 # ICSE Class 8 Maths Syllabus

Here we have provided the ICSE Class 8 Maths Syllabus so that students of class 8 under the ICSE syllabus can properly learn the topics of Mathematics in the right succession for the best learning experience as offered by the ICSE board curriculum. Keep a check on the syllabus while studying and make sure that you don’t miss out any topic during your preparation.

The Syllabus of ICSE Class 8 Mathematics is given below:

1. Number System
1. Rational Numbers
1. Properties of rational numbers. (including identities). Using the general form of expression to describe properties
2. Representation of rational numbers on the number line
3. Between any two rational numbers, there lies another rational number
4. Word problem
2. Exponents Powers
1. Laws of exponents with integral powers
2. Square and Square roots using factor method and division method for numbers containing
• no more than total 4 digits
• no more than 2 decimal places
3. Cubes and cubes roots (only factor method for numbers containing at most 3 digits)
3. Playing with numbers
1. Writing and understanding a 2 and 3 digit number in generalized form (100a + 10b + c, where a, b, c can be the only digit 0 -9) and engaging with various puzzles Children to solve and create problems and puzzles.
2. Deducing the divisibility test rules of 2, 3, 5, 9, 10 for a two or three-digit number expressed in the general form.
4. Sets
1. Union and intersection of sets
2. Disjoint-set
3. The complement of a set
2. Ratio and Proportion
1. Slightly advanced problems involving applications on percentages, profit & loss, overhead expenses, Discount, tax.
2. Difference between simple and compound interest (compounded yearly up to 3 years or half-yearly up to 3 steps only)
3. Direct and inverse variations – Simple and direct word problems
4. Time and work problems – Simple and direct word problems
3. Algebra
1. Algebraic Expressions
2. Multiplication and division of algebraic expression (Coefficient should be integers)
3. Identities (a ± b)2 = a2 ± 2ab + b2, a2 – b2 = (a – b) (a + b).
4. Properties of inequalities.
5. Factorisation ( simple cases only) as examples the following types a(x + y), (x ± y)2, a2 – b2, (x + a)(x + b)
6. Solving linear equations in one variable in contextual problems involving multiplication and division (word problems) (avoid complex coefficient in the equations)
4. Geometry
1. Understanding shapes:
i. Properties of quadrilaterals – Angle Sum property
ii. Properties of a parallelogram (By verification)

• Opposite sides of a parallelogram are equal,
• Opposite angles of a parallelogram are equal,
• Diagonals of a parallelogram bisect each other.
• Diagonals of a rectangle are equal and bisect each other.
• Diagonals of a rhombus bisect each other at right angles.
• Diagonals of a square are equal and bisect each other at right angles.
2. Representing 3-D in 2-D
1. Identify and match pictures with objects [ more complicated e.g. nested, joint 2-D and 3-D shapes (not more than 2)]
2. Drawing a 2-D representation of 3-D objects (Continued and extended)
3. Counting vertices, edges & faces & verifying Euler’s relation for 3 -D figures with flat faces ( cubes, cuboids, tetrahedrons, prisms and pyramids)
1. Given four sides and one diagonal
2. Three sides and two diagonals
3. Three sides and two included angles
4. Two adjacent sides and three angles
4. The idea of reflection symmetry and symmetrical shapes
5. Circle
1. Circle, centre, radius/ diameter, arc, chord, sector and segment.
5. Mensuration
1. Area of a trapezium, a polygon and semi-circle.
2. The surface area of a cube, cuboid, cylinder.
3. The idea of Total surface area and curved surface areas of various 3-D figures
4. Concept of volume, measurement of volume using a basic unit, the volume of a cube, cuboid and cylinder
5. Volume and capacity (the measurement of capacity)
6. Data Handling
1. Arranging ungrouped data, it into groups, representation of grouped data through bar-graphs, constructing and interpreting bar-graphs.
2. Simple Pie charts with reasonable data numbers
3. Consolidating and generalising the notion of chance in events like tossing coins, dice etc. Relating it to chance in life events.

#### Recommended textbooks

• ICSE Mathematics for Class 8 by Asit Das Gupta-English-Bharati Bhawan (English) by Asit Das Gupta
• Mathematics Today-8 (ICSE) (English) 01 Edition (Paperback) by S K Gupta
• Longman ICSE Mathematics Book 8 (Paperback) by Sehgal