8000 GitHub - ganeshapp/mathgenerator: A math problem generator, created for the purpose of giving self-studying students and teaching organizations the means to easily get access to high-quality, generated math problems to suit their needs.
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A math problem generator, created for the purpose of giving self-studying students and teaching organizations the means to easily get access to high-quality, generated math problems to suit their needs.

lukew3.github.io/mathgenerator

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MIT license
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mathgenerator

A math problem generator, created for the purpose of giving teachers and students the means to easily get access to random math exercises to suit their needs.

To try out generators, go to https://lukew3.github.io/mathgenerator

See CONTRIBUTING.md for information about how to contribute.

Table of Contents

Installation

The project can be install via pip

pip install mathgenerator

Usage

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)

Problem/solution pairs are generated with either:

  • mathgen.<generator_name>() - generates a problem, solution set from the given generator name.
  • mathgen.genById(id) - generates a problem, solution set with generator id provided by the id parameter

You can also use getGenList() to return a list of all generators included in the library in the format:

[id, title, self, funcname, subjectname]

List of Generators

algebra

Id Skill Example problem Example Solution Function Name Kwargs
11 Basic Algebra 7x + 1 = 6 5/7 basic_algebra maxVariable=10
12 Logarithm log2(16) 4 log maxBase=3 maxVal=8
17 Integer Multiplication with 2x2 Matrix 5 * [[0, 4], [3, 0]] = [[0,20],[15,0]] multiply_int_to_22_matrix maxMatrixVal=10 maxRes=100
20 Midpoint of the two point (3,-13),(-6,5)= (-1.5,-4.0) midpoint_of_two_points maxValue=20
21 Factoring Quadratic x^2+2x-48 (x-6)(x+8) factoring range_x1=10 range_x2=10
23 Solve a System of Equations in R^2 5x + 2y = -9, -10x - y = -3 x = 1, y = -7 system_of_equations range_x=10 range_y=10 coeff_mult_range=10
24 Distance between 2 points Find the distance between (4, 18) and (-9, 4) sqrt(365) distance_two_points maxValXY=20 minValXY=-20
26 Linear Equations -18x + 11y = 445, 12x + -8y = -304 x = -18, y = 11 linear_equations n=2 varRange=20 coeffRange=20
41 Intersection of Two Lines Find the point of intersection of the two lines: y = -x + 1 and y = -1/6x + 1 (0, 1) intersection_of_two_lines minM=-10 maxM=10 minB=-10 maxB=10 minDenominator=1 maxDenominator=6
43 Cross Product of 2 Vectors [9, 6, -6] X [-1, -4, -3] = [-42, 33, -30] vector_cross minVal=-20 maxVal=20
45 Simple Interest Simple interest for a principle amount of 5981 dollars, 9% rate of interest and for a time period of 4 years is = 2153.16 simple_interest maxPrinciple=10000 maxRate=10 maxTime=10
46 Multiplication of two matrices Multiply
5-3-2
3-72
-160
and
-90
93
-73
-58-15
-104-15
6318
 matrix_multiplication maxVal=100 max_dim=10
50 Quadratic Equation Zeros of the Quadratic Equation 47x^2+185x+57=0 [-0.34, -3.6] quadratic_equation maxVal=100
65 Multiplication of 2 complex numbers (8+0j) * (3-16j) = (24-128j) multiply_complex_numbers minRealImaginaryNum=-20 maxRealImaginaryNum=20
72 Dot Product of 2 Vectors [20, 15, -19] . [2, 6, 19] = -231 vector_dot minVal=-20 maxVal=20
74 Inverse of a Matrix Inverse of Matrix Matrix([[53, 37, 10], [19, 33, 67], [29, 74, 73]]) is: Matrix([[2549/110035, 1961/110035, -2149/110035], [-556/110035, -3579/110035, 3361/110035], [-449/110035, 2849/110035, -1046/110035]]) invert_matrix SquareMatrixDimension=3 MaxMatrixElement=99 >
77 Determinant to 2x2 Matrix Det([[55, 18], [12, 62]]) = 3194 int_matrix_22_determinant maxMatrixVal=100
78 Compound Interest Compound interest for a principle amount of 8346 dollars, 1% rate of interest and for a time period of 5 year is = 8771.73 compound_interest maxPrinciple=10000 maxRate=10 maxTime=10
100 complex Quadratic Equation Find the roots of given Quadratic Equation 7x^2 + 8x + 1 = 0 simplified solution : ((-0.143, -1.0)), generalized solution : ((-8 + 6)/27, (-8 - 6)/27) complex_quadratic prob_type=0 max_range=10
105 Combine Like terms 5x^1 + 10x^2 5x^1 + 10x^2 combine_like_terms maxCoef=10 maxExp=20 maxTerms=10
111 Expanding Factored Binomial (-9x+3)(-5x+10) 45x^2-105x+30 expanding range_x1=10 range_x2=10 range_a=10 range_b=10

