AQALevel 2191 resources
AQA Level 2 Mathematics Past Papers
Download AQA Level 2 Certificate in Mathematics past papers. Paper 1 non-calculator and Paper 2 calculator. 74 resources for secondary and adult mathematics learners.
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191 of 191 resources — page 1 of 8
June 2023
2 filesNovember 2022
2 filesJune 2022
2 filesNovember 2021
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GCSE Mathematics – Question paper (Higher) : Paper 1 Non-calculator – November 2021
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GCSE Mathematics – Question paper (Higher) : Paper 2 Calculator – November 2021
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GCSE Mathematics – Mark scheme (Higher) : Paper 1 Non-calculator – November 2021
Mark Scheme
November 2020
2 filesNovember 2019
3 files📄
GCSE Mathematics – Question paper (Higher) : Paper 1 Non-calculator – November 2019
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GCSE Mathematics – Question paper (Higher) : Paper 2 Calculator – November 2019
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GCSE Mathematics – Question paper (Foundation) : Paper 1 Non-calculator – November 2019
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June 2019
2 filesNovember 2018
3 files📄
GCSE Mathematics – Question paper (Higher) : Paper 1 Non-calculator – November 2018
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GCSE Mathematics – Question paper (Higher) : Paper 2 Calculator – November 2018
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GCSE Mathematics – Question paper (Foundation) : Paper 1 Non-calculator – November 2018
Question Paper
June 2018
2 filesJune 2017
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Secure Numeracy, Algebraic Fluency, and Applied Problem-Solving at GCSE Standard
AQA Level 2 Certificate in Mathematics is assessed at the same standard as GCSE Mathematics and provides an alternative route to a Level 2 mathematics qualification. It is widely used in further education colleges as a route for adult learners retaking mathematics, for 16–18 learners in post-GCSE environments, and for international students seeking a UK-standard mathematics credential.
Paper 1 (non-calculator) tests core arithmetic and algebraic reasoning without computational tools. Topics include integer calculations, fraction and decimal operations, percentages, ratio and proportion, basic algebra (expanding brackets, solving linear equations, simplifying expressions), sequences, properties of 2D and 3D shapes, perimeter, area, volume, and basic statistical representations. The non-calculator paper rewards rapid mental arithmetic, fluent fraction manipulation, and the ability to simplify expressions without relying on decimal approximations.
Paper 2 (calculator allowed) extends into more complex problem-solving across number, algebra, geometry, and statistics. Higher-demand content includes quadratic equations, simultaneous equations, probability calculations, trigonometry in right-angled triangles (SOHCAHTOA), Pythagoras's theorem, cumulative frequency graphs, box plots, and scatter diagrams. The calculator paper tests mathematical reasoning in applied contexts — interpreting a graph, choosing an appropriate method, and communicating results clearly.
Questions range from short one-mark recall items to multi-step problem-solving questions worth four or five marks. The examination rewards students who can identify the method needed, apply it accurately, and show sufficient working to demonstrate their mathematical reasoning — not merely produce a correct final answer.
Exam Paper Structure
Paper 1No calculator
Non-Calculator Mathematics
⏱ Timed examination🎯 marks📊 50% of grade
Integer arithmetic and fraction operationsPercentages, ratio, and proportionBasic algebra and sequencesShape, perimeter, area, and volumeStatistical charts and data reading
Paper 2Calculator ✓
Calculator Mathematics
⏱ Timed examination🎯 marks📊 50% of grade
Quadratic and simultaneous equationsTrigonometry in right-angled trianglesProbability and combined eventsCumulative frequency, box plots, scatter diagramsApplied problem-solving across all topics
Key Information
| Exam Board | AQA |
| Qualification | Level 2 Certificate |
| Standard | Equivalent to GCSE Mathematics |
| Paper 1 | Non-calculator (arithmetic, algebra, shape) |
| Paper 2 | Calculator allowed (problem-solving, statistics, trigonometry) |
| Audience | Adult re-sit learners; post-16 FE college students; international learners |
| Total Resources | 74 |
Key Topics in Mathematics
Topics you need to know
Fraction, decimal, and percentage arithmeticAlgebraic manipulation and solving equationsShape properties and mensurationTrigonometry (SOHCAHTOA) and PythagorasStatistical representations and interpretationProbability and combined eventsMulti-step applied problem-solving
Exam Command Words
| Command word | What the examiner expects |
|---|---|
| Calculate | Perform a numerical computation — show all working to earn method marks |
| Show that | Demonstrate a given result using clear mathematical steps — the answer is provided, so your working must be complete |
| Explain | State what mathematical reasoning or property justifies your answer |
| Estimate | Round values to one significant figure and calculate an approximate answer |
| Prove | Demonstrate a mathematical statement is true using logical, step-by-step reasoning |
Typical Grade Boundaries
| Grade | Approximate mark needed |
|---|---|
| A* | 85-95% |
| A | 70-84% |
| B | 57-69% |
| C | 45-56% |
| D | 33-44% |
⚠️ AQA Level 2 Mathematics is graded A*–G (or equivalent Level 2 grades). Boundaries are published session by session.
Calculator-Free Arithmetic, Algebraic Methods, and Multi-Step Problem Strategy
For the non-calculator paper, the most productive revision strategy is timed practice without a calculator from the start of your preparation — do not use a calculator even when checking answers. This develops the mental speed and number sense the paper demands. Priority areas for non-calculator revision include fraction arithmetic (particularly multiplying mixed numbers and dividing by fractions), percentage calculations without a calculator (10% method extended: "find 10%, halve to get 5%, add to get 15%"), and simplifying algebraic expressions including expanding double brackets by inspection.
For Paper 2, trigonometry is consistently the topic where students lose the most marks. The three SOHCAHTOA ratios apply only in right-angled triangles — identify which side is opposite, which is adjacent, and which is hypotenuse relative to the angle you are working with, not in the abstract. Always sketch the triangle and label the sides before choosing your ratio. If the angle is what you need, use the inverse function: angle = arcsin(opposite/hypotenuse).
Multi-step questions require planning. Before writing calculations, ask: what is the final quantity I need? What information do I have? What intermediate steps connect them? For example, a question about a cylindrical water tank might require you to find the volume, convert to litres, then calculate how many minutes it takes to fill at a given flow rate — three distinct steps, each building on the last. Writing down intermediate results prevents compounding errors.
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