In 8th grade math practice you will get all types of examples on different topics along with the solutions. 8th grade math worksheets are arranged in such a way that students can learn math while practicing it step by step.

Keeping in mind the mental level of child in 8th grade, every efforts
has been made to introduce new concepts in a simple language, so that
the child understands them easily.

The difficulty level of the problems has been reduced and mathematical
concepts have been explained in the simplest possible way. Each topic
contains a large number of examples to understand the applications of
concepts.

In 8th grade math test we need to learn **Rational Numbers, Exponents,
Square and Square Roots, Cubes and Cube roots, Operations on Algebraic
Expressions, Factorization, Linear Equations, Profit and Loss, Compound
Interest, Ratio and Proportion, Time and Work and in geometry we learn
Quadrilaterals, Parallelograms, Construction of Quadrilaterals,
Three-Dimensional Figures, Area of a Trapezium and a Polygon, Volume and
Surface Area of Solids, Data Handling, Constructing and Interpreting
Bar Graphs, Pie Charts, Probability, Graphs,** etc……

If student follow math-only-math they can improve their knowledge by
practicing the worksheets for 8th graders which will them to score in
their exam.

● **Set Theory**

Sets Theory: Brief description on set theory and the important sets used in mathematics.

Representation of a Set: Definition with examples of statement form, roster form or tabular form, set builder form cardinal number of a set and the standard sets of numbers.

Types of Sets: Definition with examples of empty set or null set, singleton set, finite set, infinite set, cardinal number of a set, equivalent set and equal sets.

Finite Sets and Infinite Sets: Learn how to distinguish between finite set and infinite set with examples.

Power Set: Explanation on power sets will help us to get the basic concepts if sets with examples.

Problems on Union of Sets: Learn how to find the union of two or more sets and worked-out examples of operations on union of sets.

Problems on Intersection of Sets: Learn how to find the intersection of two or more sets and worked-out examples of operations on intersection of sets.

Difference of two Sets: Learn how to find the difference between the two sets and worked-out examples.

Complement of a Set: Definition of complement of a set and their properties with some worked-out examples.

Problems on Complement of a Set: Learn how to find the complement of two or more sets and worked-out examples of operations on complement of sets.

Problems on Operation on Sets: Learn how to find the union and intersection of two or more sets and worked-out examples of the two basic operations of sets.

Word Problems on Sets: Apply set operations to solve word problems involving the properties of union and intersection of sets.

Venn Diagrams in Different Situations: Learn how to use the Venn diagrams in different situations to find the different sets.

Relationship in Sets using Venn Diagram: Learn how to find the relationship of the union, intersection and difference of the two sets using Venn-diagram.

Union of Sets using Venn Diagram: Diagrammatic representation to find the union of two sets and their properties, worked-out examples.

Intersection of Sets using Venn Diagram: Diagrammatic representation to find the intersection of two sets and their properties, worked-out examples.

Disjoint of Sets using Venn Diagram: Learn how to represent the disjoint sets of union and intersection using Venn-Diagram.

Difference of Sets using Venn Diagram: Learn how to represent the difference between two sets using Venn-Diagram.

Examples on Venn Diagram: Learn how to use the basic concepts of sets for solving the different types of problems on Venn diagram.

● **Relations and Mapping**

Domain and Range of a Relation

Practice Test on Math Relation

Domain Co-domain and Range of Function

Math Practice Test on Function

● **Relations and Mapping - Worksheets**

Worksheet on Functions or Mapping

● **Cube and Cube Roots**

To Find if the Given Number is a Perfect Cube

Method for Finding the Cube of a Two-Digit Number

● **Cube and Cube Roots - Worksheets**

Worksheet on Cube and Cube Root

● **Rational Numbers**

Introduction of Rational Numbers

Is Every Rational Number a Natural Number?

Is Every Rational Number an Integer?

Is Every Rational Number a Fraction?