basic_math

Id Skill Example problem Example Solution Function Name Kwargs
0 Addition (25+2) 27 addition maxSum=99 maxAddend=50
1 Subtraction 40-4= 36 subtraction maxMinuend=99 maxDiff=99
2 Multiplication 7*0= 0 multiplication maxMulti=12
3 Division 165/15= 11 division maxA=25 maxB=25
6 Square Root sqrt(25)= 5 square_root minNo=1 maxNo=12
8 Square 18^2= 324 square maxSquareNum=20
13 Complex Division 10/10= 1.0 complex_division maxRes=99 maxDivid=99
16 Fraction Division (8/9)/(1/2) 16/9 divide_fractions maxVal=10
28 Fraction Multiplication (4/10)*(2/4) 1/5 fraction_multiplication maxVal=10
31 Factorial 2! = 2 factorial maxInput=6
44 Compare Fractions Which symbol represents the comparison between 8/3 and 3/7? > compare_fractions maxVal=10
47 Cube Root What is the cube root of 962 up to 2 decimal places? 9.87 cube_root minNo=1 maxNo=1000
53 Exponentiation 20^8 = 25600000000 exponentiation maxBase=20 maxExpo=10
71 Absolute difference between two numbers 3--65 = 68
80 Percentage of a number What is 16% of 57? 9.12 percentage maxValue=99 maxpercentage=99
90 isprime Is 84 prime? No is_prime max_num=100
97 Power of Powers Simplify 21^2^1= 21^2 power_of_powers maxBase=50 maxPower=10
118 Percentage difference What is the percentage difference between 172 and 6? 186.52% percentage_difference maxValue=200 minValue=0
119 Percentage error Find the percentage error when observed value equals -74 and exact value equals -30. 146.67% percentage_error maxValue=100 minValue=-100
120 Greatest Common Divisor of N Numbers GCD(29525945,314084311)= 1 greatest_common_divisor numbersCount=2 maximalNumberLimit=10**9

calculus

Id Skill Example problem Example Solution Function Name Kwargs
7 Power Rule Differentiation 9x^9 + 6x^5 81x^8 + 30x^4 power_rule_differentiation maxCoef=10 maxExp=10 maxTerms=5
48 Power Rule Integration 3x^10 + 2x^10 (3/10)x^11 + (2/10)x^11 + c power_rule_integration maxCoef=10 maxExp=10 maxTerms=5
88 Differentiation differentiate w.r.t x : d(tan(x)+3*x^3)/dx 9*x^2 + tan(x)^2 + 1 differentiation diff_lvl=2
89 Definite Integral of Quadratic Equation The definite integral within limits 0 to 1 of the equation 91x^2 + 24x + 10 is = 52.3333 definite_integral max_coeff=100
110 Stationary Points f(x)=10x^3 + 10x^2 + 2*x + 6 (-1/3 - sqrt(10)/15,10*(-1/3 - sqrt(10)/15)**3 - 2sqrt(10)/15 + 10(-1/3 - sqrt(10)/15)*2 + 16/3),(-1/3 + sqrt(10)/15,10(-1/3 + sqrt(10)/15)*3 + 10(-1/3 + sqrt(10)/15)**2 + 2*sqrt(10)/15 + 16/3) stationary_points maxExp=3 maxCoef=10

