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README.md
48
README.md
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# mathgenerator
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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.
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To try out generators, go to https://todarith.ml/generate/
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To try out generators, go to <https://todarith.ml/generate/>
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If you have an idea for a generator, please add it as an issue and tag it with the "New Generator" label.
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## Usage
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The project can be install via pip
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```
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```bash
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pip install mathgenerator
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```
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Here is an example of how you would generate an addition problem:
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```
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```python
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from mathgenerator import mathgen
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#generate an addition problem
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problem, solution = mathgen.addition()
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```
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## List of Generators
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| Id | Skill | Example problem | Example Solution | Function Name |
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|------|-----------------------------------|--------------------|-------------------|--------------------------|
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| 0 | Addition | 1+5= | 6 | addition |
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| 1 | Subtraction | 9-4= | 5 | subtraction |
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| 2 | Multiplication | 4*6= | 24 | multiplication |
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| 3 | Division | 4/3= | 1.33333333 | division |
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| 4 | Binary Complement 1s | 1010= | 0101 | binaryComplement1s |
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| 5 | Modulo Division | 10%3= | 1 | moduloDivision |
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| 6 | Square Root | sqrt(25)= | 5 | squareRootFunction |
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| 7 | Power Rule Differentiation | 4x^3 | 12x^2 | powerRuleDifferentiation |
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| 8 | Square | 4^2 | 16 | square |
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| 9 | LCM (Least Common Multiple) | LCM of 14 and 9 = | 126 | lcm |
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| 10 | GCD (Greatest Common Denominator) | GCD of 18 and 18 = | 18 | gcd |
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| 11 | Basic Algebra | 9x + 7 = 10 | 1/3 | basicAlgebra |
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| 12 | Logarithm | log3(3) | 1 | log |
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| 13 | Easy Division | 270/15 = | 18 | intDivision |
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| Id | Skill | Example problem | Example Solution | Function Name |
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|------|-----------------------------------|--------------------|-----------------------|--------------------------|
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| 0 | Addition | 1+5= | 6 | addition |
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| 1 | Subtraction | 9-4= | 5 | subtraction |
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| 2 | Multiplication | 4*6= | 24 | multiplication |
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| 3 | Division | 4/3= | 1.33333333 | division |
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| 4 | Binary Complement 1s | 1010= | 0101 | binaryComplement1s |
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| 5 | Modulo Division | 10%3= | 1 | moduloDivision |
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| 6 | Square Root | sqrt(25)= | 5 | squareRootFunction |
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| 7 | Power Rule Differentiation | 4x^3 | 12x^2 | powerRuleDifferentiation |
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| 8 | Square | 4^2 | 16 | square |
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| 9 | LCM (Least Common Multiple) | LCM of 14 and 9 = | 126 | lcm |
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| 10 | GCD (Greatest Common Denominator) | GCD of 18 and 18 = | 18 | gcd |
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| 11 | Basic Algebra | 9x + 7 = 10 | 1/3 | basicAlgebra |
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| 12 | Logarithm | log3(3) | 1 | log |
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| 13 | Easy Division | 270/15 = | 18 | intDivision |
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| 14 | Decimal to Binary | Binary of a= | b | decimalToBinary |
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| 15 | Binary to Decimal | Decimal of a= | b | binaryToDecimal |
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| 16 | Fraction Division | (a/b)/(c/d)= | x/y | fractionDivision |
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| 17 | Int 2x2 Matrix Multiplication | k * [[a,b],[c,d]]= | [[k*a,k*b],[k*c,k*d]] | intMatrix22Multiplication|
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@@ -215,7 +215,32 @@ def multiplyIntToMatrix22(maxMatrixVal = 10, maxRes = 100):
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problem = f"{constant} * [[{a}, {b}], [{c}, {d}]] = "
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solution = f"[[{a*constant},{b*constant}],[{c*constant},{d*constant}]]"
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return problem, solution
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def MidPointOfTwoPoint(maxValue=20):
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def areaOfTriangleFunc(maxA=20, maxB=20, maxC=20):
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a = random.randint(1, maxA)
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b = random.randint(1, maxB)
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c = random.randint(1, maxC)
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s = (a+b+c)/2
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area = (s*(s-a)*(s-b)*(s-c)) ** 0.5
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problem = "Area of triangle with side lengths: "+ str(a) +" "+ str(b) +" "+ str(c) " = "
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solution = area
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return problem, solution
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def isTriangleValidFunc(maxSideLength = 50):
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sideA = random.randint(1, maxSideLength)
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sideB = random.randint(1, maxSideLength)
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sideC = random.randint(1, maxSideLength)
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sideSums = [sideA + sideB, sideB + sideC, sideC + sideA]
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sides = [sideC, sideA, sideB]
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exists = True & (sides[0] < sideSums[0]) & (sides[1] < sideSums[1]) & (sides[2] < sideSums[2])
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problem = f"Does triangle with sides {sideA}, {sideB} and {sideC} exist?"
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if exists:
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solution = "Yes"
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return problem, solution
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solution = "No"
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return problem, solution
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def MidPointOfTwoPointFunc(maxValue=20):
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x1=random.randint(-20,maxValue)
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y1=random.randint(-20,maxValue)
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x2=random.randint(-20,maxValue)
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@@ -223,8 +248,6 @@ def MidPointOfTwoPoint(maxValue=20):
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problem=f"({x1},{y1}),({x2},{y2})="
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solution=f"({(x1+x2)/2},{(y1+y2)/2})"
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return problem,solution
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# || Class Instances
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#Format is:
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@@ -247,4 +270,6 @@ decimalToBinary = Generator("Decimal to Binary",14,"Binary of a=","b",DecimalToB
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binaryToDecimal = Generator("Binary to Decimal",15,"Decimal of a=","b",BinaryToDecimalFunc)
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fractionDivision = Generator("Fraction Division", 16, "(a/b)/(c/d)=", "x/y", divideFractionsFunc)
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intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix", 17, "k * [[a,b],[c,d]]=", "[[k*a,k*b],[k*c,k*d]]", multiplyIntToMatrix22)
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midPointOfTwoPoint=Generator("Midpoint of the two point",18,"((X1,Y1),(X2,Y2))=","((X1+X2)/2,(Y1+Y2)/2)",MidPointOfTwoPoint)
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areaOfTriangle = Generator("Area of Triangle", 18, "Area of Triangle with side lengths a, b, c = ", "area", areaOfTriangleFunc)
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doesTriangleExist = Generator("Triangle exists check", 19, "Does triangle with sides a, b and c exist?","Yes/No", isTriangleValidFunc)
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midPointOfTwoPoint=Generator("Midpoint of the two point", 20,"((X1,Y1),(X2,Y2))=","((X1+X2)/2,(Y1+Y2)/2)",MidPointOfTwoPointFunc)
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