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)

Documentation

getGenList() returns a list of all generators in the repository in the format [id, title, self, funcname]

genById(id) generates a problem, solution set with generator id id in the form of a list in the format [problem, solution]

makePdf(id, count) creates a printable pdf worksheet with count problems generated by the generator with id id.

List of Generators

Id	Skill	Example problem	Example Solution	Function Name
0	Addition	30+50=	80	addition
1	Subtraction	75-7=	68	subtraction
2	Multiplication	23*3=	69	multiplication
3	Division	230/10 =	23	division
4	Binary Complement 1s	01110=	10001	binary_complement_1s
5	Modulo Division	92%37=	18	modulo_division
6	Square Root	sqrt(144)=	12	square_root
7	Power Rule Differentiation	7x^10	70x^9	power_rule_differentiation
8	Square	6^2=	36	square
9	LCM (Least Common Multiple)	LCM of 15 and 8 =	120	lcm
10	GCD (Greatest Common Denominator)	GCD of 16 and 13 =	1	gcd
11	Basic Algebra	3x + 4 = 6	2/3	basic_algebra
12	Logarithm	log3(9)	2	log
13	Complex Division	4/29=	0.14	complex_division
14	Decimal to Binary	Binary of 70=	1000110	decimal_to_binary
15	Binary to Decimal	110000	48	binary_to_decimal
16	Fraction Division	(2/9)/(9/10)	20/81	divide_fractions
17	Integer Multiplication with 2x2 Matrix	4 * 7, 4], [10, 2 =	28,16],[40,8	multiply_int_to_22_matrix
18	Area of Triangle	Area of triangle with side lengths: 7 20 17 =	57.445626465380286	area_of_triangle
19	Triangle exists check	Does triangle with sides 20, 18 and 34 exist?	Yes	valid_triangle
20	Midpoint of the two point	(20,20),(12,14)=	(16.0,17.0)	midpoint_of_two_points
21	Factoring Quadratic	x^2+2x	(x+2)(x)	factoring
22	Third Angle of Triangle	Third angle of triangle with angles 16 and 2 =	162	third_angle_of_triangle
23	Solve a System of Equations in R^2	2x - 4y = 44, -9x - 4y = 22	x = 2, y = -10	system_of_equations
24	Distance between 2 points	Find the distance between (10, 1) and (-17, 8)	sqrt(778)	distance_two_points
25	Pythagorean Theorem	The hypotenuse of a right triangle given the other two lengths 19 and 1 =	19.03	pythagorean_theorem
26	Linear Equations	2x + 15y = -211, 11x + -11y = 242	x = 7, y = -15	linear_equations
27	Prime Factorisation	Find prime factors of 199	[199]	prime_factors
28	Fraction Multiplication	(6/7)*(9/5)	54/35	fraction_multiplication
29	Angle of a Regular Polygon	Find the angle of a regular polygon with 9 sides	140.0	angle_regular_polygon
30	Combinations of Objects	Number of combinations from 17 objects picked 2 at a time	136	combinations
31	Factorial	6! =	720	factorial
32	Surface Area of Cube	Surface area of cube with side = 8m is	384 m^2	surface_area_cube
33	Surface Area of Cuboid	Surface area of cuboid with sides = 8m, 1m, 3m is	70 m^2	surface_area_cuboid
34	Surface Area of Cylinder	Surface area of cylinder with height = 4m and radius = 14m is	1583 m^2	surface_area_cylinder
35	Volum of Cube	Volume of cube with side = 13m is	2197 m^3	volume_cube
36	Volume of Cuboid	Volume of cuboid with sides = 14m, 17m, 18m is	4284 m^3	volume_cuboid
37	Volume of cylinder	Volume of cylinder with height = 45m and radius = 9m is	11451 m^3	volume_cylinder
38	Surface Area of cone	Surface area of cone with height = 40m and radius = 20m is	4066 m^2	surface_area_cone
39	Volume of cone	Volume of cone with height = 40m and radius = 4m is	670 m^3	volume_cone
40	Common Factors	Common Factors of 5 and 94 =	[1]	common_factors
41	Intersection of Two Lines	Find the point of intersection of the two lines: y = -6/4x + 10 and y = 10x - 2	(24/23, 194/23)	intersection_of_two_lines
42	Permutations	Number of Permutations from 10 objects picked 0 at a time =	1	permutation
43	Cross Product of 2 Vectors	[-19, 5, 14] X [19, -3, -14] =	[-28, 0, -38]	vector_cross
44	Compare Fractions	Which symbol represents the comparison between 2/9 and 7/3?	<	compare_fractions
45	Simple Interest	Simple interest for a principle amount of 2924 dollars, 2% rate of interest and for a time period of 8 years is =	467.84	simple_interest
46	Multiplication of two matrices	Multiply -1 7 6 -10 7 -8 1 5 10 and -10 -10 -8 -1 -7 -10 10 9 8 10 6 -8	9 0 114 16 -13 -50 102 137 35 40 102 -36	matrix_multiplication
