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	16+3=	19	subtraction
1	Subtraction	96-17=	79	multiplication
2	Multiplication	48*1=	48	multiplicationFunc)
3	Division	83/97=	0.8556701030927835	division
4	Binary Complement 1s	1110110111=	0001001000	binaryComplement1s
5	Modulo Division	91%53=	38	binaryComplement1sFunc)
6	Square Root	sqrt(64)=	8	moduloDivision
7	Power Rule Differentiation	6x^7	42x^6	squareRoot
8	Square	5^2=	25	powerRuleDifferentiation
9	LCM (Least Common Multiple)	LCM of 20 and 10 =	20	"(n*m)x^(m-1)",
10	GCD (Greatest Common Denominator)	GCD of 16 and 20 =	4	powerRuleDifferentiationFunc)
11	Basic Algebra	9x + 10 = 10	0	square
12	Logarithm	log3(3)	1	lcm
13	Easy Division	399/19 =	21	lcmFunc)
14	Decimal to Binary	Binary of 99=	1100011	gcd
15	Binary to Decimal	011100	28	"c", gcdFunc)
16	Fraction Division	(6/8)/(4/7)	21/16	basicAlgebra
17	Integer Multiplication with 2x2 Matrix	2 * 3, 3], [6, 3 =	6,6],[12,6	basicAlgebraFunc)
18	Area of Triangle	Area of triangle with side lengths: 11 11 17 =	59.348020186018	log
19	Triangle exists check	Does triangle with sides 23, 29 and 34 exist?	Yes	intDivision
20	Midpoint of the two point	(0,-20),(14,-16)=	(7.0,-18.0)	decimalToBinary
21	Factoring Quadratic	x^2-5x-36	(x-9)(x+4)	DecimalToBinaryFunc)
22	Third Angle of Triangle	Third angle of triangle with angles 32 and 60 =	88	binaryToDecimal
23	Solve a System of Equations in R^2	4x - 6y = 14, -7x - 2y = 88	x = -10, y = -9	BinaryToDecimalFunc)
24	Distance between 2 points	Find the distance between (14, -9) and (12, 13)	sqrt(488)	fractionDivision
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 13 and 1 =	13.04	divideFractionsFunc)
26	Linear Equations	-12x + 13y = -22
-1x + -7y = -18	x = 4, y = 2	intMatrix22Multiplication
27	Prime Factorisation	Find prime factors of 2	[2]	17, "k * a,b],[c,d
28	Fraction Multiplication	(8/6)*(4/10)	8/15	"[[ka,kb],[kc,kd]]",
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 11 sides	147.27	multiplyIntToMatrix22)
30	Combinations of Objects	Number of combinations from 15 objects picked 7 at a time	6435	areaOfTriangle
31	Factorial	3! =	6	"Area of Triangle with side lengths a, b, c
32	Surface Area of Cube	Surface area of cube with side = 14m is	1176 m^2	"area", areaOfTriangleFunc)
33	Surface Area of Cuboid	Surface area of cuboid with sides = 17m, 7m, 10m is	718 m^2	doesTriangleExist
34	Surface Area of Cylinder	Surface area of cylinder with height = 36m and radius = 7m is	1891 m^2	"Does triangle with sides a, b and c exist?",
35	Volum of Cube	Volume of cube with side = 10m is	1000 m^3	"Yes/No", isTriangleValidFunc)
36	Volume of Cuboid	Volume of cuboid with sides = 20m, 17m, 4m is	1360 m^3	midPointOfTwoPoint
37	Volume of cylinder	Volume of cylinder with height = 13m and radius = 1m is	40 m^3	"((X1,Y1),(X2,Y2))
38	Surface Area of cone	Surface area of cone with height = 17m and radius = 9m is	798 m^2	MidPointOfTwoPointFunc)
39	Volume of cone	Volume of cone with height = 15m and radius = 5m is	392 m^3	factoring
40	Common Factors	Common Factors of 69 and 51 =	[1, 3]	"(x-x1)(x-x2)", factoringFunc)
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = 6/3x + 9 and y = 6x + 2	(7/4, 25/2)	thirdAngleOfTriangle
42	Permutations	Number of Permutations from 14 objects picked 1 at a time =	14	"Third Angle of the triangle
43	Cross Product of 2 Vectors	[19, 17, -9] X [10, -10, -2] =	[-124, -52, -360]	thirdAngleOfTriangleFunc)
44	Compare Fractions	Which symbol represents the comparison between 10/6 and 10/8?	>	systemOfEquations
45	Simple Interest	Simple interest for a principle amount of 7091 dollars, 10% rate of interest and for a time period of 4 years is =	2836.4	"2x + 5y
46	Multiplication of two matrices	Multiply 2 8 -4 5 6 -5 -6 4 and -5 1 -3 2 5 8 5 -5 -6 -8 -6 -7 -1 -5 3 -7	49 73 73 -43 -23 -6 5 51	systemOfEquationsFunc)
47	Cube Root	cuberoot of 951 upto 2 decimal places is:	9.83	distance2Point
48	Power Rule Integration	10x^1 + 10x^6 + 1x^4 + 1x^6	(10/1)x^2 + (10/6)x^7 + (1/4)x^5 + (1/6)x^7 + c	"Find the distance between (x1,y1) and (x2,y2)",
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 15 , 191, 94 =	60	"sqrt(distanceSquared)", distanceTwoPointsFunc)
50	Quadratic Equation	Zeros of the Quadratic Equation 48x^2+119x+57=0	[-0.65, -1.83]	pythagoreanTheorem
51	HCF (Highest Common Factor)	HCF of 5 and 18 =	1	"Pythagorean Theorem", 25,
52	Probability of a certain sum appearing on faces of dice	If 1 dice are rolled at the same time, the probability of getting a sum of 2 =	1/6	"The hypotenuse of a right triangle given the other two lengths a and b
