Properties of rational numbers. (including identities). Using general form of expression 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. Word problem.

Solving linear equations in one variable in contextual problems involving multiplication and division (word problems) (avoid complex coefficient in the equations)

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

Identify and Match pictures with objects [more complicated e.g. nested, joint 2-D and 3-D shapes. Drawing 2-D representation of 3-D objects. Counting vertices, edges & faces & verifying Euler’s relation for 3-D figures with flat faces.

Reading bar-graphs, ungrouped data, arranging it into groups, representation of grouped data through bar-graphs, constructing and interpreting bar-graphs. Simple Pie charts with reasonable data numbers. Consolidating and generalizing the notion of chance in events like tossing coins, dice etc. Relating it to chance in life events.

Square and Square roots- 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). Estimating square roots and cube roots. Learning the process of moving nearer to the required number.

Observing the aggregating numbers over a large number of repeated events. Comparing with the data for a coin. Observing strings of throws, notion of randomness.

Multiplication and division of algebraic exp.(Coefficient should be integers). Some common errors. Factorisation (simple cases only). Solving linear equations in one variable in contextual problems involving multiplication and division (word problems) (avoid complex coefficient in the equations).

Visualising Solid Shapes for class 08 Mathematics. These online MCQ tests includes all main concepts of the chapter in CBSE class 08 Mathematics. It is very useful for testing the command over the topic and equally useful for various Olympiads.

Area of a trapezium and a polygon. Concept of volume, measurement of volume usinga basic unit, volume of a cube, cuboid and cylinder. Volume and capacity (measurement of capacity). Surface area of a cube, cuboid, cylinder.

Exponents and Powers: Integers as exponents. Laws of exponents with integral powers for class 08 Mathematics. It includes all main concepts of the chapter in CBSE class 08 Mathematics.

Direct and Inverse Proportions: Simple and direct word problems, Inverse variation – Simple and direct word problems for class 08 Mathematics. It includes all main concepts of the chapter in CBSE class 08 Mathematics.

Factorisation (simple cases only) as examples the following types a(x + y) for class 08 Mathematics. It includes all main concepts of the chapter in CBSE class 08 Mathematics.

Introduction to Graphs: Axes (Same units), Cartesian Plane, Plotting points for different kind of situations- Reading off from the graphs, Reading of linear graphs, Reading of distance vs time graph.

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 concerning this. Number puzzles and games. Deducing the divisibility test rules of 2, 3, 5, 9,10 for a two or three-digit number expressed in the general form.