**Monthly Maths Challenges**

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Monthly-Maths-December-2018-Solutions

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Curriculum Information

**Year 9 Maths 2018-2019**

Course title: GCSE Maths |
Exam board: AQA |
Specification code: 8300 |

How will students be assessed? |
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Three external examinations at the end of Year 11. Paper 1 is non-calculator, Paper 2 and 3 are both with calculators. All exams are 1 hour 30 minutes long and are worth 80 marks. Students may be entered for the Foundation Tier or the Higher Tier. Any content may be examined on any paper. There is no coursework option. |

Half term |
Key content |

1 (8 weeks) | Number – Integers, decimals and fractions. Standard form Shape – angles, polygons Algebra – simplify expressions, expand and factorise expressions Data – representing data |

2 (7 weeks) | |

3 (6 weeks) | Number – ratio and proportion Shape – area and circumference Algebra – sequences, equations and graphs Data – probability |

4 (6 weeks) | |

5 (5 weeks) | Number – percentages Shape – transformations Algebra – real life graphs Data – scatter graphs |

6 (7 weeks) |

**Year 10 GCSE Maths Foundation 2018-2019**

Course title: GCSE Maths |
Exam board: AQA |
Specification code: 8300 |

How will students be assessed? |
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Three external examinations at the end of Year 11. Paper 1 is non-calculator, Paper 2 and 3 are both with calculators. All exams are 1 hour 30 minutes long and are worth 80 marks. Students may be entered for the Foundation Tier or the Higher Tier. Any content may be examined on any paper. There is no coursework option. |

Half term |
Key content – foundation |

1 (8 weeks) | Number – percentages and index notationShape – compound measures and bounds, bearings, construction and loci. Pythagoras’ TheoremData – statistical measures |

2 (7 weeks) | |

3 (6 weeks) | Number – compare lengths using ratioShape – trigonometry, similarity and congruence, surface areaAlgebra – solving linear equations and drawing linear graphs and calculating and interpreting gradients |

4 (6 weeks) | |

5 (5 weeks) | Number – growth and decayShape – volume, using π, using vectorsAlgebra – solving simultaneous equations and inequalitiesData – probability |

6 (7 weeks) |

** ****2019-20**

Half term |
Key content – foundation |

1 | Algebra – Advanced algebra, including quadratic equations and graphs.Number – direct and inverse proportion, growth and decayShape – trigonometry |

2 | |

3 | Algebra – Solving quadraticsNumber – fractions, decimals, percentages recapShape – angles recap |

4 | Revision |

5 | Revision and the beginning of exams |

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**Year 10 GCSE Maths Higher 2018/2019**

Course title: GCSE Maths |
Exam board: AQA |
Specification code: 8300 |

How will students be assessed? |
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Three external examinations at the end of Year 11. Paper 1 is non-calculator, Paper 2 and 3 are both with calculators. All exams are 1 hour 30 minutes long and are worth 80 marks. Students may be entered for the Foundation Tier or the Higher Tier. Any content may be examined on any paper. There is no coursework option. |

** ****2018-19**

Half term |
Key content – higher |

1 (8 weeks) | Number – percentages, index notation and surdsShape – compound measures and bounds, similarity, bearings, construction and lociAlgebra – linear and quadratic sequences, including the algebraic manipulation of surdsData – statistical measures |

2 (7 weeks) | |

3 (6 weeks) | Number – convert recurring decimals to fractionsShape – trigonometryAlgebra – solving linear equations and simultaneous equations, drawing linear, quadratic and other graphsData – interpret and manipulate data including using cumulative frequency and histograms. |

4 (6 weeks) | |

5 (5 weeks) | Number – growth and decayShape – volumeAlgebra – solving quadratic equations and inequalitiesData – probability |

6 (7 weeks) |

** ****2019-20**

Half term |
Key content – higher |

1 | Algebra – function notation, further quadratic functions and identities. Equation of a circleNumber – numerical methods, direct and inverse proportionShape – trigonometry |

2 | |

3 | Algebra – transformation of graphs, rates of change, gradient and area under a curve. Algebraic fractionsNumber – numerical methodsShape – vectors, circle theorems, |

4 | Revision |

5 |

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**Y11 GCSE MATHEMATICS – Foundation 2018-2019**

