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Merge branch 'master' into swayam2

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Luke Weiler
2020-10-18 23:13:51 -04:00
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parent 63de4180dc 22b0aaa337
commit fedd2ce4dc
5 changed files with 400 additions and 273 deletions
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8
Makefile
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@@ -1,7 +1,11 @@
FLAKE_FLAGS = --ignore=E501,F401,F403,F405
IGNORE_ERRORS = E501,F401,F403,F405
PKG = mathgenerator
format:
python -m autopep8 --ignore=$(IGNORE_ERRORS) -i $(PKG)/*
lint:
python -m flake8 $(FLAKE_FLAGS)
python -m flake8 --ignore=$(IGNORE_ERRORS) $(PKG)
test:
python -m pytest --verbose -s tests

151
README.md
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@@ -30,93 +30,66 @@ problem, solution = mathgen.genById(0)
| Id | Skill | Example problem | Example Solution | Function Name |
|------|-----------------------------------|--------------------|-----------------------|--------------------------|
| 0 | Addition | 37+40= | 77 | addition |
| 1 | Subtraction | 69-59= | 10 | subtraction |
| 2 | Multiplication | 18*0= | 0 | multiplication |
| 3 | Division | 66/25= | 2.64 | division |
| 4 | Binary Complement 1s | 00 | 11 | binaryComplement1s |
| 5 | Modulo Division | 37%68= | 37 | moduloDivision |
| 6 | Square Root | sqrt(4)= | 2 | squareRoot |
| 7 | Power Rule Differentiation | 6x^3 + 7x^5 + 6x^4 | 18x^2 + 35x^4 + 24x^3 | powerRuleDifferentiation |
| 8 | Square | 19^2= | 361 | square |
| 9 | LCM (Least Common Multiple) | LCM of 8 and 4 = | 8 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 20 and 1 = | 1 | gcd |
| 11 | Basic Algebra | 9x + 7 = 10 | 1/3 | basicAlgebra |
| 12 | Logarithm | log3(9) | 2 | log |
| 13 | Easy Division | 48/24 = | 2 | intDivision |
| 14 | Decimal to Binary | Binary of 69= | 1000101 | decimalToBinary |
| 15 | Binary to Decimal | 0010101100 | 172 | binaryToDecimal |
| 16 | Fraction Division | (8/2)/(7/5) | 20/7 | fractionDivision |
| 17 | Integer Multiplication with 2x2 Matrix | 10 * [[0, 3], [10, 5]] = | [[0,30],[100,50]] | intMatrix22Multiplication |
| 18 | Area of Triangle | Area of triangle with side lengths: 16 1 19 = | (1.5148044320877339e-15+24.73863375370596j) | areaOfTriangle |
| 19 | Triangle exists check | Does triangle with sides 24, 25 and 24 exist? | Yes | doesTriangleExist |
| 20 | Midpoint of the two point | (-15,2),(12,-5)= | (-1.5,-1.5) | midPointOfTwoPoint |
| 21 | Factoring Quadratic | x^2-2x-3 | (x+1)(x-3) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 65 and 78 = | 37 | thirdAngleOfTriangle |
| 23 | Solve a System of Equations in R^2 | 2x - 8y = -58, 3x - 4y = -31 | x = -1, y = 7 | systemOfEquations |
| 24 | Distance between 2 points | Find the distance between (21, 15) and (7, -4) | sqrt(557) | distance2Point |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 20 and 20 = | 28.28 | pythagoreanTheorem |
| 26 | Linear Equations | -19x + -4y = 231
13x + 18y = -387 | x = -9, y = -15 | linearEquations |
| 27 | Prime Factorisation | Find prime factors of 185 | [5, 37] | primeFactors |
| 28 | Fraction Multiplication | (4/10)*(4/9) | 8/45 | fractionMultiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 17 sides | 158.82 | angleRegularPolygon |
| 30 | Combinations of Objects | Number of combinations from 10 objects picked 1 at a time | 10 | combinations |
| 31 | Factorial | 3! = | 6 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 16m is | 1536 m^2 | surfaceAreaCubeGen |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 6m, 7m, 17m is | 526 m^2 | surfaceAreaCuboidGen |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 19m and radius = 4m is | 578 m^2 | surfaceAreaCylinderGen |
| 35 | Volum of Cube | Volume of cube with side = 7m is | 343 m^3 | volumeCubeGen |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 1m, 17m, 18m is | 306 m^3 | volumeCuboidGen |
| 37 | Volume of cylinder | Volume of cylinder with height = 16m and radius = 10m is | 5026 m^3 | volumeCylinderGen |
| 38 | Surface Area of cone | Surface area of cone with height = 36m and radius = 3m is | 368 m^2 | surfaceAreaConeGen |
| 39 | Volume of cone | Volume of cone with height = 21m and radius = 6m is | 791 m^3 | volumeConeGen |
| 40 | Common Factors | Common Factors of 31 and 79 = | [1] | commonFactors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 5x and y = -8/3x - 7 | (-21/23, -105/23) | intersectionOfTwoLines |
| 42 | Permutations | Number of Permutations from 13 objects picked 3 at a time = | 1716 | permutations |
| 43 | Cross Product of 2 Vectors | [10, 11, -18] X [-2, 13, -2] = | [212, 56, 152] | vectorCross |
| 44 | Compare Fractions | Which symbol represents the comparison between 4/2 and 4/1? | < | compareFractions |
| 45 | Simple Interest | Simple interest for a principle amount of 5369 dollars, 1% rate of interest and for a time period of 9 years is = | 483.21 | simpleInterest |
| 46 | Multiplication of two matrices | Multiply
-16 87 100 -5 -69 97 -75 19
90 -83 -16 81 -30 64 -3 -96
-74 -66 48 99 35 6 -14 70
-24 67 -4 -95 4 51 31 -17
61 46 -72 66 -31 15 61 -31
84 63 78 -51 -11 -38 -68 -50
82 83 16 -100 17 2 8 -83
28 71 -68 -66 37 -84 79 32
and
50 -78 66 -8 -33 -61 -75 -18 -50
-98 10 -66 -53 -24 -36 62 -39 -35
86 -52 -49 47 62 0 -12 96 55
61 41 -77 -89 46 -44 50 4 -81
-12 -88 -88 9 83 62 60 -22 15
26 -3 44 -60 83 100 -35 97 26
-17 -93 -5 79 55 78 32 0 -45
-17 -54 -92 -48 -88 46 82 -22 12 | 3271 8443 -2346 -12616 937 -1490 -3233 16984 8750
19906 4214 20268 -4021 12861 -6176 -19662 9385 -8839
11719 1099 -19689 -6976 8029 7432 13014 7182 2782
-12865 -3615 4806 5149 2332 10216 -695 2288 6117
-3372 836 5371 -7056 210 -5371 -534 -6721 -17158
2773 -1963 5727 3403 -5201 -17234 -11486 971 3323
-7635 -8262 13038 9246 1015 -5530 -11796 -1931 926
