Number
15–20% of totalPlace value, integers, fractions, decimals, percentages, surds, indices, standard form, rounding & estimation, error intervals.
- Surds simplification
- Standard form arithmetic
- Reverse percentages
- Bounds calculations
Edexcel GCSE
Edexcel GCSE Mathematics past papers, mark schemes & revision
Every Edexcel GCSE Mathematics past paper, mark scheme, examiner report, topic breakdown, worked example, and revision plan — all on one page.
Specification · 1MA1
What you’ll sit
You will sit three papers, each 1 hour 30 minutes and worth 80 marks. Paper 1 is non-calculator; Papers 2 and 3 are calculator-allowed. Edexcel question style runs to longer, real-world-context worded problems (designing a fence, planning a journey, costing materials) more than AQA — the maths is the same, but the comprehension demand is higher. Higher tier covers grades 4–9, Foundation tier grades 1–5. Schools enter you based on year-10 mock data. Papers sit in May/June; results late August.
Paper structure
Three papers · 80 marks each · 1h 30m each · Paper 1 non-calculator, Papers 2 & 3 calculator allowed · Available at Higher (grades 4-9) and Foundation (grades 1-5) tiers
Awarded by
Edexcel (Pearson). Exam code 1MA1. Specification page: Edexcel GCSE Mathematics.
Past papers · Edexcel GCSE Mathematics
Every paper, every year, with mark schemes
Below is the official series of Edexcel GCSE Mathematics past papers from 2018 onward. Each paper, mark scheme, and examiner report is free to download from the Edexcel assessment-resources hub. Open the Edexcel hub →
| Year | Paper | Tier | Duration | Marks | Download |
|---|---|---|---|---|---|
| 2024 | Paper 1 | Higher | 1h 30m | 80 | Edexcel hub → |
| Paper 2 | Higher | 1h 30m | 80 | Edexcel hub → | |
| Paper 3 | Higher | 1h 30m | 80 | Edexcel hub → | |
| Paper 1 | Foundation | 1h 30m | 80 | Edexcel hub → | |
| Paper 2 | Foundation | 1h 30m | 80 | Edexcel hub → | |
| Paper 3 | Foundation | 1h 30m | 80 | Edexcel hub → | |
| 2023 | Paper 1 | Higher | 1h 30m | 80 | Edexcel hub → |
| Paper 2 | Higher | 1h 30m | 80 | Edexcel hub → | |
| Paper 3 | Higher | 1h 30m | 80 | Edexcel hub → | |
| Paper 1 | Foundation | 1h 30m | 80 | Edexcel hub → | |
| Paper 2 | Foundation | 1h 30m | 80 | Edexcel hub → | |
| Paper 3 | Foundation | 1h 30m | 80 | Edexcel hub → | |
| 2022 | Paper 1 | Higher | 1h 30m | 80 | Edexcel hub → |
| Paper 2 | Higher | 1h 30m | 80 | Edexcel hub → | |
| Paper 3 | Higher | 1h 30m | 80 | Edexcel hub → | |
| Paper 1 | Foundation | 1h 30m | 80 | Edexcel hub → | |
| Paper 2 | Foundation | 1h 30m | 80 | Edexcel hub → | |
| Paper 3 | Foundation | 1h 30m | 80 | Edexcel hub → | |
| 2021 | Paper 1 | Higher | 1h 30m | 80 | Edexcel hub → |
| Paper 2 | Higher | 1h 30m | 80 | Edexcel hub → | |
| Paper 3 | Higher | 1h 30m | 80 | Edexcel hub → | |
| 2020 | — | — | — | — | Edexcel hub → |
| 2019 | Paper 1 | Higher | 1h 30m | 80 | Edexcel hub → |
| Paper 2 | Higher | 1h 30m | 80 | Edexcel hub → | |
| Paper 3 | Higher | 1h 30m | 80 | Edexcel hub → | |
| 2018 | Paper 1 | Higher | 1h 30m | 80 | Edexcel hub → |
| Paper 2 | Higher | 1h 30m | 80 | Edexcel hub → | |
| Paper 3 | Higher | 1h 30m | 80 | Edexcel hub → |
Topics · full specification
Every topic in the Edexcel GCSE Mathematics specification
Each topic links to a deeper revision guide. The mark allocation column shows roughly how many marks per paper that topic typically attracts.
