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Suggested Topics for AQA GCSE Maths Paper 3 Higher June 2017


Last updated 8 Jun 2017

Based on the topics that were examined In AQA Paper 1 and Paper 2, here are the topics that have not been yet assessed and may, therefore, come up in AQA GCSE Maths Paper 3 Higher. Worth focusing a fair amount of your remaining revision on these.

This list is available as a single page PDF file for download FREE here.

You may also be interested in our AQA GCSE Maths (Higher) Final Practice Paper 3.  This paper is based on the topics that were not examined in Papers 1 and 2 and may therefore come up in Paper 3.

The Practice Paper costs £5+VAT which includes a copy of the model answers. We're aiming to have this ready for Friday 9th June. If you would like a notification as soon as this is available, subscribe to our email updates in the blue box at the bottom of this page or click here

If you'd like to join our live walk through webinar on Sunday 11th June, where we will show you the best way to answer the questions in this final practice paper, click Register now below.  

Please note that the final practice paper is included in the price of the webinar (£10+VAT) so do not purchase separately if you register for the webinar. This price also includes a recording of the webinar. 

Please note that any of the topics already assessed in Papers 1 and 2 could be assessed again, so use the list published here with that in mind when planning your revision.


  • BIDMAS (brackets)
  • Interpret calculator displays 
  • Estimation, error intervals 
  • Fractions and ratio problems 
  • Recurring decimal to fraction (prove) 
  • Index Laws (division, negative and fractional) 
  • Primes and prime factor decomposition (problem / Venn diagram) 
  • Adding, subtracting, multiplying and dividing fractions (problem)
  • Calculating with standard form (calculator)
  • Upper and lower bounds (including calculations)
  • Simplify and manipulate surds


  • Forming expression, formulae (not from graph) and equations (then solving)
  • Substitution (v = u + at; s = ut +  ½at2; v2 = u2 + 2as)
  • Distance between two coordinates
  • Simplify algebraic indices
  • Expand single and double brackets
  • Linear equations (including variable on both sides)
  • Graphs of linear functions, finding the equation of a line and parallel and perpendicular lines
  • Linear simultaneous equations (graphically and / or form equations from a given problem)
  • Factorise single bracket
  • Factorising quadratic expressions, including difficult where a > 1
  • Quadratic equations (including when needs re-arrangement)
  • Recognise Fibonacci and quadratic sequences
  • nth term of a quadratic sequence
  • Rearranging Formulae (including when subject appears twice and requires factorising)
  • Representing inequalities on a number line
  • Solving linear inequalities
  • Representing linear and quadratic inequalities graphically
  • Solving quadratic inequalities
  • Completing the Square, turning points and maximum / minimum values of function
  • Simultaneous equations (linear/quadratic) including graphically
  • Draw and recognise reciprocal graphs
  • Exponential functions and their graphs (growth and decay)
  • Graphical solution to equations, including quadratic roots
  • Composite and inverse functions (not involving trigonometric or cubic functions)
  • General iterative processes
  • Algebraic fractions
  • Algebra proof
  • Transformations of a function (reflections and / or combination of transformations)

Ratio, Proportion and Rates of Change

  • More (yes more!) ratio and proportion problems
  • Exchange rates
  • Problems involving ratio
  • Converting metric units (as part of real-life problem, e.g. tonnes to kilograms)
  • Scale drawings
  • Express one quantity as the percentage of another
  • Compound interest and financial maths
  • Reverse percentages and reverse percentage change
  • Problems involving compound units (including pressure)
  • Rates of change
  • Inverse proportion
  • Non-standard real life graphs / graphs showing direct and indirect proportion
  • Gradient of graphs
  • Area under a graph (compare estimate with actual)

Geometry and Measures

  • Properties of 2D Shapes
  • Geometric proof (congruence)
  • Geometrical problems, alternate /corresponding angles and angles in polygons
  • Perimeter and area of triangles and quadrilaterals, including trapezium
  • Perimeter and area of composite shapes
  • Circumference of a circle, arc length and perimeter and area of a sector
  • Properties of 3D Shapes including plans and elevations
  • Surface area and volume of prisms, pyramids, cones and spheres
  • Trigonometry (SOH CAH TOA) problems
  • Trigonometry and Pythagoras in 3D
  • Standard constructions using a compass (including triangles)
  • Loci
  • Bearings (possibly with trigonometry or a geometrical problem)
  • Scale factors and similarity (including relationship between length, area and volume)
  • Circle theorems (all)
  • Sine Rule (find length / ambiguous case)
  • Cosine Rule (find angle)


  • Product rule
  • Relative frequency
  • Sampling and unbiased samples
  • Set notation for Venn diagrams
  • Probability trees for both independent events and conditional probability
  • Frequency trees


  • Averages and range, problems and comparing distributions
  • Mean from a discrete frequency table
  • Comparing data on statistical diagrams, including time series graphs
  • Scatter graphs and correlation
  • Constructing a boxplot and comparing box plots
  • Use a cumulative frequency graph to compare distributions (median and IQR)

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