47	Cube Root	cuberoot of 113 upto 2 decimal places is:	4.83	cube_root
48	Power Rule Integration	3x^5 + 1x^10 + 10x^10 + 10x^9 + 1x^6	(3/5)x^6 + (1/10)x^11 + (10/10)x^11 + (10/9)x^10 + (1/6)x^7 + c	power_rule_integration
49	Fourth Angle of Quadrilateral	Fourth angle of quadrilateral with angles 165 , 67, 58 =	70	fourth_angle_of_quadrilateral
50	Quadratic Equation	Zeros of the Quadratic Equation 94x^2+200x+90=0	[-0.65, -1.48]	quadratic_equation
51	HCF (Highest Common Factor)	HCF of 7 and 12 =	1	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 16 =	6/216	dice_sum_probability
53	Exponentiation	16^3 =	4096	exponentiation
54	Confidence interval For sample S	The confidence interval for sample [200, 282, 224, 297, 230, 261, 260, 223, 290, 203, 268, 295, 202, 280, 210, 274, 214, 270, 205, 258, 237, 265] with 80% confidence is	(256.5414375664878, 238.73128970623947)	confidence_interval
55	Comparing surds	Fill in the blanks 15^(1/6) _ 86^(1/5)	<	surds_comparison
56	Fibonacci Series	The Fibonacci Series of the first 6 numbers is ?	[0, 1, 1, 2, 3, 5]	fibonacci_series
57	Trigonometric Values	What is sin(90)?	1	basic_trigonometry
58	Sum of Angles of Polygon	Sum of angles of polygon with 5 sides =	540	sum_of_polygon_angles
59	Mean,Standard Deviation,Variance	Find the mean,standard deviation and variance for the data[29, 30, 37, 47, 25, 21, 33, 33, 19, 22, 36, 16, 7, 26, 46]	The Mean is 28.466666666666665 , Standard Deviation is 109.71555555555557, Variance is 10.474519347232864	data_summary
60	Surface Area of Sphere	Surface area of Sphere with radius = 16m is	3216.990877275948 m^2	surface_area_sphere
61	Volume of Sphere	Volume of sphere with radius 86 m =	2664305.1424956126 m^3	volume_sphere
62	nth Fibonacci number	What is the 27th Fibonacci number?	196418	nth_fibonacci_number
63	Profit or Loss Percent	Profit percent when CP = 644 and SP = 662 is:	2.7950310559006213	profit_loss_percent
64	Binary to Hexidecimal	1001100	0x4c	binary_to_hex
65	Multiplication of 2 complex numbers	(-4+10j) * -14j =	(140+56j)	multiply_complex_numbers
66	Geometric Progression	For the given GP [4, 12, 36, 108, 324, 972] ,Find the value of a,common ratio,7th term value, sum upto 11th term	The value of a is 4, common ratio is 3 , 7th term is 2916 , sum upto 11th term is 354292.0	geometric_progression
67	Geometric Mean of N Numbers	Geometric mean of 2 numbers 8 and 39 =	(8*39)^(1/2) = 17.663521732655695	geometric_mean
68	Harmonic Mean of N Numbers	Harmonic mean of 3 numbers 70 , 28 and 10 =	3/((1/70) + (1/28) + (1/10)) = 20.0	harmonic_mean
69	Euclidian norm or L2 norm of a vector	Euclidian norm or L2 norm of the vector[140.27767298648374, 455.13963882440834, 712.0553226043899, 459.3121590782242, 524.4218909490598, 750.5372175572093, 808.8045224974901, 383.6429461786214, 429.4419005181599, 678.4158119220333, 949.0750177704684, 959.5226153129328, 480.3240208778324, 106.9115204040202] is:	2300.592987768802	euclidian_norm
70	Angle between 2 vectors	angle between the vectors [411.42, 822.89, 457.69, 983.28] and [516.87, 275.57, 334.47, 19.0] is:	0.88 radians	angle_btw_vectors
71	Absolute difference between two numbers	Absolute difference between numbers 14 and -97 =	111	absolute_difference
72	Dot Product of 2 Vectors	[-2, 0, -18] . [9, 10, 15] =	-288	vector_dot
73	Binary 2's Complement	2's complement of 10 =	10	binary_2s_complement
74	Inverse of a Matrix	Inverse of Matrix Matrix(71, 25, 61], [21, 23, 8], [41, 70, 11) is:	Matrix(-307/12775, 799/2555, -1203/12775], [97/12775, -344/2555, 713/12775], [527/12775, -789/2555, 1108/12775)	invert_matrix
75	Area of a Sector	Given radius, 13 and angle, 322. Find the area of the sector.	Area of sector = 474.88664	sector_area
76	Mean and Median	Given the series of numbers [42, 66, 61, 2, 25, 95, 18, 14, 96, 6]. find the arithmatic mean and mdian of the series	Arithmetic mean of the series is 42.5 and Arithmetic median of this series is 33.5	mean_median
77	Determinant to 2x2 Matrix	Det(67, 22], [83, 9) =	-1223	int_matrix_22_determinant