Algebra
25–30% of totalExpressions, equations, inequalities, sequences (linear, quadratic, geometric, Fibonacci), graphs of linear & quadratic & cubic & exponential functions, simultaneous equations, completing the square, function notation.
- Quadratic formula
- Completing the square
- Solving by factorisation
- Solving simultaneous linear-quadratic
- Drawing & interpreting cubic graphs
Ratio, proportion & rates of change
15–20% of totalDirect & inverse proportion, compound measures (speed, density, pressure), best-buy problems, percentage change & growth/decay, exchange rates, gradient as rate.
- Setting up proportionality equations (y = kx, y = k/x)
- Multi-stage percentage compound change
- Density & pressure word problems
Geometry & measures
20–25% of totalProperties of shapes, angles in parallel lines, polygons, circle theorems, congruence & similarity, area & volume, transformations (translation, rotation, reflection, enlargement), Pythagoras, trigonometry (SOHCAHTOA & sine/cosine rules), vectors.
- Sine rule / cosine rule
- Circle theorems (alternate segment, tangent-radius, cyclic quadrilateral)
- Vector geometry proofs
- 3D Pythagoras and trigonometry
Probability
5–10% of totalListing outcomes, probability scales, mutually exclusive events, tree diagrams, Venn diagrams, conditional probability (Higher only), expected frequency, relative frequency vs theoretical.
- Tree diagrams with replacement / without replacement
- Venn diagrams with set notation (A∩B, A∪B, A')
- Conditional probability via tree diagrams
Statistics
5–10% of totalAverages (mean, median, mode), spread (range, IQR), data representation (pie charts, bar charts, frequency tables, histograms, cumulative-frequency curves, box plots), correlation & line of best fit, scatter graphs, sampling.
- Estimated mean from grouped data
- Reading cumulative frequency curves
- Histograms with frequency density
Assessment objectives
How your marks are awarded
Examiners award marks against three Assessment Objectives. Knowing the split helps you target practice — most students under-prepare for AO3.
AO1 Higher: 40% · Foundation: 50%
Use and apply standard techniques
Recall facts and procedures, use mathematical notation, perform routine procedures (e.g. arithmetic, algebraic manipulation, solving standard equations).
AO2 Higher: 30% · Foundation: 25%
Reason, interpret and communicate mathematically
Make deductions and inferences, explain steps in a solution, interpret diagrams and information, present arguments clearly.
AO3 Higher: 30% · Foundation: 25%
Solve problems within mathematics and in other contexts
Translate problems into mathematical processes, interpret results in context, evaluate methods, identify assumptions.
Worked examples · step by step
How to actually answer these questions
Each worked example shows the full mark-scheme path. Steps map to where examiners typically award method (M) and accuracy (A) marks.
Solving a quadratic by completing the square (Higher)
Question. Solve x² − 6x + 2 = 0 by completing the square. Give your answer in surd form.
- 1. Half the coefficient of x. Half of −6 is −3. Square it: 9.
- 2. Rewrite the quadratic. x² − 6x + 2 = (x − 3)² − 9 + 2 = (x − 3)² − 7.
- 3. Set equal to zero and isolate. (x − 3)² − 7 = 0 ⟹ (x − 3)² = 7.
- 4. Take the square root. x − 3 = ±√7.
- 5. Solve for x. x = 3 + √7 or x = 3 − √7.
Answer x = 3 ± √7
Examiner tip. AQA mark schemes award an "M1" mark for correctly identifying the half-coefficient step and an "A1" for the surd form — don't convert to decimals.
