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# 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 re-visit the foundation skills to make sure nothing has been forgotten.

• 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

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