# Mathematics - Revision

#### % 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. amx an = am+n

### Revision areas

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

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
• 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.

www.hegartymaths.com

www.corbettmaths.com

www.mathsgenie.co.uk