-19947 -12723 -4715 8769 -12252 168 10130 -19731 -7079 | matrixMultiplication |
| 47 | Cube Root | cuberoot of 136 upto 2 decimal places is: | 5.14 | CubeRoot |
| 48 | Power Rule Integration | 9x^4 + 8x^6 + 2x^5 + 3x^10 + 2x^9 | (9/4)x^5 + (8/6)x^7 + (2/5)x^6 + (3/10)x^11 + (2/9)x^10 + c | powerRuleIntegration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 69 , 87, 120 = | 84 | fourthAngleOfQuadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 71x^2+188x+17=0 | [-0.09, -2.55] | quadraticEquationSolve |
| 51 | HCF (Highest Common Factor) | HCF of 3 and 16 = | 1 | hcf |
| 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 8 = | 21/216 | diceSumProbability |
| 53 | Exponentiation | 9^3 = | 729 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [203, 266, 261, 263, 262, 251, 267, 248, 208, 228, 215, 221, 282, 242, 272, 281, 289, 290, 285, 217, 213, 200, 292, 256, 232, 273, 295, 271, 211, 250, 231, 246, 277, 259, 283, 233] with 90% confidence is | (259.72847423786504, 244.32708131769053) | confidenceInterval |
| 55 | Comparing surds | Fill in the blanks 50^(1/7) _ 86^(1/5) | < | surdsComparison |
| 56 | Fibonacci Series | The Fibonacci Series of the first 3 numbers is ? | [0, 1, 1] | fibonacciSeries |
| 57 | Trigonometric Values | What is tan(45)? | 1 | basicTrigonometry |
| 0 | Addition | 42+2= | 44 | addition |
| 1 | Subtraction | 32-26= | 6 | subtraction |
| 2 | Multiplication | 77*1= | 77 | multiplication |
| 3 | Division | 66/9= | 7.333333333333333 | division |
| 4 | Binary Complement 1s | 1010000 | 0101111 | binaryComplement1s |
| 5 | Modulo Division | 61%35= | 26 | moduloDivision |
| 6 | Square Root | sqrt(1)= | 1 | squareRoot |
| 7 | Power Rule Differentiation | 5x^5 | 25x^4 | powerRuleDifferentiation |
| 8 | Square | 20^2= | 400 | square |
| 9 | LCM (Least Common Multiple) | LCM of 19 and 5 = | 95 | lcm |
| 10 | GCD (Greatest Common Denominator) | GCD of 10 and 11 = | 1 | gcd |
| 11 | Basic Algebra | 3x + 7 = 8 | 1/3 | basicAlgebra |
| 12 | Logarithm | log2(128) | 7 | log |
| 13 | Easy Division | 306/18 = | 17 | intDivision |
| 14 | Decimal to Binary | Binary of 28= | 11100 | decimalToBinary |
| 15 | Binary to Decimal | 10001101 | 141 | binaryToDecimal |
| 16 | Fraction Division | (4/1)/(6/3) | 2 | fractionDivision |
| 17 | Integer Multiplication with 2x2 Matrix | 5 * [[10, 3], [0, 1]] = | [[50,15],[0,5]] | intMatrix22Multiplication |
| 18 | Area of Triangle | Area of triangle with side lengths: 13 2 14 = | 11.659223816361019 | areaOfTriangle |
| 19 | Triangle exists check | Does triangle with sides 3, 4 and 25 exist? | No | doesTriangleExist |
| 20 | Midpoint of the two point | (4,-11),(17,-5)= | (10.5,-8.0) | midPointOfTwoPoint |
| 21 | Factoring Quadratic | x^2-12x+35 | (x-7)(x-5) | factoring |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 20 and 62 = | 98 | thirdAngleOfTriangle |
| 23 | Solve a System of Equations in R^2 | 5x - 7y = -84, 4x + 5y = 7 | x = -7, y = 7 | systemOfEquations |
| 24 | Distance between 2 points | Find the distance between (5, -18) and (1, 19) | sqrt(1385) | distance2Point |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 15 and 5 = | 15.81 | pythagoreanTheorem |
| 26 | Linear Equations | -6x + -17y = -220
-13x + -19y = -120 | x = -20, y = 20 | linearEquations |
| 27 | Prime Factorisation | Find prime factors of 62 | [2, 31] | primeFactors |
| 28 | Fraction Multiplication | (8/4)*(1/2) | 1 | fractionMultiplication |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 19 sides | 161.05 | angleRegularPolygon |
| 30 | Combinations of Objects | Number of combinations from 12 objects picked 1 at a time | 12 | combinations |
| 31 | Factorial | 0! = | 1 | factorial |
| 32 | Surface Area of Cube | Surface area of cube with side = 8m is | 384 m^2 | surfaceAreaCubeGen |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 18m, 17m, 1m is | 682 m^2 | surfaceAreaCuboidGen |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 31m and radius = 1m is | 201 m^2 | surfaceAreaCylinderGen |
| 35 | Volum of Cube | Volume of cube with side = 9m is | 729 m^3 | volumeCubeGen |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 20m, 1m, 10m is | 200 m^3 | volumeCuboidGen |
| 37 | Volume of cylinder | Volume of cylinder with height = 7m and radius = 7m is | 1077 m^3 | volumeCylinderGen |
| 38 | Surface Area of cone | Surface area of cone with height = 47m and radius = 13m is | 2522 m^2 | surfaceAreaConeGen |
| 39 | Volume of cone | Volume of cone with height = 4m and radius = 4m is | 67 m^3 | volumeConeGen |
| 40 | Common Factors | Common Factors of 20 and 90 = | [1, 2, 5, 10] | commonFactors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -3/6x + 1 and y = 0/2x + 6 | (-10, 6) | intersectionOfTwoLines |
| 42 | Permutations | Number of Permutations from 11 objects picked 2 at a time = | 110 | permutations |
| 43 | Cross Product of 2 Vectors | [-19, -3, 2] X [-15, -12, 7] = | [3, 103, 183] | vectorCross |
| 44 | Compare Fractions | Which symbol represents the comparison between 8/6 and 3/1? | < | compareFractions |
| 45 | Simple Interest | Simple interest for a principle amount of 9862 dollars, 4% rate of interest and for a time period of 1 years is = | 394.48 | simpleInterest |
