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	39+14=	53	addition
1	Subtraction	28-20=	8	subtractionFunc
2	Multiplication	23*2=	46	multiplicationFunc
3	Division	34/27=	1.2592592592592593	divisionFunc
4	Binary Complement 1s	01101=	10010	binaryComplement1sFunc
5	Modulo Division	27%67=	27	moduloFunc
6	Square Root	sqrt(81)=	9	squareRootFunc
7	Power Rule Differentiation	7x^2 + 1x^4 + 4x^8 + 5x^10	14x^1 + 4x^3 + 32x^7 + 50x^9	powerRuleDifferentiationFunc
8	Square	2^2=	4	squareFunc
9	LCM (Least Common Multiple)	LCM of 7 and 10 =	70	lcmFunc
10	GCD (Greatest Common Denominator)	GCD of 15 and 3 =	3	gcdFunc
11	Basic Algebra	9x + 8 = 9	1/9	basicAlgebraFunc
12	Logarithm	log2(32)	5	logFunc
13	Easy Division	176/11 =	16	divisionToIntFunc
14	Decimal to Binary	Binary of 49=	110001	DecimalToBinaryFunc
15	Binary to Decimal	01100	12	BinaryToDecimalFunc
16	Fraction Division	(9/5)/(10/2)	9/25	divideFractionsFunc
17	Integer Multiplication with 2x2 Matrix	8 * 8, 9], [0, 3 =	64,72],[0,24	multiplyIntToMatrix22
18	Area of Triangle	Area of triangle with side lengths: 19 2 15 =	(1.7998558638262156e-15+29.393876913398138j)	areaOfTriangleFunc
19	Triangle exists check	Does triangle with sides 9, 12 and 5 exist?	Yes	isTriangleValidFunc
20	Midpoint of the two point	(-3,-3),(-7,-4)=	(-5.0,-3.5)	MidPointOfTwoPointFunc
21	Factoring Quadratic	x^2+4x-12	(x+6)(x-2)	factoringFunc
22	Third Angle of Triangle	Third angle of triangle with angles 4 and 27 =	149	thirdAngleOfTriangleFunc
23	Solve a System of Equations in R^2	-6x - 10y = 22, 4x - 3y = 53	x = 8, y = -7	systemOfEquationsFunc
24	Distance between 2 points	Find the distance between (6, 2) and (-2, -2)	sqrt(80)	distanceTwoPointsFunc
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 10 and 13 =	16.40	pythagoreanTheoremFunc
26	Linear Equations	8x + -8y = -40
20x + -16y = -108	x = -7, y = -2	linearEquationsFunc
27	Prime Factorisation	Find prime factors of 29	[29]	primeFactorsFunc
28	Fraction Multiplication	(4/7)*(3/9)	4/21	multiplyFractionsFunc
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 3 sides	60.0	regularPolygonAngleFunc
30	Combinations of Objects	Number of combinations from 20 objects picked 5 at a time	15504	combinationsFunc
31	Factorial	3! =	6	factorialFunc
32	Surface Area of Cube	Surface area of cube with side = 3m is	54 m^2	surfaceAreaCube
33	Surface Area of Cuboid	Surface area of cuboid with sides = 4m, 15m, 5m is	310 m^2	surfaceAreaCuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 14m and radius = 11m is	1727 m^2	surfaceAreaCylinder
35	Volum of Cube	Volume of cube with side = 6m is	216 m^3	volumeCube
36	Volume of Cuboid	Volume of cuboid with sides = 9m, 6m, 15m is	810 m^3	volumeCuboid
37	Volume of cylinder	Volume of cylinder with height = 21m and radius = 4m is	1055 m^3	volumeCylinder
38	Surface Area of cone	Surface area of cone with height = 7m and radius = 7m is	371 m^2	surfaceAreaCone
39	Volume of cone	Volume of cone with height = 46m and radius = 15m is	10838 m^3	volumeCone
40	Common Factors	Common Factors of 12 and 76 =	[1, 2, 4]	commonFactorsFunc
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = 6x + 8 and y = 3/2x + 4	(-8/9, 8/3)	intersectionOfTwoLinesFunc
42	Permutations	Number of Permutations from 15 objects picked 5 at a time =	360360	permutationFunc
43	Cross Product of 2 Vectors	[-13, -2, 0] X [-4, 14, -4] =	[8, -52, -190]	vectorCrossFunc
44	Compare Fractions	Which symbol represents the comparison between 3/8 and 3/9?	>	compareFractionsFunc
45	Simple Interest	Simple interest for a principle amount of 6266 dollars, 8% rate of interest and for a time period of 3 years is =	1503.84	simpleInterestFunc
46	Multiplication of two matrices	Multiply 3 0 -1 -6 and 4 -7 5 -9 0 8 -10 -2	12 -21 15 -27 -4 -41 55 21	matrixMultiplicationFunc
47	Cube Root	cuberoot of 362 upto 2 decimal places is:	7.13	cubeRootFunc
48	Power Rule Integration	2x^6 + 1x^5 + 7x^9 + 1x^10	(2/6)x^7 + (1/5)x^6 + (7/9)x^10 + (1/10)x^11 + c	powerRuleIntegrationFunc
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 60 , 18, 7 =	275	fourthAngleOfQuadriFunc
50	Quadratic Equation	Zeros of the Quadratic Equation 40x^2+121x+89=0	[-1.26, -1.76]	quadraticEquation
51	HCF (Highest Common Factor)	HCF of 4 and 12 =	4	hcfFunc
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 13 =	21/216	DiceSumProbFunc
53	Exponentiation	11^8 =	214358881	exponentiationFunc
