Core Mathematics

Learn about subsets, properties of set operations (commutative, associative, distributive), and Venn diagrams.

Understand rational and irrational numbers, represent real numbers on number line, and perform operations.

Work with binomial expressions, factorization, difference of squares, and algebraic fractions.

Simplify surds, perform operations with surds, and rationalize denominators.

Convert between base ten and other bases, solve equations, and perform operations in different bases.

Distinguish between relations and functions, determine mapping rules, and graph linear functions.

Study angles, parallel lines, triangles, quadrilaterals, and polygons with their properties.

Solve linear equations and inequalities, change subject of formula, and solve word problems.

Understand bearings, vector operations, and applications in a plane.

Organize data in frequency tables, represent data graphically, and calculate mean.

Study translation, reflection, and their properties in geometric transformations.

Work with ratios, scales, foreign exchange, rates, and travel graphs.

Solve problems involving percentages, discount, commission, simple interest, and hire purchase.

Calculate values for given modulo, construct addition and multiplication tables.

Work with laws of indices, solve equations, and apply logarithmic rules.

Solve simultaneous equations using graphical, elimination and substitution methods.

Solve compound interest, depreciation, partnership, banking, and tax problems.

Understand and solve problems involving direct, inverse, joint and partial variation.

Draw histograms, calculate mean, draw ogives, and calculate standard deviation.

Determine sample spaces, calculate probabilities, and apply addition/multiplication laws.

Solve quadratic equations, find min/max values, and analyze quadratic graphs.

Calculate arc lengths, perimeters, areas of sectors and segments, and quadrilaterals.

Study circle theorems, tangents, and properties of cyclic quadrilaterals.

Define trigonometric ratios, calculate values, and solve problems with angles of elevation/depression.

Work with arithmetic and geometric progressions, find general terms and sums.

Study rotational symmetry, perform rotations, and understand enlargement.

Construct angles, triangles, quadrilaterals, and loci using geometric principles.

Calculate surface areas and volumes of prisms, cones, pyramids, and spheres.

Work with statements, negations, implications, and use Venn diagrams for logical arguments.

Graph trigonometric functions, solve equations, and identify maximum/minimum values.