AQA GCSE Maths Revision Guide

AQA GCSE Maths (8300)

GCSE Maths can feel like a mountain, but with the right info and revision strategies, you can climb it one step at a time. This guide breaks down the AQA exam structure and gives you practical revision tips you can start using today.


📑 How Many Papers Are There?


AQA GCSE Maths (specification 8300) is assessed through three exam papers:


Paper 1 - Non-Calculator

Paper 2 - Calculator

Paper 3 - Calculator


All three papers are equally weighted and contribute one-third of your final grade each. Each paper has a foundation (grades 1-5) and higher tier (grades 4-9). 


👉 All three papers can test content from the entire specification.
However, because Paper 1 is non-calculator and Papers 2 and 3 are calculator, the style of questions changes - meaning certain topics are more likely to appear in certain papers.


AQA GCSE Maths is split into five main areas:


1️⃣ Number
2️⃣ Algebra
3️⃣ Ratio, Proportion & Rates of Change
4️⃣ Geometry & Measures
5️⃣ Probability & Statistics


Below is a simple, student-friendly breakdown of each area and the content you’re expected to know.


🔢 1. Number

Covers core arithmetic and number concepts you use throughout the GCSE.

✦ Key topics:


  • Place value, integers, decimals

  • Factors, multiples, primes, HCF & LCM

  • Fractions (operations, equivalence, reciprocals)

  • Decimals ↔ percentages conversions

  • Rounding & estimation (decimal places, significant figures)

  • Powers & roots, including fractional & negative indices (Higher)

  • Standard form

  • Surds (Higher only)

  • Error intervals / bounds

  • Rational/irrational numbers (Higher)


🧮 2. Algebra

Algebra grows in complexity from basic manipulation to functions, graphs and advanced manipulation.

✦ Key topics:


  • Simplifying expressions

  • Expanding brackets (single, double, triple brackets)

  • Factorising (including quadratics and difference of squares)


  • Solving equations:

    • Linear

    • Quadratic (completing the square, factorising, quadratic formula)

    • Simultaneous equations


  • Rearranging formulae

  • Inequalities (including on number lines and graphs)


  • Sequences:

    • Linear & quadratic

    • Nth term


  • Functions:

    • Substitution

    • Inverse & composite functions (Higher)


  • Graphs:

    • Straight line graphs

    • Quadratics & cubic graphs

    • Reciprocal graphs

    • Exponential graphs

    • Gradient, intercepts, tangents (Higher)


3. Ratio, Proportion & Rates of Change

Highly applied area - lots of real-life context questions.

✦ Key topics:


  • Ratio & proportion

  • Dividing into ratios

  • Best buys

  • Direct & inverse proportion


  • Compound measures:

    • Speed

    • Density

    • Pressure


  • Percentages:

    • Increase, decrease, reverse percentages

    • Compound interest / depreciation


  • Growth & decay

  • Gradients & rates of change (linked with graphs)

  • Interpreting distance–time and velocity–time graphs


📐 4. Geometry & Measures

Shapes, angles, properties, trigonometry and transformations.

✦ Key topics:


Properties & Angles

  • Angles in triangles and polygons

  • Parallel line angle rules

  • Circle theorems (Higher)

  • Congruence & similarity



2D & 3D Shapes - Perimeter, area & volume of:

  • Rectangles, triangles, circles

  • Sectors

  • Cylinders, spheres, cones, pyramids, prisms


Trigonometry

  • SOHCAHTOA (right-angled triangles)

  • Exact trig values (Higher)

  • Sine rule, cosine rule, area of a triangle (Higher)

  • Trigonometric graphs & equations (Higher)


Transformations

  • Reflection

  • Rotation

  • Translation

  • Enlargement (including fractional and negative scale factors)


Coordinate Geometry (Higher-heavy)

  • Gradients

  • Midpoints

  • Equation of a line

  • Tangents


Vectors (Higher)

  • Vector notation

  • Resultant vectors

  • Parallel vectors

  • Geometric vector proofs


🎲 5. Probability

Covers the likelihood of events happening.

✦ Key topics:


  • Basic probability

  • Sample spaces

  • Frequency trees

  • Tree diagrams (with/without replacement)

  • Venn diagrams

  • Set notation (Higher)

  • Combined & conditional probability


📊 6. Statistics

Understanding and interpreting data.

✦ Key topics:


  • Data collection methods

  • Types of data (qualitative, discrete, continuous)

  • Averages: mean, median, mode

  • Range, interquartile range, mean from a table


  • Charts & graphs:

    • Bar charts, pie charts

    • Stem-and-leaf diagrams

    • Frequency polygons

    • Histograms (Higher)

    • Box plots

    • Cumulative frequency


  • Correlation & scatter graphs

  • Lines of best fit


👉How to revise for AQA GCSE Maths

Here are some top tips to make your revision more effective:


1. Focus on Your Weak Spots🧩

Instead of repeatedly practising what you already know, find the topics that trip you up.
Try:


  • Past papers

  • Topic checklists

  • Diagnostic tests (Hegarty, Dr Frost, Corbett Maths)



2. Use Past Papers and Mark Schemes📄

Past papers are gold dust for Maths revision. You will find links to past papers and mark schemes on this page!
When practising:


  • Treat each paper like the real exam

  • Mark your answers using the official mark scheme

  • Identify patterns in the questions

  • Notice where method marks are awarded ✔️



3. Practise Under Timed Conditions⏱️

Maths is as much about speed as accuracy.
Set a timer for 90 minutes and complete a full paper.
This builds:


  • Exam stamina

  • Confidence

  • Time-management skills



 4. Get Comfortable With Your Calculator🧮

Your calculator is your best friend in Papers 2 and 3!
Make sure you can:


  • Use fraction buttons

  • Access previous answers (ANS)

  • Use powers, roots, and scientific notation

  • Apply brackets correctly



5. Ask for Help When Stuck💬 

Teachers, friends, YouTube channels - use them!
You’ll learn quicker by asking questions than battling alone.



 6. Show Your Working✍️

This is so important.
Even if you’re unsure:


  • Write something

  • Try a method

  • Draw a diagram

  • Break the problem down


You can earn partial credit even without the final answer.



 7. Mix Revision With Mini-Breaks🌈

Avoid marathon revision sessions.
Try:


  • 25 minutes work

  • 5 minutes break
    (That’s the Pomodoro technique 🍅)


Your brain will thank you!


Final Thought

Maths isn’t about being “naturally good” - it’s about practice, patience and learning from mistakes. With steady revision and an understanding of the paper structure, you’ll be prepared and confident walking into each exam.

You’ve got this! 💪

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AQA GCSE Maths Paper 1 | Foundation Past Papers


AQA GCSE Maths Paper 1 | Higher Past Papers


AQA GCSE Maths Paper 2 | Foundation Past Papers


AQA GCSE Maths Paper 2 | Higher Past Papers


AQA GCSE Maths Paper 3 | Foundation Past Papers


AQA GCSE Maths Paper 3 | Higher Past Papers