Conditional probability via a tree diagram (Higher)
Question. A bag contains 5 red and 3 blue marbles. Two marbles are drawn without replacement. What is the probability that exactly one is red?
- 1. Identify the two outcomes. Exactly one red = (Red then Blue) OR (Blue then Red).
- 2. Probability of Red then Blue. P(R) × P(B | R) = 5/8 × 3/7 = 15/56.
- 3. Probability of Blue then Red. P(B) × P(R | B) = 3/8 × 5/7 = 15/56.
- 4. Add (mutually exclusive). 15/56 + 15/56 = 30/56 = 15/28.
Answer P(exactly one red) = 15/28
Examiner tip. Always check whether you should add or multiply: "and" means multiply along a branch, "or" means add between branches. Reduce fractions to lowest terms for the final mark.
A typical Edexcel "best buy" question (Higher)
Question. Yoghurt is sold in three sizes: small (150g for £0.80), medium (250g for £1.30), and large (500g for £2.40). Calculate the price per 100g for each size and state which offers the best value. Show all working.
- 1. Small per 100g. £0.80 ÷ 1.5 = £0.5333… ≈ £0.53 per 100g.
- 2. Medium per 100g. £1.30 ÷ 2.5 = £0.52 per 100g.
- 3. Large per 100g. £2.40 ÷ 5.0 = £0.48 per 100g.
- 4. Compare and answer in context. The large size is the best value, at £0.48 per 100g compared to £0.52 (medium) and £0.53 (small).
Answer Large is the best value (£0.48 per 100g, which is 5p cheaper per 100g than the medium).
Examiner tip. Edexcel awards 1 mark for each correct unit-rate calculation (3 marks for the arithmetic) and 1 mark for the comparison sentence in context. Don't skip the explanation.
Examiner-report distilled
The mistakes most candidates make
Pulled from Edexcel’s own examiner reports across recent series. Each one costs marks. Each one is fixable.
Mistake 1
Skipping the words "in the context of…" in Edexcel multi-part questions and giving a numerical answer without interpretation.
Fix. On every multi-part question, the final part typically asks for an answer in context — always write a sentence explaining what your number means.
Mistake 2
Edexcel's worded problems mix units (cm, m, mm) inside a single question.
Fix. Convert everything to a single unit on the very first line of working — don't carry mixed units through.
Mistake 3
Treating "find the gradient" and "find the equation of the line" as the same task.
Fix. Gradient gives one number. Equation gives y = mx + c (or similar). Edexcel marks them separately.
Mistake 4
Not showing the simultaneous-equation method when asked to "solve algebraically".
Fix. Edexcel mark schemes require the elimination or substitution method to be visible — trial-and-error or graphical answers lose method marks.
Mistake 5
Approximating π or using 22/7 when the question says "leave your answer in terms of π".
Fix. Leave π as a symbol. The mark is for an exact answer like 6π, not 18.85.
Formulae · memorise or know-where-to-find
Key formulae for Edexcel GCSE Mathematics
Some are on the equation sheet; some are not. Highlighted ones are the ones examiners report as most often forgotten in exam pressure.
