Monthly Maths Challenges
MonthlyMathsJanuary2018Solutions
MonthlyMathsDecember2017Solutions (1)
Year 9 Maths 20172018
Course title: GCSE Maths  Exam board: AQA  Specification code: 8300 
How will students be assessed?  
Three external examinations at the end of Year 11. Paper 1 is noncalculator, 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 (7 weeks)  Number – Integers, decimals and fractions. Standard form
Shape – angles, polygons Algebra – simplify expressions, expand and factorise expressions Data – representing data 16 October data collection (CWA,PEG and ATL) 31 October Tutor Evening 
2 (8 weeks)  
3 (5 weeks)  Number – ratio and proportion
Shape – area and circumference Algebra – sequences, equations and graphs Data – probability 15 January data collection (CWA, PEG and ATL) 29 January Option Evening 1^{ }February Parents’ Evening 8 February Parents’ Evening 19 March data collection (CWA, PEG and ATL) 
4 (6 weeks)  
5 (6 weeks)  Number – percentages
Shape – transformations Algebra – real life graphs Data – scatter graphs Week commencing 18 June: Year 9 exam week 12 July Data collection (CWA, PEG and ATL) 
6 (7 weeks) 
Year 10 GCSE Maths (Foundation) 20172018
Course title: GCSE Maths  Exam board: AQA  Specification code: 8300 
How will students be assessed?  
Three external examinations at the end of Year 11. Paper 1 is noncalculator, 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 (7 weeks)  Number – percentages and index notation
Shape – compound measures and bounds, bearings, construction and loci. Pythagoras’ Theorem Data – statistical measures 16 October data collection (CWA,PEG and ATL) 
2 (8 weeks)  
3 (5 weeks)  Number – compare lengths using ratio
Shape – trigonometry, similarity and congruence, surface area Algebra – solving linear equations and drawing linear graphs and calculating and interpreting gradients 15 January data collection (CWA, PEG and ATL) 19 March data collection (CWA, PEG and ATL) 
4 (6 weeks)  
5 (6 weeks)  Number – growth and decay
Shape – volume, using π, using vectors Algebra – solving simultaneous equations and inequalities Data – probability 19 April Parents’ Evening Week commencing 18 June: Year 10 exam week 12 July Data collection (CWA, PEG and ATL) 
6 (7 weeks) 
201819
Half term  Key content – foundation 
1  Algebra – Advanced algebra, including quadratic equations and graphs.
Number – direct and inverse proportion, growth and decay Shape – trigonometry 
2  
3  Algebra – Solving quadratics
Number – fractions, decimals, percentages recap Shape – angles recap 
4  Revision 
5  Revision and the beginning of exams 
Year 10 GCSE Maths (Higher)
Course title: GCSE Maths  Exam board: AQA  Specification code: 8300 
How will students be assessed?  
Three external examinations at the end of Year 11. Paper 1 is noncalculator, 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 – higher 
1 (7 weeks)  Number – percentages, index notation and surds
Shape – compound measures and bounds, similarity, bearings, construction and loci Algebra – linear and quadratic sequences, including the algebraic manipulation of surds Data – statistical measures 16 October data collection (CWA,PEG and ATL) 
2 (8 weeks)  
3 (5 weeks)  Number – convert recurring decimals to fractions
Shape – trigonometry Algebra – solving linear equations and simultaneous equations, drawing linear, quadratic and other graphs Data – interpret and manipulate data including using cumulative frequency and histograms. 15 January data collection (CWA, PEG and ATL) 19 March data collection (CWA, PEG and ATL) 
4 (6 weeks)  
5 (6 weeks)  Number – growth and decay
Shape – volume Algebra – solving quadratic equations and inequalities Data – probability 19 April Parents’ Evening Week commencing 18 June: Year 10 exam week 12 July Data collection (CWA, PEG and ATL) 
6 (7 weeks) 
201819
Half term  Key content – higher 
1  Algebra – function notation, further quadratic functions and identities. Equation of a circle
Number – numerical methods, direct and inverse proportion Shape – trigonometry 
2  
3  Algebra – transformation of graphs, rates of change, gradient and area under a curve. Algebraic fractions
Number – numerical methods Shape – vectors, circle theorems, 
4  Revision 
5 
Year 11 GCSE MATHEMATICS (Foundation)– 20172018
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 noncalculator, 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 – foundation 
1 (7 weeks)  Algebra – quadratic functions and graphs,
Number – growth and decay, direct proportion Shape – volume, Data – probability 25 September Reports Open 16 October data collection (CWA,PEG and ATL) 14 December – 20 December Mock Exams 
2 (8 weeks)  
3 (5 weeks)  Algebra – solving quadratic equations
Number – numerical methods Shape – trigonometry, vectors 9 January data collection (CWA, PEG and ATL) 22 Feb Parents’ Evening 1 March Parents’ Evening 
4 (6 weeks)  
5 (6 weeks)  Revision
23 April data collection (CWA, PEG and ATL) 
Year 11 GCSE MATHEMATICS (Higher) – 20172018
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 noncalculator, 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 (7 weeks)  Algebra – quadratic functions and graphs, equation of a circle, cubic and reciprocal graphs
Number – growth and decay, proportion Shape – vectors 25 September Reports Open 16 October data collection (CWA,PEG and ATL) 14 December – 20 December Mock Exams 
2 (8 weeks)  
3 (5 weeks)  Algebra – transformation of graphs, rates of change, gradient and area under a curve.
Number – numerical methods Shape – sine and cosine rule, circle theorems, 9 January data collection (CWA, PEG and ATL) 22 Feb Parents’ Evening 1 March Parents’ Evening 
4 (6 weeks)  
5 (6 weeks)  Revision
23 April data collection (CWA, PEG and ATL) 
Year 12 Maths A Level 2017 2018
Course title: Maths  Exam board: AQA  Specification code: 7357 
How will students be assessed?  
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 (7 weeks)  Surds and Quadratic equations Inequalities Polynomials Proof Trigonometry Graphs16 October data collection (CWA,PEG and ATL) 
2 (8 weeks)  Coordinate geometry Differentiation and integration Binomial expansions Exponentials and logarithms 
3 (5 weeks)  Vectors Kinematics Sampling Data presentation and interpretation Probability1 Feb Mock Exams 
4 (6 weeks)  Forces and Newton’s laws Binomial distributions Hypothesis testing26 Feb data collection (CWA, PEG and ATL) 6 March Parents’ Evening 
5 (6 weeks)  Variable acceleration Working with a large data set11 June Reports Open27 June – 3 July Exam Week9 July data collection (CWA, PEG and ATL) 
Year 13 Maths 20172018
Course title: Maths  Exam board: AQA  Specification code: 6360 
How will students be assessed? A level Maths is currently unreformed. This means that the course is modular and will be assessed at the end of Year 13 with 3 examinations which lead, together with AS modules, to an A2 qualification. The three modules are Pure Core 3, Pure Core 4 and Statistics. There is no coursework. All exams are 90 minutes long, have a maximum mark of 75 and contribute to 1/6 of the A2 final grade. There is no coursework.  
The assessment objectives are common to both AS and A Level. The schemes of assessment will assess candidates’ ability to:
1. AO1 recall, select and use their knowledge of mathematical facts, concepts and techniques in a variety of contexts; 2. AO2 construct rigorous mathematical arguments and proofs through use of precise statements, logical deduction and inference and by the manipulation of mathematical expressions, including the construction of extended arguments for handling substantial problems presented in unstructured form; 3. AO3 recall, select and use their knowledge of standard mathematical models to represent situations in the real world; recognise and understand given representations involving standard models; present and interpret results from such models in terms of the original situation, including discussion of the assumptions made and refinement of such models; 4. AO4 comprehend translations of common realistic contexts into mathematics; use the results of calculations to make predictions, or comment on the context; and, where appropriate, read critically and comprehend longer mathematical arguments or examples of applications; 5. AO5 use contemporary calculator technology and other permitted resources (such as formulae booklets or statistical tables) accurately and efficiently; understand when not to use such technology, and its limitations; give answers to appropriate accuracy. The use of clear, precise and appropriate mathematical language is expected as an inherent part of the assessment of AO2. 