| 46 | Multiplication of two matrices | Multiply <table><tr><td>-50</td><td>36</td><td>7</td><td>-26</td><td>-2</td><td>63</td></tr><tr><td>88</td><td>-37</td><td>60</td><td>-19</td><td>61</td><td>-56</td></tr><tr><td>48</td><td>-5</td><td>69</td><td>-87</td><td>-64</td><td>-92</td></tr><tr><td>-84</td><td>-50</td><td>-79</td><td>-19</td><td>86</td><td>-13</td></tr><tr><td>0</td><td>28</td><td>12</td><td>-14</td><td>73</td><td>-49</td></tr><tr><td>94</td><td>-90</td><td>2</td><td>26</td><td>-38</td><td>19</td></tr><tr><td>2</td><td>-11</td><td>79</td><td>-77</td><td>98</td><td>-77</td></tr><tr><td>-87</td><td>70</td><td>72</td><td>-32</td><td>64</td><td>-99</td></tr></table> and <table><tr><td>34</td><td>32</td><td>-6</td><td>-32</td><td>46</td><td>-23</td><td>78</td><td>-81</td><td>-18</td></tr><tr><td>-17</td><td>24</td><td>49</td><td>-62</td><td>-50</td><td>77</td><td>38</td><td>-98</td><td>-64</td></tr><tr><td>-23</td><td>-78</td><td>43</td><td> 5</td><td>-83</td><td>-5</td><td> 4</td><td>-92</td><td>-16</td></tr><tr><td> 46</td><td>-47</td><td>-92</td><td>52</td><td>-25</td><td>-37</td><td>44</td><td>51</td><td>-7</td></tr><tr><td> 20</td><td>26</td><td>70</td><td>37</td><td>96</td><td>-73</td><td>49</td><td>84</td><td>42</td></tr><tr><td>-72</td><td>-15</td><td>-80</td><td>-24</td><td>58</td><td>-47</td><td>-41</td><td>45</td><td>-69</td></tr></table>| <table><tr><td>-8245</td><td>-1057</td><td>-423</td><td>-3535</td><td>-569</td><td>2034</td><td>-6329</td><td>1219</td><td>-5765</td></tr><tr><td>6619</td><td> 567</td><td>10737</td><td>2391</td><td>4001</td><td>-6291</td><td>10147</td><td>-7387</td><td>6383</td></tr><tr><td>1472</td><td>-161</td><td>13318</td><td>-5565<td>-12574</td><td>10381</td><td> 638<td>-23699</td><td>2621</td></tr><tr><td>1593</td><td>5598</td><td>3465</td><td>7899</td><td>13170</td><td>-6487</td><td>-4857</td><td>24642</td><td>10618</td></tr><tr><td>3592</td><td>3027</td><td>12206</td><td>1473</td><td>2120</td><td>-412</td><td>6082</td><td>-635</td><td>4561</td></tr><tr><td>3748</td><td>-1803<td>-11460</td><td>2072</td><td>5462</td><td>-8183</td><td>2423</td><td>11</td><td> 947</td></tr><tr><td>2400</td><td> 960</td><td>22950</td><td>2483</td><td> 952</td><td>-1974</td><td>4625</td><td>-5512</td><td>9372</td></tr><tr><td>1132</td><td>-2067</td><td>22392</td><td>1884<td>-12276</td><td>8196</td><td>1949</td><td>-7148</td><td>5677</td></tr></table> | matrixMultiplication |
| 47 | Cube Root | cuberoot of 771 upto 2 decimal places is: | 9.17 | CubeRoot |
| 48 | Power Rule Integration | 1x^3 + 8x^8 + 10x^10 | (1/3)x^4 + (8/8)x^9 + (10/10)x^11 + c | powerRuleIntegration |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 52 , 84, 154 = | 70 | fourthAngleOfQuadrilateral |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 51x^2+152x+80=0 | [-0.68, -2.3] | quadraticEquationSolve |
| 51 | HCF (Highest Common Factor) | HCF of 11 and 7 = | 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 11 = | 2/36 | diceSumProbability |
| 53 | Exponentiation | 9^9 = | 387420489 | exponentiation |
| 54 | Confidence interval For sample S | The confidence interval for sample [291, 254, 274, 207, 253, 289, 268, 280, 225, 240, 278, 270, 247, 252, 211, 212, 295, 241, 290, 206, 222, 263, 264, 228, 229, 256, 209, 292] with 99% confidence is | (265.560249263099, 237.72546502261523) | confidenceInterval |
| 55 | Comparing surds | Fill in the blanks 16^(1/7) _ 67^(1/6) | < | surdsComparison |
| 56 | Fibonacci Series | The Fibonacci Series of the first 11 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55] | fibonacciSeries |
| 57 | Trigonometric Values | What is cos(60)? | 1/2 | basicTrigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 5 sides = | 540 | sumOfAnglesOfPolygon |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[10, 25, 12, 26, 15, 13, 41, 25, 50, 13, 20, 22, 42, 36, 22] | The Mean is 24.8 , Standard Deviation is 141.09333333333333, Variance is 11.87827147918978 | dataSummary |
| 59 | Surface Area of Sphere | Surface area of Sphere with radius = 5m is | 314.1592653589793 m^2 | surfaceAreaSphereGen |
| 60 | Volume of Sphere | Volume of sphere with radius 70 m = | 1436755.0402417318 m^3 | volumeSphere |
| 61 | Geometric Mean of N Numbers | Geometric mean of 2 numbers 9 and 5 = | (9*5)^(1/2) = 6.708203932499369 | geometricMean |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[38, 29, 43, 25, 7, 10, 13, 14, 43, 44, 30, 42, 48, 48, 42] | The Mean is 31.733333333333334 , Standard Deviation is 199.26222222222222, Variance is 14.116027140177303 | dataSummary |
| 59 | Surface Area of Sphere | Surface area of Sphere with radius = 13m is | 2123.7166338267 m^2 | surfaceAreaSphereGen |
| 60 | Volume of Sphere | Volume of sphere with radius 84 m = | 2482712.7095377133 m^3 | volumeSphere |

1
dev-requirements.txt
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@@ -1,3 +1,4 @@
pytest
hypothesis
flake8
autopep8

339
mathgenerator/mathgen.py
View File

@@ -4,7 +4,6 @@ import fractions
genList = []
# || Generator class
class Generator:
def __init__(self, title, id, generalProb, generalSol, func):
@@ -36,7 +35,8 @@ def getGenList():
def additionFunc(maxSum=99, maxAddend=50):
a = random.randint(0, maxAddend)
b = random.randint(0, min((maxSum - a), maxAddend)) # The highest value of b will be no higher than the maxsum minus the first number and no higher than the maxAddend as well
# The highest value of b will be no higher than the maxsum minus the first number and no higher than the maxAddend as well
b = random.randint(0, min((maxSum - a), maxAddend))
c = a + b
problem = str(a) + "+" + str(b) + "="
solution = str(c)
@@ -248,7 +248,8 @@ def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20):
c = random.randint(1, maxC)
s = (a + b + c) / 2
area = (s * (s - a) * (s - b) * (s - c)) ** 0.5
problem = "Area of triangle with side lengths: " + str(a) + " " + str(b) + " " + str(c) + " = "
problem = "Area of triangle with side lengths: " + \
str(a) + " " + str(b) + " " + str(c) + " = "
solution = area
return problem, solution
@@ -259,7 +260,8 @@ def isTriangleValidFunc(maxSideLength=50):
sideC = random.randint(1, maxSideLength)
sideSums = [sideA + sideB, sideB + sideC, sideC + sideA]
sides = [sideC, sideA, sideB]
exists = True & (sides[0] < sideSums[0]) & (sides[1] < sideSums[1]) & (sides[2] < sideSums[2])
exists = True & (sides[0] < sideSums[0]) & (
sides[1] < sideSums[1]) & (sides[2] < sideSums[2])
problem = f"Does triangle with sides {sideA}, {sideB} and {sideC} exist?"
