | Binary 2's Complement | 2's complement of 1 = | 1 | binary2sComplement | |