# Year 10 Autumn Test Revision

Module | Topic | Mathswatch Clip No | Homework Book Pg |
---|---|---|---|

Module 7: Algebra | Understand how to write algebra, solve equations | 135 | 40 |

Module 7: Algebra | Simplify algebraic expressions involving add, subtract, multiply and divide. | 33-35, 93 | |

Module 7: Algebra | Expand expressions involving single/double brackets | 93, 134 | 27 |

Module 7: Algebra | Substitute numbers into formulas | 95 | 24 |

Module 12: Trigonometry | Know how to find square numbers and square roots and use with Pythagoras' Theorem | 150 | 78-80 |

Module 12: Trigonometry | Use sin, cos and tan to find a missing side or missing angle | 168 | 81-85 |

Module 12: Trigonometry | Use and apply the cosine, sine and rule to a variety of problems | 201-203 | 149-152 |

Module 13: Geometry | Recognise acute, obtuse, reflex and right angles | 13 | |

Module 13: Geometry | Basic angle laws: angles in a triangle/quadrilateral, on a line, around a point, vertically opposite angles | 45, 121 | 14-15 |

Module 13: Geometry | Find alternate, corresponding and interior angles through the use of parallel lines | 120 | 15 |

Module 13: Geometry | Interior and exterior angles of polygons | 123 | 16-17 |

Module 13: Geometry | Find the simple locus of a point | 165 | 138-140 |

Module 13: Geometry | Know and be able to use all of the circle theorems | 183 | 18-24 |

# Exam revision

Foundation / Higher | · multiply, divide, add and subtract decimals | multiply-two-decimals | add-and-subtract-decimals | ||

Foundation / Higher | · long multiplication, short division | short-and-long-multiplication | short-division | ||

Foundation / Higher | · round decimals and significant figures | rounding-decimals | significant-figures | ||

Foundation / Higher | · expand single and double brackets | single-brackets | brackets | ||

Foundation / Higher | · use Pythagoras | pythagoras-theorem | |||

Foundation / Higher | · know rules for angles in parallel lines | angles-in-parallel-lines | |||

Foundation / Higher | · be able to find the exterior and interior angles of a polygon and be able to reverse those rules to find the number of sides of a polygon from an exterior or interior angle | interior-exterior-angles | sum-of-angles-in-a-polygon | ||

Foundation / Higher | · do trig calculations without a calculator, this will involve multiplying or dividing involving decimals | trig-missing-angles | trig-missing-sides | ||

Foundation / Higher | · reason logically to solve a novel problem | ||||

Higher | · thoughtfully factorise expressions | factorising-linear | factorising-quadratics-1 | ||

Higher | · solve three-step equations with the unknown on both sides | equations-3-both-sides | |||

Higher | · solve equations involving cubics! (HINT: learn the sequence of cubic numbers!) | ||||

Higher | · use BIDMAS to do a complex calculation involving a number of steps. If you are secure in your understanding of BIDMAS you will be fine :p | order-of-operations | |||

Higher | · find the percentage of an amount | percentages-of-amounts-2 | |||

Higher | · do a percentage increase or decrease | percentage-increase-or-decrease-question | percentage-change-1 | percentage-change-2 | |

Higher | · do a reverse percentage calculation | reverse-percentage-question | reverse-percentages | ||

Higher | · apply techniques learnt in expanding brackets to novel problems | ||||

Higher | · understand geometric terms and apply them to a problem which requires you to think about the techniques you have learnt for finding missing sides | ||||

Higher | · be able to solve Pythagoras or trig problems in 3D shapes | pythagoras-3d | 3d-trigonometry | ||

Higher | · be very confident in answering circle theorem questions (there is more than one of them in the exam) | circle-theorems | |||

Higher | · you need to remember the sine rule, cosine rule and the formula for calculating the area of a triangle from two sides and a known angle (these are no longer given as formulae in GCSE 9-1) | sine-rule | cosine-rule-sides | cosine-rule-angles | trig-area-of-a-triangle |