if exists:
solution = "Yes"
@@ -352,7 +354,8 @@ def systemOfEquationsFunc(range_x=10, range_y=10, coeff_mult_range=10):
# No redundant 1s
y_coeff = abs(coeffs[1]) if abs(coeffs[1]) != 1 else ''
# Don't include if 0, unless x is also 0 (probably never happens)
y_str = f'{y_coeff}y' if coeffs[1] != 0 else ('' if x_str != '' else '0')
y_str = f'{y_coeff}y' if coeffs[1] != 0 else (
'' if x_str != '' else '0')
return f'{x_str}{op}{y_str} = {coeffs[2]}'
problem = f"{coeffToFuncString(new_c1)}, {coeffToFuncString(new_c2)}"
@@ -372,7 +375,6 @@ def distanceTwoPointsFunc(maxValXY=20, minValXY=-20):
problem = f"Find the distance between ({point1X}, {point1Y}) and ({point2X}, {point2Y})"
return problem, solution
def pythagoreanTheoremFunc(maxLength=20):
a = random.randint(1, maxLength)
b = random.randint(1, maxLength)
@@ -391,7 +393,8 @@ def linearEquationsFunc(n=2, varRange=20, coeffRange=20):
soln = [random.randint(-varRange, varRange) for i in range(n)]
problem = list()
solution = ", ".join(["{} = {}".format(vars[i], soln[i]) for i in range(n)])
solution = ", ".join(["{} = {}".format(vars[i], soln[i])
for i in range(n)])
for _ in range(n):
coeff = [random.randint(-coeffRange, coeffRange) for i in range(n)]
res = sum([coeff[i] * soln[i] for i in range(n)])
@@ -469,7 +472,8 @@ def combinationsFunc(maxlength=20):
b = random.randint(0, 9)
solution = int(factorial(a) / (factorial(b) * factorial(a - b)))
problem = "Number of combinations from {} objects picked {} at a time ".format(a, b)
problem = "Number of combinations from {} objects picked {} at a time ".format(
a, b)
return problem, solution
@@ -615,8 +619,10 @@ def intersectionOfTwoLinesFunc(
x = f"{x.numerator}/{x.denominator}"
return x
m1 = (random.randint(minM, maxM), random.randint(minDenominator, maxDenominator))
m2 = (random.randint(minM, maxM), random.randint(minDenominator, maxDenominator))
m1 = (random.randint(minM, maxM), random.randint(
minDenominator, maxDenominator))
m2 = (random.randint(minM, maxM), random.randint(
minDenominator, maxDenominator))
b1 = random.randint(minB, maxB)
b2 = random.randint(minB, maxB)
equation1 = generateEquationString(m1, b1)
@@ -642,7 +648,8 @@ def permutationFunc(maxlength=20):
a = random.randint(10, maxlength)
b = random.randint(0, 9)
solution = int(math.factorial(a) / (math.factorial(a - b)))
problem = "Number of Permutations from {} objects picked {} at a time = ".format(a, b)
problem = "Number of Permutations from {} objects picked {} at a time = ".format(
a, b)
return problem, solution
@@ -685,7 +692,8 @@ def simpleInterestFunc(maxPrinciple=10000, maxRate=10, maxTime=10):
b = random.randint(1, maxRate)
c = random.randint(1, maxTime)
d = (a * b * c) / 100
problem = "Simple interest for a principle amount of " + str(a) + " dollars, " + str(b) + "% rate of interest and for a time period of " + str(c) + " years is = "
problem = "Simple interest for a principle amount of " + str(a) + " dollars, " + str(
b) + "% rate of interest and for a time period of " + str(c) + " years is = "
solution = round(d, 2)
return problem, solution
@@ -718,7 +726,8 @@ def matrixMultiplicationFunc(maxVal=100):
for t in range(n):
temp += a[r][t] * b[t][c]
res[r].append(temp)
problem = f"Multiply \n{a_string}\n and \n\n{b_string}" # consider using a, b instead of a_string, b_string if the problem doesn't look right
# consider using a, b instead of a_string, b_string if the problem doesn't look right
problem = f"Multiply \n{a_string}\n and \n\n{b_string}"
solution = matrixMultiplicationFuncHelper(res)
return problem, solution
@@ -754,34 +763,43 @@ def powerRuleIntegrationFunc(maxCoef=10, maxExp=10, maxTerms=5):
coefficient = random.randint(1, maxCoef)
exponent = random.randint(1, maxExp)
problem += str(coefficient) + "x^" + str(exponent)
solution += "(" + str(coefficient) + "/" + str(exponent) + ")x^" + str(exponent + 1)
solution += "(" + str(coefficient) + "/" + \
str(exponent) + ")x^" + str(exponent + 1)
solution = solution + " + c"
return problem, solution
def fourthAngleOfQuadriFunc(maxAngle=180):
angle1 = random.randint(1, maxAngle)
angle2 = random.randint(1, 240 - angle1)
angle3 = random.randint(1, 340 - (angle1 + angle2))
sum_ = angle1 + angle2 + angle3
angle4 = 360 - sum_
problem = f"Fourth angle of quadrilateral with angles {angle1} , {angle2}, {angle3} ="
solution = angle4
def fourthAngleOfQuadriFunc(total=360):
def rand_anglesquad():
a=180
b=0
c=0
d=0
while(c==0 or d==0):
a=random.randint(1, total-20)
b=random.randint(1, total-a-10)
c=random.randint(1, total-a-b)
d=total-a-b-c
return a, b, c, d
a, b, c, d=rand_anglesquad()
problem="Fourth angle of a quadrilateral with three angles {}, {}, {} (in degrees)".format(a, b, c)
solution=d
return problem, solution
def quadraticEquation(maxVal=100):
a = random.randint(1, maxVal)
c = random.randint(1, maxVal)
b = random.randint(round(math.sqrt(4 * a * c)) + 1, round(math.sqrt(4 * maxVal * maxVal)))
b = random.randint(round(math.sqrt(4 * a * c)) + 1,
