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12 KiB
12 KiB
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)
List of Generators
| Id | Skill | Example problem | Example Solution | Function Name | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| [//]: # list start | ||||||||||||||||||||||||
| 0 | Addition | 24+32= | 56 | addition | ||||||||||||||||||||
| 1 | Subtraction | 14-4= | 10 | subtractionFunc | ||||||||||||||||||||
| 2 | Multiplication | 28*3= | 84 | multiplicationFunc | ||||||||||||||||||||
| 3 | Division | 55/39= | 1.4102564102564104 | divisionFunc | ||||||||||||||||||||
| 4 | Binary Complement 1s | 1010000= | 0101111 | binaryComplement1sFunc | ||||||||||||||||||||
| 5 | Modulo Division | 74%21= | 11 | moduloFunc | ||||||||||||||||||||
| 6 | Square Root | sqrt(1)= | 1 | squareRootFunc | ||||||||||||||||||||
| 7 | Power Rule Differentiation | 6x^5 + 10x^4 + 10x^9 | 30x^4 + 40x^3 + 90x^8 | powerRuleDifferentiationFunc | ||||||||||||||||||||
| 8 | Square | 17^2= | 289 | squareFunc | ||||||||||||||||||||
| 9 | LCM (Least Common Multiple) | LCM of 6 and 13 = | 78 | lcmFunc | ||||||||||||||||||||
| 10 | GCD (Greatest Common Denominator) | GCD of 1 and 3 = | 1 | gcdFunc | ||||||||||||||||||||
| 11 | Basic Algebra | 3x + 9 = 9 | 0 | basicAlgebraFunc | ||||||||||||||||||||
| 12 | Logarithm | log3(2187) | 7 | logFunc | ||||||||||||||||||||
| 13 | Easy Division | 275/11 = | 25 | divisionToIntFunc | ||||||||||||||||||||
| 14 | Decimal to Binary | Binary of 87= | 1010111 | DecimalToBinaryFunc | ||||||||||||||||||||
| 15 | Binary to Decimal | 01111 | 15 | BinaryToDecimalFunc | ||||||||||||||||||||
| 16 | Fraction Division | (1/8)/(8/1) | 1/64 | divideFractionsFunc | ||||||||||||||||||||
| 17 | Integer Multiplication with 2x2 Matrix | 7 * 7, 6], [1, 4 = | 49,42],[7,28 | multiplyIntToMatrix22 | ||||||||||||||||||||
| 18 | Area of Triangle | Area of triangle with side lengths: 8 5 18 = | (3.3825325984308986e-15+55.24094948496088j) | areaOfTriangleFunc | ||||||||||||||||||||
| 19 | Triangle exists check | Does triangle with sides 22, 8 and 3 exist? | No | isTriangleValidFunc | ||||||||||||||||||||
| 20 | Midpoint of the two point | (17,-8),(-14,-2)= | (1.5,-5.0) | MidPointOfTwoPointFunc | ||||||||||||||||||||
| 21 | Factoring Quadratic | x^2+x-20 | (x+5)(x-4) | factoringFunc | ||||||||||||||||||||
| 22 | Third Angle of Triangle | Third angle of triangle with angles 36 and 55 = | 89 | thirdAngleOfTriangleFunc | ||||||||||||||||||||
| 23 | Solve a System of Equations in R^2 | 2x - 7y = 56, -8x + 2y = 36 | x = -7, y = -10 | systemOfEquationsFunc | ||||||||||||||||||||
| 24 | Distance between 2 points | Find the distance between (2, 19) and (3, 7) | sqrt(145) | distanceTwoPointsFunc | ||||||||||||||||||||
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 16 and 7 = | 17.46 | pythagoreanTheoremFunc | ||||||||||||||||||||
| 26 | Linear Equations | -14x + -15y = 219 | ||||||||||||||||||||||
| 8x = -48 | x = -6, y = -9 | linearEquationsFunc | ||||||||||||||||||||||
| 27 | Prime Factorisation | Find prime factors of 73 | [73] | primeFactorsFunc | ||||||||||||||||||||
| 28 | Fraction Multiplication | (8/10)*(6/5) | 24/25 | multiplyFractionsFunc | ||||||||||||||||||||
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 15 sides | 156.0 | regularPolygonAngleFunc | ||||||||||||||||||||
| 30 | Combinations of Objects | Number of combinations from 15 objects picked 8 at a time | 6435 | combinationsFunc | ||||||||||||||||||||
| 31 | Factorial | 4! = | 24 | factorialFunc | ||||||||||||||||||||
| 32 | Surface Area of Cube | Surface area of cube with side = 15m is | 1350 m^2 | surfaceAreaCube | ||||||||||||||||||||
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 18m, 11m, 19m is | 1498 m^2 | surfaceAreaCuboid | ||||||||||||||||||||
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 38m and radius = 16m is | 5428 m^2 | surfaceAreaCylinder | ||||||||||||||||||||
| 35 | Volum of Cube | Volume of cube with side = 5m is | 125 m^3 | volumeCube | ||||||||||||||||||||
