# Year 10

### Past examination material

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MS means the mark scheme (i.e. the answers).

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### LESSONS

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#### Topic 11: Probability

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Probability of One Event
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Relative Frequency
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Expectation
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Listing Possible Outcomes
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Product Rule for Counting
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Set Notation and Venn Diagrams
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Solving Problems using Venn Diagrams
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Worksheet Worksheet SOLUTIONS
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Venn Diagrams and Conditional Probability
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Mutually exclusive (the OR rule)
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Independent events (the AND rule)
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Tree diagrams
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Dependent Probability
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Conditional Probability
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Mixed Probability Questions

#### Topic 12: Simultaneous equations

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Solving Simultaneous Equations Graphically
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Solving Simultaneous Equations Algebraically
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SE - Manipulation of One Equation
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SE - Manipulation of Both Equations
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Practical Simultaneous Equation Problems

#### Topic 13: Similar Shapes

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Similar Shapes
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Similar Shapes with Algebra
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Area and Volume Factors of Similar Shapes
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Connecting Area and Volume Factors
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Congruent Triangles
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Map Scales

#### Topic 14: Statistics 2

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Sampling
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Interquartile Range
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Cumulative Frequency
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Median & Quartiles from Cumulative Frequency
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Box Plots
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Drawing Histograms
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Calculating Frequency from a Histogram
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Calculating Frequency Density from a Histogram
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Comparing Data

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Factorising by Grouping
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Factorising Quadratics (a is not = 1)
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Difference of 2 Squares
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Trial and Improvement

#### Topic 16: Sequences and functions

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Sequences
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Special Sequences (including Geometric and Fibonacci)
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Linear Sequences
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Subscript Notation for Sequences
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Mixed Sequences
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Function Machines
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Worksheet: Language of Functions
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Inverse and Composite Functions
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OCR GCSE 9-1 Functions PPQ
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OCR GCSE 9-1 Functions PPQ SOLUTIONS
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Iterative methods

#### Topic 17: Area and volume

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Area of Triangle involving Sine
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Length of Arc
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Area of Sector
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Area of Segment
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Volume and Surface Area of a Cylinder
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Volumes of Spheres, Pyramids and Cones
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Surface Area of Cylinders, Spheres and Cones

#### Topic 18: Vectors and transformations

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Column Vectors
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Vector Arithmetic
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Vector Geometry
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Symmetry (Lines in 2-D and Planes in 3-D)
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Translations
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Reflections
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Rotations
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Enlargements with Positive Scale Factors
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Enlargements with Negative Scale Factors
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Combining Transformations

#### Topic 19: Proportion equations

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Direct Proportion Equations (Linear)
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Direct Proportion Equations (Non-Linear)
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Inverse Proportion Equations
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Inverse Proportion Equations (Harder)

### 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 11: Probability

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Skills Sheet 11 - Probability
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Probability (Pre-TT) Probability (Pre-TT) MS
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Probability (Post-TT) Probability (Post-TT) MS
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##### Individual areas
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Relative frequency Probability (OR rule) Listing outcomes
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Sample space diagrams (probability tables) Independent events (AND rule)
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Tree diagrams Dependent and conditional probability
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Product rule for counting Set notation (video)
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#### Topic 12: Simultaneous equations

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Skills Sheet 12 - Simultaneous equations
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Simultaneous equations (Pre-TT) Simultaneous equations (Pre-TT) MS
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Simultaneous equations (Post-TT) Simultaneous equations (Post-TT) MS
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##### Individual areas
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Simultaneous equations Solving simultaneous equations graphically

#### Topic 13: Similar shapes

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Skills Sheet 13 - Similar shapes
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Similar shapes (Pre-TT) Similar shapes (Pre-TT)_MS
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Similar shapes (Post-TT) Similar shapes (Post-TT)_MS
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##### Individual areas
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Congruent triangles Similar shapes
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Area and volume factors Area and volume factors ANSWERS

#### Topic 14: Statistics 2

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Skills Sheet 14 - Statistics 2
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Statistics 2 (Pre-TT) Statistics 2 (Pre-TT)_MS
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Statistics 2 (Post-TT) Statistics 2 (Post-TT)_MS
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##### Individual areas
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Cumulative frequency Box plots
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Histograms (drawing) Histograms (interpreting)

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Skills Sheet 15 - Quadratics 1
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##### Individual areas
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Difference between 2 squares Solving quadratics by factorising (a = 1)
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Solving quadratics by factorising (a > 1) Trial and improvement

#### Topic 16: Sequences and functions

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Skills Sheet 16 - Sequences and functions
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Sequences and functions (Pre-TT) Sequences and functions (Pre-TT)_MS
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Sequences and functions (Post-TT) Sequences and functions (Post-TT)_MS
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##### Individual areas
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Linear sequences Fibonacci sequences Geometric sequences (video)
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Practical sequences Quadratics sequences Function machines

#### Topic 17: Area and volume

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Skills Sheet 17 - Area and volume
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Area and volume (Pre-TT) Area and volume (Pre-TT)_MS
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Area and volume (Post-TT) Area and volume (Post-TT)_MS
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##### Individual areas
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Area of a triangle (sine) Length of arc Area of a sector
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Area of a segment Surface area of a cylinder
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Surface area of a sphere Surface area of a cone
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Volume of a cylinder Volume of a sphere
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Volume of a cone Volume of a frustum (video)

#### Topic 18: Vectors/transformations

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Skills Sheet 18A - Vectors
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Skills Sheet 18B - Transformations
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Vectors/transformations (Pre-TT) Vectors/transformations (Pre-TT)_MS
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Vectors/transformations (Post-TT) Vectors/transformations (Post-TT)_MS
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##### Individual areas
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Column vectors Vector geometry Vector geometry ANSWERS
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Line of symmetry Rotational symmetry Translations
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Reflections Enlargements (positive s.f.)
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Enlargements (fractional s.f.) Enlargements (negative s.f.)

#### Topic 19: Proportion equations

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Skills Sheet 19 - Proportion equations
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Proportion equations (Pre-TT) Proportion equations (Pre-TT)_MS
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Proportion equations (Post-TT) Proportion equations (Post-TT)_MS
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##### Individual areas
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Proportion (direct and inverse)

### Revision

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revise throughout the year. Regular revision during
the academic year makes the End of Year Exam easier.

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Revision F4 (Topics 11-12) Revision F4 (Topics 11-12)_MS
Revision F4 (Nov Exam) Revision F4 (Nov Exam)_MS
Revision F4 (Topics 11-13) Revision F4 (Topics 11-13)_MS
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Revision F4 (Topics 11-14) Revision F4 (Topics 11-14)_MS
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Revision F4 (Topics 11-15) Revision F4 (Topics 11-15)_MS
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Revision F4 (Topics 11-16) Revision F4 (Topics 11-16)_MS
Revision F4 (EoY Exam) A Revision F4 (EoY Exam) A MS
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Revision F4 (EoY Exam) B Revision F4 (EoY Exam) B MS
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Revision F4 (EoY Exam) C Revision F4 (EoY Exam) C MS
Revision F4 (Topics 11-17) Revision F4 (Topics 11-17) MS
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Revision F4 (Topics 11-18) Revision F4 (Topics 11-18) MS
Revision F4 (All topics) A Revision F4 (All topics) A MS
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Revision F4 (All topics) B Revision F4 (All topics) B MS
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Revision F4 (All topics) C Revision F4 (All topics) C MS
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Revision F4 (All topics) D Revision F4 (All topics) D MS

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