# 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 | 16+2= | 18 | addition |
| 1 | Subtraction | 9-6= | 3 | subtraction |
| 2 | Multiplication | 3*0= | 0 | multiplication |
| 3 | Division | 80/88= | 0.9090909090909091 | division |
| 4 | Binary Complement 1s | 0000100= | 1111011 | binary_complement_1s |
| 5 | Modulo Division | 99%94= | 5 | modulo_division |
| 6 | Square Root | sqrt(16)= | 4 | square_root |
| 7 | Power Rule Differentiation | 7x^8 + 4x^10 + 9x^9 + 4x^10 | 56x^7 + 40x^9 + 81x^8 + 40x^9 | power_rule_differentiation |
| 8 | Square | 17^2= | 289 | square |
| 9 | LCM (Least Common Multiple) | LCM of 1 and 8 = | 8 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 11 and 7 = | 1 | gcd |
| 11 | Basic Algebra | 8x + 4 = 4 | 0 | basic_algebra |
| 12 | Logarithm | log3(729) | 6 | log |
| 13 | Easy Division | 575/25 = | 23 | int_division |
| 14 | Decimal to Binary | Binary of 55= | 110111 | decimal_to_binary |
| 15 | Binary to Decimal | 01101001 | 105 | binary_to_decimal |
| 16 | Fraction Division | (1/2)/(7/10) | 5/7 | divide_fractions |
| 17 | Integer Multiplication with 2x2 Matrix | 7 * [[4, 2], [5, 0]] = | [[28,14],[35,0]] | multiply_int_to_22_matrix |
| 18 | Area of Triangle | Area of triangle with side lengths: 15 12 8 = | 47.811478747263195 | area_of_triangle |
| 19 | Triangle exists check | Does triangle with sides 23, 29 and 35 exist? | Yes | valid_triangle |
| 20 | Midpoint of the two point | (8,-2),(-11,-1)= | (-1.5,-1.5) | midpoint_of_two_points |
| 21 | Factoring Quadratic | x^2+6x+5 | (x+5)(x+1) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 39 and 12 = | 129 | third_angle_of_triangle |
| 23 | Solve a System of Equations in R^2 | 9x + 7y = 14, -6x - 2y = -28 | x = 7, y = -7 | system_of_equations |
| 24 | Distance between 2 points | Find the distance between (3, -6) and (3, -5) | sqrt(1) | distance_two_points |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 7 and 8 = | 10.63 | pythagorean_theorem |
| 26 | Linear Equations | -5x + -5y = 90, -7x + 4y = 137 | x = -19, y = 1 | linear_equations |
| 27 | Prime Factorisation | Find prime factors of 10 | [2, 5] | prime_factors |
| 28 | Fraction Multiplication | (2/9)*(8/10) | 8/45 | fraction_multiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 14 sides | 154.29 | angle_regular_polygon |
| 30 | Combinations of Objects | Number of combinations from 18 objects picked 6 at a time | 18564 | combinations |
| 31 | Factorial | 3! = | 6 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 18m is | 1944 m^2 | surface_area_cube |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 12m, 13m, 1m is | 362 m^2 | surface_area_cuboid |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 17m and radius = 17m is | 3631 m^2 | surface_area_cylinder |
| 35 | Volum of Cube | Volume of cube with side = 16m is | 4096 m^3 | volume_cube |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 7m, 13m, 14m is | 1274 m^3 | volume_cuboid |
| 37 | Volume of cylinder | Volume of cylinder with height = 2m and radius = 1m is | 6 m^3 | volume_cylinder |
| 38 | Surface Area of cone | Surface area of cone with height = 4m and radius = 6m is | 249 m^2 | surface_area_cone |
| 39 | Volume of cone | Volume of cone with height = 39m and radius = 15m is | 9189 m^3 | volume_cone |
| 40 | Common Factors | Common Factors of 30 and 61 = | [1] | common_factors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 6/6x + 7 and y = 4x + 9 | (-2/3, 19/3) | intersection_of_two_lines |
| 42 | Permutations | Number of Permutations from 15 objects picked 9 at a time = | 1816214400 | permutation |
| 43 | Cross Product of 2 Vectors | [-10, 6, 12] X [-6, 4, 1] = | [-42, -62, -4] | vector_cross |
| 44 | Compare Fractions | Which symbol represents the comparison between 10/1 and 4/6? | > | compare_fractions |