| 36 | Volume of Cuboid | Volume of cuboid with sides = 3m, 11m, 3m is | 99 m^3 | volumeCuboid | ||||||||||||||||||||
| 37 | Volume of cylinder | Volume of cylinder with height = 20m and radius = 7m is | 3078 m^3 | volumeCylinder | ||||||||||||||||||||
| 38 | Surface Area of cone | Surface area of cone with height = 23m and radius = 2m is | 157 m^2 | surfaceAreaCone | ||||||||||||||||||||
| 39 | Volume of cone | Volume of cone with height = 44m and radius = 5m is | 1151 m^3 | volumeCone | ||||||||||||||||||||
| 40 | Common Factors | Common Factors of 99 and 93 = | [1, 3] | commonFactorsFunc | ||||||||||||||||||||
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 10/3x - 8 and y = -10x + 4 | (9/10, -5) | intersectionOfTwoLinesFunc | ||||||||||||||||||||
| 42 | Permutations | Number of Permutations from 19 objects picked 5 at a time = | 1395360 | permutationFunc | ||||||||||||||||||||
| 43 | Cross Product of 2 Vectors | [0, 2, -6] X [4, 13, 15] = | [108, -24, -8] | vectorCrossFunc | ||||||||||||||||||||
| 44 | Compare Fractions | Which symbol represents the comparison between 1/7 and 7/10? | < | compareFractionsFunc | ||||||||||||||||||||
| 45 | Simple Interest | Simple interest for a principle amount of 9501 dollars, 10% rate of interest and for a time period of 10 years is = | 9501.0 | simpleInterestFunc | ||||||||||||||||||||
| 46 | Multiplication of two matrices | Multiply
|
|
matrixMultiplicationFunc | ||||||||||||||||||||
| 47 | Cube Root | cuberoot of 100 upto 2 decimal places is: | 4.64 | cubeRootFunc | ||||||||||||||||||||
| 48 | Power Rule Integration | 9x^9 | (9/9)x^10 + c | powerRuleIntegrationFunc | ||||||||||||||||||||
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 29 , 84, 126 = | 121 | fourthAngleOfQuadriFunc | ||||||||||||||||||||
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 39x^2+176x+64=0 | [-0.4, -4.11] | quadraticEquation | ||||||||||||||||||||
| 51 | HCF (Highest Common Factor) | HCF of 7 and 9 = | 1 | 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 | 6^4 = | 1296 | exponentiationFunc | ||||||||||||||||||||
| 54 | Confidence interval For sample S | The confidence interval for sample [293, 222, 227, 237, 299, 265, 238, 273, 229, 236, 286, 243, 220, 233, 224, 226, 257, 285, 268, 271, 247, 262] with 90% confidence is | (260.4441418746136, 243.28313085265916) | confidenceIntervalFunc | ||||||||||||||||||||
| 55 | Comparing surds | Fill in the blanks 66^(1/5) _ 74^(1/6) | > | surdsComparisonFunc | ||||||||||||||||||||
| 56 | Fibonacci Series | The Fibonacci Series of the first 18 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597] | fibonacciSeriesFunc | ||||||||||||||||||||
| 57 | Trigonometric Values | What is sin(0)? | 0 | basicTrigonometryFunc | ||||||||||||||||||||
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 4 sides = | 360 | sumOfAnglesOfPolygonFunc | ||||||||||||||||||||
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[31, 20, 40, 14, 41, 42, 12, 18, 26, 41, 16, 48, 37, 30, 18] | The Mean is 28.933333333333334 , Standard Deviation is 134.86222222222221, Variance is 11.61301951355556 | dataSummaryFunc | ||||||||||||||||||||
| 60 | Surface Area of Sphere | Surface area of Sphere with radius = 16m is | 3216.990877275948 m^2 | surfaceAreaSphere | ||||||||||||||||||||
| 61 | Volume of Sphere | Volume of sphere with radius 10 m = | 4188.790204786391 m^3 | volumeSphereFunc | ||||||||||||||||||||
| 62 | nth Fibonacci number | What is the 65th Fibonacci number? | 17167680177565 | nthFibonacciNumberFunc | ||||||||||||||||||||
| 63 | Profit or Loss Percent | Loss percent when CP = 639 and SP = 20 is: | 96.87010954616588 | profitLossPercentFunc | ||||||||||||||||||||
| 64 | Binary to Hexidecimal | 10000010 | 0x82 | binaryToHexFunc | ||||||||||||||||||||
| 65 | Multiplication of 2 complex numbers | (-16-5j) * (13+4j) = | (-188-129j) | multiplyComplexNumbersFunc | ||||||||||||||||||||