Course title: Maths GCSE |
Exam board: AQA |
Specification code: 8300 |

How will students be assessed? |
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Three external examinations at the end of Year 11. Paper 1 is non-calculator, Paper 2 and 3 are both with calculators. All exams are 1 hour 30 minutes long and are worth 80 marks. Students may be entered for the Foundation Tier or the Higher Tier. Any content may be examined on either paper. |

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Half term |
Key content – foundation |

1 (8 weeks) | Algebra – quadratic functions and graphs,Number – growth and decay, direct proportionShape – volume,Data – probability |

2 (7 weeks) | |

3 (6 weeks) | Algebra – solving quadratic equationsNumber – numerical methodsShape – trigonometry, vectors |

4 (6 weeks) | |

5 (5 weeks) | Revision |

6 (7 weeks) | |

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** Y11 GCSE MATHEMATICS – Higher 2018-2019**

Course title: Maths GCSE |
Exam board: AQA |
Specification code: 8300 |

How will students be assessed? |
||

Three external examinations at the end of Year 11. Paper 1 is non-calculator, Paper 2 and 3 are both with calculators. All exams are 1 hour 30 minutes long and are worth 80 marks. Students may be entered for the Foundation Tier or the Higher Tier. Any content may be examined on either paper. |

Half term |
Key content – higher |

1 (8 weeks) | Algebra – quadratic functions and graphs, equation of a circle, cubic and reciprocal graphsNumber – growth and decay, proportionShape – vectors |

2 (7 weeks) | |

3 (6 weeks) | Algebra – transformation of graphs, rates of change, gradient and area under a curve.Number – numerical methodsShape – sine and cosine rule, circle theorems, |

4 (6 weeks) | |

5 (5 weeks) | Revision |

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**Year 12 Maths A Level 2018 2019**

Course title: Maths |
Exam board: AQA |
Specification code: 7357 |

How will students be assessed? |
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A level Mathematics is a linear course which is assessed at the end of year 13 with three examinations. Each exam is marked out of 100 and lasts for 2 hours. The papers are all calculator papers and are equally weighted, each being worth 33% of the final mark. Each paper has a mix of question styles varying from short single mark questions to longer unstructured questions. Paper one examines Pure Mathematical methods only, paper two examines topics from Pure Mathematics and Mechanics, paper three is Pure Mathematics and Statistics.
The A level syllabus requires students to demonstrate their skills and knowledge through the application of problem solving techniques and with the use of clear, precise and appropriate mathematical language. |

Half term |
Key content |

1 (8 weeks) | Surds and Quadratic equations Inequalities Polynomials Proof Trigonometry Graphs |

2 (7 weeks) | Coordinate geometry Differentiation and integration Binomial expansions Exponentials and logarithms |

3 (6 weeks) | Vectors Kinematics Sampling Data presentation and interpretation Probability |

4 (6 weeks) | Forces and Newton’s laws Binomial distributions Hypothesis testing |

5 (5 weeks) | Variable acceleration Working with a large data set |

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** ****Year 13 Maths A Level 2018 2019**

Course title: Maths |
Exam board: AQA |
Specification code: 7357 |

How will students be assessed? |
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A level Mathematics is a linear course which is assessed at the end of year 13 with three examinations. Each exam is marked out of 100 and lasts for 2 hours. The papers are all calculator papers and are equally weighted, each being worth 33% of the final mark. Each paper has a mix of question styles varying from short single mark questions to longer unstructured questions. Paper one examines Pure Mathematical methods only, paper two examines topics from Pure Mathematics and Mechanics, paper three is Pure Mathematics and Statistics.
The A level syllabus requires students to demonstrate their skills and knowledge through the application of problem solving techniques and with the use of clear, precise and appropriate mathematical language. |

Half term |
Key content |

1 (8 weeks) | Trigonometry and circular measure Further differentiation Further integration Binomial Theorem, sequences and series Functions and transformations Parametric equations |

2 (7 weeks) | Numerical methods Partial fractions and integration Trigonometry |

3 (6 weeks) | Differential equations Kinematics in two dimensions Further probability Equilibrium and resolving |

4 (6 weeks) | Statics and dynamics Moments Statistical distributions Statistical Hypothesis testing |

5 (5 weeks) | Exam preparation and revision |

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