round(math.sqrt(4 * maxVal * maxVal)))
problem = "Zeros of the Quadratic Equation {}x^2+{}x+{}=0".format(a, b, c)
D = math.sqrt(b * b - 4 * a * c)
solution = str([round((-b + D) / (2 * a), 2), round((-b - D) / (2 * a), 2)])
solution = str([round((-b + D) / (2 * a), 2),
round((-b - D) / (2 * a), 2)])
return problem, solution
def hcfFunc(maxVal=20):
a = random.randint(1, maxVal)
b = random.randint(1, maxVal)
@@ -792,6 +810,7 @@ def hcfFunc(maxVal=20):
solution = str(x)
return problem, solution
def DiceSumProbFunc(maxDice=3):
a = random.randint(1, maxDice)
b = random.randint(a, 6 * a)
@@ -809,10 +828,12 @@ def DiceSumProbFunc(maxDice=3):
for k in [1, 2, 3, 4, 5, 6]:
if i + j + k == b:
count = count + 1
problem = "If {} dice are rolled at the same time, the probability of getting a sum of {} =".format(a,b)
problem = "If {} dice are rolled at the same time, the probability of getting a sum of {} =".format(
a, b)
solution = "{}/{}".format(count, 6**a)
return problem, solution
def exponentiationFunc(maxBase=20, maxExpo=10):
base = random.randint(1, maxBase)
expo = random.randint(1, maxExpo)
@@ -820,6 +841,7 @@ def exponentiationFunc(maxBase = 20,maxExpo = 10):
solution = str(base ** expo)
return problem, solution
def confidenceIntervalFunc():
n = random.randint(20, 40)
j = random.randint(0, 3)
@@ -837,10 +859,12 @@ def confidenceIntervalFunc():
sd = x
sd = sd / n
standard_error = lst_t[j] * math.sqrt(sd / n)
problem= 'The confidence interval for sample {} with {}% confidence is'.format([x for x in lst], lst_per[j])
problem = 'The confidence interval for sample {} with {}% confidence is'.format(
[x for x in lst], lst_per[j])
solution = '({}, {})'.format(mean + standard_error, mean - standard_error)
return problem, solution
def surdsComparisonFunc(maxValue=100, maxRoot=10):
radicand1, radicand2 = tuple(random.sample(range(1, maxValue), 2))
degree1, degree2 = tuple(random.sample(range(1, maxRoot), 2))
@@ -854,34 +878,41 @@ def surdsComparisonFunc(maxValue = 100, maxRoot = 10):
solution = "<"
return problem, solution
def fibonacciSeriesFunc(minNo=1):
n = random.randint(minNo, 20)
def createFibList(n):
l=[]
fibList = []
for i in range(n):
if i < 2:
l.append(i)
fibList.append(i)
else:
val = l[i-1]+l[i-2]
l.append(val)
return l
val = fibList[i - 1] + fibList[i - 2]
fibList.append(val)
return fibList
fibList = createFibList(n)
problem = "The Fibonacci Series of the first " + str(n) + " numbers is ?"
solution = fibList
return problem, solution
def basicTrigonometryFunc(angles=[0,30,45,60,90],functions=["sin","cos","tan"]): #Handles degrees in quadrant one
# Handles degrees in quadrant one
def basicTrigonometryFunc(angles=[0, 30, 45, 60, 90], functions=["sin", "cos", "tan"]):
angle = random.choice(angles)
function = random.choice(functions)
problem = f"What is {function}({angle})?"
expression = 'math.' + function + '(math.radians(angle))'
result_fraction_map={0.0:"0",0.5:"1/2",0.71:"1/√2",0.87:"√3/2",1.0:"1",0.58:"1/√3",1.73:"√3"}
result_fraction_map = {0.0: "0", 0.5: "1/2", 0.71: "1/√2",
0.87: "√3/2", 1.0: "1", 0.58: "1/√3", 1.73: "√3"}
solution=result_fraction_map[round(eval(expression),2)] if round(eval(expression),2)<=99999 else "∞" #for handling the ∞ condition
solution = result_fraction_map[round(eval(expression), 2)] if round(
eval(expression), 2) <= 99999 else "∞" # for handling the ∞ condition
return problem, solution
def sumOfAnglesOfPolygonFunc(maxSides=12):
side = random.randint(3, maxSides)
sum = (side - 2) * 180
@@ -889,6 +920,7 @@ def sumOfAnglesOfPolygonFunc(maxSides = 12):
solution = sum
return problem, solution
def dataSummaryFunc(number_values=15, minval=5, maxval=50):
random_list = []
for i in range(number_values):
@@ -899,29 +931,85 @@ def dataSummaryFunc(number_values=15,minval=5,maxval=50):
var = 0
for i in range(number_values):
var+=(random_list[i]-mean)**2
print(random_list)
print(mean)
print(var/number_values)
print((var/number_values)**0.5)
problem="Find the mean,standard deviation and variance for the data"+str(random_list)
solution="The Mean is {} , Standard Deviation is {}, Variance is {}".format(mean,var/number_values,(var/number_values)**0.5)
return problem,solution
def surfaceAreaSphere(maxSide=20, unit='m'):
r = random.randint(1, maxSide)
problem = f"Surface area of Sphere with radius = {r}{unit} is"
ans = 4 * math.pi * r * r
solution = f"{ans} {unit}^2"
return problem, solution
def volumeSphereFunc(maxRadius = 100):
r=random.randint(1,maxRadius)
problem=f"Volume of sphere with radius {r} m = "
ans=(4*math.pi/3)*r*r*r
solution = f"{ans} m^3"
return problem,solution
def geometricMeanFunc(maxValue=100, maxNum=4):
def volumeSphereFunc(maxRadius=100):
r = random.randint(1, maxRadius)
problem = f"Volume of sphere with radius {r} m = "
ans = (4 * math.pi / 3) * r * r * r
solution = f"{ans} m^3"
return problem,solution
def nthFibonacciNumber(maxN = 100):
golden_ratio = (1 + math.sqrt(5))/2
n = random.randint(1,maxN)
problem = f"What is the {n}th Fibonacci number?"
