O-Level Mathematics
What Is O-Level Mathematics?
O-Level Mathematics builds confidence in number skills, algebra, geometry, measurement, graphs, statistics and probability. It helps students solve mathematical problems accurately and explain their reasoning.
This independent study guide introduces common topics. Exact examination requirements vary by examination board, route and syllabus year; always check the official syllabus for your examination.
Topic-Wise Mathematics Guide
Numbers and Calculations
Integers, fractions, decimals, percentages, ratios, rates, standard form, approximation and bounds.
Algebra
Expressions, expansion, factorisation, linear and quadratic equations, inequalities and algebraic fractions.
Sequences and Functions
Number patterns, sequences, function notation, graphs and relationships between variables.
Coordinate Geometry and Graphs
Straight-line graphs, gradient, midpoint, distance, simultaneous equations and interpreting graphs.
Geometry
Angles, polygons, congruence, similarity, symmetry, constructions and geometric properties.
Mensuration
Perimeter, area, surface area and volume of common plane figures and solids.
Trigonometry
Right-angled triangle trigonometry, sine and cosine rules where applicable, bearings and applications.
Transformations and Vectors
Translations, reflections, rotations, enlargements and basic vector operations.
Statistics and Probability
Organising and displaying data, averages, measures of spread, probability and interpretation of results.
A Simple Worked Example
A product costs $80 and its price increases by 15%. What is the new price?
Solution: Increase = 15% of 80 = 0.15 × 80 = 12. New price = 80 + 12 = $92.
Study Resources
Read the definitions, practise worked examples and revise each topic regularly. Topic-wise MCQs, short questions and step-by-step solutions will be added to this section.
Official Syllabus Reference
Cambridge International O Level Mathematics (official syllabus)