| 66 | Geometric Progression | For the given GP [5, 30, 180, 1080, 6480, 38880] ,Find the value of a,common ratio,7th term value, sum upto 11th term | The value of a is 5, common ratio is 6 , 7th term is 233280 , sum upto 11th term is 362797055.0 | geomProgrFunc | ||||||||||||||||||||
| 67 | Geometric Mean of N Numbers | Geometric mean of 3 numbers 12 , 76 and 88 = | (127688)^(1/3) = 43.134606135637426 | geometricMeanFunc | ||||||||||||||||||||
| 68 | Harmonic Mean of N Numbers | Harmonic mean of 4 numbers 32 , 82 , 98 , 59 = | 4/((1/32) + (1/82) + (1/98) + (1/59)) = 56.658543052293126 | harmonicMeanFunc | ||||||||||||||||||||
| 69 | Euclidian norm or L2 norm of a vector | Euclidian norm or L2 norm of the vector[30.49374303007102, 744.9799127067523, 232.71392717506222, 219.07162873155772, 268.6667105157799, 655.700721848602, 630.8781230231998, 525.0331442958861, 603.1960329056955] is: | 1482.467804008134 | euclidianNormFunc | ||||||||||||||||||||
| 70 | Angle between 2 vectors | angle between the vectors [411.45287273810993, 475.5310005335923, 585.8235737751623, 654.4447552592987, 7.9372591993011055, 944.1669660662357, 82.85267978544842, 855.1153353684535, 401.897628624623, 208.74276524448533, 18.113378046332063, 329.92425644581766, 656.1658677733768] and [340.21944929120787, 595.8624349766976, 458.3226781953552, 460.8316651658132, 237.2935680919427, 562.2537489196774, 705.3352878976389, 21.91461098842251, 950.6814899692208, 879.1343421626799, 177.86771165838067, 867.0564995964864, 762.591298578088] is: | NaN | angleBtwVectorsFunc | ||||||||||||||||||||
| 71 | Absolute difference between two numbers | Absolute difference between numbers -22 and 85 = | 107 | absoluteDifferenceFunc | ||||||||||||||||||||
| 72 | Dot Product of 2 Vectors | [-4, -15, -19] . [-12, -18, -13] = | 565 | vectorDotFunc | ||||||||||||||||||||
| 73 | Binary 2's Complement | 2's complement of = | binary2sComplement | |||||||||||||||||||||
| 74 | Inverse of a Matrix | Inverse of Matrix Matrix(23, 14, 90], [15, 42, 7], [37, 19, 79) is: | Matrix(-3185/53919, -604/53919, 3682/53919], [926/53919, 1513/53919, -1189/53919], [47/1997, -3/1997, -28/1997) | matrixInversion | ||||||||||||||||||||
| 75 | Area of a Sector | Given radius, 32 and angle, 182. Find the area of the sector. | Area of sector = 1626.36761 | sectorAreaFunc | ||||||||||||||||||||
| 76 | Mean and Median | Given the series of numbers [83, 63, 31, 44, 12, 73, 42, 51, 93, 3]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 49.5 and Arithmetic median of this series is 47.5 | meanMedianFunc | ||||||||||||||||||||
| 77 | Determinant to 2x2 Matrix | Det(35, 67], [54, 48) = | -1938 | determinantToMatrix22 | ||||||||||||||||||||
| 78 | Compound Interest | Compound Interest for a principle amount of 4487 dollars, 5% rate of interest and for a time period of 9 compounded monthly is = | 4487.0 | compoundInterestFunc | ||||||||||||||||||||
| 79 | Decimal to Hexadecimal | Binary of 992= | 0x3e0 | deciToHexaFunc | ||||||||||||||||||||
| 80 | Percentage of a number | What is 37% of 83? | Required percentage = 30.71% | percentageFunc | ||||||||||||||||||||
| 81 | Celsius To Fahrenheit | Convert 15 degrees Celsius to degrees Fahrenheit = | 59.0 | celsiustofahrenheit | ||||||||||||||||||||
| 82 | AP Term Calculation | Find the term number 31 of the AP series: -53, -107, -161 ... | -1673 | arithmeticProgressionTermFunc | ||||||||||||||||||||
| 83 | AP Sum Calculation | Find the sum of first 56 terms of the AP series: -14, -24, -34 ... | -16184.0 | arithmeticProgressionSumFunc | ||||||||||||||||||||
| 84 | Converts decimal to octal | The decimal number 1430 in Octal is: | 0o2626 | decimalToOctalFunc | ||||||||||||||||||||
| 85 | Converts decimal to Roman Numerals | The number 3537 in Roman Numerals is: | MMMDXXXVII | decimalToRomanNumeralsFunc | ||||||||||||||||||||
| 86 | Degrees to Radians | Angle 87 in radians is = | 1.52 | degreeToRadFunc | ||||||||||||||||||||
| 87 | Radians to Degrees | Angle 3 in degrees is = | 171.89 | radianToDegFunc |