# GCSE Maths Higher Tier

**Dates Available **

Week 1: Monday 3 March – Friday 7 April

Week 2: Monday 10 – Friday 14 April

Week 3: Monday 17 – Friday 21 April

**Boards**

All boards

**Length of Course**

20 hours

**Times**

9am to 1pm 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. Working without calculators will also be practised as this skill forms part of the assessment criteria.

**The main topic areas are as follows:**

**1-2 Number and Algebra**

Non-Calculator Methods | Linear Equations |

Simultaneous Equations | Quadratic Equations |

Completing the Square (Turning Points) | Inequalities |

Iteration & Numerical Methods | Equation of Straight Lines |

Sequences and Series | Surds and Indices |

Graphical Solution of Equations | Area under a Curve |

Functions (Composite & Inverse) | Transformation of Functions |

**3 Ratio, Proportion and Rates of Change**

Percentages | Rates of Change |

Ratio and Proportion | Direct and Inverse Proportion |

Gradients to Curves | Growth & Decay |

**4 Geometry and Measures**

Angle Properties | Parallel Line Theorems |

Polygons | Circle Theorems |

Vectors | Transformations |

Equation of a Circle | Areas and Volumes |

Pythagoras' Theorem | Trigonometry (Sin, Cos, Tan) |

Sine and Cosine Rules | 3D Trigonometry |

Standard Angles (0, 30, 45, 60 and 90) |

**5-6 Probability and Statistics**

Types of Average (Mean, Mode and Median) | Frequency Tables and Cumulative Frequency |

Constructing and Interpreting Statistical Diagrams | Frequency Density |

Probability Rules | Probability Tree Diagrams |

Venn Diagrams applied to Probability |