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Unicus Global Mathematics Olympiad Class 8 Sample Papers


Classic Section

Content Domain

Main chapters

Sub Topics

Number System

Rational Numbers

Rational numbers and their properties (addition, subtraction, multiplication and division)

Finding rational numbers between two numbers

Representation of rational numbers on the number line

Squares and Square Roots

Properties of square numbers

Some interesting patterns

Finding the square and square roots of a number

Finding square roots by prime factorisation and long division

Square roots of decimals
Estimating square root

Cubes and Cube Roots

Properties of cube numbers

Some interesting patterns of cubes

Finding the cube root of the number

Exponents and Power

Laws of exponents

Comparing Quantities

Comparing Quantities

Determine proportions and ratios of quantities

Apply or find percentages
Convert between percentages and fractions or decimals

Profit and loss


Simple interest

Compound interest

Direct and Indirect Proportion

Direct proportion

Inverse proportion


Algebraic Expressions and Identities

Algebraic expression and its types

Terms, coefficients and factors

Simplify algebraic expressions involving sums, products, differences

Compare expressions to decide if they are equivalent.

Algebraic identities

Write expressions and equations to represent problem situations


Factorisation of algebraic expression

Factorising quadratic trinomials

Linear Equations in One variable;
Linear Equations in Two variables

Solve linear equations and simultaneous linear equations in two variables, including validating values as solutions

Problems involving on framing and solving linear equation in 1 variable

Framing of linear equation in 2 variables


Understanding Quadrilaterals

Kinds of quadrilaterals and their properties (parallelogram, rhombus, trapezium, etc.)


Sum of the measures of the exterior and interior angles of a polygon



Perimeter and area of 2-dimensional shapes

Use properties of three-dimensional to calculate surface area and volume


Data Handling

Types of graph (frequency distribution tables, bar graphs, double bar graphs, line graphs, histograms. and pie charts)

Summarise data distributions; calculate, use, or interpret mean, mode, median and range


For simple and compound events determine the theoretical probability (based on proportions of favourable outcomes, e.g., rolling a fair die or drawing marbles of a particular colour from a bag)

Estimate empirical probability (based on experimental outcomes)

Scholar Section

Higher Order Thinking Questions - Syllabus as per Classic Section

Sample Papers of Unicus Global Mathematics Olympiad for Class 8:

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