Mathematics - Revision

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Level	Board	Subject	Paper	Assessment Type	Length	% of Course
GCSE	AQA	Maths	Paper 1: Non-calculator	Written Exam	1h 30m	33%
			Paper 2: Calculator	Written Exam	1h 30m	33%
			Paper 3: Calculator	Written Exam	1h 30m	33%

Specific strategies

Practice Questions

Complete full practice papers.

Work through paper in exam conditions (closed book), then change colour of pen and work through the questions again using your notes etc, to help you.

Use previous tests to identify topics that need improvement.

Flash Cards

Useful for identifies and equations that need memorization.

Eg. a^mx aⁿ = a^m+n

Make posters for key facts and formulas

Display them around your bedroom, to help you memorise all the different formulae.

Revision areas

• Number
• Ratio & Proportion
• Algebra
• Geometry
• Data
• Problem solving
• Mathematical reasoning

A list of sub-topics to help you plan your revision is below.

The AQA specification can be found here:

https://www.aqa.org.uk/subjects/mathematics/gcse/mathematics-8300/specification-at-a-glance

 

Maths (Foundation and Higher Tier)

Topic 1:  Number

• Basic calculation skills and order of operations (BIDMAS)
• Primes, factors and multiples
• Fractions
• Decimals
• Percentages
• Estimation and rounding
• Powers and roots
• Standard form

Topic 2: Ratio & Proportion

• Units of measurement
• Compound units
• Maps and scale drawings
• Calculations with ratio
• Simple and compound growth and decay
• Direct proportion
• Inverse proportion

Topic 3: Algebra

• Simplifying expressions
• Expanding brackets
• Factorising expressions
• Solving linear equations
• Solving quadratic equations
• Simultaneous equations
• Writing, substituting into, and changing the subject of a formula
• Straight-line graphs
• Plotting, sketching and recognising graphs of other functions
• Interpreting graphs
• Inequalities
• Sequences

Topic 4: Geometry

• Properties of shapes and solids
• Construction and loci
• Angle facts, including angles in parallel lines and angles in polygons
• Bearings
• Perimeter of simple and composite shapes; circumference of a circle
• Area of polygons, circles, sectors and composite shapes
• Drawing 3-D shapes, including plans and elevations
• Volume and surface area
• Vector notation, representation and arithmetic
• Transformations
• Congruent triangles and Similarity
• Name parts of a circle
• Pythagoras’ theorem
• Trigonometry in right-angled triangles

Topic 5: Data

• Probability scale
• Calculating probability
• Experimental probability (relative frequency)
• Representing combined events – probability trees and Venn diagrams
• Calculating the probability of combined events
• Populations and samples
• Drawing and interpreting bar charts and pie charts
• Line graphs for time-series data
• Mean, mode and median from a list of data
• Mean, mode and median from a frequency table
• Box plots
• Scatter graphs

Additional topics for Higher Tier only

Topic 1: Number

• Laws of indices, including negative and fractional powers
• Surds
• Bounds of accuracy
• Recurring decimals
• Calculating in standard form
• Estimation and rounding

Topic 2: Ratio & Proportion

• Converting between metric units of length, area and volume
• Compound measures, including pressure, speed and density
• Algebraic and graphical representation of direct proportion
• Direct proportion to the square, square root and other expressions
• Algebraic and graphical representation of inverse proportion
• Comparing ratios

Topic 3: Algebra

• Iteration methods
• Solving quadratic equations by factorising, completing the square or the quadratic formula
• Linear, quadratic and other sequences
• Algebraic fractions
• Circles and their equations
• Graphs of linear, quadratic and cubic functions
• Graphs of exponential and trigonometric functions
• Gradients, including parallel and perpendicular lines
• Areas under graphs
• Inequalities - Graphing linear inequalities, solving linear and quadratic inequalities
• Transformation of curves
• Functions

Topic 4: Geometry

• Using vectors in geometric proofs
• Non right-angled trigonometry (sine rule, cosine rule, area formulae)
• 3D Pythagoras and Trigonometry
• Circle theorems
• Using congruency in proofs
• Using exact values of trigonometric ratios

Topic 5: Data

• Cumulative frequency graphs and box plots
• Histograms
• Comparing data sets using measures of spread and measures of location
• Conditional probability

Study guides/ websites

CGP GCSE Mathematics (For the Grade 9-1 Course) Revision Guide and Workbook

These can be bought through the school for the discounted price for both books.

Here are some helpful websites to help you to revise:

www.hegartymaths.com

www.corbettmaths.com

www.mathsgenie.co.uk

https://mathsbot.com/gcseMenu

Other revision materials can be downloaded from the Mathematics GCSE Revision folder on OneDrive.

Revision sessions

General drop-in sessions, advertised weekly to pupils.

You can bring questions from topics to ask teachers to get help and support or you can just use the space to revise independently.