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GCSE Maths Higher Tier

GCSE Maths Higher Tier

Dates Available

  • Week 1: Monday 25 March – Friday 29 March
  • Week 2: Monday 1 April – Friday 5 April
  • Week 3: Monday 8 April – Friday 12 April


All boards

Length of Course

20 hours


9am to 1pm daily or 2pm to 6pm daily

The emphasis given to each topic will vary according to the strengths and weaknesses of the students in the groups and the syllabuses for which they have been taught. It is therefore important that students give as much detail as possible on the questionnaire about their syllabus and any specific areas of difficulty. Non-Calculator work will also be undertaken, as this skill forms part of the assessment criteria.

The main topic areas covered will include:

1-2: Number and Algebra

  • Non-Calculator Methods
  • Simultaneous Equations
  • Completing the Square (Turning Points)
  • Iteration & Numerical Methods
  • Sequences and Series
  • Graphical Solution of Equations
  • Functions (Composite & Inverse)
  • Linear Equations
  • Quadratic Equations
  • Inequalities
  • Equation of Straight Lines
  • Surds and Indices
  • Area under a Curve
  • Transformation of Functions

3: Ratio, Proportion and Rates of Change

  • Percentages
  • Ratio and Proportion
  • Gradients to Curves
  • Rates of Change
  • Direct and Inverse Proportion
  • Growth & Decay

4: Geometry and Measures

  • Angle Properties
  • Polygons
  • Vectors
  • Equation of a Circle
  • Pythagoras’ Theorem
  • Sine and Cosine Rules
  • Standard Angles (0, 30, 45, 60, and 90)
  • Parallel Line Theorems
  • Circle Theorems
  • Transformations
  • Areas and Volumes
  • Trigonometry (Sin, Cos, Tan)
  • 3D Trigonometry

5-6: Probability and Statistics

  • Types of Average (Mean, Mode and Median)
  • Constructing & Interpreting Statistical Diagrams
  • Probability Rules
  • Venn Diagrams applied to Probability
  • Frequency Tables & Cumulative Frequency
  • Frequency Density
  • Probability Tree Diagrams

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