Global math exam archive

Past papers, answer keys, and worked solutions — organized by country.

Korean CSAT, US SAT & AP, and UK A-Level & IGCSE resources in one place, with online workbooks you can grade as you go.

4countries covered
55worked articles
01 🇰🇷

Korea

한국 수학
수능 기출문제 · 평가원 모의고사 · EBS·쌈·비상 교재 답지 · 수학 블로그
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02 🇺🇸

USA

SAT Math · AP Calculus AB/BC · AP Statistics · AMC / AIME / USAMO
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03 🇬🇧

United Kingdom

A-Level Maths · IGCSE Mathematics · TMUA (Cambridge) · MAT (Oxford)
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04 🇨🇦

Canada

Gauss (Grades 7–8) · Pascal / Cayley / Fermat · Euclid · CEMC competitions
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Four exam systems, one subject

Most students who land here are preparing for exactly one of these, and the fastest way to waste a term is to prepare for it as though it were one of the others. The mathematics overlaps heavily — a derivative is a derivative in Seoul, Boston and Cambridge. What differs is what the examiner rewards.

Korean CSAT 수능

Multiple choice and short numeric answers, marked by machine, under hard time pressure. Only the final value earns marks, so the skill being tested is really speed with certainty: recognising the intended route within seconds and not double-checking work you already know is right. Elegant reasoning you cannot finish is worth nothing here.

SAT and AP United States

The SAT rewards reading the question correctly more than it rewards technique; the mathematics rarely goes beyond what a strong Algebra 2 student has seen, and most lost marks are comprehension errors, not algebra. AP Calculus is the opposite: the free-response section awards marks for the steps, so writing down the setup earns credit even when the arithmetic goes wrong at the end. Students who transfer CSAT habits to an AP FRQ routinely lose marks for work they actually did, but did not write.

A-Level and IGCSE United Kingdom

Method marks dominate. Mark schemes are published, they are specific, and they are worth reading as a text in their own right — they tell you exactly which line the examiner is looking for. A correct answer with no visible working can score a fraction of the marks. This is the system where past papers are least optional.

IB Mathematics AA and AI

Two distinct courses, not two difficulties of one. Analysis and Approaches is the algebraic, proof-leaning route; Applications and Interpretation leans on modelling, statistics and the graphing calculator. Choosing between them matters more than most students are told at the time, because university course prerequisites often name one specifically.

Admissions tests TMUA · MAT

These are not harder A-Level papers. They assume less content and demand more insight — problems are built so that the mechanical route runs out of time and the observation does not. Preparing for them by grinding more A-Level questions is the most common wasted effort I see.

Every past paper indexed on this site opens on the exam board’s own website. The explanations, chapters and worked examples are written here. If you find a mistake in one, tell me and I will fix it.

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