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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.
Click here to download the list below as a PDF
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Use fractional and negative indices
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Work with surds (irrational numbers)
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Use SOH CAH TOA
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Use the Sine and Cosine rules and the rule for area of a triangle
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Use all of the circle theorems – check our revision sheet for these
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Solve simultaneous equations - try our revision sheet
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Factorise quadratic equations (i.e. changing an equation like 2x² + 6x + 4 into (x + 2)(x + 2))
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Solve quadratic equations (e.g. x² + 6x + 5 = 0) by factorising
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Solve quadratic equations using the formula
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Use the “difference of 2 squares”, e.g. x² - 9
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Work out cumulative frequency, draw the graph and find the median and quartiles
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Read and draw a box plot
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Create histograms
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Create frequency polygons
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Understand stretches and shifts of graphs (this is when you have f(x) )
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Construct a bisector of an angle and a perpendicular bisector of a line using a pair of compasses
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Use a scale factor to find out the missing lengths on similar shapes
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Understand that, with similar shapes, you multiply by the scale factor twice when finding area and three times when finding volume
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Complete a probability tree
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Find the probability of events: know when to multiply the fractions and when to add them
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Change the subject of a formula
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Use standard form
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Use direct proportion and indirect proportion (using the α symbol)
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Understand and use vectors
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Find the equation of a perpendicular line
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Use compound interest
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Simplify algebraic fractions
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Write recurring decimals as fractions
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Use the equations for surface area and volume of spheres and cones
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Substitute values into an equation so you can draw the graph
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Use upper and lower bounds
If you don't have a GCSE workbook to use for practice, you might find the CGP workbook handy.
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Perfect for 11 Plus & SATs Revision
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