| Name | Expression | When to use |
|---|---|---|
| Quadratic formula | x = (−b ± √(b² − 4ac)) / 2a | Solving any quadratic ax² + bx + c = 0 that doesn't factor neatly. |
| Pythagoras' theorem | a² + b² = c² | Finding the third side of a right-angled triangle. |
| Sine rule | a / sin A = b / sin B = c / sin C | Non-right triangle: have two angles + one side, or two sides + non-included angle. |
| Cosine rule | a² = b² + c² − 2bc·cos A | Non-right triangle: have three sides (to find an angle) or two sides + included angle (to find third side). |
| Area of triangle (non-right) | Area = ½ab·sin C | When you have two sides and the included angle. |
| Volume of cone | V = ⅓πr²h | Cone or frustum problems. |
| Volume of sphere | V = ⁴⁄₃πr³ | Anywhere a sphere appears (radius given). |
| Compound interest | A = P(1 + r/100)ⁿ | Multi-year percentage growth / decay (use r negative for decay). |
Grade boundaries · most recent series
What it took to hit each grade
Indicative boundaries from the most recent published series. Boundaries shift slightly year to year. Open the grade-boundary calculator →
| Tier | Grade | Marks | % of total |
|---|---|---|---|
| Higher | 9 | 203 | 84.6% |
| Higher | 7 | 145 | 60.4% |
| Higher | 4 | 56 | 23.3% |
| Foundation | 5 | 160 | 66.7% |
| Foundation | 4 | 128 | 53.3% |
| Foundation | 1 | 25 | 10.4% |
Revision plan · 8 weeks to exam
An 8-week plan that actually works
A staged sequence designed by examiners, not motivational posters. Each block has a single focus and a single measurable outcome.
- 1
Weeks 8–6 before paper 1
Number + Algebra fundamentals — surds, indices, standard form, expanding & factorising, solving linear & quadratic.
Outcome. Confidence on the first 60% of Paper 1 marks.
- 2
Weeks 6–4
Geometry + Trigonometry — angles, Pythagoras, SOHCAHTOA, sine/cosine rules, 3D problems.
Outcome. Comfortable with any triangle-based question.
- 3
Weeks 4–2
Statistics + Probability — tree diagrams, Venn diagrams, cumulative frequency, histograms.
Outcome. Solid on the predictable stats topics across Papers 2 and 3.
- 4
Final 2 weeks
Past papers under timed conditions, one per session, marked and corrected the same day.
Outcome. Exam-ready: knows the question style, pacing, and own weak spots.
Last reviewed 26 May 2026.
Related · explore the spec further
More on Edexcel GCSE Mathematics
About Edexcel GCSE Mathematics
Edexcel, part of Pearson, offers internationally recognised GCSE and A-Level qualifications. Their specifications emphasise real-world application and are popular in both state and independent schools.
Edexcel GCSE Mathematics comprises three equally-weighted papers, each worth 80 marks and lasting 90 minutes, totalling 240 marks. You'll sit one non-calculator paper and two calculator papers, with a 1:1 ratio of calculator to non-calculator content across the qualification. Edexcel's specification emphasises mathematical reasoning and real-world problem-solving, featuring contextualised questions that test your ability to apply concepts to practical scenarios. Their marking approach rewards working and method as much as final answers, making clear communication of your mathematical thinking essential. Compared to other boards, Edexcel integrates financial mathematics and applied statistics more prominently throughout their papers.
Topics in Edexcel GCSE Mathematics
1 Number
2 Algebra
3 Ratio & Proportion
4 Geometry & Measures
5 Probability
6 Statistics
7 Trigonometry
8 Graphs
9 Sequences
10 Vectors
Study Tips for Edexcel Mathematics
1
Familiarise yourself with Edexcel's mark distribution across their three papers. Each paper weights Foundation tier (Grades 1-5) and Higher tier (Grades 4-9) differently. Use Edexcel's specimen papers and past papers to understand how marks cluster around certain question types—particularly their preference for multi-step problems that require you to select appropriate methods rather than follow step-by-step instructions.
2
Master Edexcel's non-calculator paper first, as this tests your fundamental number skills and algebraic manipulation without technology support. This 90-minute paper requires fluency in fractions, surds, and mental arithmetic. Practice timed non-calculator papers weekly to build confidence, as Edexcel explicitly tests conceptual understanding here rather than procedural speed.
3
Use Edexcel's specification document to cross-reference every topic with their worked examples. Edexcel emphasises 'reasoning' and 'problem-solving' as distinct skill areas. When revising, categorise problems as computational, reasoning-based, or applied, as Edexcel papers always include all three types. This prevents gaps where you can calculate but cannot interpret or apply concepts.
