Merge branch 'master' into master

README.md

@@ -56,8 +56,7 @@ problem, solution = mathgen.genById(0)
 | 23 | Solve a System of Equations in R^2 | 4x - 8y = 48, 3x - 8y = 40 | x = 8, y = -2 | systemOfEquations |
 | 24 | Distance between 2 points | Find the distance between (-9, -20) and (18, -19) | sqrt(730) | distance2Point |
 | 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 18 and 13 =  | 22.20 | pythagoreanTheorem |
-| 26 | Linear Equations | -11x + -16y = -302
-1x + 20y = 250 | x = 10, y = 12 | linearEquations |
+| 26 | Linear Equations | -11x + -16y = -302 , 1x + 20y = 250 | x = 10, y = 12 | linearEquations |
 | 27 | Prime Factorisation | Find prime factors of 55 | [5, 11] | primeFactors |
 | 28 | Fraction Multiplication | (4/9)*(8/10) | 16/45 | fractionMultiplication |
 | 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 15 sides | 156.0 | angleRegularPolygon |

mathgenerator/mathgen.py

@@ -714,6 +714,77 @@ def fourthAngleOfQuadriFunc(maxAngle = 180):
     solution = angle4
     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)))
+	
+	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)])
+	return problem,solution
+
+def hcfFunc(maxVal=20):
+    a = random.randint(1, maxVal)
+    b = random.randint(1, maxVal)
+    x, y = a, b
+    while(y):
+       x, y = y, x % y
+    problem = f"HCF of {a} and {b} = "
+    solution = str(x)
+    return problem, solution
+
+def DiceSumProbFunc(maxDice=3):
+    a = random.randint(1,maxDice)
+    b = random.randint(a,6*a)
+    count=0
+    for i in [1,2,3,4,5,6]:
+        if a==1:
+            if i==b:
+                count=count+1
+        elif a==2:
+            for j in [1,2,3,4,5,6]:
+                if i+j==b:
+                    count=count+1
+        elif a==3:
+            for j in [1,2,3,4,5,6]:
+                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)
+    solution="{}/{}".format(count, 6**a)
+    return problem, solution
+
+def exponentiationFunc(maxBase = 20,maxExpo = 10):
+    base = random.randint(1, maxBase)
+    expo = random.randint(1, maxExpo)
+    problem = f"{base}^{expo} ="
+    solution = str(base ** expo)
+    return problem, solution
+
+def confidenceIntervalFunc():
+    n=random.randint(20,40)
+    j=random.randint(0,3)
+    lst=random.sample(range(200,300),n)
+    lst_per=[80 ,90, 95, 99]
+    lst_t = [1.282, 1.645, 1.960, 2.576]
+    mean=0
+    sd=0
+    for i in lst:
+        count= i + mean
+        mean=count
+    mean = mean/n
+    for i in lst:
+        x=(i-mean)**2+sd
+        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])
+    solution= '({}, {})'.format(mean+standard_error, mean-standard_error)
+    return problem, solution
+
 # || Class Instances
 
 #Format is:
@@ -769,3 +840,8 @@ matrixMultiplication =  Generator("Multiplication of two matrices", 46, "Multipl
 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+1)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)