AQA Level 2 Further Mathematics Revision Guide

AQA Level 2 Further Mathematics (8365)

Level 2 Further Maths is a brilliant qualification, but it can definitely feel challenging at times. The good news? With the right revision strategy and a clear understanding of the exams, you can feel confident going in 💪


📑 How Many Papers Are There?


There are two exam papers for AQA Level 2 Further Maths:


  • Paper 1 - Non-calculator

  • Paper 2 - Calculator


AQA Level 2 Further Maths Paper 1


  • Duration: 1 hour 45 minutes 

  • 🏆Marks: 80 marks (50% of the AQA Level 2 Certificate)

  • 📌Content: Although the content pool is the same as Paper 2, Paper 1 requires you to work without a calculator. 


That means you’ll need strong skills in:


  • Algebra manipulation
  • Exact arithmetic (fractions, surds)
  • Graph sketching

  • Coordinate geometry methods
  • Short quantitative reasoning without calculator support


Key topic examples likely to be tested:

  • Algebraic factorising and solving

  • Surds and exact simplification

  • Determining equation of a line

  • Trigonometric identities and exact trig values

  • Differentiation basics without calculator work


  • Question Types: Paper 1 focuses on exact maths, algebra skills and clear reasoning, without relying on a calculator.


You’re more likely to see:


✏️ Algebra-heavy questions


  • Simplifying expressions

  • Expanding and factorising (including harder expressions)

  • Solving equations exactly (linear, quadratic, simultaneous)

  • Algebraic fractions

  • Completing the square

  • Algebraic proof


📐Exact geometry and trigonometry

  • Trigonometry using exact values (e.g. √3, ½)

  • Trig identities

  • Pythagoras and geometric reasoning

  • Angle problems requiring logical steps


📈Coordinate geometry 

  • Finding gradients and equations of straight lines

  • Distance and midpoint using exact arithmetic

  • Equations of circles

  • Sketching graphs by hand


📊Calculus with simple coefficients

  • Differentiation using standard rules

  • Finding gradients of curves

  • Turning points (max/min) with clean numbers


🔢 Short, accuracy-based questions

  • Simplifying surds

  • Using indices laws

  • Writing down domains or ranges

AQA Level 2 Further Maths Paper 2


📑 Paper 2: Calculator


  • Duration: 1 hours 45 minutes 


  • 🏆Marks:  80 marks (50% of the AQA Level 2 Certificate)


  • 📌Content: Paper 2 covers exactly the same range of topics as Paper 1 - there’s no separate “Calculator content” list - but a calculator is permitted, so problems can involve:


  • Numerical calculus problems
  • Matrix arithmetic and transformations
  • Complex trigonometry involving decimals

  • Coordinate geometry with calculator help
  • Mixed multi-stage problem solving


Because a calculator is allowed, Paper 2 questions may include:


Using your calculator to solve tricky equations 🔢

This includes equations that are hard (or impossible) to solve exactly, so you use trial-and-improvement or calculator features to find an approximate solution


Applying maths to real-life situations with calculator help 🧮

These questions often involve longer calculations, decimals or realistic data where a calculator helps you focus on the maths, not the arithmetic


  • Question Types: Paper 2 allows a calculator, so questions often involve longer calculations, decimals or real-life contexts.


You’re more likely to see:


🔢 Numerical problem-solving

  • Working with awkward numbers or decimals

  • Checking values using a calculator

  • Solving equations that don’t give “nice” answers


📉 Applied calculus questions

  • Using differentiation to solve problems

  • Finding numerical values of gradients

  • Calculus questions in real-life contexts (e.g. optimisation)


🧮 Matrices

  • Matrix multiplication

  • Using matrices to describe transformations

  • Applying matrix methods step by step


📈 Graphs and interpretation

  • Interpreting graphs and functions

  • Reading values from graphs

  • Applying transformations to functions


🌍 Context-based questions

  • Problems set in real-life situations

  • Multi-step questions where maths is applied to a scenario

  • Questions where the numbers are more realistic

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👉How to revise for AQA Level 2 Further Maths

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


1.Master the basics first 🧱

Further Maths builds on Higher GCSE content, so make sure you’re confident with:


  • Rearranging equations

  • Factorising

  • Solving quadratics

  • Trigonometry basics


Strong foundations = easier progress later 


2.Learn methods, not just answers

Markers reward correct working, even if your final answer isn’t perfect.


  • Write out full solutions

  • Practise setting work out neatly

  • Don’t skip steps (especially in algebra and calculus!)


3. Practise exam-style questions 📝

This is one of the most important revision techniques:


  • Use past papers and practice papers

  • Time yourself 

  • Get used to multi-step questions


Afterwards, check mark schemes carefully to see how marks are awarded.


4. Focus on the “new” topics 

Topics like calculus and matrices are new for many students, so:


  • Practise them little and often

  • Make summary notes of key rules and formulas

  • Redo questions until the methods feel automatic


5. Use your calculator properly 🧮

Since calculators are allowed in paper 2:


  • Learn how to check answers

  • Use it to verify algebra or numerical results

  • But remember – you still need to show working!


6. Don’t panic if it feels hard 😌

Further Maths is meant to be challenging. Feeling stuck at times is normal, not a sign you’re bad at maths.


  • Ask for help

  • Revisit topics multiple times

  • Celebrate small improvements 🎉


Final tips 🌟

  • Start revision early

  • Mix topics in each session

  • Practise explaining your thinking

  • Stay positive and believe in your progress 


With consistent practice and smart revision, Level 2 Further Maths is absolutely manageable. You’ve got this!