
GCSE Foundation Maths Revision Notes
Here's a list of topics and question types to help you revise for the Foundation GCSE Maths exam. It has been updated for the new 91 GCSE maths for 2017.
It doesn't contain every single thing you could ever come across, but it's pretty close! We've split it into 4 levels of difficulty, but everyone's different  something we think is hard might be easy for you!
Click here to download the list as a PDF
More basic topics:

Find the highest common factor (HCF), find the lowest common multiple (LCM) and show a number as a product of its prime factors

Know what a square number, cube number and prime number are

Find the order of rotational symmetry

Add, subtract, multiply and divide fractions

Convert between fractions, decimals and percentages

Do long multiplication

Find the percentage of an amount

Name 2D and 3D shapes (these are easily forgotten!)

Know what congruent means

Find parallel lines, acute angles and obtuse angles

Round numbers (e.g. to the nearest ten or to 2 d.p.)

Write a number to a given amount of significant figures (e.g. write 24.576 to 3 sig.fig.)

Write and plot coordinates

Draw plans, side elevations and front elevations from a 3D shape

Answer proportion questions, e.g. when given a recipe for 12 cakes and asked to work out the ingredients for 18 cakes

Convert between different metric units (e.g. how many metres in a kilometre)
Lower Midrange difficulty:

Find the perimeter and area of shapes

Find the volume and surface area of 3D shapes

Find angles on a straight line, at a point, in a triangle and in a quadrilateral

Change between mixed numbers and top heavy fractions

Divide a number into a given ratio, e.g. divide £1200 into the ratio 1 : 2 : 3

Find and use the nth term of a sequence

Collect algebraic terms together to simplify them (e.g. a + a + a + a + a = 5a)

Know how to work with negative numbers, i.e. a minus times a minus equals a plus

Find the mean, median, mode and range

Work out an estimate of a given sum

Complete a 2way table

Multiply decimals (particularly with money problems)

Solve algebraic equations, like 3x + 4 = 13

Click here to download our Quick Fire Algebra Revision Question Sheet
Higher Midrange difficulty:

Work with indices (e.g. a3 x a4, a5 ÷ a2, (a2)3, a2)

Find the area and circumference of a circle, including sectors of circles

Expand brackets (e.g. 2(x + 4) ) and factorise (e.g. 2x²+ 4x)

Work out speed and use a distancetime graph

Describe correlation on a scatter diagram and draw a line of best fit

Use inequalities

Answer questions involving perimeter or area when the lengths are written as algebraic expressions

Solve algebraic equations with unknowns on both sides, like 2x + 4 = x + 8

Substitute values into an equation

Construct a stem and leaf diagram

Draw a line graph when given the equation of the line, e.g. y = 2x + 4

Work out the angles for a pie chart and draw it

Work out currency conversion questions
Higher level of difficulty:

Find the mean and median from grouped frequency tables

Use Standard form

Use Pythagoras’ theorem

Expand a pair of brackets, e.g. (x + 4)(x + 2)

Factorise simple quadratic expressions, e.g. x² + 5x + 6

Solve linear simultaneous equations

Find probability and use probability tree diagrams

Use bearings

Rotate, reflect and translate shapes on a coordinate grid and describe a single transformation

Enlarge a shape by a scale factor, including fractional scale factors

Know and use the rules for angles on parallel lines (alternate, corresponding, opposite, cointerior)

Use compound interest

Find the exterior and interior angles of a polygon

Use trigonometry for rightangled triangles (SOH CAH TOA)

Know the exact values of sin θ and cos θ for θ = 0°, 30°, 45°, 60° and 90°; know the exact value of tan θ for θ = 0°, 30°, 45° and 60°

Work out direct and indirect proportion

Construct triangles, perpendicular bisectors and angle bisectors using a pair of compasses

Work out density and pressure

Understand y = mx + c and use it to find the equation of a line and the equations of parallel lines
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
