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	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