# 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
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
```bash
pip install mathgenerator
```
Here is an example of how you would generate an addition problem:
```python
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 | 31+3= | 34 | addition |
| 1 | Subtraction | 69-64= | 5 | subtraction |
| 2 | Multiplication | 88*1= | 88 | multiplication |
| 3 | Division | 77/8= | 9.625 | division |
| 4 | Binary Complement 1s | 11100= | 00011 | binary_complement_1s |
| 5 | Modulo Division | 40%27= | 13 | modulo_division |
| 6 | Square Root | sqrt(121)= | 11 | square_root |
| 7 | Power Rule Differentiation | 7x^3 | 21x^2 | power_rule_differentiation |
| 8 | Square | 13^2= | 169 | square |
| 9 | LCM (Least Common Multiple) | LCM of 15 and 9 = | 45 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 4 and 20 = | 4 | gcd |
| 11 | Basic Algebra | 10x + 8 = 9 | 1/10 | basic_algebra |
| 12 | Logarithm | log3(9) | 2 | log |
| 13 | Easy Division | 54/3 = | 18 | int_division |
| 14 | Decimal to Binary | Binary of 82= | 1010010 | decimal_to_binary |
| 15 | Binary to Decimal | 11 | 3 | binary_to_decimal |
| 16 | Fraction Division | (7/9)/(9/8) | 56/81 | divide_fractions |
| 17 | Integer Multiplication with 2x2 Matrix | 5 * [[3, 8], [4, 7]] = | [[15,40],[20,35]] | multiply_int_to_22_matrix |
| 18 | Area of Triangle | Area of triangle with side lengths: 4 10 12 = | 18.734993995195193 | area_of_triangle |
| 19 | Triangle exists check | Does triangle with sides 39, 48 and 2 exist? | No | valid_triangle |
| 20 | Midpoint of the two point | (-17,18),(-10,20)= | (-13.5,19.0) | midpoint_of_two_points |
| 21 | Factoring Quadratic | x^2-16x+60 | (x-10)(x-6) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 35 and 52 = | 93 | third_angle_of_triangle |
| 23 | Solve a System of Equations in R^2 | 4x + 2y = -22, 5x + 6y = -31 | x = -5, y = -1 | system_of_equations |
| 24 | Distance between 2 points | Find the distance between (2, -19) and (7, -4) | sqrt(250) | distance_two_points |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 13 and 9 = | 15.81 | pythagorean_theorem |
| 26 | Linear Equations | 18x + -12y = -42, 9x + 7y = 161 | x = 7, y = 14 | linear_equations |
| 27 | Prime Factorisation | Find prime factors of 45 | [3, 3, 5] | prime_factors |
| 28 | Fraction Multiplication | (7/5)*(3/1) | 21/5 | fraction_multiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 16 sides | 157.5 | angle_regular_polygon |
| 30 | Combinations of Objects | Number of combinations from 14 objects picked 5 at a time | 2002 | combinations |
| 31 | Factorial | 0! = | 1 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 3m is | 54 m^2 | surface_area_cube |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 7m, 2m, 4m is | 100 m^2 | surface_area_cuboid |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 12m and radius = 3m is | 282 m^2 | surface_area_cylinder |
| 35 | Volum of Cube | Volume of cube with side = 19m is | 6859 m^3 | volume_cube |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 8m, 9m, 10m is | 720 m^3 | volume_cuboid |
| 37 | Volume of cylinder | Volume of cylinder with height = 13m and radius = 4m is | 653 m^3 | volume_cylinder |
| 38 | Surface Area of cone | Surface area of cone with height = 46m and radius = 1m is | 147 m^2 | surface_area_cone |
| 39 | Volume of cone | Volume of cone with height = 35m and radius = 10m is | 3665 m^3 | volume_cone |
| 40 | Common Factors | Common Factors of 71 and 25 = | [1] | common_factors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -7x + 9 and y = 0/3x - 10 | (19/7, -10) | intersection_of_two_lines |
| 42 | Permutations | Number of Permutations from 20 objects picked 8 at a time = | 5079110400 | permutation |
| 43 | Cross Product of 2 Vectors | [-4, 4, -3] X [-6, 6, 14] = | [74, 74, 0] | vector_cross |
| 44 | Compare Fractions | Which symbol represents the comparison between 6/1 and 6/2? | > | compare_fractions |
| 45 | Simple Interest | Simple interest for a principle amount of 2266 dollars, 8% rate of interest and for a time period of 6 years is = | 1087.68 | simple_interest |
| 46 | Multiplication of two matrices | Multiplyand | | matrix_multiplication |
| 47 | Cube Root | cuberoot of 196 upto 2 decimal places is: | 5.81 | cube_root |
| 48 | Power Rule Integration | 6x^4 | (6/4)x^5 + c | power_rule_integration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 175 , 22, 60 = | 103 | fourth_angle_of_quadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 64x^2+159x+78=0 | [-0.67, -1.81] | quadratic_equation |
| 51 | HCF (Highest Common Factor) | HCF of 9 and 17 = | 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 5 = | 4/36 | dice_sum_probability |
