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Syllabus
Chapters
- 1Number SystemsThis chapter extends the idea of number from natural numbers to real numbers. It covers rational and irrational numbers, representing numbers on the number line, decimal expansions, operations on real numbers, laws of exponents for real bases, and rationalising denominators.3 min read12 practice Qs→
- 2PolynomialsA polynomial in one variable is an algebraic expression in which the powers of the variable are whole numbers. This chapter covers the degree of a polynomial, zeroes of a polynomial, the Remainder Theorem, the Factor Theorem, factorisation of quadratic and cubic polynomials, and the standard algebraic identities.3 min read12 practice Qs→
- 3Coordinate GeometryCoordinate geometry connects algebra and geometry by fixing the position of a point using a pair of numbers. This chapter introduces the Cartesian plane, the x-axis and y-axis, the origin, quadrants, coordinates of a point, and plotting points from an ordered pair.3 min read12 practice Qs→
- 4Linear Equations in Two VariablesAn equation of the form ax + by + c = 0 (with a and b not both zero) is a linear equation in two variables. This chapter covers writing such equations, finding their solutions as ordered pairs, drawing their graphs as straight lines, and equations of lines parallel to the axes.3 min read12 practice Qs→
- 5Lines and AnglesThis chapter builds the basic results about angles formed by lines: the linear pair axiom, vertically opposite angles, angles made when a transversal cuts two parallel lines (corresponding, alternate, co-interior), and the angle sum property of a triangle with its exterior angle.3 min read12 practice Qs→
- 6TrianglesThis chapter is about congruence of triangles — when two triangles are exact copies of each other. It covers the congruence criteria (SAS, ASA, AAS, SSS, RHS), properties of an isosceles triangle, and basic inequalities relating the sides and angles of a triangle.3 min read12 practice Qs→
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