# Year 11

For alpha students, here is a link to Further Mathematics videos and worksheets.

### LESSONS

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#### Topic 20: Further trigonometry

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Sine Rule
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Cosine Rule
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Mixed Sine and Cosine Rule
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Coordinates in 3-D Space
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Trigonometry in 3-D
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Angle between a Line and a Plane
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Graphs of sine,cosine and tangent

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Completing the Square (a = 1)
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Solving Quadratics by Completing the Square
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Completing the Square (a not = 1)
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Finding Turning Points
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Simultaneous Equations (Linear/Non-Linear)
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Equation of a Circle
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Equation of a Tangent to a Circle

#### Topic 22: Circle theorems

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Circle Theorems
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Tangents to Circles
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Alternate Segment Theorem
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Circle Theorems Proof
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#### Topic 23: Algebraic fractions

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Simplifying Algebraic Fractions
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Multiplying Algebraic Fractions
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Dividing Algebraic Fractions
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Adding and Subtracting (Denominator includes Algebra)
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Equations involving Algebraic Fractions
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Algebraic Proof

#### Topic 24: Inequalities and graphs

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Linear Inequalities
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Compound Inequalities
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Set Notation for Inequalities
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Defining a Region using an Inequality
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Defining a Region using Multiple Inequalities
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Exponential Graphs
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Solving Equations Graphically
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Translating Graphs
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Reflecting Graphs in Axes

#### Topic 25: Indices and surds

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Fractional Indices when the Numerator is 1
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Fractional Indices when the Numerator is not 1
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Equations with Indices
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Equations with Indices (Harder)
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Estimating Powers and Roots
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Indices (Mixed Problems)
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Rationalising the Denominator

#### Topic 26: Constructions and loci

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Constructing bisectors and perpendiculars
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Loci
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Loci examples
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Worksheet Worksheet SOLUTIONS
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Plans_and_elevations

### Topic test preparation

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topic tests.

Skills sheets: these revise the key skills for each topic.
Answers are at the end of each sheet.

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Pre-TT: you should all complete this worksheet of past paper
questions that covers all the material in the topic.

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Post-TT: if you do not do well in the topic test, you should
complete this worksheet to get more practice.

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N.B. There is nothing stopping you completing both
the Pre-TT and Post-TT worksheets before the topic test
in order to give yourself the best chance of doing well.

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Individual areas: These links take you to exercises on
Corbett maths and are a good way to practise individual
at the bottom of each worksheet.

Click on the play button at the top of each worksheet
to find a video of the topic.

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#### Topic 20: Further trigonometry

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Skills Sheet 20 - Further trigonometry
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Further trigonometry (Pre-TT)
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Further trigonometry (Pre-TT) MS
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Further trigonometry (Post-TT)
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Further trigonometry (Post-TT) MS
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##### Individual areas
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Sine rule Cosine rule Trigonometry in 3-D
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Pythagoras in 3-D Trigonometric graphs

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Skills Sheet 21 - Quadratics 2
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##### Individual areas
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Completing the square Turning point (video)
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Solving using completing the square Quadratic formula
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Simultaneous equations (linear/non-linear)
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Equation of tangent to a circle
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Equation of tangent to a circle ANSWERS

#### Topic 22: Circle theorems

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Skills Sheet 22 - Circle theorems
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Circle theorems (Pre-TT) Circle theorems (Pre-TT) MS
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Circle theorems (Post-TT) Circle theorems (Post-TT) MS
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##### Individual areas
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Circle theorems Circle theorems (proof)

#### Topic 23: Algebraic fractions

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Skills Sheet 23 - Algebraic fraction
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Algebraic fractions (Pre-TT) Algebraic fractions (Pre-TT) MS
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Algebraic fractions (Post-TT) Algebraic fractions (Post-TT) MS
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##### Individual areas
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Simplifying algebraic fractions Multiplying algebraic fractions
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Dividing algebraic fractions Adding/subtracting algebraic fractions
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Solving equations involving algebraic fractions Algebraic proof

#### Topic 24: Inequalities and graphs

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Skills Sheet 24 - Inequalities and graphs
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Inequalities and graphs (Pre-TT) Inequalities and graphs (Pre-TT) MS
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Inequalities and graphs (Post-TT) Inequalities and graphs (Post-TT) MS
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##### Individual areas
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Graphing inequalities 1 Graphing inequalities 2
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Transformations of graphs Transformations of graphs ANSWERS

#### Topic 25: Indices and surds

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Skills Sheet 25 - Indices and surds
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Indices and surds (Pre-TT) Indices and surds (Pre-TT) MS
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Indices and surds (Post-TT) Indices and surds (Post-TT) MS
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##### Individual areas
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Laws of indices Negative indices
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Fractional indices Surds

#### Topic 26: Constructions and loci

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Skills Sheet 26 - Constructions and loci
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Constructions and loci (Pre-TT) Constructions and loci (Pre-TT) MS
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Constructions and loci (Post-TT) Constructions and loci (Post-TT)_MS
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##### Individual areas
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Constructing bisectors Constructing perpendiculars
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Loci Plans and elevations Plans and elevations ANSWERS

### Revision

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revise throughout the year. Regular revision during
the academic year makes the GCSE examination easier.