| 45 | Simple Interest | Simple interest for a principle amount of 9743 dollars, 1% rate of interest and for a time period of 5 years is = | 487.15 | simple_interest |
| 46 | Multiplication of two matrices | Multiplyand | | matrix_multiplication |
| 47 | Cube Root | cuberoot of 439 upto 2 decimal places is: | 7.6 | cube_root |
| 48 | Power Rule Integration | 2x^1 + 7x^4 + 10x^9 + 6x^10 | (2/1)x^2 + (7/4)x^5 + (10/9)x^10 + (6/10)x^11 + c | power_rule_integration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 148 , 57, 12 = | 143 | fourth_angle_of_quadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 72x^2+137x+32=0 | [-0.27, -1.63] | quadratic_equation |
| 51 | HCF (Highest Common Factor) | HCF of 17 and 1 = | 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 2 = | 1/36 | dice_sum_probability |
| 53 | Exponentiation | 18^1 = | 18 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [268, 237, 275, 264, 256, 215, 225, 294, 286, 283, 239, 219, 287, 262, 241, 223, 273, 279, 206, 274, 228, 236, 252, 285, 212, 229, 254, 295, 244, 232, 211, 213, 210, 227, 255, 280] with 95% confidence is | (258.07181132546515, 240.20596645231262) | confidence_interval |
| 55 | Comparing surds | Fill in the blanks 95^(1/2) _ 45^(1/5) | > | surds_comparison |
| 56 | Fibonacci Series | The Fibonacci Series of the first 2 numbers is ? | [0, 1] | fibonacci_series |
| 57 | Trigonometric Values | What is cos(90)? | 0 | basic_trigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 4 sides = | 360 | sum_of_polygon_angles |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[30, 16, 18, 10, 10, 21, 8, 27, 37, 8, 12, 25, 20, 9, 24] | The Mean is 18.333333333333332 , Standard Deviation is 75.42222222222222, Variance is 8.684596837057102 | data_summary |
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 8m is | 804.247719318987 m^2 | surface_area_sphere |
| 61 | Volume of Sphere | Volume of sphere with radius 42 m = | 310339.08869221417 m^3 | volume_sphere |
| 62 | nth Fibonacci number | What is the 92th Fibonacci number? | 7540113804746369024 | nth_fibonacci_number |
| 63 | Profit or Loss Percent | Profit percent when CP = 923 and SP = 973 is: | 5.417118093174431 | profit_loss_percent |
| 64 | Binary to Hexidecimal | 011010110 | 0xd6 | binary_to_hex |
| 65 | Multiplication of 2 complex numbers | (7+3j) * (9-10j) = | (93-43j) | multiply_complex_numbers |
| 66 | Geometric Progression | For the given GP [9, 36, 144, 576, 2304, 9216] ,Find the value of a,common ratio,8th term value, sum upto 7th term | The value of a is 9, common ratio is 4 , 8th term is 147456 , sum upto 7th term is 49149.0 | geometric_progression |
| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 96 , 22 and 75 = | (96*22*75)^(1/3) = 54.1067845799048 | geometric_mean |
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 14 and 99 = | 2/((1/14) + (1/99)) = 24.530973451327437 | harmonic_mean |
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[13.74350761660692, 579.8164944254971, 343.9004348023842, 447.91085049813904, 242.73436069826982, 677.824056340719, 908.0309446289546, 143.65153181819267, 268.05852693335817, 63.42979841101859] is: | 1447.2967158340782 | euclidian_norm |
| 70 | Angle between 2 vectors | angle between the vectors [554.45, 891.65, 845.2, 235.2, 741.43, 734.84, 92.76, 941.97, 885.6, 436.2, 476.49, 836.42, 743.03, 728.97, 963.3, 802.39] and [980.7, 745.14, 384.18, 452.88, 815.24, 725.39, 887.21, 828.72, 786.58, 990.6, 496.01, 439.13, 947.39, 737.59, 293.98, 880.62] is: | 0.5 radians | angle_btw_vectors |
| 71 | Absolute difference between two numbers | Absolute difference between numbers 88 and -73 = | 161 | absolute_difference |
| 72 | Dot Product of 2 Vectors | [-14, -2, 13] . [0, -18, -2] = | 10 | vector_dot |
| 73 | Binary 2's Complement | 2's complement of = | | binary_2s_complement |