ans = round((math.pow(golden_ratio,n) - math.pow(-golden_ratio,-n))/(math.sqrt(5)))
solution = f"{ans}"
return problem, solution
def profitLossPercentFunc(maxCP = 1000, maxSP = 1000):
cP = random.randint(1, maxCP)
sP = random.randint(1, maxSP)
diff = abs(sP-cP)
if (sP-cP >= 0):
profitOrLoss = "Profit"
else:
profitOrLoss = "Loss"
percent = diff/cP * 100
problem = f"{profitOrLoss} percent when CP = {cP} and SP = {sP} is: "
solution = percent
def BinaryToHexFunc(max_dig=10):
problem = ''
for i in range(random.randint(1, max_dig)):
temp = str(random.randint(0, 1))
problem += temp
solution = hex(int(problem, 2))
return problem, solution
def multiplyComplexNumbersFunc(minRealImaginaryNum = -20, maxRealImaginaryNum = 20):
num1 = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum), random.randint(minRealImaginaryNum, maxRealImaginaryNum))
num2 = complex(random.randint(minRealImaginaryNum, maxRealImaginaryNum), random.randint(minRealImaginaryNum, maxRealImaginaryNum))
problem = f"{num1} * {num2} = "
solution = num1 * num2
return problem, solution
def GeomProgrFunc(number_values=6, min_value=2, max_value=12, n_term=7, sum_term=5):
r=random.randint(min_value,max_value)
a=random.randint(min_value,max_value)
n_term=random.randint(number_values,number_values+5)
sum_term=random.randint(number_values,number_values+5)
GP=[]
for i in range(number_values):
GP.append(a*(r**i))
problem="For the given GP "+str(GP)+" ,Find the value of a,common ratio,"+str(n_term)+"th term value, sum upto "+str(sum_term)+"th term"
value_nth_term=a*(r**(n_term-1))
sum_till_nth_term=a*((r**sum_term-1)/(r-1))
solution="The value of a is {}, common ratio is {} , {}th term is {} , sum upto {}th term is {}".format(a,r,n_term,value_nth_term,sum_term,sum_till_nth_term)
return problem,solution
def geometricMeanFunc(maxValue=100, maxNum=4):
a=random.randint(1,maxValue)
b=random.randint(1,maxValue)
c=random.randint(1,maxValue)
@@ -948,68 +1036,129 @@ def geometricMeanFunc(maxValue=100, maxNum=4):
# || Class Instances
# Format is:
# <title> = Generator("<Title>", <id>, <generalized problem>, <generalized solution>, <function name>)
addition = Generator("Addition", 0, "a+b=", "c", additionFunc)
subtraction = Generator("Subtraction", 1, "a-b=", "c", subtractionFunc)
multiplication = Generator("Multiplication", 2, "a*b=", "c", multiplicationFunc)
multiplication = Generator(
"Multiplication", 2, "a*b=", "c", multiplicationFunc)
division = Generator("Division", 3, "a/b=", "c", divisionFunc)
binaryComplement1s = Generator("Binary Complement 1s", 4, "1010=", "0101", binaryComplement1sFunc)
binaryComplement1s = Generator(
"Binary Complement 1s", 4, "1010=", "0101", binaryComplement1sFunc)
moduloDivision = Generator("Modulo Division", 5, "a%b=", "c", moduloFunc)
squareRoot = Generator("Square Root", 6, "sqrt(a)=", "b", squareRootFunc)
powerRuleDifferentiation = Generator("Power Rule Differentiation", 7, "nx^m=", "(n*m)x^(m-1)", powerRuleDifferentiationFunc)
powerRuleDifferentiation = Generator(
"Power Rule Differentiation", 7, "nx^m=", "(n*m)x^(m-1)", powerRuleDifferentiationFunc)
square = Generator("Square", 8, "a^2", "b", squareFunc)
lcm = Generator("LCM (Least Common Multiple)", 9, "LCM of a and b = ", "c", lcmFunc)
gcd = Generator("GCD (Greatest Common Denominator)", 10, "GCD of a and b = ", "c", gcdFunc)
basicAlgebra = Generator("Basic Algebra", 11, "ax + b = c", "d", basicAlgebraFunc)
lcm = Generator("LCM (Least Common Multiple)", 9,
"LCM of a and b = ", "c", lcmFunc)
gcd = Generator("GCD (Greatest Common Denominator)",
10, "GCD of a and b = ", "c", gcdFunc)
basicAlgebra = Generator(
"Basic Algebra", 11, "ax + b = c", "d", basicAlgebraFunc)
log = Generator("Logarithm", 12, "log2(8)", "3", logFunc)
intDivision = Generator("Easy Division", 13, "a/b=", "c", divisionToIntFunc)
decimalToBinary = Generator("Decimal to Binary", 14, "Binary of a=", "b", DecimalToBinaryFunc)
binaryToDecimal = Generator("Binary to Decimal", 15, "Decimal of a=", "b", BinaryToDecimalFunc)
fractionDivision = Generator("Fraction Division", 16, "(a/b)/(c/d)=", "x/y", divideFractionsFunc)
intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix", 17, "k * [[a,b],[c,d]]=", "[[k*a,k*b],[k*c,k*d]]", multiplyIntToMatrix22)
areaOfTriangle = Generator("Area of Triangle", 18, "Area of Triangle with side lengths a, b, c = ", "area", areaOfTriangleFunc)
doesTriangleExist = Generator("Triangle exists check", 19, "Does triangle with sides a, b and c exist?", "Yes/No", isTriangleValidFunc)
midPointOfTwoPoint = Generator("Midpoint of the two point", 20, "((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)", MidPointOfTwoPointFunc)
factoring = Generator("Factoring Quadratic", 21, "x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2)", factoringFunc)
thirdAngleOfTriangle = Generator("Third Angle of Triangle", 22, "Third Angle of the triangle = ", "angle3", thirdAngleOfTriangleFunc)
systemOfEquations = Generator("Solve a System of Equations in R^2", 23, "2x + 5y = 13, -3x - 3y = -6", "x = -1, y = 3",systemOfEquationsFunc)
distance2Point = Generator("Distance between 2 points", 24, "Find the distance between (x1,y1) and (x2,y2)", "sqrt(distanceSquared)", distanceTwoPointsFunc)
pythagoreanTheorem = Generator("Pythagorean Theorem", 25, "The hypotenuse of a right triangle given the other two lengths a and b = ", "hypotenuse", pythagoreanTheoremFunc)
linearEquations = Generator("Linear Equations", 26, "2x+5y=20 & 3x+6y=12", "x=-20 & y=12", linearEquationsFunc) # This has multiple variables whereas #23 has only x and y
primeFactors = Generator("Prime Factorisation", 27, "Prime Factors of a =", "[b, c, d, ...]", primeFactorsFunc)
fractionMultiplication = Generator("Fraction Multiplication", 28, "(a/b)*(c/d)=", "x/y", multiplyFractionsFunc)
