Given below is the ICSE Class 8 Mathematics Syllabus:

• Theme 1: Number System
  1. Rational Numbers
     • Properties of rational numbers (including identities). Using the 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
  2. Exponents Powers
     • Laws of exponents with integral powers
     • Square and Square roots using the factor method and division method for numbers containing no more than 4 digits or 2 decimal places
     • Cubes and cube roots (only factor method for numbers containing at most 3 digits)
  3. Playing with numbers
     • Writing and understanding 2 and 3-digit numbers in the generalised form (100a + 10b + c)
     • Engaging with puzzles to solve and create problems
     • Deducing divisibility test rules of 2, 3, 5, 9, 10 for 2 or 3-digit numbers
  4. Sets
     • Union and intersection of sets
     • Disjoint-set
     • Complement of a set


• Theme 2: 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 to 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


• Theme 3: Algebra
  • Algebraic Expressions
    • Multiplication and division of algebraic expressions (Coefficient should be integers)
    • Identities: (a ± b)² = a² ± 2ab + b², a² – b² = (a – b)(a + b)
    • Properties of inequalities
    • Factorisation (simple cases only): a(x + y), (x ± y)², a² – b², (x + a)(x + b)
    • Solving linear equations in one variable in contextual problems (avoid complex coefficients)


• Theme 4: Geometry
  • Understanding Shapes
    • Properties of quadrilaterals – Angle Sum property
    • Properties of a parallelogram (By verification):
      • Opposite sides are equal
      • Opposite angles are equal
      • Diagonals 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 3D in 2D
      • Identify and match pictures with objects (nested or joint 2D & 3D shapes, max 2)
      • Drawing 2D representation of 3D objects
      • Counting vertices, edges & faces & verifying Euler’s relation for 3D figures (cubes, cuboids, tetrahedrons, prisms, 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
    • Reflection symmetry and symmetrical shapes
    • Circle: centre, radius/diameter, arc, chord, sector, and segment


• Theme 5: Mensuration
  • Area of a trapezium, a polygon, and semi-circle
  • Surface area of a cube, cuboid, cylinder
  • Total surface area and curved surface areas of various 3D figures
  • Concept of volume, measurement using basic units, volume of cube, cuboid, and cylinder
  • Volume and capacity (measurement of capacity)


• Theme 6: Data Handling
  • Arranging ungrouped data 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 real-life events