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# GCSE Maths Higher Tier

## GCSE Maths Higher Tier

### Dates Available

• Week 1: Monday 27 March – Friday 31 March
• Week 2: Monday 3 April – Friday 7 April
• Week 3: Monday 10 April – Friday 14 April

All boards

20 hours

### Times

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
• 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
• 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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