Class 8 Maths

Class 8 maths is the base for developing higher-level computational skills in students. Students in class 8 learn to work basic algebraic equations, the arithmetic of rational numbers, factorization, and more. Learning class 8 maths requires students to have a clear understanding of previously studied concepts and skills. It focuses on working with advanced concepts related to geometry, arithmetic, and numbers. In class 8 maths, the basic arithmetic operations shift to a bit complex algebraic word problems that students have to interpret and understand. Thus, having complete knowledge of the class 8 maths syllabus is a must for students.

Class 8 Maths Syllabus

Class 8 maths is proficient in facilitating analytical growth and primary skillset in students. The syllabus of class 8 maths comprises topics related to shapes, number system, exponents, algebraic expressions, and more. Some of the skills to develop in Class 8 maths are based on the following:

Number System

• Rational Numbers
• Properties of rational numbers (including identities); using the general form to describe properties
• Consolidation of operations on rational numbers
• Representation of rational numbers on the number line
• Between any two rational numbers, there lies another rational number (demonstrating infinite density)
• Word problems with multi-step operations and area challenges

Powers

• Integers as exponents
• Laws of exponents with integral powers

Squares, Square roots, Cubes, Cube roots.

• Squares and square roots
• Square roots using the factor and division methods (for numbers with up to 4 digits and 2 decimal places)
• Cubes and cube roots using the factor method (for numbers with at most 3 digits)
• Estimating square roots and cube roots by successive approximations

Playing with Numbers

• Writing and understanding 2- and 3-digit numbers in generalized form (e.g. ab = 10a + b, abc = 100a + 10b + c) and solving puzzles based on these forms
• Number puzzles and games
• Deriving divisibility test rules for 2, 3, 5, 9, and 10 for numbers in generalized form

Algebraic Expressions and Identities

• Multiplication and division of algebraic expressions (with integer coefficients)
• Solving linear equations in one variable in practical contexts (with simple coefficients)
• Basic algebraic identities for (a + b)², (a – b)², (a + b)(a – b), and (x + a)(x + b)
• Factorizing algebraic expressions using these identities

Ratio and Proportion

• Advanced problems involving ratios, percentages, profit & loss, discounts, and taxes
• Difference between simple and compound interest (with limited steps), and deriving the compound interest formula through patterns
• Direct variation – simple word problems
• Inverse variation – simple word problems
• Time & work problems – simple word problems

Geometry

Understanding shapes:

• Properties of quadrilaterals – verifying the sum of angles is 360°
• Properties of a parallelogram: opposite sides and angles are equal; diagonals bisect each other at right angles; adjacent angles sum to 180°
• Properties of a rectangle: diagonals are equal and bisect each other
• Properties of a rhombus: diagonals bisect each other at right angles
• Properties of a square: diagonals are equal and bisect each other at right angles

Representing 3-D in 2-D

• Identifying and matching pictures with objects (e.g. nested or joint 2-D and 3-D shapes)
• 2-D representation of 3-D objects
• Counting vertices, edges, and faces and verifying Euler’s relation for polyhedra

Construction

• Construction of quadrilaterals:
  (i) Given four sides and one diagonal
  (ii) Three sides and two diagonals
  (iii) Three sides and two included angles
  (iv) Two adjacent sides and three angles

Mensuration

• Volume of a cylinder = πr²h
• Volume of a cube = (side)³
• Volume of a cuboid = length × width × height
• Discount = marked price - sale price
• Simple interest = PTR/100
• Compound interest = P (1 + r/n)^(nt), etc.

Data Handling

• Reading bar graphs – arranging ungrouped data, representing grouped data, constructing and interpreting bar graphs
• Simple pie charts with reasonable data
• Consolidating and generalizing the notion of chance using repeated coin tosses or dice rolls
• Observing randomness and frequency of outcomes

Introduction to Graphs

• Axes (with same units) and the cartesian plane
• Plotting points for various scenarios – e.g. perimeter vs. length for squares, area as a function of side, simple interest vs. number of years
• Reading linear graphs and distance vs. time graphs

The Class 8 Maths syllabus can be mastered by having complete knowledge of the topics above and practicing advanced word problems.

Class 8 Maths Worksheets

Solving class 8 maths worksheets helps students develop logical and reasoning skills while improving time management. These worksheets cover all topics and difficulty levels, and checking answers helps identify areas needing improvement.