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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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June 2023

8 files

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GCSE Mathematics – Question paper (Higher) : Paper 2 Calculator – June 2023

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GCSE Mathematics – Question paper (Higher) : Paper 1 Non-calculator – June 2023

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GCSE Mathematics – Question paper (Foundation) : Paper 1 Non-calculator – June 2023

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GCSE Mathematics – Mark scheme (Foundation) : Paper 2 Calculator – June 2023

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GCSE Mathematics – Mark scheme (Foundation) : Paper 1 Non-calculator – June 2023

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GCSE Mathematics – Mark scheme (Higher) : Paper 1 Non-calculator – June 2023

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Functional Skills Mathematics – Question paper (Level 1) : Paper 2 Calculator – June 2023

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Functional Skills Mathematics – Mark scheme (Level 1) : Paper 2 Calculator – June 2023

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March 2023

2 files

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Functional Skills Mathematics – Question paper (Level 1) : Paper 1 Non-calculator – March 2023

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Functional Skills Mathematics – Question paper (Level 1) : Paper 2 Calculator – March 2023

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January 2023

3 files

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Functional Skills Mathematics – Question paper (Level 1) : Paper 2 Calculator – January 2023

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Functional Skills Mathematics – Question paper (Level 1) : Paper 1 Non-calculator – January 2023

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Functional Skills Mathematics – Mark scheme (Level 1) : Paper 2 Calculator – January 2023

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November 2022

10 files

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GCSE Mathematics – Question paper (Higher) : Paper 1 Non-calculator – November 2022

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GCSE Mathematics – Question paper (Higher) : Paper 2 Calculator – November 2022

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GCSE Mathematics – Mark scheme (Higher) : Paper 1 Non-calculator – November 2022

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GCSE Mathematics – Question paper (Foundation) : Paper 1 Non-calculator – November 2022

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GCSE Mathematics – Mark scheme (Higher) : Paper 2 Calculator – November 2022

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GCSE Mathematics – Question paper (Foundation) : Paper 2 Calculator – November 2022

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GCSE Mathematics – Mark scheme (Foundation) : Paper 2 Calculator – November 2022

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GCSE Mathematics – Mark scheme (Foundation) : Paper 1 Non-calculator – November 2022

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Functional Skills Mathematics – Question paper (Level 1) : Paper 1 Non-calculator – November 2022

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Functional Skills Mathematics – Question paper (Level 1) : Paper 2 Calculator – November 2022

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June 2022

9 files

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GCSE Mathematics – Question paper (Higher) : Paper 2 Calculator – June 2022

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GCSE Mathematics – Question paper (Higher) : Paper 1 Non-calculator – June 2022

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GCSE Mathematics – Question paper (Foundation) : Paper 1 Non-calculator – June 2022

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GCSE Mathematics – Mark scheme (Foundation) : Paper 2 Calculator – June 2022

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GCSE Mathematics – Mark scheme (Foundation) : Paper 1 Non-calculator – June 2022

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GCSE Mathematics – Mark scheme (Higher) : Paper 1 Non-calculator – June 2022

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Functional Skills Mathematics – Question paper (Level 1) : Paper 2 Calculator – June 2022

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Functional Skills Mathematics – Question paper (Level 1) : Paper 1 Non-calculator – June 2022

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Functional Skills Mathematics – Mark scheme (Level 1) : Paper 2 Calculator – June 2022

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March 2022

2 files

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Functional Skills Mathematics – Question paper (Level 1) : Paper 1 Non-calculator – March 2022

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Functional Skills Mathematics – Question paper (Level 1) : Paper 2 Calculator – March 2022

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January 2022

2 files

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Functional Skills Mathematics – Question paper (Level 1) : Paper 2 Calculator – January 2022

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Functional Skills Mathematics – Question paper (Level 1) : Paper 1 Non-calculator – January 2022

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November 2021

10 files

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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

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GCSE Mathematics – Question paper (Foundation) : Paper 1 Non-calculator – November 2021

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GCSE Mathematics – Mark scheme (Higher) : Paper 2 Calculator – November 2021

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GCSE Mathematics – Question paper (Foundation) : Paper 2 Calculator – November 2021

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GCSE Mathematics – Mark scheme (Foundation) : Paper 2 Calculator – November 2021

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GCSE Mathematics – Mark scheme (Foundation) : Paper 1 Non-calculator – November 2021

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Functional Skills Mathematics – Question paper (Level 1) : Paper 1 Non-calculator – November 2021

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Functional Skills Mathematics – Question paper (Level 1) : Paper 2 Calculator – November 2021

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November 2020

8 files

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GCSE Mathematics – Question paper (Higher) : Paper 1 Non-calculator – November 2020

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GCSE Mathematics – Question paper (Higher) : Paper 2 Calculator – November 2020

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GCSE Mathematics – Question paper (Foundation) : Paper 1 Non-calculator – November 2020

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GCSE Mathematics – Mark scheme (Higher) : Paper 2 Calculator – November 2020

