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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
[//]: # list start
0 Addition 23+50= 73 addition
1 Subtraction 68-41= 27 subtraction
2 Multiplication 51*1= 51 multiplication
3 Division 37/44= 0.8409090909090909 division
4 Binary Complement 1s 01= 10 binaryComplement1s
5 Modulo Division 49%54= 49 moduloDivision
6 Square Root sqrt(16)= 4 squareRoot
7 Power Rule Differentiation 1x^6 + 8x^4 + 5x^5 6x^5 + 32x^3 + 25x^4 powerRuleDifferentiation
8 Square 2^2= 4 square
9 LCM (Least Common Multiple) LCM of 13 and 1 = 13 lcm
10 GCD (Greatest Common Denominator) GCD of 14 and 8 = 2 gcd
11 Basic Algebra 1x + 6 = 8 2 basicAlgebra
12 Logarithm log2(256) 8 log
13 Easy Division 96/4 = 24 intDivision
14 Decimal to Binary Binary of 12= 1100 decimalToBinary
15 Binary to Decimal 010010100 148 binaryToDecimal
16 Fraction Division (5/10)/(5/2) 1/5 fractionDivision
17 Integer Multiplication with 2x2 Matrix 1 * 2, 6], [6, 6 = 2,6],[6,6 intMatrix22Multiplication
18 Area of Triangle Area of triangle with side lengths: 15 13 20 = 97.48846085563153 areaOfTriangle
19 Triangle exists check Does triangle with sides 30, 30 and 47 exist? Yes doesTriangleExist
20 Midpoint of the two point (-8,11),(2,3)= (-3.0,7.0) midPointOfTwoPoint
21 Factoring Quadratic x^2-3x-28 (x+4)(x-7) factoring
22 Third Angle of Triangle Third angle of triangle with angles 59 and 50 = 71 thirdAngleOfTriangle
23 Solve a System of Equations in R^2 3x + 7y = -61, 6x + 7y = -52 x = 3, y = -10 systemOfEquations
24 Distance between 2 points Find the distance between (-10, -6) and (-2, 14) sqrt(464) distance2Point
25 Pythagorean Theorem The hypotenuse of a right triangle given the other two lengths 17 and 13 = 21.40 pythagoreanTheorem
26 Linear Equations -2x + 9y = 16
-15x + 3y = -267 x = 19, y = 6 linearEquations
27 Prime Factorisation Find prime factors of 94 [2, 47] primeFactors
28 Fraction Multiplication (8/10)*(10/7) 8/7 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 14 objects picked 8 at a time 3003 combinations
31 Factorial 5! = 120 factorial
32 Surface Area of Cube Surface area of cube with side = 16m is 1536 m^2 surfaceAreaCubeGen
33 Surface Area of Cuboid Surface area of cuboid with sides = 9m, 16m, 12m is 888 m^2 surfaceAreaCuboidGen
34 Surface Area of Cylinder Surface area of cylinder with height = 41m and radius = 11m is 3593 m^2 surfaceAreaCylinderGen
35 Volum of Cube Volume of cube with side = 3m is 27 m^3 volumeCubeGen
36 Volume of Cuboid Volume of cuboid with sides = 2m, 8m, 14m is 224 m^3 volumeCuboidGen
37 Volume of cylinder Volume of cylinder with height = 43m and radius = 15m is 30394 m^3 volumeCylinderGen
38 Surface Area of cone Surface area of cone with height = 49m and radius = 2m is 320 m^2 surfaceAreaConeGen
39 Volume of cone Volume of cone with height = 31m and radius = 17m is 9381 m^3 volumeConeGen
40 Common Factors Common Factors of 55 and 82 = [1] commonFactors
41 Intersection of Two Lines Find the point of intersection of the two lines: y = 0/4x + 1 and y = 3/5x - 9 (50/3, 1) intersectionOfTwoLines
42 Permutations Number of Permutations from 11 objects picked 0 at a time = 1 permutations
43 Cross Product of 2 Vectors [16, -20, -19] X [-16, -13, -11] = [-27, 480, -528] vectorCross
44 Compare Fractions Which symbol represents the comparison between 6/7 and 8/5? < compareFractions
45 Simple Interest Simple interest for a principle amount of 7762 dollars, 2% rate of interest and for a time period of 2 years is = 310.48 simpleInterest
46 Multiplication of two matrices Multiply
18-5697-66-2555-9986
2-4527-87-30-1593-62
83-2555-875-34-71-22
-7594-684-88-386098
20-4874-73-81-2560-93
-23-89-639036301819
-21158935-60-53-8522
-70-76-37-98-73778172
and
-1413
-7896
-1795
7269
6741
8549
-6438
36-44]] [[ 10147, -6357]
[-14710, -3435]
[ 5164, 3031]
[ -9570, 5773]
[-17790, -529]
[ 19309, -5824]
[ -2162, 2782]
[ -457, -17793]] matrixMultiplication
47 Cube Root cuberoot of 402 upto 2 decimal places is: 7.38 CubeRoot
