The Pearson Edexcel International GCSE Mathematics A (4MA1) course takes you from number work and algebra to trigonometry, vectors and probability, and it is graded 9 to 1. This guide explains the content, the structure of the papers, how to approach each paper, and a weekly routine for revision. It is written for students of both the Foundation and Higher tiers.
What the course covers
- Number: fractions, decimals, percentages, ratio, powers, roots, standard form, surds and bounds (both Higher).
- Algebra: expressions, equations, inequalities, sequences, graphs, simultaneous equations, quadratics, functions and calculus ideas at Higher tier.
- Geometry: angles, polygons, circles, circle theorems and similarity (Higher), congruence, constructions, transformations and vectors.
- Mensuration: perimeter, area, volume, surface area, arcs, sectors and compound shapes.
- Trigonometry: right-angled triangles and bearings, plus, at Higher tier, exact values, the sine and cosine rules, the area of a triangle and three-dimensional problems.
- Statistics and probability: averages, charts, cumulative frequency and histograms (Higher), single and combined events, and tree diagrams.
How you are assessed
| Tier | Paper | Duration | Marks | Weighting | Calculator |
|---|---|---|---|---|---|
| Foundation (grades 5 to 1) | Paper 1F | 2 h | 100 | 50% | Allowed |
| Foundation (grades 5 to 1) | Paper 2F | 2 h | 100 | 50% | Allowed |
| Higher (grades 9 to 4, with an allowed grade 3) | Paper 1H | 2 h | 100 | 50% | Allowed |
| Higher (grades 9 to 4, with an allowed grade 3) | Paper 2H | 2 h | 100 | 50% | Allowed |
You sit both papers at your tier. A formulae sheet is printed in each paper, so you do not need to memorise everything, but you do need to know what is on it and, more importantly, what is not.
What each paper asks of you
Papers 1 and 2 are similar in style. Both are long, both allow a calculator, and both cover the whole course, so you cannot revise only half of it. Questions usually start with short, accessible parts and become harder towards the end of each question, and the last few questions on a paper are usually the most demanding.
Foundation tier. Aim for secure, accurate working on every question you can do, and show your method clearly. Many marks are awarded for method even when the final answer is wrong, so never leave a calculation with no working. Spend time on the multi-step "problem-solving" questions rather than skipping them.
Higher tier. Expect more algebraic manipulation, proof, circle theorems, vectors and functions. Be careful with exact answers: surds and multiples of \(\pi\) are often wanted. Practise presenting a chain of reasoning, particularly in geometry, where each statement needs a reason.
Both tiers. Use the time well. With 100 marks in 120 minutes you have a little over a minute per mark, so if a question is taking much longer than that, move on and return to it.
Command words and how to answer them
- Work out or calculate: carry out the calculation and show your steps, with units where needed.
- Write down: give the answer directly, with very little working.
- Show that: a result is given, so you must set out every step convincingly until you reach it.
- Solve: find the value or values that make an equation or inequality true.
- Simplify: collect and cancel to give the neatest equivalent form.
- Expand and factorise: multiply out brackets, or write an expression as a product.
- Explain: give a reason in words, linked to the specific numbers or shapes in the question.
- Prove: give a logical argument that works for every case, not just an example.
- Estimate: round values sensibly first, then calculate to give an approximate answer.
Calculators
A scientific calculator is allowed in both papers. Make sure you can use fraction, power, root, bracket and trigonometric functions, switch confidently between degrees and other modes, and use the memory and answer keys. Use the same model in class and in the exam. Be careful to key in brackets properly, particularly for fractions with long numerators or denominators.
Before the exam, build a short checklist of facts that you must recall rather than look up, such as angle rules, circle theorems, index laws, the quadratic formula and the trigonometric ratios. Test yourself on it every few days. Facts that are only half-remembered cost time in the exam and tend to lead to avoidable errors, so be strict with yourself about which ones you truly know.
How to revise this course
- Monday: choose one topic, read the matching revision note, and write a short summary of the methods from memory.
- Tuesday: use the flashcards for that topic, plus a quick review of cards from earlier weeks.
- Wednesday: do 10 to 15 questions from the question bank on the topic, with full working. Check each solution and note why any mark was lost.
- Thursday: redo the questions you got wrong without looking at the solution, then try a mixed set from two older topics.
- Friday: take a timed test of 20 to 30 minutes under exam conditions.
- Weekend: review errors, add them to a mistakes list, and every few weeks complete one full paper in two hours.
Common errors
- Rounding in the middle of a calculation instead of keeping full calculator values until the end.
- Giving an answer without units, or in the wrong units, in area, volume and speed questions.
- Applying a percentage change to the wrong quantity, such as using the new amount as the original.
- Missing the negative solution of a quadratic equation, or the second solution of a trigonometric equation.
- Writing circle theorem answers with no reason, so that a correct angle earns less than it could.
Exam tip: in a multi-step problem, write each stage on its own line with a short label such as "area of base" or "total cost". Clear working helps you spot mistakes and secures method marks even if one number goes wrong.