IP Advanced Mathematics (A-Math) Summary

Free IP Advanced Mathematics summary covering algebra, trigonometry, calculus, functions, graphing and exam-focused revision.

What it is: A 40-page Integrated Programme Advanced Mathematics summary covering the full A-Math syllabus – simultaneous and quadratic equations, indices, surds, exponentials and logarithms, the binomial theorem, partial fractions, remainder and factor theorem, coordinate geometry, linear law, graphing and functions (IP-only topics), trigonometry and circular functions, differentiation and integration with their applications, and kinematics.
Why you need it: IP Advanced Mathematics is fast-paced and algebra-heavy, building the foundation for A-Level and IB calculus. This summary distils every key method and formula into one quick-reference document so students can revise efficiently rather than work through scattered notes.
Who it’s for: Integrated Programme students in Singapore’s top secondary schools taking Advanced/Additional Mathematics, plus their parents and tutors.
How it helps: With each topic laid out as worked methods and formulae – and IP-only topics such as graphing and functions clearly flagged – it helps students master techniques step-by-step, self-check coverage and walk into exams with the essential toolkit secured.

This comprehensive Integrated Programme Advanced Mathematics summary sheet covers the full A-Math syllabus, bringing together essential formulas, concepts and problem-solving techniques into a single revision resource. Designed for IP students, it provides a structured reference guide for mastering the algebraic and calculus foundations required for higher-level mathematics. Topics include simultaneous and quadratic equations, indices, surds, exponentials and logarithms, the binomial theorem, partial fractions, the remainder and factor theorem, coordinate geometry, linear law, graphing and functions, trigonometry, differentiation, integration and kinematics. By consolidating key methods and formulas into one place, this resource helps students revise more efficiently, strengthen mathematical fluency and build confidence for examinations.