54	Confidence interval For sample S	The confidence interval for sample [239, 265, 215, 283, 231, 296, 270, 260, 289, 271, 245, 251, 206, 255, 257, 247, 292, 232, 276, 297, 263, 254, 279, 253, 211, 236, 274, 209, 275, 278, 212, 214, 226, 230, 256, 249, 293] with 95% confidence is	(262.3172302973649, 245.19628321614857)	confidenceIntervalFunc
55	Comparing surds	Fill in the blanks 86^(1/4) _ 39^(1/1)	<	surdsComparisonFunc
56	Fibonacci Series	The Fibonacci Series of the first 10 numbers is ?	[0, 1, 1, 2, 3, 5, 8, 13, 21, 34]	fibonacciSeriesFunc
57	Trigonometric Values	What is sin(90)?	1	basicTrigonometryFunc
58	Sum of Angles of Polygon	Sum of angles of polygon with 5 sides =	540	sumOfAnglesOfPolygonFunc
59	Mean,Standard Deviation,Variance	Find the mean,standard deviation and variance for the data[19, 23, 36, 18, 44, 47, 18, 40, 27, 25, 14, 16, 6, 29, 50]	The Mean is 27.466666666666665 , Standard Deviation is 163.0488888888889, Variance is 12.769059827915637	dataSummaryFunc
60	Surface Area of Sphere	Surface area of Sphere with radius = 5m is	314.1592653589793 m^2	surfaceAreaSphere
61	Volume of Sphere	Volume of sphere with radius 63 m =	1047394.4243362226 m^3	volumeSphereFunc
62	nth Fibonacci number	What is the 60th Fibonacci number?	1548008755920	nthFibonacciNumberFunc
63	Profit or Loss Percent	Profit percent when CP = 121 and SP = 615 is:	408.26446280991735	profitLossPercentFunc
64	Binary to Hexidecimal	10110	0x16	binaryToHexFunc
65	Multiplication of 2 complex numbers	(20-1j) * (-7+14j) =	(-126+287j)	multiplyComplexNumbersFunc
66	Geometric Progression	For the given GP [2, 24, 288, 3456, 41472, 497664] ,Find the value of a,common ratio,9th term value, sum upto 10th term	The value of a is 2, common ratio is 12 , 9th term is 859963392 , sum upto 10th term is 11257702586.0	geomProgrFunc
67	Geometric Mean of N Numbers	Geometric mean of 4 numbers 18 , 24 , 99 , 12 =	(182499*12)^(1/4) = 26.765480655440626	geometricMeanFunc
68	Harmonic Mean of N Numbers	Harmonic mean of 2 numbers 41 and 82 =	2/((1/41) + (1/82)) = 54.66666666666666	harmonicMeanFunc
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[690.1926568125737, 148.904898302192, 222.19798825467595, 667.3276829127157, 366.9178192723557, 875.6869024243441, 336.14075266140685, 949.1256775112896, 626.0180041672427, 290.7427227038134, 207.55193301803965, 64.93900706542944, 736.3114771837603, 785.1756497858677] is:	2142.639328828992	euclidianNormFunc
70	Angle between 2 vectors	angle between the vectors [293.12905111302047, 909.0452944804068, 423.60965609823086, 870.8703924858319, 958.9076883380749, 837.4625321599826] and [938.5559146533071, 63.15299226225102, 418.14038421596024, 865.5267136591071, 513.9066820998474, 680.6577264839382] is:	NaN	angleBtwVectorsFunc
71	Absolute difference between two numbers	Absolute difference between numbers 76 and -20 =	96	absoluteDifferenceFunc
72	Dot Product of 2 Vectors	[19, 10, -5] . [0, -18, 15] =	-255	vectorDotFunc
73	Binary 2's Complement	2's complement of 110 =	10	binary2sComplement
74	Inverse of a Matrix	Inverse of Matrix Matrix(61, 68, 75], [31, 77, 66], [33, 59, 58) is:	Matrix(11/141, 37/564, -33/188], [95/1833, 1063/7332, -567/2444], [-178/1833, -1355/7332, 863/2444)	matrixInversion
75	Area of a Sector	Given radius, 20 and angle, 235. Find the area of the sector.	Area of sector = 820.30475	sectorAreaFunc
76	Mean and Median	Given the series of numbers [7, 89, 72, 14, 97, 48, 35, 12, 11, 27]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 41.2 and Arithmetic median of this series is 31.0	meanMedianFunc
77	Determinant to 2x2 Matrix	Det(26, 78], [39, 24) =	-2418	determinantToMatrix22
78	Compound Interest	Compound Interest for a principle amount of 6842 dollars, 8% rate of interest and for a time period of 5 compounded monthly is =	6842.0	compoundInterestFunc
79	Decimal to Hexadecimal	Binary of 860=	0x35c	deciToHexaFunc
80	Percentage of a number	What is 75% of 28?	Required percentage = 21.00%	percentageFunc
81	Celsius To Fahrenheit	Convert 30 degrees Celsius to degrees Fahrenheit =	86.0	celsiustofahrenheit
82	AP Term Calculation	Find the term number 47 of the AP series: -56, 37, 130 ...	4222	arithmeticProgressionTermFunc
83	AP Sum Calculation	Find the sum of first 79 terms of the AP series: 34, 24, 14 ...	-28124.0	arithmeticProgressionSumFunc
84	Converts decimal to octal	The decimal number 2245 in Octal is:	0o4305	decimalToOctalFunc
85	Converts decimal to Roman Numerals	The number 1658 in Roman Numerals is:	MDCLVIII	decimalToRomanNumeralsFunc
86	Degrees to Radians	Angle 12 in radians is =	0.21	degreeToRadFunc
87	Radians to Degrees	Angle 3 in degrees is =	171.89	radianToDegFunc