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix([[53, 17, 67], [59, 72, 87], [2, 51, 61]]) is: | Matrix([[-9/26269, 476/26269, -669/26269], [-685/26269, 3099/131345, -658/131345], [573/26269, -2669/131345, 2813/131345]]) | invert_matrix |
| 75 | Area of a Sector | Given radius, 44 and angle, 279. Find the area of the sector. | Area of sector = 4713.64562 | sector_area |
| 76 | Mean and Median | Given the series of numbers [67, 20, 53, 42, 74, 89, 54, 4, 37, 49]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 48.9 and Arithmetic median of this series is 51.0 | mean_median |
| 77 | Determinant to 2x2 Matrix | Det([[44, 92], [88, 57]]) = | -5588 | int_matrix_22_determinant |
| 78 | Compound Interest | Compound interest for a principle amount of 3765 dollars, 5% rate of interest and for a time period of 1 year is = | 3953.25 | compound_interest |
| 79 | Decimal to Hexadecimal | Binary of 324= | 0x144 | decimal_to_hexadeci |
| 80 | Percentage of a number | What is 45% of 71? | Required percentage = 31.95% | percentage |
| 81 | Celsius To Fahrenheit | Convert 0 degrees Celsius to degrees Fahrenheit = | 32.0 | celsius_to_fahrenheit |
| 82 | AP Term Calculation | Find the term number 6 of the AP series: 29, -38, -105 ... | -306 | arithmetic_progression_term |
| 83 | AP Sum Calculation | Find the sum of first 50 terms of the AP series: -90, -141, -192 ... | -66975.0 | arithmetic_progression_sum |
| 84 | Converts decimal to octal | The decimal number 84 in Octal is: | 0o124 | decimal_to_octal |
| 85 | Converts decimal to Roman Numerals | The number 1646 in Roman Numerals is: | MDCXLVI | decimal_to_roman_numerals |
| 86 | Degrees to Radians | Angle 294 in radians is = | 5.13 | 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(exp(x)+2*x^(-4))/dx | exp(x) - 8/x^5 | differentiation |
| 89 | Definite Integral of Quadratic Equation | The definite integral within limits 0 to 1 of the equation 100x^2 + 44x + 23 is = | 78.3333 | definite_integral |
| 90 | isprime | 99 | False | is_prime |
| 91 | Binary Coded Decimal to Integer | Integer of Binary Coded Decimal 7 is = | 29969 | bcd_to_decimal |
| 92 | Complex To Polar Form | rexp(itheta) = | 22.67exp(i2.42) | complex_to_polar |
| 93 | Union,Intersection,Difference of Two Sets | Given the two sets a={8, 1, 4, 7} ,b={1, 2, 4, 7}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 2, 4, 7, 8},Intersection is {1, 4, 7}, a-b is {8},b-a is {2}, Symmetric difference is {2, 8} | set_operation |
| 94 | Base Conversion | Convert 344333 from base 6 to base 4. | 13031001 | base_conversion |
| 95 | Curved surface area of a cylinder | What is the curved surface area of a cylinder of radius, 1 and height, 69? | CSA of cylinder = 433.54 | curved_surface_area_cylinder |
| 96 | Perimeter of Polygons | The perimeter of a 8 sided polygon with lengths of [88, 89, 103, 89, 98, 88, 114, 70]cm is: | 739 | perimeter_of_polygons |
| 97 | Power of Powers | The 44^6^10 = 44^(6*10) = 44^60 | 404725519480944371837890113388236472786198610068547182641046982530192155481830472108593384496562176 | power_of_powers |
| 98 | Quotient of Powers with Same Base | The Quotient of 26^7 and 26^10 = 26^(7-10) = 26^-3 | 5.689576695493855e-05 | quotient_of_power_same_base |
| 99 | Quotient of Powers with Same Power | The Quotient of 3^10 and 5^10 = (3/5)^10 = 0.6^10 | 0.006046617599999997 | quotient_of_power_same_power |
| 100 | complex Quadratic Equation | Find the roots of given Quadratic Equation x^2 + 8x + 1 = 0 | simplified solution : ((-0.127, -7.873)), generalized solution : ((-8 + sqrt(60))/2*1, (-8 - sqrt(60))/2*1) | complex_quadratic |
| 101 | Leap Year or Not | Year 1932 | is a leap year | is_leap_year |
| 102 | Minute to Hour conversion | Convert 751 minutes to Hours & Minutes | 12 hours and 31 minutes | minutes_to_hours |