# Math Blog

### Practice Test on Ratio and Proportion | Word Problems on Ratio and Proportion

Math practice test on ratio and proportion encourage the students to practice the questions given in the worksheet. The questions are mainly related to the simplification of ratio to its lowest terms,

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### Worksheet on Ratio and Proportion |Free Worksheet on Ratios in the Simplest Form

Math worksheet on ratio and proportion encourage the students to practice more questions and think more about it. The questions are related to express the ratios in the simplest form, simplify the rat

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### Worked out Problems on Ratio and Proportion | Word Problems on Ratio Proportion

Worked out problems on ratio and proportion are explained here in detailed description using step-by-step procedure. Solved examples involving different questions related to comparison of ratios in as

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### Ratio and Proportion |Continued Proportion| Simplification & Comparison of Ratio

In math ratio and proportion we will elaborate the terms and discuss more about it in detailed explanation. Ratio and terms of ratio,Properties of ratio,Ratio in the simplest form,Simplification of ra

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### Worksheet on Area of a Polygon | Questions on Polygon| Area of a Regular Octagon

In math practice worksheet on area of a polygon we will solve how to find the different polygons according to the number of sides it contains.

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### Worksheet on Trapezium |Question on Area of a Trapezium|Area of a Trapezium|Ans

In worksheet on trapezium we will solve different types of problems using the formula of area of a trapezium.

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### Properties of Ratio and Proportion | Invertendo | Alternendo | Componendo ....

Some useful properties of ratio and proportion are invertendo property, alternendo property, componendo Property, dividendo property, convertendo property, componendo-dividendo property

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### Area of A Polygon |Regular Polygon|Central Point of the Polygon|Problems on Area

In area of a polygon we will learn about polygon, regular polygon, central point of the polygon, radius of the inscribed circle of the polygon, radius of the circumscribed circle of a polygon and solv

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### Area of a Trapezium |Formula of Area of a trapezium|Solved Examples of Area of a

In area of a trapezium we will discuss about the formula and the solved examples in area of a trapezium.

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### Worksheet on Problems on Simultaneous Linear Equations | Method of Elimination

The questions in the worksheet on problems on simultaneous linear equations can be solved in the method of elimination and method of substitution can be used to find the solution of system of two vari

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### Worksheet on Simultaneous Linear Equations|Method of Elimination|Linear equation

Practice each pair of the equation problems from the worksheet on simultaneous linear equations with the two variables and two linear equations. Solving simultaneous linear equations with two variabl

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### Practice Test on Word Problems Involving Simultaneous Linear Equations | Answer

Practice test on word problems involving simultaneous linear equations using either the method of elimination or the method of substitution for finding the value of the two linear variables.

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### Word Problems on Simultaneous Linear Equations | Linear Equations with Answer

Solving the solution of two variables of system equation that leads for the word problems on simultaneous linear equations is the ordered pair (x, y) which satisfies both the linear equations.

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### Pairs of Equations |Simultaneous Linear Equations | Solving Pairs of Equations

Solving pairs of equations, indicate the pair or pairs representing simultaneous linear equations (solvable).

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### Solvability of Linear Simultaneous Equations | Simultaneous Equations | Examples

To understand the condition for solvability of linear simultaneous equations in two variables, if linear simultaneous equations in two variables have no solution, they are called inconsistent whereas

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### Cross-Multiplication Method |Formula for Cross-Multiplication|Linear Equations

Here we will discuss about simultaneous linear equations by using cross-multiplication method.

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### Substitution Method | Using the Substitution Method to Solve Systems of Equation

Observe the steps how to solve the system of linear equations by using the substitution method. (i) Find the value of one variable in terms of the other from one of the given equations. (ii) Substitu

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### Elimination Method | Worked-out Examples on Elimination Method|Linear Equations

Follow the steps to solve the system of linear equations by using the elimination method: (i) Multiply the given equation by suitable constant so as to make the coefficients of the variable to be elim

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### Comparison Method |System of Linear Equations|Simultaneous Linear Equations|Step

Steps to solve the system of linear equations by using the comparison method to find the value of x and y. 3x – 2y = 2 ---------- (i) 7x + 3y = 43 ---------- (ii)

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### Simultaneous Linear Equations |Linear Equations in Two Variables|Linear Equation

Here we will discuss about simultaneous linear equations and also the method of solving the equations. We have already learnt that linear equation in two variable x and y is in the form ax + by + c =

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### Practice Test on Area and Perimeter of Square | Area and Perimeter of Square|Ans

In math practice test on area and perimeter of square the questions are given below. 1. Find the perimeter, area and length of the diagonal of a square whose sides are …………..

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### Practice Test on Area and Perimeter of Rectangle | Check the Exact Answers

In math practice test on area and perimeter of rectangle the questions are given below. 1. Find the perimeter, area and length of the diagonal of the rectangle when …… (a) length = 35 cm breadth = 12

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### Area Conversion | Units of Area Conversion | How to Convert the Units? |Examples

In units of area conversion we will learn how to convert the units. It’s very important to know the relation between the various units while solving the questions on area conversion.