angleRegularPolygon = Generator("Angle of a Regular Polygon", 29, "Find the angle of a regular polygon with 6 sides", "120", regularPolygonAngleFunc)
combinations = Generator("Combinations of Objects", 30, "Combinations available for picking 4 objects at a time from 6 distinct objects =", " 15", combinationsFunc)
decimalToBinary = Generator("Decimal to Binary", 14,
"Binary of a=", "b", DecimalToBinaryFunc)
binaryToDecimal = Generator("Binary to Decimal", 15,
"Decimal of a=", "b", BinaryToDecimalFunc)
fractionDivision = Generator(
"Fraction Division", 16, "(a/b)/(c/d)=", "x/y", divideFractionsFunc)
intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix",
17, "k * [[a,b],[c,d]]=", "[[k*a,k*b],[k*c,k*d]]", multiplyIntToMatrix22)
areaOfTriangle = Generator(
"Area of Triangle", 18, "Area of Triangle with side lengths a, b, c = ", "area", areaOfTriangleFunc)
doesTriangleExist = Generator("Triangle exists check", 19,
"Does triangle with sides a, b and c exist?", "Yes/No", isTriangleValidFunc)
midPointOfTwoPoint = Generator("Midpoint of the two point", 20,
"((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)", MidPointOfTwoPointFunc)
factoring = Generator("Factoring Quadratic", 21,
"x^2+(x1+x2)+x1*x2", "(x-x1)(x-x2)", factoringFunc)
thirdAngleOfTriangle = Generator("Third Angle of Triangle", 22,
"Third Angle of the triangle = ", "angle3", thirdAngleOfTriangleFunc)
systemOfEquations = Generator("Solve a System of Equations in R^2", 23,
"2x + 5y = 13, -3x - 3y = -6", "x = -1, y = 3", systemOfEquationsFunc)
distance2Point = Generator("Distance between 2 points", 24,
"Find the distance between (x1,y1) and (x2,y2)", "sqrt(distanceSquared)", distanceTwoPointsFunc)
pythagoreanTheorem = Generator(
"Pythagorean Theorem", 25, "The hypotenuse of a right triangle given the other two lengths a and b = ", "hypotenuse", pythagoreanTheoremFunc)
# This has multiple variables whereas #23 has only x and y
linearEquations = Generator(
"Linear Equations", 26, "2x+5y=20 & 3x+6y=12", "x=-20 & y=12", linearEquationsFunc)
primeFactors = Generator("Prime Factorisation", 27,
"Prime Factors of a =", "[b, c, d, ...]", primeFactorsFunc)
fractionMultiplication = Generator(
"Fraction Multiplication", 28, "(a/b)*(c/d)=", "x/y", multiplyFractionsFunc)
angleRegularPolygon = Generator("Angle of a Regular Polygon", 29,
"Find the angle of a regular polygon with 6 sides", "120", regularPolygonAngleFunc)
combinations = Generator("Combinations of Objects", 30,
"Combinations available for picking 4 objects at a time from 6 distinct objects =", " 15", combinationsFunc)
factorial = Generator("Factorial", 31, "a! = ", "b", factorialFunc)
surfaceAreaCubeGen = Generator("Surface Area of Cube", 32, "Surface area of cube with side a units is", "b units^2", surfaceAreaCube)
surfaceAreaCuboidGen = Generator("Surface Area of Cuboid", 33, "Surface area of cuboid with sides = a units, b units, c units is", "d units^2", surfaceAreaCuboid)
surfaceAreaCylinderGen = Generator("Surface Area of Cylinder", 34, "Surface area of cylinder with height = a units and radius = b units is", "c units^2", surfaceAreaCylinder)
volumeCubeGen = Generator("Volum of Cube", 35, "Volume of cube with side a units is", "b units^3", volumeCube)
volumeCuboidGen = Generator("Volume of Cuboid", 36, "Volume of cuboid with sides = a units, b units, c units is", "d units^3", volumeCuboid)
volumeCylinderGen = Generator("Volume of cylinder", 37, "Volume of cylinder with height = a units and radius = b units is", "c units^3", volumeCylinder)
surfaceAreaConeGen = Generator("Surface Area of cone", 38, "Surface area of cone with height = a units and radius = b units is", "c units^2", surfaceAreaCone)
volumeConeGen = Generator("Volume of cone", 39, "Volume of cone with height = a units and radius = b units is", "c units^3", volumeCone)
commonFactors = Generator("Common Factors", 40, "Common Factors of {a} and {b} = ", "[c, d, ...]", commonFactorsFunc)
intersectionOfTwoLines = Generator("Intersection of Two Lines", 41, "Find the point of intersection of the two lines: y = m1*x + b1 and y = m2*x + b2", "(x, y)", intersectionOfTwoLinesFunc)
permutations = Generator("Permutations", 42, "Total permutations of 4 objects at a time from 10 objects is", "5040", permutationFunc)
vectorCross = Generator("Cross Product of 2 Vectors", 43, "a X b = ", "c", vectorCrossFunc)
compareFractions = Generator("Compare Fractions", 44, "Which symbol represents the comparison between a/b and c/d?", ">/</=", compareFractionsFunc)
simpleInterest = Generator("Simple Interest", 45, "Simple interest for a principle amount of a dollars, b% rate of interest and for a time period of c years is = ", "d dollars", simpleInterestFunc)
matrixMultiplication = Generator("Multiplication of two matrices", 46, "Multiply two matrices A and B", "C", matrixMultiplicationFunc)
CubeRoot = Generator("Cube Root", 47, "Cuberoot of a upto 2 decimal places is", "b", cubeRootFunc)
powerRuleIntegration = Generator("Power Rule Integration", 48, "nx^m=", "(n/m)x^(m+1)", powerRuleIntegrationFunc)
fourthAngleOfQuadrilateral = Generator("Fourth Angle of Quadrilateral", 49, "Fourth angle of Quadrilateral with angles a,b,c =", "angle4", fourthAngleOfQuadriFunc)
quadraticEquationSolve = Generator("Quadratic Equation", 50, "Find the zeros {x1,x2} of the quadratic equation ax^2+bx+c=0", "x1,x2", quadraticEquation)
hcf = Generator("HCF (Highest Common Factor)", 51, "HCF of a and b = ", "c", hcfFunc)
diceSumProbability=Generator("Probability of a certain sum appearing on faces of dice", 52,"If n dices are rolled then probabilty of getting sum of x is =","z", DiceSumProbFunc)
exponentiation = Generator("Exponentiation", 53,"a^b = ","c",exponentiationFunc)
confidenceInterval = Generator("Confidence interval For sample S", 54, "With X% confidence", "is (A,B)", confidenceIntervalFunc)