Equivalent form of Rational Numbers

Rational Number in Different Forms

Properties of Rational Numbers

Lowest form of a Rational Number

Standard form of a Rational Number

Equality of Rational Numbers using Standard Form

Equality of Rational Numbers with Common Denominator

Equality of Rational Numbers using Cross Multiplication

Comparison of Rational Numbers

Rational Numbers in Ascending Order

Rational Numbers in Descending Order

Representation of Rational Numbers on the Number Line

Rational Numbers on the Number Line

Addition of Rational Number with Same Denominator

Addition of Rational Number with Different Denominator

Properties of Addition of Rational Numbers

Subtraction of Rational Number with Same Denominator

Subtraction of Rational Number with Different Denominator

Subtraction of Rational Numbers

Properties of Subtraction of Rational Numbers

Rational Expressions Involving Addition and Subtraction

Simplify Rational Expressions Involving the Sum or Difference

Multiplication of Rational Numbers

Properties of Multiplication of Rational Numbers

Rational Expressions Involving Addition, Subtraction and Multiplication

Reciprocal of a Rational Number

Rational Expressions Involving Division

Properties of Division of Rational Numbers

Rational Numbers between Two Rational Numbers

● **Rational Numbers - Worksheets**

Worksheet on Equivalent Rational Numbers

Worksheet on Lowest form of a Rational Number

Worksheet on Standard form of a Rational Number

Worksheet on Equality of Rational Numbers

Worksheet on Comparison of Rational Numbers

Worksheet on Representation of Rational Number on a Number Line

Worksheet on Adding Rational Numbers

Worksheet on Properties of Addition of Rational Numbers

Worksheet on Subtracting Rational Numbers

Worksheet on Addition and
Subtraction of Rational Number

Worksheet on Rational Expressions Involving Sum and Difference

Worksheet on Multiplication of Rational Number

Worksheet on Properties of Multiplication of Rational Numbers

Worksheet on Division of Rational Numbers

Worksheet on Properties of Division of Rational Numbers

Worksheet on Finding Rational Numbers between Two Rational Numbers

Worksheet on Word Problems on Rational Numbers

Worksheet on Operations on Rational Expressions

Objective Questions on Rational Numbers

● **Ratio and Proportion**

Practice Test on Ratio and Proportion

Worked out Problems on Ratio and Proportion

● **Ratio and Proportion - Worksheets**

Worksheet on Ratio and Proportion

● **Significant Figures**

● **Significant Figures - Worksheets**

Worksheet on Significant Figures

● **Fun with Numbers**

● **Fun with Numbers - Worksheets**

Worksheet on Number Puzzles and Games

● **Exponents**

Integral Exponents of a Rational Numbers

● **Exponents - Worksheets**

● **Square**

Perfect Square or Square Number

● **Square - Worksheets**

● **Square Root**

Square Root of a Perfect Square by using the Prime Factorization Method

Square Root of a Perfect Square by Using the Long Division Method

Square Root of Numbers in the Decimal Form

Square Root of Number in the Fraction Form

Square Root of Numbers that are Not Perfect Squares

Practice Test on Square and Square Roots

● **Square Root- Worksheets**

Worksheet on Square Root using Prime Factorization Method

Worksheet on Square Root using Long Division Method

Worksheet on Square Root of Numbers in Decimal and Fraction Form

● **Algebraic Expression**

Addition of Algebraic Expressions

Subtraction of Algebraic Expressions

Multiplication of Algebraic Expression

Division of Algebraic Expressions

● **Formula**

Formula and Framing the Formula

Change the Subject of a Formula

Changing the Subject in an Equation or Formula

Practice Test on Framing the Formula

● **Formula - Worksheets**