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### Circumference and Area of Circle | Find the Area of a Concentric Circle |Example

In this topic we will discuss and learn about the circumference and area of circle. Circumference of circle: The distance around the circular region is called its circumference. The ratio of circumf

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### Area of Rhombus |Perimeter of Rhombus |Examples on Area and Perimeter of Rhombus

Here we will learn how to find the area of rhombus. ABCD is a rhombus whose base AB = b, DB ⊥ AC   DB = d1 AC = d2 and the altitude from C on AB is CE, i.e., h. Area of rh

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### Area of Parallelogram | Calculate Perimeter and Area of Parallelogram | Examples

Here we will discuss about how to find the area of a parallelogram. To calculate area of parallelogram we need to remember the formula and solve step-by-step. ABCD is a parallelogram with base (b) and

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### Area and Perimeter of the Triangle | Area of Right Angled & Equilateral Triangle

Here we will discuss about the area and perimeter of the triangle. ● If a, b, c are the sides of the triangle, then the perimeter of triangle = (a + b +c) units.● Area of the triangle = √(s(s - a) (

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### Area of the Path | Worked-out Examples on Area of the Path | Square, Rectangula

Here we will discuss about area of the path. It is observed that in square or rectangular gardens, parks, etc., some space in the form of path is left inside or outside or in between as cross paths. W

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### Perimeter and Area of Square |Formula |Worked-out examples on Perimeter and Area

The formula of perimeter and area of square are explained step-by-step with solved examples. If 'a' denotes the side of the square, then, length of each side of a square is 'a' units.

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### Perimeter and Area of Rectangle | Formula | Worked-out Problems on Rectangle

The formula of perimeter and area of rectangle are explained step-by-step with solved examples. If l denotes the length and b denotes the breadth of the rectangle, then the

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### Area and Perimeter |Units of Area| Formula of Area and Perimeter of Plane Figure

Here we will learn about how to find area and perimeter of a plane figures. The perimeter is used to measure the boundaries and the area is used to measure the regions enclosed.

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### Worksheet on Application on Proportion | Word Problems on Proportion

Practice the questions given in the worksheet on application on proportion. 1. Two numbers are in the ratio 3 : 5. If the second number is 365, find the first number. 2. Mr. John has reduced

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### Worksheet on Mean Proportional | Find the third Proportional | Proportions

Practice the questions given in the worksheet on mean proportional 1. Find the mean proportional of the following sets of positive numbers: (i) x$$^{3}$$y, xy$$^{3}$$ (ii) (x - y)$$^{2}$$

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### Word Problems on Proportion | Solving Proportion Word Problems | Proportion

We will learn how to solve the word problems on proportion. We know if the phone numbers are the ratio of the first two is equal to the ratio of the last two then the phone numbers are said to be

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### Area of Trapezium | Formula to Find the Area of Trapezium | Worked-out Examples

Here we will learn how to use the formula to find the area of trapezium. Area of trapezium ABCD = Area of ∆ ABD + Area of ∆ CBD = 1/2 × a × h + 1/2 × b × h = 1/2 × h × (a + b) = 1/2 (sum of parallel

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### Parallel and Transversal Lines |Corresponding Angles|Worked-out Problems|Angles

Here we discuss how the angles formed between parallel and transversal lines. When the transversal intersects two parallel lines: • Pairs of corresponding angles are equal. • Pairs of alternate ang

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### Basic Geometrical Concepts | Axioms | Theorems | Statements | Examples

Here we will recall about the basic geometrical concepts. Basic Geometrical Concepts: Axiom: It is a proposition that is not proved but considered to be self-evident or subject to necessary decision

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### Worksheet on Cube Root | Exercise Sheet on Cube Root | Evaluate the Cube Root

In worksheet on cube root, the questions are based on cube root of a given number by factorization; to find cube root of a negative perfect cube; to evaluate the cube root of the product of integers

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### Worksheet on Cube | Cube of a Number | Exercise Sheet on Cube

In worksheet on cube, the questions are based on cube of a given number; to find cube of a decimal number; to find the cube of a fraction number; finding perfect cubes and also finding the cubes of od

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### Worksheet on Cube and Cube Root | Questions on Cube and Cube Roots

In worksheet on cube and cube root, all grade students can practice the questions on cube and cube roots. From this exercise sheet on cube and cube root there are different types of questions

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### Table of Cube Roots | Value of a Cube Root | Use of Cube Root | Perfect Cube

Table of cube roots will help us to find the approximate value of a cube root. Use of cube root tables to determine the approximate value of cube roots, if the given number s not perfect cube

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### Method for Finding the Cube of a Two-Digit Number | Cube of a Two-digit Number

We will learn the short-cut method for finding the cube of a two-digit number. Suppose, we have (a + b)³ = a³ + 3a²b + 3ab² + b³. METHOD: For finding the cube of a two-digit number with the tens

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### Cube Root of a Rational Number |The cube root of a number is denoted by ∛.

The cube root of a number is denoted by ∛. The cube root of a number x is that number whose cube gives x. We denote the cube root of x by ∛x

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### To Find if the Given Number is a Perfect Cube | Perfect Cube |Grouped in Triples

How to find if the given number is a perfect cube? If the prime factors of a number are grouped in triples of equal factors, then that number is called a perfect cube.

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### Cube | Cube of a Number | Perfect Cube | Cube of a Negative Integer

If a number is multiplied by itself three times, then the product is called the cube of that number. To denote the cube of a number, 3 is written a little up to the right of the numbers.

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### Worksheet on Proportion and Continued Proportion | Find the Fourth Proportional

Practice the questions given in the worksheet on proportion and continued proportion. 1. Check whether the following numbers are in proportion or not: (i) 3, 5, 6, 10 (ii) 0.25, 0.5, 50, 100

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### Worksheet on Squares | Questions on Perfect Squares | Evaluating Squares

In worksheet on squares we will practice many questions on perfect squares, squares of even numbers, squares of odd numbers and also on evaluating squares.

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### Properties of Perfect Squares | Pythagorean Triplet | Square of an Even Number

The properties of perfect squares are explained here in each property with examples. Property 1: Numbers ending in 2, 3, 7 or 8 is never a perfect square but on the other hand, all the numbers

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### Perfect Square or Square Number | What is a Perfect Square? | Definition

What are called perfect square or square number? Natural numbers that are squares of other natural numbers are called perfect square or square number. For example; We know that

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