surdsComparison = Generator("Comparing surds", 55, "Fill in the blanks a^(1/b) _ c^(1/d)", "</>/=", surdsComparisonFunc)
fibonacciSeries = Generator("Fibonacci Series",56,"fibonacci series of first a numbers","prints the fibonacci series starting from 0 to a",fibonacciSeriesFunc)
basicTrigonometry=Generator("Trigonometric Values",57,"What is sin(X)?","ans",basicTrigonometryFunc)
sumOfAnglesOfPolygon = Generator("Sum of Angles of Polygon", 58, "Sum of angles of polygon with n sides = ", "sum", sumOfAnglesOfPolygonFunc)
dataSummary = Generator("Mean,Standard Deviation,Variance", 59, "a,b,c", "Mean:a+b+c/3,Std,Var", dataSummaryFunc)
surfaceAreaSphereGen = Generator("Surface Area of Sphere", 59, "Surface area of sphere with radius = a units is","d units^2", surfaceAreaSphere)
volumeSphere=Generator("Volume of Sphere",60,"Volume of sphere with radius r m = ","(4*pi/3)*r*r*r",volumeSphereFunc)
surfaceAreaCubeGen = Generator(
"Surface Area of Cube", 32, "Surface area of cube with side a units is", "b units^2", surfaceAreaCube)
surfaceAreaCuboidGen = Generator(
"Surface Area of Cuboid", 33, "Surface area of cuboid with sides = a units, b units, c units is", "d units^2", surfaceAreaCuboid)
surfaceAreaCylinderGen = Generator(
"Surface Area of Cylinder", 34, "Surface area of cylinder with height = a units and radius = b units is", "c units^2", surfaceAreaCylinder)
volumeCubeGen = Generator(
"Volum of Cube", 35, "Volume of cube with side a units is", "b units^3", volumeCube)
volumeCuboidGen = Generator(
"Volume of Cuboid", 36, "Volume of cuboid with sides = a units, b units, c units is", "d units^3", volumeCuboid)
volumeCylinderGen = Generator(
"Volume of cylinder", 37, "Volume of cylinder with height = a units and radius = b units is", "c units^3", volumeCylinder)
surfaceAreaConeGen = Generator(
"Surface Area of cone", 38, "Surface area of cone with height = a units and radius = b units is", "c units^2", surfaceAreaCone)
volumeConeGen = Generator(
"Volume of cone", 39, "Volume of cone with height = a units and radius = b units is", "c units^3", volumeCone)
commonFactors = Generator(
"Common Factors", 40, "Common Factors of {a} and {b} = ", "[c, d, ...]", commonFactorsFunc)
intersectionOfTwoLines = Generator("Intersection of Two Lines", 41,
"Find the point of intersection of the two lines: y = m1*x + b1 and y = m2*x + b2", "(x, y)", intersectionOfTwoLinesFunc)
permutations = Generator(
"Permutations", 42, "Total permutations of 4 objects at a time from 10 objects is", "5040", permutationFunc)
vectorCross = Generator("Cross Product of 2 Vectors",
43, "a X b = ", "c", vectorCrossFunc)
compareFractions = Generator(
"Compare Fractions", 44, "Which symbol represents the comparison between a/b and c/d?", ">/</=", compareFractionsFunc)
simpleInterest = Generator(
"Simple Interest", 45, "Simple interest for a principle amount of a dollars, b% rate of interest and for a time period of c years is = ", "d dollars", simpleInterestFunc)
matrixMultiplication = Generator("Multiplication of two matrices",
46, "Multiply two matrices A and B", "C", matrixMultiplicationFunc)
CubeRoot = Generator(
"Cube Root", 47, "Cuberoot of a upto 2 decimal places is", "b", cubeRootFunc)
powerRuleIntegration = Generator(
"Power Rule Integration", 48, "nx^m=", "(n/m)x^(m+1)", powerRuleIntegrationFunc)
fourthAngleOfQuadrilateral = Generator("Fourth Angle of Quadrilateral", 49,
"Fourth angle of Quadrilateral with angles a,b,c =", "angle4", fourthAngleOfQuadriFunc)
quadraticEquationSolve = Generator(
"Quadratic Equation", 50, "Find the zeros {x1,x2} of the quadratic equation ax^2+bx+c=0", "x1,x2", quadraticEquation)
hcf = Generator("HCF (Highest Common Factor)", 51,
"HCF of a and b = ", "c", hcfFunc)
diceSumProbability = Generator("Probability of a certain sum appearing on faces of dice",
52, "If n dices are rolled then probabilty of getting sum of x is =", "z", DiceSumProbFunc)
exponentiation = Generator(
"Exponentiation", 53, "a^b = ", "c", exponentiationFunc)
confidenceInterval = Generator("Confidence interval For sample S",
54, "With X% confidence", "is (A,B)", confidenceIntervalFunc)
surdsComparison = Generator(
"Comparing surds", 55, "Fill in the blanks a^(1/b) _ c^(1/d)", "</>/=", surdsComparisonFunc)
fibonacciSeries = Generator("Fibonacci Series", 56, "fibonacci series of first a numbers",
"prints the fibonacci series starting from 0 to a", fibonacciSeriesFunc)
basicTrigonometry = Generator(
"Trigonometric Values", 57, "What is sin(X)?", "ans", basicTrigonometryFunc)
sumOfAnglesOfPolygon = Generator("Sum of Angles of Polygon", 58,
"Sum of angles of polygon with n sides = ", "sum", sumOfAnglesOfPolygonFunc)
dataSummary = Generator("Mean,Standard Deviation,Variance",
59, "a,b,c", "Mean:a+b+c/3,Std,Var", dataSummaryFunc)
surfaceAreaSphereGen = Generator(
"Surface Area of Sphere", 59, "Surface area of sphere with radius = a units is", "d units^2", surfaceAreaSphere)
volumeSphere = Generator("Volume of Sphere", 60,
"Volume of sphere with radius r m = ", "(4*pi/3)*r*r*r", volumeSphereFunc)
nthFibonacciNumberGen = Generator("nth Fibonacci number", 61, "What is the nth Fibonacci number", "Fn", nthFibonacciNumber)
profitLossPercent = Generator("Profit or Loss Percent", 62, "Profit/ Loss percent when CP = cp and SP = sp is: ", "percent", profitLossPercentFunc)
binaryToHex = Generator("Binary to Hexidecimal", 63, "Hexidecimal of a=", "b", BinaryToHexFunc)
ComplexNumMultiply = Generator("Multiplication of 2 complex numbers", 64, "(x + j) (y + j) = ", "xy + xj + yj -1", multiplyComplexNumbersFunc)
geometricprogression=Generator("Geometric Progression", 65, "Initial value,Common Ratio,nth Term,Sum till nth term =", "a,r,ar^n-1,sum(ar^n-1", GeomProgrFunc)
geometricMean=Generator("Geometric Mean of N Numbers",61,"Geometric mean of n numbers A1 , A2 , ... , An = ","(A1*A2*...An)^(1/n) = ans",geometricMeanFunc)