Area of a Triangle In this lesson we will learn, how to calculate the area of a triangles with different formula’s. When given 1. The base and height of a triangle.2. Two sides and one angle.3. The length of three sides.4. An equilateral triangle. First we see about a triangle.  A triangle is a simple […]

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Solutions – Union and Intersection of two Sets 1.If X and Y are two sets such that X∪Y has 40 elements, X has 22 elements and Y has 30 elements, how many elements does X∩Y have? Solution: Given that n(X∪Y) = 40,  n(X) = 22, and   n(Y) = 30, n(X∩Y)= ? By using the formula  n(X∪Y) […]

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Pie Graph or Pie Chart – Definition and Examples   Pie Graph (Pie Chart) Definition:  A “pie graph or (pie chart)” is a circular chart divided into sectors, each sector represents a proportionate part of a whole. A pie graph is used to compare parts of a whole. The circle represent the whole. Sector: In a pie graph, the […]

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Circle – Area – Formula and Problems with Solutions  Area of a circle is A = 𝝿r2 = 𝝿 (pi) x (radius)2 , where r is radius of the circle. or when we know the diameter A = (𝝿/4) x D2 when we know circumference A = c2/4𝝿 Let us now solve problems on area of a circle. Here […]

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Simplification Fractions -Rule What is Simplest Form form of a Fraction The simplest form of a fraction, also known as the reduced form or lowest terms, is when the numerator (the top number) and the denominator (the bottom number) of the fraction have no common factors other than 1. In other words, the fraction is […]

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Solve Square Root Problems To solve square root problems, especially if we’re looking for a simple approach, here are some detailed methods we can consider: 1. Understanding Square Roots The square root of a number ( x ) is a value ( y ) such that ( y2 = x ). For example, the square […]

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Addition of Decimal numbers 1. John bought 5kg 70g of grapes, 3kg 50g apple and 4kg 200g of mangoes. Find the total weight of all the fruits he bought? Solution:                1000g = 1kg                               70g = 1/1000 x 70/1                                 […]

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Addition and Subtraction of Polynomials Addition of polynomials means we simply add the like terms.  so, what is “Like terms”? Like terms are terms that have the variables, and powers are same, and coefficients of terms can be different.  Example:   1.          Yes          2x,  -5x,  11x,         […]

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Cube Root by Factorisation Method In this lesson we will learn prime factorisation of the numbers and their cubes. Before we study how to calculate cube root by prime factorisation we will see, What is prime number, prime factorisation, cube root and cube numbers. A prime number is a natural number greater than 1, with exactly two […]

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