computer_science

Id Skill Example problem Example Solution Function Name Kwargs
4 Binary Complement 1s 0110= 1001 binary_complement_1s maxDigits=10
5 Modulo Division 82%80= 2 modulo_division maxRes=99 maxModulo=99
14 Decimal to Binary Binary of 82= 1010010 decimal_to_binary max_dec=99
15 Binary to Decimal 1010 10 binary_to_decimal max_dig=10
56 Fibonacci Series The Fibonacci Series of the first 3 numbers is ? [0, 1, 1] fibonacci_series minNo=1
62 nth Fibonacci number What is the 31th Fibonacci number? 1346269 nth_fibonacci_number maxN=100
64 Binary to Hexidecimal 00 0x0 binary_to_hex max_dig=10
73 Binary 2's Complement 2's complement of 1011111 = 100001 binary_2s_complement maxDigits=10
79 Decimal to Hexadecimal Binary of 595= 0x253 decimal_to_hexadeci max_dec=1000
84 Converts decimal to octal The decimal number 3335 in Octal is: 0o6407 decimal_to_octal maxDecimal=4096
91 Binary Coded Decimal to Integer Integer of Binary Coded Decimal 2 is = 8295 bcd_to_decimal maxNumber=10000
103 Decimal to Binary Coded Decimal BCD of Decimal Number 3270 is = 12126 decimal_to_bcd maxNumber=10000

geometry

Id Skill Example problem Example Solution Function Name Kwargs
18 Area of Triangle Area of triangle with side lengths: 16 18 7 = 55.8 area_of_triangle maxA=20 maxB=20
19 Triangle exists check Does triangle with sides 43, 29 and 45 exist? Yes valid_triangle maxSideLength=50
22 Third Angle of Triangle Third angle of triangle with angles 74 and 56 = 50 third_angle_of_triangle maxAngle=89
25 Pythagorean Theorem The hypotenuse of a right triangle given the other two lengths 12 and 13 = 17.69 pythagorean_theorem maxLength=20
29 Angle of a Regular Polygon Find the angle of a regular polygon with 6 sides 120.0 angle_regular_polygon minVal=3 maxVal=20
32 Surface Area of Cube Surface area of cube with side = 14m is 1176 m^2 surface_area_cube maxSide=20 unit='m'
33 Surface Area of Cuboid Surface area of cuboid with sides = 2m, 20m, 15m is 740 m^2 surface_area_cuboid maxSide=20 unit='m'
34 Surface Area of Cylinder Surface area of cylinder with height = 5m and radius = 20m is 3141 m^2 surface_area_cylinder maxRadius=20 maxHeight=50 unit='m'
35 Volume of Cube Volume of cube with side = 3m is 27 m^3 volume_cube maxSide=20 unit='m'
36 Volume of Cuboid Volume of cuboid with sides = 2m, 7m, 13m is 182 m^3 volume_cuboid maxSide=20 unit='m'
37 Volume of cylinder Volume of cylinder with height = 49m and radius = 9m is 12468 m^3 volume_cylinder maxRadius=20 maxHeight=50 unit='m'
38 Surface Area of cone Surface area of cone with height = 44m and radius = 7m is 1133 m^2 surface_area_cone maxRadius=20 maxHeight=50 unit='m'
39 Volume of cone Volume of cone with height = 5m and radius = 12m is 753 m^3 volume_cone maxRadius=20 maxHeight=50 unit='m'