| 53 | Exponentiation | 18^1 = | 18 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [277, 237, 229, 258, 291, 278, 274, 242, 267, 287, 288, 293, 208, 273, 255, 259, 263, 269, 265, 210, 281, 276, 256, 238, 271, 297, 202, 252] with 95% confidence is | (269.92602102647436, 251.21683611638275) | confidence_interval |
| 55 | Comparing surds | Fill in the blanks 58^(1/2) _ 44^(1/1) | < | surds_comparison |
| 56 | Fibonacci Series | The Fibonacci Series of the first 9 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21] | fibonacci_series |
| 57 | Trigonometric Values | What is cos(90)? | 0 | basic_trigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 11 sides = | 1620 | sum_of_polygon_angles |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[11, 43, 11, 20, 7, 47, 42, 16, 37, 29, 39, 11, 36, 25, 49] | The Mean is 28.2 , Standard Deviation is 200.95999999999998, Variance is 14.17603611733548 | data_summary |
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 4m is | 201.06192982974676 m^2 | surface_area_sphere |
| 61 | Volume of Sphere | Volume of sphere with radius 66 m = | 1204260.4287152681 m^3 | volume_sphere |
| 62 | nth Fibonacci number | What is the 96th Fibonacci number? | 51680708854858489856 | nth_fibonacci_number |
| 63 | Profit or Loss Percent | Profit percent when CP = 591 and SP = 796 is: | 34.686971235194584 | profit_loss_percent |
| 64 | Binary to Hexidecimal | 101010111 | 0x157 | binary_to_hex |
| 65 | Multiplication of 2 complex numbers | (6+16j) * (15-11j) = | (266+174j) | multiply_complex_numbers |
| 66 | Geometric Progression | For the given GP [5, 30, 180, 1080, 6480, 38880] ,Find the value of a,common ratio,6th term value, sum upto 8th term | The value of a is 5, common ratio is 6 , 6th term is 38880 , sum upto 8th term is 1679615.0 | geometric_progression |
| 67 | Geometric Mean of N Numbers | Geometric mean of 4 numbers 64 , 71 , 42 , 69 = | (64*71*42*69)^(1/4) = 60.239890804783805 | geometric_mean |
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 13 and 89 = | 2/((1/13) + (1/89)) = 22.68627450980392 | harmonic_mean |
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[776.6691324098483, 606.5799343351656, 285.46422221982624, 372.01270687089004, 86.18433302762118, 939.355471377651, 202.1465319226168, 932.3553335024733, 275.1276478308532, 160.88380854198425] is: | 1758.5739637031488 | euclidian_norm |
| 70 | Angle between 2 vectors | angle between the vectors [601.4612452378941, 933.4356902778246, 438.03974725076324, 281.0471724516086] and [402.0844562515671, 707.7656850759612, 547.0834759350798, 897.3106790199977] is: | NaN | angle_btw_vectors |
| 71 | Absolute difference between two numbers | Absolute difference between numbers 67 and 24 = | 43 | absolute_difference |
| 72 | Dot Product of 2 Vectors | [12, -8, 13] . [16, -6, 19] = | 487 | vector_dot |
| 73 | Binary 2's Complement | 2's complement of = | | binary_2s_complement |
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[52, 89, 11], [44, 72, 61], [17, 87, 7]]) is: | Matrix([[1601/52077, -334/156231, -4637/156231], [-81/17359, -59/52077, 896/52077], [-868/52077, 3011/156231, 172/156231]]) | invert_matrix |
| 75 | Area of a Sector | Given radius, 4 and angle, 16. Find the area of the sector. | Area of sector = 2.23402 | sector_area |
| 76 | Mean and Median | Given the series of numbers [90, 44, 84, 5, 79, 31, 78, 89, 56, 34]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 59.0 and Arithmetic median of this series is 67.0 | mean_median |
| 77 | Determinant to 2x2 Matrix | Det([[0, 19], [73, 25]]) = | -1387 | int_matrix_22_determinant |
| 78 | Compound Interest | Compound Interest for a principle amount of 7422 dollars, 10% rate of interest and for a time period of 2 compounded monthly is = | 7422.0 | compound_interest |
| 79 | Decimal to Hexadecimal | Binary of 946= | 0x3b2 | decimal_to_hexadeci |
| 80 | Percentage of a number | What is 94% of 88? | Required percentage = 82.72% | percentage |
| 81 | Celsius To Fahrenheit | Convert 14 degrees Celsius to degrees Fahrenheit = | 57.2 | celsius_to_fahrenheit |
| 82 | AP Term Calculation | Find the term number 48 of the AP series: 33, 9, -15 ... | -1095 | arithmetic_progression_term |
| 83 | AP Sum Calculation | Find the sum of first 12 terms of the AP series: 26, 67, 108 ... | 3018.0 | arithmetic_progression_sum |
| 84 | Converts decimal to octal | The decimal number 2394 in Octal is: | 0o4532 | decimal_to_octal |
| 85 | Converts decimal to Roman Numerals | The number 25 in Roman Numerals is: | XXV | decimal_to_roman_numerals |
| 86 | Degrees to Radians | Angle 9 in radians is = | 0.16 | degree_to_rad |
| 87 | Radians to Degrees | Angle 2 in degrees is = | 114.59 | radian_to_deg |
| 88 | Differentiation | differentiate w.r.t x : d(sec(x)+6*x^4)/dx | 24*x^3 + tan(x)*sec(x) | differentiation |