# 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 | 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 | Multiplyand | | 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 = | (18*24*99*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 |