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Revision F5 (Oct Exam) A Revision F5 (Oct Exam) A MS
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Revision F5 (Oct Exam) B Revision F5 (Oct Exam) B MS
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F5 October 2019 (Middle) F5 October 2019 (Middle) MS
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F5 October 2019 (Alpha) F5 October 2019 (Alpha) MS
Revision F5 (Topics 20-21) Revision F5 (Topics 20-21) MS
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Revision F5 (Topics 20-22) Revision F5 (Topics 20-22) MS
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Revision F5 (Topics 20-23) Revision F5 (Topics 20-23) MS
Mock Revision A (F3 only) Mock Revision A (F3 only) MS
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Mock Revision B (F4 only) Mock Revision B (F4 only) MS
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Mock Revision C (F5 only) Mock Revision C (F5 only) MS
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Mock Revision D Mock Revision D MS
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Mock Revision E Mock Revision E MS
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Mock Revision F Mock Revision F MS
Revision F5 (Topics 20-24) Revision F5 (Topics 20-24) MS
Revision F5 (All topics) A Revision F5 (All topics) A MS
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Revision F5 (All topics) B Revision F5 (All topics) B MS

### Past papers & mark schemes

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#### Set 2

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Set 2 Paper 1 (Foundation) Set 2 Paper 1 (Foundation)_MS
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Set 2 Paper 2 (Foundation) Set 2 Paper 2 (Foundation) MS
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Set 2 Paper 3 (Foundation) Set 2 Paper 3 (Foundation)_MS
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Set 2 Paper 4 (Higher) Set 2 Paper 4 (Higher) MS
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Set 2 Paper 5 (Higher) Set 2 Paper 5 (Higher)_MS
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Set 2 Paper 6 (Higher) Set 2 Paper 6 (Higher) MS

#### Set 3

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Set 3 Paper 1 (Foundation) Set 3 Paper 1 (Foundation) MS
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Set 3 Paper 2 (Foundation) Set 3 Paper 2 (Foundation) MS
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Set 3 Paper 3 (Foundation) Set 3 Paper 3 (Foundation) MS
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Set 3 Paper 4 (Higher) Set 3 Paper 4 (Higher) MS
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Set 3 Paper 5 (Higher) Set 3 Paper 5 (Higher) MS
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Set 3 Paper 6 (Higher) Set 3 Paper 6 (Higher) MS

#### June 2017

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Jun 17 Paper 1 (Foundation) Jun 17 Paper 1 (Foundation) MS
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Erratum notice Paper 2 (i.e. there was a mistake in the paper)
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Jun 17 Paper 2 (Foundation) Jun 17 Paper 2 (Foundation) MS
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Jun 17 Paper 3 (Foundation) Jun 17 Paper 3 (Foundation) MS
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Jun 17 Paper 4 (Higher) Jun 17 Paper 4 (Higher) MS
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Jun 17 Paper 5 (Higher) Jun 17 Paper 5 (Higher) MS
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Jun 17 Paper 6 (Higher) Jun 17 Paper 6 (Higher) MS

#### November 2017

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Nov 17 Paper 1 (Foundation) Nov 17 Paper 1 (Foundation) MS
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Nov 17 Paper 2 (Foundation) Nov 17 Paper 2 (Foundation) MS
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Nov 17 Paper 3 (Foundation) Nov 17 Paper 3 (Foundation) MS
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Nov 17 Paper 4 (Higher) Nov 17 Paper 4 (Higher) MS
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Nov 17 Paper 5 (Higher) Nov 17 Paper 5 (Higher) MS
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Nov 17 Paper 6 (Higher) Nov 17 Paper 6 (Higher) MS

#### June 2018

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Jun 18 Paper 1 (Foundation) Jun 18 Paper 1 (Foundation) MS
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Jun 18 Paper 2 (Foundation) Jun 18 Paper 2 (Foundation) MS
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Jun 18 Paper 3 (Foundation) Jun 18 Paper 3 (Foundation) MS
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Jun 18 Paper 4 (Higher) Jun 18 Paper 4 (Higher) MS
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Jun 18 Paper 5 (Higher) Jun 18 Paper 5 (Higher) MS
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Jun 18 Paper 6 (Higher) Jun 18 Paper 6 (Higher) MS

#### November 2018

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Nov 18 Paper 1 (Foundation) Nov 18 Paper 1 (Foundation) MS
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Nov 18 Paper 2 (Foundation) Nov 18 Paper 2 (Foundation) MS
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Nov 18 Paper 3 (Foundation) Nov 18 Paper 3 (Foundation) MS
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Nov 18 Paper 4 (Higher) Nov 18 Paper 4 (Higher) MS
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Nov 18 Paper 5 (Higher) Nov 18 Paper 5 (Higher) MS
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Nov 18 Paper 6 (Higher) Nov 18 Paper 6 (Higher) MS
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