48 Power Rule Integration 9x^1 (9/1)x^2 + c powerRuleIntegration
49 Fourth Angle of Quadrilateral Fourth angle of quadrilateral with angles 171 , 62, 4 = 123 fourthAngleOfQuadrilateral
50 Quadratic Equation Zeros of the Quadratic Equation 79x^2+159x+79=0 [-0.89, -1.12] quadraticEquationSolve
51 HCF (Highest Common Factor) HCF of 18 and 16 = 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 10 = 27/216 diceSumProbability
53 Exponentiation 5^9 = 1953125 exponentiation
54 Confidence interval For sample S The confidence interval for sample [259, 228, 251, 245, 222, 216, 209, 288, 229, 249, 278, 226, 256, 263, 248, 211, 210, 270, 260, 269] with 99% confidence is (257.86513442744837, 230.83486557255162) confidenceInterval
55 Comparing surds Fill in the blanks 70^(1/7) _ 61^(1/6) < surdsComparison
56 Fibonacci Series The Fibonacci Series of the first 16 numbers is ? [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610] fibonacciSeries
57 Trigonometric Values What is sin(45)? 1/√2 basicTrigonometry
58 Sum of Angles of Polygon Sum of angles of polygon with 3 sides = 180 sumOfAnglesOfPolygon
59 Mean,Standard Deviation,Variance Find the mean,standard deviation and variance for the data[48, 46, 29, 28, 17, 48, 24, 23, 5, 9, 27, 33, 46, 7, 36] The Mean is 28.4 , Standard Deviation is 201.97333333333336, Variance is 14.211732242528823 dataSummary
60 Surface Area of Sphere Surface area of Sphere with radius = 19m is 4536.459791783661 m^2 surfaceAreaSphereGen
61 Volume of Sphere Volume of sphere with radius 63 m = 1047394.4243362226 m^3 volumeSphere
62 nth Fibonacci number What is the 85th Fibonacci number? 259695496911123328 nthFibonacciNumberGen
63 Profit or Loss Percent Loss percent when CP = 937 and SP = 72 is: 92.31590181430096 profitLossPercent
64 Binary to Hexidecimal 1001111 0x4f binaryToHex
65 Multiplication of 2 complex numbers (-3+2j) * (-6+7j) = (4-33j) complexNumMultiply
66 Geometric Progression For the given GP [6, 24, 96, 384, 1536, 6144] ,Find the value of a,common ratio,9th term value, sum upto 9th term The value of a is 6, common ratio is 4 , 9th term is 393216 , sum upto 9th term is 524286.0 geometricprogression
67 Geometric Mean of N Numbers Geometric mean of 4 numbers 54 , 80 , 35 , 39 = (548035*39)^(1/4) = 49.27811645529654 geometricMean
68 Harmonic Mean of N Numbers Harmonic mean of 4 numbers 2 , 84 , 93 , 16 = 4/((1/2) + (1/84) + (1/93) + (1/16)) = 6.835767022149303 harmonicMean
69 Euclidian norm or L2 norm of a vector Euclidian norm or L2 norm of the vector[784.3594765936149, 831.2509235672187, 16.078601582030892, 985.0579481288806, 734.7344412338676, 998.0941258783216, 354.94078353536895, 413.5643355103187, 581.4239813447576, 903.949312712381, 806.494025130463] is: 2432.1700989717465 eucldianNorm
70 Angle between 2 vectors angle between the vectors [689.0197023764115, 694.8793500248185] and [927.4787145023294, 343.6872076155678] is: NaN angleBtwVectors
71 Absolute difference between two numbers Absolute difference between numbers -23 and 44 = 67 absoluteDifference
72 Dot Product of 2 Vectors [17, 9, 8] . [18, 9, 4] = 419 vectorDot
73 Binary 2's Complement 2's complement of 101 = 11 binary2sComplement
74 Inverse of a Matrix Inverse of Matrix Matrix(13, 88, 85], [65, 37, 52], [89, 45, 2) is: Matrix(-1133/167543, 3649/335086, 1431/335086], [2249/167543, -7539/335086, 4849/335086], [-184/167543, 7247/335086, -5239/335086) invertmatrix
75 Area of a Sector Given radius, 6 and angle, 328. Find the area of the sector. Area of sector = 103.04424 sectorArea
76 Mean and Median Given the series of numbers [55, 61, 83, 85, 52, 78, 30, 58, 76, 37]. find the arithmatic mean and mdian of the series Arithmetic mean of the series is 61.5 and Arithmetic median of this series is 59.5 meanMedian
Description
A math problem generator, created for the purpose of giving self-studying students and teaching organizations the means to easily get access to high-quality, generated math problems to suit their needs.
Readme MIT 2.2 MiB
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