Worksheet on Framing the Formula

Worksheet on Changing the Subject of a Formula

Worksheet on Changing the Subject in an Equation or Formula

● **Factorization**

Factors of Algebraic Expressions

Factorization when Monomial is Common

Factorization when Binomial is Common

Factorize by Grouping The Terms

Factorize by Regrouping The Terms

Factorization by Using Identities

Factorization of Perfect Square

Factorization of Perfect Square Trinomials

Factoring Differences of Squares

Factorize the Difference of Two Squares

Evaluate the Difference of Two Squares

Factorize the Trinomial x^2 + px + q

Factorize the Trinomial ax^2 + bx + c

Factorization of Quadratic Trinomials

● **Factorization - Worksheet**

Worksheet on Factoring Algebraic Expression

Worksheet on Factoring Binomials

Worksheet on Factoring by Grouping

Worksheet on Factorization by Regrouping

Worksheet on Factoring out a Common Binomial Factor

Worksheet on Factoring Identities

Worksheet on Factoring the Differences of Two Squares

Worksheet on Factorization using Formula

Worksheet on Factoring Trinomials

Worksheet on Factoring Simple Quadratics

Worksheet on Factoring Quadratic Trinomials

Worksheet on Factoring Trinomials by Substitution

● **Simplification of Algebraic Fractions**

Arithmetic Fraction and Algebraic Fraction

Highest Common Factor of Monomials

Highest Common Factor of Monomials by Factorization

Lowest Common Multiple of Monomials

Lowest Common Multiple of Monomials by Factorization

Highest Common Factor of Polynomials

Lowest Common Multiple of Polynomials

H.C.F. of Polynomials by Factorization

Highest Common Factor of Polynomials by Factorization

L.C.M. of Polynomials by Factorization

Lowest common multiple of Polynomials by Factorization

H.C.F. of Polynomials by Division Method

H.C.F. of Polynomials by Long Division Method

Relation Between H.C.F. and L.C.M. of Two Polynomials

Reduce Algebraic Fractions to its Lowest Term

Simplification of Algebraic Fractions

Rule of Separation of Division

Sum and Difference of Algebraic Fractions

Problems on Algebraic Fractions

Multiplication of Algebraic Fractions

Division of Algebraic Fractions

● **Simplification of Algebraic Fractions - Worksheets**

Worksheet on H.C.F. of Monomials

Worksheet on L.C.M. of Monomials

Worksheet on H.C.F. and L.C.M. of Monomials

Worksheet on H.C.F. of Polynomials

Worksheet on L.C.M. of Polynomials

Worksheet on H.C.F. and L.C.M. of Polynomials

Worksheet on Reducing Algebraic Fractions

Worksheet on Algebraic Expressions to the Lowest Terms

Worksheet on Algebraic Fractions

Worksheet on Simplifying Algebraic Fractions

● **Equations**

How to Solve Linear Equations?

Problems on Linear Equations in One Variable

Word Problems on Linear Equations in One Variable

Practice Test on Linear Equations

Practice Test on Word Problems on Linear Equations

● **Equations - Worksheets**

Worksheet on Word Problems on Linear Equation

● **Simultaneous Linear Equations**

Solvability of Linear Simultaneous Equations

Word Problems on Simultaneous Linear Equations

Word Problems on Simultaneous Linear Equations

Practice Test on Word Problems Involving Simultaneous Linear Equations

● **Simultaneous Linear Equations - Worksheets**

Worksheet on Simultaneous Linear Equations

Worksheet on Problems on Simultaneous Linear Equations

● **Linear Inequations**

Properties of Inequation or Inequalities

Representation of the Solution Set of an Inequation

Practice Test on Linear Inequation

● **Linear Inequations - Worksheets**

Worksheet on Linear Inequations

● **Quadratic Equations**

● **Quadratic Equations - Worksheets**

Worksheet on Quadratic Equations

● **Percentage**

Percentage of the given Quantity

How much Percentage One Quantity is of Another?

