
GCSE Higher Maths Revision Notes
Here's a list of topics and question types to help you revise for the Higher GCSE Maths exam. It looks short . . . but that's because they are only additional topics; you also need to know all the foundation topics! You will have learnt a LOT of topics, so make sure you revisit the foundation skills to make sure nothing has been forgotten.
Click here to download the list below as a PDF

Use fractional and negative indices

Work with surds (irrational numbers)

Use SOH CAH TOA

Use the Sine and Cosine rules and the rule for area of a triangle

Use all of the circle theorems – check our revision sheet for these

Solve simultaneous equations  try our revision sheet

Factorise quadratic equations (i.e. changing an equation like 2x² + 6x + 4 into (x + 2)(x + 2))

Solve quadratic equations (e.g. x² + 6x + 5 = 0) by factorising

Solve quadratic equations using the formula

Use the “difference of 2 squares”, e.g. x²  9

Work out cumulative frequency, draw the graph and find the median and quartiles

Read and draw a box plot

Create histograms

Create frequency polygons

Understand stretches and shifts of graphs (this is when you have f(x) )

Construct a bisector of an angle and a perpendicular bisector of a line using a pair of compasses

Use a scale factor to find out the missing lengths on similar shapes

Understand that, with similar shapes, you multiply by the scale factor twice when finding area and three times when finding volume

Complete a probability tree

Find the probability of events: know when to multiply the fractions and when to add them

Change the subject of a formula

Use standard form

Use direct proportion and indirect proportion (using the α symbol)

Understand and use vectors

Find the equation of a perpendicular line

Use compound interest

Simplify algebraic fractions

Write recurring decimals as fractions

Use the equations for surface area and volume of spheres and cones

Substitute values into an equation so you can draw the graph

Use upper and lower bounds
If you don't have a GCSE workbook to use for practice, you might find the CGP workbook handy.

Perfect for 11 Plus & SATs Revision