78	Compound Interest	Compound interest for a principle amount of 1159 dollars, 3% rate of interest and for a time period of 9 year is =	1512.23	compound_interest
79	Decimal to Hexadecimal	Binary of 260=	0x104	decimal_to_hexadeci
80	Percentage of a number	What is 40% of 80?	Required percentage = 32.00%	percentage
81	Celsius To Fahrenheit	Convert 77 degrees Celsius to degrees Fahrenheit =	170.6	celsius_to_fahrenheit
82	AP Term Calculation	Find the term number 19 of the AP series: 66, 109, 152 ...	840	arithmetic_progression_term
83	AP Sum Calculation	Find the sum of first 84 terms of the AP series: 59, 110, 161 ...	182742.0	arithmetic_progression_sum
84	Converts decimal to octal	The decimal number 983 in Octal is:	0o1727	decimal_to_octal
85	Converts decimal to Roman Numerals	The number 1994 in Roman Numerals is:	MCMXCIV	decimal_to_roman_numerals
86	Degrees to Radians	Angle 82 in radians is =	1.43	degree_to_rad
87	Radians to Degrees	Angle 0 in degrees is =	0.0	radian_to_deg
88	Differentiation	differentiate w.r.t x : d(sin(x)+7*x^3)/dx	21*x^2 + cos(x)	differentiation
89	Definite Integral of Quadratic Equation	The definite integral within limits 0 to 1 of the equation 65x^2 + 91x + 72 is =	139.1667	definite_integral
90	isprime	64	False	is_prime
91	Binary Coded Decimal to Integer	Integer of Binary Coded Decimal 1 is =	4674	bcd_to_decimal
92	Complex To Polar Form	rexp(itheta) =	15.52exp(i1.83)	complex_to_polar
93	Union,Intersection,Difference of Two Sets	Given the two sets a={1, 3, 7, 8, 10} ,b={9, 10, 2, 5}.Find the Union,intersection,a-b,b-a and symmetric difference	Union is {1, 2, 3, 5, 7, 8, 9, 10},Intersection is {10}, a-b is {8, 1, 3, 7},b-a is {9, 2, 5}, Symmetric difference is {1, 2, 3, 5, 7, 8, 9}	set_operation
94	Base Conversion	Convert 44639 from base 10 to base 6.	542355	base_conversion
95	Curved surface area of a cylinder	What is the curved surface area of a cylinder of radius, 46 and height, 69?	CSA of cylinder = 19942.83	curved_surface_area_cylinder
96	Perimeter of Polygons	The perimeter of a 12 sided polygon with lengths of [18, 4, 59, 94, 107, 115, 42, 99, 16, 73, 2, 51]cm is:	680	perimeter_of_polygons
97	Power of Powers	The 14^10^5 = 14^(10*5) = 14^50	2024891623976437135118764865774783290467102632746078437376	power_of_powers
98	Quotient of Powers with Same Base	The Quotient of 36^8 and 36^10 = 36^(8-10) = 36^-2	0.0007716049382716049	quotient_of_power_same_base
99	Quotient of Powers with Same Power	The Quotient of 2^8 and 45^8 = (2/45)^8 = 0.044444444444444446^8	1.5224388403474453e-11	quotient_of_power_same_power
100	complex Quadratic Equation	Find the roots of given Quadratic Equation 4x^2 + 5x + 1 = 0	simplified solution : ((-0.25, -1.0)), generalized solution : ((-5 + 3)/24, (-5 - 3)/24)	complex_quadratic
101	Leap Year or Not	Year 2018	is not a leap year	is_leap_year
102	Minute to Hour conversion	Convert 381 minutes to Hours & Minutes	6 hours and 21 minutes	minutes_to_hours
103	Decimal to Binary Coded Decimal	BCD of Decimal Number 6496 is =	1960	decimal_to_bcd
104	Circumference	Circumference of circle with radius 68	427.2566008882119	circumference
105	Combine Like terms	9x^4 + 3x^2 + 5x^3 + 5x^1 + 10x^2	5x^1 + 13x^2 + 5x^3 + 9x^4	combine_like_terms
106	signum function	signum of -831 is =	-1	signum_function
107	Conditional Probability	Someone tested positive for a nasty disease which only 1.48% of population have. Test sensitivity (true positive) is equal to SN= 93.80% whereas test specificity (true negative) SP= 90.92%. What is the probability that this guy really has that disease?	13.43%	conditional_probability
108	Arc length of Angle	Given radius, 32 and angle, 122. Find the arc length of the angle.	Arc length of the angle = 68.13765	arc_length
109	Binomial distribution	A manufacturer of metal pistons finds that, on average, 35.48% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of 11 pistons will contain no more than 4 rejected pistons?	65.57	binomial_distribution
110	Stationary Points	f(x)=2x^2 + 9x + 7	(-9/4,-25/8)	stationary_points
111	Expanding Factored Binomial	(3x-3)(-1x+2)	-3x^2+9x-6	expanding
112	Area of Circle	Area of circle with radius 93	27182.571428571428	area_of_circle