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
[//]: # 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 -56 97 -66 -25 55 -99 86 2 -45 27 -87 -30 -15 93 -62 83 -25 55 -8 75 -34 -71 -22 -75 94 -6 84 -88 -38 60 98 20 -48 74 -73 -81 -25 60 -93 -23 -89 -63 90 36 30 18 19 -21 15 89 35 -60 -53 -85 22 -70 -76 -37 -98 -73 77 81 72 and -14 13 -78 96 -17 95 72 69 67 41 85 49 -64 38 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