53	Exponentiation	17^7 =	410338673	"hypotenuse", pythagoreanTheoremFunc)
54	Confidence interval For sample S	The confidence interval for sample [247, 230, 236, 207, 226, 278, 221, 297, 280, 267, 240, 259, 291, 284, 242, 252, 257, 220, 260, 213, 294] with 90% confidence is	(262.13973862175516, 242.71740423538768)	# This has multiple variables whereas #23 has only x and y
55	Comparing surds	Fill in the blanks 17^(1/2) _ 3^(1/6)	>	linearEquations
56	Fibonacci Series	The Fibonacci Series of the first 14 numbers is ?	[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233]	"x
57	Trigonometric Values	What is sin(90)?	1	primeFactors
58	Sum of Angles of Polygon	Sum of angles of polygon with 7 sides =	900	"[b, c, d, ...]", primeFactorsFunc)
59	Mean,Standard Deviation,Variance	Find the mean,standard deviation and variance for the data[10, 47, 7, 37, 22, 44, 9, 30, 37, 8, 50, 29, 19, 12, 37]	The Mean is 26.533333333333335 , Standard Deviation is 214.38222222222217, Variance is 14.641797096744039	fractionMultiplication
60	Surface Area of Sphere	Surface area of Sphere with radius = 6m is	452.3893421169302 m^2	"(a/b)*(c/d)
61	Volume of Sphere	Volume of sphere with radius 54 m =	659583.6608064842 m^3	multiplyFractionsFunc)
62	nth Fibonacci number	What is the 5th Fibonacci number?	5	angleRegularPolygon
63	Profit or Loss Percent	Loss percent when CP = 801 and SP = 230 is:	71.28589263420724	"Angle of a Regular Polygon", 29,
64	Binary to Hexidecimal	101111	0x2f	"Find the angle of a regular polygon with 6 sides", "120",
65	Multiplication of 2 complex numbers	(1+19j) * (-5+10j) =	(-195-85j)	regularPolygonAngleFunc)
66	Geometric Progression	For the given GP [8, 88, 968, 10648, 117128, 1288408] ,Find the value of a,common ratio,11th term value, sum upto 8th term	The value of a is 8, common ratio is 11 , 11th term is 207499396808 , sum upto 8th term is 171487104.0	combinations
67	Geometric Mean of N Numbers	Geometric mean of 2 numbers 9 and 18 =	(9*18)^(1/2) = 12.727922061357855	"Combinations of Objects", 30,
68	Harmonic Mean of N Numbers	Harmonic mean of 2 numbers 59 and 8 =	2/((1/59) + (1/8)) = 14.08955223880597	"Combinations available for picking 4 objects at a time from 6 distinct objects
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[868.2223524505417, 443.64852085459694, 828.1090462421802] is:	1279.217986044348	" 15", combinationsFunc)
70	Angle between 2 vectors	angle between the vectors [47.34750277983446, 802.0548522330859, 163.10760759590525, 544.7736923139344, 595.2668887448631, 781.8577226989729, 505.92984665962115, 212.21898772758718, 417.09503653850567, 498.8451357914803, 216.11050052884383, 316.85172611004697, 531.4467890864679] and [551.4845648456056, 524.0267675199452, 252.30514761182056, 256.4954536977715, 423.09002486817883, 861.6683390714214, 210.90265341510906, 918.3205871874211, 539.9315722140092, 988.4812675617247, 885.1803007416202, 566.6430154592439, 851.2210274645834] is:	NaN	factorial
71	Absolute difference between two numbers	Absolute difference between numbers 51 and 3 =	48	surfaceAreaCubeGen
72	Dot Product of 2 Vectors	[4, 20, 12] . [15, 11, 9] =	388	"Surface area of cube with side a units is",
73	Binary 2's Complement	2's complement of 1 =	1	"b units^2", surfaceAreaCube)
74	Inverse of a Matrix	Inverse of Matrix Matrix(2, 25, 60], [29, 30, 28], [23, 73, 95) is:	Matrix(806/34457, 2005/34457, -1100/34457], [-2111/34457, -1190/34457, 1684/34457], [1427/34457, 429/34457, -665/34457)	surfaceAreaCuboidGen
75	Area of a Sector	Given radius, 28 and angle, 317. Find the area of the sector.	Area of sector = 2168.81594	"Surface Area of Cuboid", 33,
76	Mean and Median	Given the series of numbers [67, 33, 40, 90, 81, 12, 91, 80, 5, 66]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 56.5 and Arithmetic median of this series is 66.5	"Surface area of cuboid with sides
77	Determinant to 2x2 Matrix	Det(10, 0], [95, 32) =	320	"d units^2", surfaceAreaCuboid)
78	Compound Interest	Compound Interest for a principle amount of 4156 dollars, 8% rate of interest and for a time period of 7 compounded monthly is =	4156.0	surfaceAreaCylinderGen
79	Decimal to Hexadecimal	Binary of 143=	0x8f	"Surface Area of Cylinder", 34,
80	Percentage of a number	What is 49% of 13?	Required percentage = 6.37%	"Surface area of cylinder with height
81	Celsius To Fahrenheit	Convert 39 degrees Celsius to degrees Fahrenheit =	102.2	"c units^2", surfaceAreaCylinder)