Real Life Problems on Percentage

● **Percentage - Worksheets**

**Worksheet on Fraction into Percentage**

**Worksheet on Percentage into Fraction**

**Worksheet on Percentage into Ratio**

**Worksheet on Ratio into Percentage**

**Worksheet on Percentage into Decimal**

**Worksheet on Percentage of a Number**

**Worksheet on Finding Value of a Percentage**

**Worksheet on Percentage of a Given Quantity**

**Worksheet on Word Problems on Percentage**

**Worksheet on Increase Percentage**

**Worksheet on Decrease Percentage**

**Worksheet on increase and Decrease Percentage**

**Worksheet on Expressing Percent**

**Worksheet on Finding Percentage**

● **Profit, Loss and Discount**

Calculating Profit Percent and Loss Percent

Word Problems on Profit and Loss

Examples on Calculating Profit or Loss

Practice Test on Profit and Loss

Practice Test on Profit Loss and Discount

● **Profit, Loss and Discount - Worksheets**

Worksheet to Find Profit and Loss

Worksheets on Profit and Loss Percentage

Worksheet on Gain and Loss Percentage

● **Time and Work**

Practice Test on Time and Work

● **Time and Work - Worksheets**

● **Time and Distance**

Relationship between Speed, Distance and Time

Problems on Calculating Distance

Two Objects Move in Same Direction

Two Objects Move in Opposite Direction

Train Passes a Moving Object in the Same Direction

Train Passes a Moving Object in the Opposite Direction

Two Trains Passes in the Same Direction

Two Trains Passes in the Opposite Direction

● **Time and Distance - ****Worksheets**

Worksheet on Conversion of Units of Speed

Worksheet on Calculating Speed

Worksheet on Calculating Distance

Worksheet on Train Passes through a Pole

Worksheet on Train Passes through a Bridge

Worksheet on Decimal into Percentage

● **Simple Interest**

Practice Test on Simple Interest

● **Simple Interest - Worksheets**

● **Compound Interest**

Compound Interest with Growing Principal

Compound Interest with Periodic Deductions

Compound Interest by Using Formula

Compound Interest when Interest is Compounded Yearly

Compound Interest when Interest is Compounded Half-Yearly

Compound Interest when Interest is Compounded Quarterly

Variable Rate of Compound Interest

Difference of Compound Interest and Simple Interest

Practice Test on Compound Interest

Uniform Rate of Growth and Depreciation

● **Compound Interest - Worksheet**

Worksheet on Compound Interest

Worksheet on Compound Interest when Interest is Compounded Half-Yearly

Worksheet on Compound Interest with Growing Principal

Worksheet on Compound Interest with Periodic Deductions

Worksheet on Variable Rate of Compound Interest

Worksheet on Difference of Compound Interest and Simple Interest

Worksheet on Uniform Rate of Growth

Worksheet on Uniform Rate of Depreciation

Worksheet on Uniform Rate of Growth and Depreciation

● **Ratio and Proportion (Direct & Inverse
Variation)**

Practice Test on Direct Variation and Inverse Variation

● **Ratio and Proportion - Worksheets**

Worksheet on Inverse Variation

● **Probability**

● **Probability - Worksheets**

Geometry

● **Lines and Angles**

Some Geometric Terms and Results

Complementary and Supplementary Angles

Parallel and Transversal Lines

● **Parallelogram**

Properties of a Rectangle Rhombus and Square

Practice Test on Parallelogram

● **Parallelogram - Worksheet**

● **Quadrilateral**

Different Types of Quadrilaterals

Construction of Quadrilaterals

Construct Different Types of Quadrilaterals

● **Quadrilateral - Worksheets**

Worksheet on Construction on Quadrilateral

Worksheet on Different Types of Quadrilaterals

● **Three-Dimensional Figures**

● **Three-Dimensional Figures - Worksheets**

Worksheet on Three Dimensional Figures

● **Mensuration**

Perimeter and Area of Rectangle

Area and Perimeter of the Triangle

Area and Perimeter of the Parallelogram

Circumference and Area of Circle

Practice Test on Area and Perimeter of Rectangle

Practice Test on Area and Perimeter of Square

● **Mensuration - Worksheets**

Worksheet on Area and Perimeter of Rectangles

Worksheet on Area and Perimeter of Squares

Worksheet on Circumference and Area of Circle

Worksheet on Area and Perimeter of Triangle

● **Volume and Surface Area of Solids**

Worked-out Problems on Volume of a Cuboid

● **Area of a Trapezium**

● **Area of a Trapezium - Worksheet**

Worksheet on Area of a Polygon

● **Area Proposition**

Figure on Same Base and between Same Parallels

Parallelograms on Same Base and between Same Parallels

Parallelograms and Rectangles on Same Base and between Same Parallels

Triangle and Parallelogram on Same Base and between Same Parallels

Triangle on Same Base and between Same Parallels

● **Area Proposition**** - ****Worksheets**

Worksheet on Same Base and Same Parallels

● **Data Handling**

● **Data Handling - Worksheet**

● **Constructing and Interpreting Bar Graphs or Column
Graphs**

● **Bar Graphs or Column Graphs - Worksheets**

Worksheet on Bar Graphs or Column Graphs

● **Pie Charts or Pie Graphs**

● **Pie Charts or Pie Graphs - Worksheets**

● **Coordinate Geometry**

● **Coordinate Geometry - Worksheet**

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