Year 11


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


LESSONS

     

Topic 20: Further trigonometry

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

Topic 21: Quadratics 2

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

Topic 22: Circle theorems

     
Circle Theorems
     
Cyclic Quadrilaterals
     
Tangents to Circles
     
Alternate Segment Theorem
     
Circle Theorems Proof
     

Topic 23: Algebraic fractions

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

Topic 24: Inequalities and graphs

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

Topic 25: Indices and surds

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

Topic 26: Constructions and loci

     
Constructing bisectors and perpendiculars
     
Loci
     
    Loci examples
     
    Worksheet Worksheet SOLUTIONS
     
Plans_and_elevations

Topic test preparation

     

Each topic has specific worksheets to help you prepare for
topic tests.

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

     

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

     

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

     

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.

     

Individual areas: These links take you to exercises on
Corbett maths and are a good way to practise individual
difficulties. Answers can be found by clicking on the link
at the bottom of each worksheet.

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

     

Topic 20: Further trigonometry

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

Topic 21: Quadratics 2

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

Topic 22: Circle theorems

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

Topic 23: Algebraic fractions

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

Topic 24: Inequalities and graphs

     
Skills Sheet 24 - Inequalities and graphs
     
Inequalities and graphs (Pre-TT) Inequalities and graphs (Pre-TT) MS
     
Inequalities and graphs (Post-TT) Inequalities and graphs (Post-TT) MS
     
Individual areas
     
Linear inequalities Quadratics inequalities
     
Graphing inequalities 1 Graphing inequalities 2
     
Solving quadratic equations graphically
     
Transformations of graphs Transformations of graphs ANSWERS

Topic 25: Indices and surds

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

Topic 26: Constructions and loci

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

Revision

     

These interleaved practice worksheets will help you
revise throughout the year. Regular revision during
the academic year makes the GCSE examination easier.

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

Past papers &
mark schemes

     

Set 2

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

Set 3

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

June 2017

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

November 2017

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

June 2018

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

November 2018

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

     
     
     
     
     
     

     
     
     
     
     
     

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