Mathematics Syllabus for Olympiads - Class 8

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Mathematics Syllabus for Olympiads – Class 8
1. Rational Numbers:
 Rational number and its examples.
 Natural number, Whole number and integer.
 Properties of rational numbers (Using identities).
 Representation of rational number on the number line.
2. Linear Equation in One Variable:
 Equation, linear equations.
 Linear equation in one variable.
 Solution of a linear equation.
 Laws of equality.
 Problems based on linear equations.
3. Understanding Quadrilaterals and Practical Geometry:
 Quadrilateral.
 Classification of polygons.
 Convex and concave polygon.
 Regular and irregular polygon.
 Angle sum property.
 Types of quadrilaterals.
 Properties of quadrilaterals.
 Interior and exterior angles of a regular polygon.
 Constructions of triangles and quadrilaterals.
4. Squares and Square Root, Cube and Cube Root:
(a) Square and square root:
 Square, perfect square and square root.
 Properties of squares.
 Estimating the squares of numbers.
 Determining the square and square roots of positive numbers.
(b) Cube and cube root:
 Cube, perfect cube and cube roots.
 Estimating the cubes of numbers.
 Determining the cube and cube roots of positive numbers.
 Estimating the cubes of numbers.
5. Comparing Quantities:
(a) Ratio and proportion:
 Terms of a ratio.
 Ratio in simplest form.
 Comparison of ratios.
 Continued proportion.
 Problems on property- product of extremes = product of means.

 Problems on percentage.
 Profit and loss.
 Simple interest and compound interest.
6. Algebraic Expressions and Identities:
(a) Algebraic expression:
 Definition of algebraic expression.
 Like and unlike terms.
(b) Polynomial:
 Degree of a polynomial.
 Types of polynomials.
 Multiplication of polynomials.
 Important identities- (a + b)2
= a2
+ 2ab + b2
 (a – b)2
= a2
- 2ab + b2
 (a + b) (a – b) = a2
– b2
7. Mensuration:
(a) Area and Perimeter:
 Definition of area and perimeter.
 Area and perimeter of rectangle.
 Area and perimeter of square.
 Area of four walls of room.
 Area and perimeter of triangle.
 Area and perimeter of parallelogram.
 Area and circumference of circle.
 Area of sector and segment.
 Length of arc.
(b) Volume:
 Volume of cube, cuboid and cylinder.
 Total surface area of cube, cuboid and cylinder.
 Lateral surface area of cube, cuboid and cylinder.
 Diagonal of cube and cuboid.
8. Exponents and Powers:
 Exponential equation.
 Standard form of numbers.
 Laws of exponents (Integers and rational numbers).
 Positive and negative integral exponent of a rational number.
9. Direct and Inverse Proportions:
 Unitary method.
 Direct proportion.
 Inverse proportion.
10. Factorization:
 Definition of factorization.

 Important identities- (a + b)
2
= a2
+ 2ab + b2
 (a – b)2
= a2
- 2ab + b2
 (a + b) (a – b) = a2
– b2
 (x + a) (x – b) = x2
+ (a + b)x – ab.
11. Data Handling:
(a) Data:
 Definition of data, raw data, array, tabulation, observation, frequency, range,
frequency distribution.
 Tally marks.
 Grouped data.
 Mean, median and mode.
(b) Graphical representation:
 Histogram.
 Bar graph.
 Double bar graph.
 Pie chart.
(c) Probability.
12. Visualizing Solid Shapes:
 Geometrical shapes.
 Description of solid shapes.
 Polyhedron.
 Euler’s formula.
13. Introduction to graphs:
 Bar graph.
 Pie graph.
 Histogram.
 Line graph.
 Linear graph.
 Cartesian system.
14. Playing with Numbers:
 General form of a number.
 Divisibility tests for 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12.
15. Everyday Mathematics:

Mathematics Syllabus for Olympiads - Class 8

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