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 (a) no more than total 4 digits and (b) 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
  • Deducing the divisibility test rules of 2, 3, 5, 9, 10 for a two or three-digit number expressed in the general form.


  • Union and intersection of sets
  • Disjoint set
  • Complement of aRatio 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 pr 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 in equalities.
  • 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)
  • Geometry

Understanding shapes

Properties of quadrilaterals – Angle Sum property

Properties of parallelogram (By verification) (i) Opposite sides of a parallelogram are equal, (ii) Opposite angles of a parallelogram are equal, (iii) Diagonals of a parallelogram bisect each other. (iv) Diagonals of a rectangle are equal and bisect each other. (v) Diagonals of a rhombus bisect each other at right angles. (vi) 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, centre, radius/ diameter, arc, chord, sector and segment.


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

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
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