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# Unicus Global Mathematics Olympiad Class 8 Syllabus

### 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 Discount Simple interest Compound interest Direct and Indirect Proportion Direct proportion Inverse proportion Algebra 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 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 Geometry Understanding Quadrilaterals Kinds of quadrilaterals and their properties (parallelogram, rhombus, trapezium, etc.) Polygon Sum of the measures of the exterior and interior angles of a polygon Mensuration Mensuration Perimeter and area of 2-dimensional shapes Use properties of three-dimensional to calculate surface area and volume Statistics 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 Probability 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

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