Confirm your tier before building a revision list
IGCSE Mathematics (CAIE syllabus 0580 and equivalents on other boards) splits into Core and Extended tiers, and the difference is real and substantial — Extended adds whole topics, such as vectors and transformations in more depth, functions (domain, range, composite and inverse functions), and an introduction to differentiation, that Core students do not study at all. Extended also accesses a higher grade ceiling. Confirm which tier you are sitting before deciding what to revise, since a Core-only revision plan will leave real gaps for an Extended student.
The non-calculator / calculator split
Both Core and Extended tiers typically split into a non-calculator paper and a calculator paper. The non-calculator paper rewards confident mental arithmetic, exact fraction and surd manipulation, and clean algebraic technique without the safety net of a calculator to check answers. Revise non-calculator technique separately and deliberately — doing all your practice with a calculator to hand and then sitting a non-calculator paper for the first time on exam day is a common and avoidable mistake.
High-value topics across both tiers
- Number — percentages, ratio and proportion, standard form, and rounding/estimation appear repeatedly across both papers and both tiers, and are foundational to many other topics' questions.
- Algebra and graphs — solving equations, rearranging formulae, and sketching/interpreting graphs (including real-life graphs) are tested heavily and reward methodical, step-shown working.
- Geometry and mensuration — angle facts, circle theorems (where included on your syllabus), area and volume of compound shapes, and similarity/congruence questions are common sources of marks lost to careless diagram misreading rather than genuine lack of knowledge.
- Trigonometry — right-angled trigonometry is shared across tiers; Extended adds the sine rule, cosine rule, and 3D applications.
Show your working — method marks matter
IGCSE Maths mark schemes commonly award method marks for correct working even when the final answer is wrong, and accuracy marks separately for the correct final answer. A final answer with no working shown often earns far fewer marks than the same wrong final answer with clearly correct method visible. Train yourself to write out every step, even ones that feel obvious, especially in non-calculator questions.
Past papers are essential, but read the mark scheme conventions first
CAIE and Edexcel both publish detailed mark scheme notation (e.g. abbreviations like “oe” for “or equivalent”, or specific rules about follow-through marks after an early error). Spend time understanding your board's mark scheme conventions before self-marking past papers, so you are not under- or over-crediting your own practice attempts.
Revising IGCSE Maths with ExamPass.ai
ExamPass.ai generates IGCSE Mathematics topic quizzes and full mock papers with mark schemes matched to your tier and exam board, plus instant AI marking of handwritten working — so you get accurate, board-style feedback on method marks, not just whether your final answer was right.