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GCSE Mathematics – Question paper (Foundation) : Paper 2 Calculator – November 2020

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GCSE Mathematics – Mark scheme (Foundation) : Paper 2 Calculator – November 2020

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GCSE Mathematics – Mark scheme (Foundation) : Paper 1 Non-calculator – November 2020

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GCSE Mathematics – Mark scheme (Higher) : Paper 1 Non-calculator – November 2020

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March 2020

3 files

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Functional Skills Mathematics – Question paper (Level 1) : Paper 1 Non-calculator – March 2020

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Functional Skills Mathematics – Question paper (Level 1) : Paper 2 Calculator – March 2020

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Functional Skills Mathematics – Mark scheme (Level 1) : Paper 2 Calculator – March 2020

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January 2020

1 file

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Functional Skills Mathematics – Question paper (Level 1) : Paper 2 Calculator – January 2020

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November 2019

8 files

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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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GCSE Mathematics – Mark scheme (Higher) : Paper 2 Calculator – November 2019

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GCSE Mathematics – Question paper (Foundation) : Paper 2 Calculator – November 2019

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GCSE Mathematics – Mark scheme (Foundation) : Paper 2 Calculator – November 2019

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GCSE Mathematics – Mark scheme (Foundation) : Paper 1 Non-calculator – November 2019

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GCSE Mathematics – Mark scheme (Higher) : Paper 1 Non-calculator – November 2019

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June 2019

6 files

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GCSE Mathematics – Question paper (Higher) : Paper 2 Calculator – June 2019

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GCSE Mathematics – Question paper (Higher) : Paper 1 Non-calculator – June 2019

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GCSE Mathematics – Question paper (Foundation) : Paper 1 Non-calculator – June 2019

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GCSE Mathematics – Mark scheme (Foundation) : Paper 2 Calculator – June 2019

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GCSE Mathematics – Mark scheme (Foundation) : Paper 1 Non-calculator – June 2019

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GCSE Mathematics – Mark scheme (Higher) : Paper 1 Non-calculator – June 2019

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November 2018

7 files

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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

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GCSE Mathematics – Question paper (Foundation) : Paper 2 Calculator – November 2018

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GCSE Mathematics – Mark scheme (Foundation) : Paper 2 Calculator – November 2018

Mark Scheme

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GCSE Mathematics – Mark scheme (Foundation) : Paper 1 Non-calculator – November 2018

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GCSE Mathematics – Mark scheme (Higher) : Paper 1 Non-calculator – November 2018

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June 2018

7 files

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GCSE Mathematics – Question paper (Higher) : Paper 2 Calculator – June 2018

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GCSE Mathematics – Question paper (Higher) : Paper 1 Non-calculator – June 2018

Question Paper

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✅

GCSE Mathematics – Mark scheme (Higher) : Paper 2 Calculator – June 2018

Mark Scheme

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GCSE Mathematics – Question paper (Foundation) : Paper 1 Non-calculator – June 2018

Question Paper

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✅

GCSE Mathematics – Mark scheme (Foundation) : Paper 2 Calculator – June 2018

Mark Scheme

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✅

GCSE Mathematics – Mark scheme (Foundation) : Paper 1 Non-calculator – June 2018

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GCSE Mathematics – Mark scheme (Higher) : Paper 1 Non-calculator – June 2018

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June 2017

7 files

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GCSE Mathematics – Question paper (Higher) : Paper 2 Calculator – June 2017

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GCSE Mathematics – Question paper (Higher) : Paper 1 Non-calculator – June 2017

Question Paper

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✅

GCSE Mathematics – Mark scheme (Higher) : Paper 2 Calculator – June 2017

Mark Scheme

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GCSE Mathematics – Question paper (Foundation) : Paper 2 Calculator – June 2017

Question Paper

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✅

GCSE Mathematics – Mark scheme (Foundation) : Paper 2 Calculator – June 2017

Mark Scheme

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✅

GCSE Mathematics – Mark scheme (Foundation) : Paper 1 Non-calculator – June 2017

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GCSE Mathematics – Mark scheme (Higher) : Paper 1 Non-calculator – June 2017

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November 2017

7 files

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GCSE Mathematics – Question paper (Higher) : Paper 2 Calculator – November 2017

Question Paper

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GCSE Mathematics – Question paper (Higher) : Paper 1 Non-calculator – November 2017

Question Paper

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GCSE Mathematics – Question paper (Foundation) : Paper 2 Calculator – November 2017

Question Paper

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GCSE Mathematics – Question paper (Foundation) : Paper 1 Non-calculator – November 2017

Question Paper

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✅

GCSE Mathematics – Mark scheme (Foundation) : Paper 2 Calculator – November 2017

Mark Scheme

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✅

GCSE Mathematics – Mark scheme (Foundation) : Paper 1 Non-calculator – November 2017

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GCSE Mathematics – Mark scheme (Higher) : Paper 1 Non-calculator – November 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.