IAL Maths Exam Questions by Topic
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Free exam-style questions for Pearson Edexcel International A Level Mathematics, organised by module and by textbook chapter. Every chapter has ten questions and a full mark scheme, and every module has a complete booklet you can download in one go.
Pure 1 has nine chapters and 602 marks of exam-style questions, about twelve hours of practice in total. It starts with algebraic expressions, quadratics and inequalities, moves through graphs, straight lines and trigonometry in degrees and radians, and finishes with the first steps in differentiation and integration. Surds and indices from Chapter 1 come back in almost every later chapter, so it is worth securing those first.
Pure 1 Chapter Questions & Mark Schemes
The eight Pure 2 chapters carry 536 marks between them. Proof and the factor theorem open the module, followed by circles, logarithms, the binomial expansion and sequences and series. Trigonometric identities lead into the calculus of stationary points, definite integrals and areas. Many questions are set in context, such as growth models and optimisation, so expect to read carefully before you calculate.
Pure 2 Chapter Questions & Mark Schemes
With eight chapters and 600 marks, Pure 3 is where the calculus becomes powerful. Algebraic fractions and functions come first, then sec, cosec and cot, the addition formulae and R forms. The chain, product and quotient rules arrive alongside e and ln, followed by integration of exponential, logarithmic and trigonometric functions. The last chapter finds roots numerically, for equations that algebra cannot solve.
Pure 3 Chapter Questions & Mark Schemes
Pure 4 brings A level pure mathematics to a close across seven chapters worth 557 marks. Proof by contradiction comes first, then partial fractions, parametric equations and the binomial expansion for any power. Its two largest chapters cover implicit and parametric differentiation, and integration by substitution and by parts, with volumes and differential equations. Vectors in three dimensions finish the module.
Pure 4 Chapter Questions & Mark Schemes
Statistics 1 is covered in six chapters, numbered 2 to 7 to match the textbook, whose first chapter on modelling is not examined on its own. Together they hold 492 marks. Averages, spread and coding come first, then histograms, box plots and outliers, followed by probability with Venn and tree diagrams. Correlation and regression, discrete random variables and the normal distribution complete the module.
Statistics 1 Chapter Questions & Mark Schemes
Mechanics 1 runs from Chapter 2 to Chapter 8, matching the textbook, across seven chapters and 576 marks. Constant acceleration and vectors build the language of motion. Newton's laws then drive the chapters on dynamics, friction and inclined planes. Momentum and impulse cover collisions, and the module closes with forces in equilibrium and moments on rods and beams.
Mechanics 1 Chapter Questions & Mark Schemes
How each chapter works
Each chapter opens with a key skills page listing every technique its questions test, then ten questions in real exam format, with ruled answer space and the marks shown for every part. Questions 1 to 5 check each skill on its own. Questions 6 to 10 are longer, multi-step questions built like the final questions on a real paper: one part leads into the next, and topics from earlier chapters come back in, just as they do in the exam. The mark scheme sets out every M, A and B mark line by line, with notes on what examiners accept.
How to use them
Pick a chapter you have finished in class and sit it in one go, with the mark scheme closed and the suggested time on the clock. Then mark it honestly against the scheme. Where you lost marks tells you more than your score. If it was the first five questions, go back to the method: the linked worksheet or revision engine is the quickest way. If it was the last five, the method is fine and the gap is applying it, which is what more exam questions fix. When every chapter is done, the full booklet makes a good final check before the exam.
Common questions
Are these real past paper questions? No. Every question is an original exam-style question, written to match the question types, difficulty and presentation of real Edexcel IAL papers. Are they free? Yes. Every booklet and mark scheme is free to download, with no account needed. Teachers are welcome to use them in class or set them as homework. How are these different from the worksheets? The worksheets build a skill step by step, through fluency, reasoning and problem solving. These booklets test a whole chapter the way the exam does, with exam formatting, marks and a mark scheme. Which modules are covered? Pure 1 (WMA11), Pure 2 (WMA12), Pure 3 (WMA13), Pure 4 (WMA14), Statistics 1 (WST01) and Mechanics 1 (WME01). The chapters follow the Pearson textbooks, so Chapter 5 here is Chapter 5 in your book.
Which module comes first?
The Pearson Edexcel International A Level in Mathematics is built from units. The International AS uses Pure 1 and Pure 2 with one applied unit, such as Statistics 1 or Mechanics 1. The full International A Level adds Pure 3, Pure 4 and a second applied unit. Most students take Pure 1 and Pure 2 in the first year and Pure 3 and Pure 4 in the second, so the booklets below follow that order.
Exam questions by topic or past papers?
Use both, at different times. Practising by topic is best while you are still learning a chapter, because every question tests the same set of skills and the mistakes are easy to trace back. Full past papers come later, once the content is covered, and train you to switch between topics under time pressure. These booklets are the first step: when a chapter feels secure here, it will hold up in a full paper.
More free IAL maths practice
Need to build a skill before trying the exam questions? Every chapter page links to a matching worksheet, and most link to a revision engine for quick, marked practice. You can also browse every worksheet on the maths worksheets hub or study a topic from scratch with our free maths courses.