49 Fourth Angle of Quadrilateral Fourth angle of quadrilateral with angles 42 , 126, 95 = 97 fourth_angle_of_quadrilateral maxAngle=180
57 Trigonometric Values What is tan(45)? 1 basic_trigonometry angles=[0, 30, 45, 60, 90] functions=['sin', 'cos', 'tan']
58 Sum of Angles of Polygon Sum of angles of polygon with 9 sides = 1260 sum_of_polygon_angles maxSides=12
60 Surface Area of Sphere Surface area of Sphere with radius = 5m is 314.1592653589793 m^2 surface_area_sphere maxSide=20 unit='m'
61 Volume of Sphere Volume of sphere with radius 24 m = 57905.83579096706 m^3 volume_sphere maxRadius=100
70 Angle between 2 vectors angle between the vectors [501.77, 761.2, 553.5, 411.41, 87.99, 695.99] and [329.3, 902.75, 451.75, 94.17, 457.01, 550.07] is: 0.43 radians angle_btw_vectors maxEltAmt=20
75 Area of a Sector Given radius, 41 and angle, 214. Find the area of the sector. Area of sector = 3139.27137 sector_area maxRadius=49 maxAngle=359
86 Degrees to Radians Angle 18 in radians is = 0.31 degree_to_rad max_deg=360
87 Radians to Degrees Angle 3 in degrees is = 171.89 radian_to_deg max_rad=3
95 Curved surface area of a cylinder What is the curved surface area of a cylinder of radius, 19 and height, 22? CSA of cylinder = 2626.37 curved_surface_area_cylinder maxRadius=49 maxHeight=99
96 Perimeter of Polygons The perimeter of a 5 sided polygon with lengths of [85, 11, 110, 91, 52]cm is: 349 perimeter_of_polygons maxSides=12 maxLength=120
104 Circumference Circumference of circle with radius 85 534.0707511102648 circumference maxRadius=100
108 Arc length of Ang 97CC le Given radius, 49 and angle, 152. Find the arc length of the angle. Arc length of the angle = 129.99212 arc_length maxRadius=49 maxAngle=359
112 Area of Circle Area of circle with radius 38 4538.285714285715 area_of_circle maxRadius=100
113 Volume of frustum Volume of frustum with height = 29m and r1 = 6m is and r2 = 6m is 16885.0 m^3 volume_frustum maxR1=20 maxR2=20 maxHeight=50 unit='m'
114 Equation of line from two points What is the equation of the line between points (2,19) and (-10,13) in slope-intercept form? 2y = x + 36 equation_of_line_from_two_points maxCoordinate=20 minCoordinate=-20
115 Area of Circle given center and a point on circle Area of circle with center (4,4) and passing through (4.0, 4.0) is 0.0 area_of_circle_given_center_and_point maxCoordinate = 10 maxRadius=10
117 Volume of Hemisphere Volume of hemisphere with radius 27 m = 41223.979 m^3 volume_hemisphere maxRadius=100
122 Volume of pyramid Volume of pyramid with base length = 5 m, base width = 16 m and height = 42 m is 1120.0 m^3 volume_pyramid maxLength=20 maxWidth=20 maxHeight=50 unit='m'
123 Surface area of pyramid Surface area of pyramid with base length = 20m, base width = 50m, and height = 24m 1870 m^2 surface_area_pyramid unit='m'