4
Create revision notes aligned to Edexcel's assessment objectives (AO1: fluency, AO2: reasoning, AO3: problem-solving). Edexcel's papers deliberately mix these objectives within single questions. When practising, explicitly identify which objective each question targets, ensuring balanced revision across all three rather than focusing only on straightforward calculations.
Exam Tips for Edexcel Mathematics
1
On Edexcel's calculator papers, always show your working even for calculator-based questions. Edexcel awards method marks generously—if your working is correct but your final answer isn't, you'll still gain substantial marks. Allocate time proportionally: Foundation questions (typically 2-3 marks) require 3-4 minutes, while Higher questions (4-6 marks) need 5-8 minutes. Don't rush to finish; maximising method marks is more valuable than attempting every question.
2
Edexcel frequently uses command words like 'show that', 'prove', 'explain', and 'justify' rather than just 'calculate' or 'find'. When you see 'show that', you must demonstrate the complete working to reach the given answer—Edexcel won't award full marks for just stating it. Read questions twice to identify these command words; they signal whether rigorous justification is needed alongside calculation.
3
Manage the non-calculator paper strategically. With no calculator available for 90 minutes, pace yourself to avoid rushing through final questions. Edexcel often places the most demanding reasoning questions last, so allocate sufficient time to these. If a non-calculator question becomes too time-consuming, move on and return later—securing marks on easier questions prevents panic-induced errors on harder ones.
Frequently Asked Questions
How many papers are in Edexcel GCSE Mathematics?
Edexcel GCSE Mathematics consists of three papers: Paper 1 (non-calculator, 90 minutes, 80 marks), Paper 2 (calculator, 90 minutes, 80 marks), and Paper 3 (calculator, 90 minutes, 80 marks). All three papers are equally weighted. You sit all three at either Foundation tier (targeting Grades 1-5) or Higher tier (targeting Grades 4-9), with no crossover between tiers allowed.
What topics does Edexcel GCSE Mathematics cover?
Edexcel's specification covers nine interconnected topic areas: Number (including surds, indices, and standard form), Algebra (equations, inequalities, functions, sequences), Ratio & Proportion (including percentages and growth), Geometry & Measures (angles, constructions, Pythagoras, trigonometry), Probability (experimental and theoretical), Statistics (data collection, analysis, interpretation), Trigonometry (sine/cosine rules, area formulas), Graphs (linear, quadratic, exponential, trigonometric), and Vectors. Each topic integrates financial mathematics and real-world contexts throughout.
Is Edexcel GCSE Mathematics hard?
Edexcel GCSE Mathematics difficulty depends on your tier choice and prior attainment. Edexcel's Higher tier is considered rigorous, with multi-step problems requiring synthesis of several topics. However, Edexcel's Foundation tier is more accessible, with clearer scaffolding in early paper questions. Edexcel's specification rewards clear mathematical reasoning alongside calculation, so if you excel at explaining your thinking, you'll find the mark allocation favourable. Difficulty increases through each paper, so practicing past papers under timed conditions is essential to gauge your readiness.
Edexcel GCSE Mathematics Study Guides
GCSE Maths Algebra: From Basics to Complex Problem Solving
Complete GCSE Maths algebra revision from simplifying expressions to solving quadratics. Clear worked examples and practice questions for every topic.
GCSE Maths Geometry and Measures: Essential Revision Guide
Master GCSE Maths geometry and measures. Cover angles, shapes, transformations, and trigonometry with clear explanations and worked examples.
GCSE Maths Number: Fractions, Percentages, and Ratios Guide
Master GCSE Maths Number topics including fractions, percentages, ratios, and standard form. Clear explanations with worked examples at every level.
GCSE Maths Statistics and Probability: Complete Revision Guide
Master GCSE Maths statistics and probability. Cover averages, charts, probability trees, and Venn diagrams with clear worked examples for your exam.
Useful Resources
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