Key content  
Half term  Teacher 1  Teacher 2 
1 (7 weeks)

PC3 – Transformations of graphs
PC3 – Trigonometrical identities PC3 – Inverse trigonometric functions PC3 – The number e PC3 – Numeric methods 18 September UCAS Data Drop 9 October Reports open 16 October data collection (CWA,PEG and ATL) 
S1 – Variance and standard deviation
S1 – Probability S1 – Discrete random variables S1 – Binomial distribution
18 September UCAS Data Drop 9 October Reports open 16 October data collection (CWA,PEG and ATL) 
2 (8 weeks)

PC3 – Further differentiation – product rule, quotient rule, chain rule
PC3 – Volume of revolution PC3 – Further integration – integration by parts and substitution PC3 – Volumes of revolution 12 December Parents’ Evening 
S1 – Finish Binomial distribution
S1 – Normal distribution S1 – Estimation S1 – Confidence intervals
12 December Parents’ Evening 
3 (5 weeks)

PC4 – Partial fractions and algebraic fractions
PC4 – Binomial expansion PC4 – Parametric equations PC4 – Trigonometrical identities PC4 – Trigonometry – double angle identities 1 Feb 5 Feb Mock exams Mock exam – Pure Core 3 
S1 – Linear regression S1 – Correlation PC4 – Exponential growth and decay PC4 – Vectors 1 Feb 5 Feb Mock exams Mock exam – Pure Core 3 
4 (6 weeks)

PC4 – Differential equations
PC4 – Implicit differentiation PC4 – Using trigonometric identities in integration 26 Feb data collection (CWA, PEG and ATL) 
PC4 – Finish vectors
26 Feb data collection (CWA, PEG and ATL)

5 (6 weeks)

Prepare and revise for external exams
23 April data collection (CWA, PEG and ATL) 