misc

Id Skill Example problem Example Solution Function Name Kwargs
9 LCM (Least Common Multiple) LCM of 7 and 19 = 133 lcm maxVal=20
10 GCD (Greatest Common Denominator) GCD of 16 and 11 = 1 gcd maxVal=20
27 Prime Factorisation Find prime factors of 23 [23] prime_factors minVal=1 maxVal=200
40 Common Factors Common Factors of 34 and 20 = [1, 2] common_factors maxVal=100
51 HCF (Highest Common Factor) HCF of 10 and 20 = 10 hcf maxVal=20
55 Comparing surds Fill in the blanks 67^(1/4) _ 15^(1/5) > surds_comparison maxValue=100 maxRoot=10
63 Profit or Loss Percent Profit percent when CP = 116 and SP = 446 is: 284.48275862068965 profit_loss_percent maxCP=1000 maxSP=1000
66 Geometric Progression For the given GP [7, 77, 847, 9317, 102487, 1127357] ,Find the value of a,common ratio,9th term value, sum upto 6th term The value of a is 7, common ratio is 11 , 9th term is 1500512167 , sum upto 6th term is 1240092.0 geometric_progression number_values=6 min_value=2 max_value=12 n_term=7 sum_term=5
67 Geometric Mean of N Numbers Geometric mean of 3 numbers 24 , 17 and 8 = (24178)^(1/3) = 14.833719077064755 geometric_mean maxValue=100 maxNum=4
68 Harmonic Mean of N Numbers Harmonic mean of 2 numbers 36 and 10 = 2/((1/36) + (1/10)) = 15.65217391304348 harmonic_mean maxValue=100 maxNum=4
69 Euclidian norm or L2 norm of a vector Euclidian norm or L2 norm of the vector[662.188456830693, 258.9343100016411, 674.6373606909881, 145.42173783600865, 915.3419640001316, 532.3072720135815, 564.2351770581631, 108.13767884525704, 687.9402187703554, 874.3820025839659, 805.5736380024711, 941.7491419729342, 160.1472208023249, 174.14254996459778] is: 2294.0573965748918 euclidian_norm maxEltAmt=20
81 Celsius To Fahrenheit Convert -25 degrees Celsius to degrees Fahrenheit = -13.0 celsius_to_fahrenheit maxTemp=100
82 AP Term Calculation Find the term number 79 of the AP series: 27, -42, -111 ... -5355 arithmetic_progression_term maxd=100 maxa=100 maxn=100
83 AP Sum Calculation Find the sum of first 72 terms of the AP series: -93, -114, -135 ... -60372.0 arithmetic_progression_sum maxd=100 maxa=100 maxn=100
85 Converts decimal to Roman Numerals The number 0 in Roman Numerals is: MDXXXVI decimal_to_roman_numerals maxDecimal=4000
92 Complex To Polar Form 8.54(-8.0theta + i-3.0theta) -2.78 complex_to_polar minRealImaginaryNum=-20, maxRealImaginaryNum=20
93 Union,Intersection,Difference of Two Sets Given the two sets a={8, 9, 10, 7} ,b={3, 4, 5, 9, 10}.Find the Union,intersection,a-b,b-a and symmetric difference Union is {3, 4, 5, 7, 8, 9, 10},Intersection is {9, 10}, a-b is {8, 7},b-a is {3, 4, 5}, Symmetric difference is {3, 4, 5, 7, 8} set_operation minval=3 maxval=7 n_a=4 n_b=5
94 Base Conversion Convert 46132 from base 9 to base 16. 7808 base_conversion maxNum=60000 maxBase=16
98 Quotient of Powers with Same Base The Quotient of 19^5 and 19^8 = 19^(5-8) = 19^-3 0.0001457938474996355 quotient_of_power_same_base maxBase=50 maxPower=10
99 Quotient of Powers with Same Power The Quotient of 48^8 and 42^8 = (48/42)^8 = 1.1428571428571428^8 2.910285368046528 quotient_of_power_same_power maxBase=50 maxPower=10
101 Leap Year or Not Year 1941 is not a leap year is_leap_year minNumber=1900 maxNumber=2099
102 Minute to Hour conversion Convert 735 minutes to Hours & Minutes 12 hours and 15 minutes minutes_to_hours maxMinutes=999
106 signum function signum of 46 is = 1 signum_function min=-999 max=999
109 Binomial distribution A manufacturer of metal pistons finds that, on average, 31.39% 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 2 rejected pistons? 27.82 binomial_distribution ``
116 Factors of a number Factors of 279 = [1, 3, 9, 31, 93, 279] Factors maxVal=1000
121 Product of scientific notaions Product of scientific notations 5.18x10^48 and 5.01x10^16 = 2.6x10^65 product_of_scientific_notations minExpVal=-100 maxExpVal=100

statistics

Id Skill Example problem Example Solution Function Name Kwargs
30 Combinations of Objects Number of combinations from 20 objects picked 7 at a time 77520 combinations maxlength=20
42 Permutations Number of Permutations from 15 objects picked 6 at a time = 3603600 permutation maxlength=20
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 2 = 1/36 dice_sum_probability maxDice=3
54 Confidence interval For sample S The confidence interval for sample [272, 236, 244, 247, 251, 209, 214, 207, 238, 204, 254, 258, 215, 218, 285, 274, 220, 235, 212, 271, 241, 222, 201, 237, 233, 246, 229, 287, 253, 208, 242, 299, 245] with 99% confidence is (250.97182391664583, 228.24029729547536) confidence_interval ``
59 Mean,Standard Deviation,Variance Find the mean,standard deviation and variance for the data[9, 26, 45, 37, 40, 13, 12, 18, 27, 5, 14, 25, 32, 28, 21] The Mean is 23.466666666666665 , Standard Deviation is 130.11555555555555, Variance is 11.406820571726179 data_summary number_values=15 minval=5 maxval=50
76 Mean and Median Given the series of numbers [1, 4, 14, 21, 22, 30, 43, 44, 51, 63]. find the arithmatic mean and mdian of the series Arithmetic mean of the series is 29.3 and Arithmetic median of this series is 26.0 mean_median maxlen=10
107 Conditional Probability Someone tested positive for a nasty disease which only 0.07% of population have. Test sensitivity (true positive) is equal to SN= 98.04% whereas test specificity (true negative) SP= 94.26%. What is the probability that this guy really has that disease? 1.18% conditional_probability ``

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A math problem generator, created for the purpose of giving self-studying students and teaching organizations the means to easily get access to high-quality, generated math problems to suit their needs.

lukew3.github.io/mathgenerator

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