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.

  1. Number System
  • Rational Numbers
    • Properties of rational numbers. (including identities). Using general form of expression to describe properties
    • Representation of rational numbers on the number line
    • Between any two rational numbers there lies another rational number
    • Word problem
  • Exponents Powers
    • Laws of exponents with integral powers
    • 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
    • Cubes and cubes roots (only factor method for numbers containing at most 3 digits)
  • Playing with numbers
    • Writing and understanding a 2 and 3 digit number in generalized form (100a + 10b + c , where a, b, c can be only digit 0 -9) and engaging with various puzzles Children to solve and create problems and puzzles.
    • Deducing the divisibility test rules of 2, 3, 5, 9, 10 for a two or three-digit number expressed in the general form.
  • Sets
    • Union and intersection of sets
    • Disjoint set
    • Complement of a set
  1. Ratio and Proportion
  • Slightly advanced problems involving applications on percentages, profit & loss, overhead expenses, Discount, tax.
  • Difference between simple and compound interest (compounded yearly up t o 3 years or half-yearly up to 3 steps only)
  • Direct and inverse variations – Simple and direct word problems
  • Time and work problems – Simple and direct word problems
  1. Algebra
  • Algebraic Expressions
  • Multiplication and division of algebraic expression (Coefficient should be integers)
  • Identities (a ± b)2 = a2 ± 2ab + b2, a2 – b2 = (a – b) (a + b).
  • Properties of inequalities.
  • Factorisation ( simple cases only) as examples the following types a(x + y), (x ± y)2, a2 – b2, (x + a)(x + b)
  • Solving linear equations in one variable in contextual problems involving multiplication and division (word problems) (avoid complex coefficient in the equations)
  1. Geometry
  • Understanding shapes:
    • Properties o f quadrilaterals – Angle Sum property
    • Properties of 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.
  • Representing 3-D in 2-D
    • Identify and match pictures with objects [ more complicated e.g. nested, joint 2-D and 3-D shapes (not more than 2)]
    • Drawing 2-D representation of 3-D objects (Continued and extended)
    • Counting vertices, edges & faces & verifying Euler’s relation for 3 -D figures with flat faces ( cubes, cuboids, tetrahedrons, prisms and pyramids)
  • Construction of Quadrilaterals:
    • Given four sides and one diagonal
    • Three sides and two diagonals
    • Three sides and two included angles
    • Two adjacent sides and three angles
  • Idea of reflection symmetry and symmetrical shapes
  • Circle
    • Circle, centre, radius/ diameter, arc, chord, sector and segment.
  1. Mensuration
  • Area of a trapezium, a polygon and semi-circle.
  • Surface area of a cube, cuboid, cylinder.
  • Idea o f Total surface area and curved surface areas of various 3-D figures
  • Concept of volume, measurement o f volume using a basic unit, volume of a cube, cuboid and cylinder
  • Volume and capacity (measurement of capacity)
  1. Data Handling
  • Arranging ungrouped data, it into groups, representation of grouped data through bar-graphs, constructing and interpreting bar-graphs.
  • Simple Pie charts with reasonable data numbers
  • 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

Practise This Question

The value of (3x2+5y2)(4xy5y), if the value of x=2 and y=3 is 513.