Year 10


Past examination material

     

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

     

LESSONS

     

Topic 11: Probability

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

Topic 12: Simultaneous equations

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

Topic 13: Similar Shapes

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

Topic 14: Statistics 2

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

Topic 15: Quadratics 1

     
Factorising by Grouping
     
Factorising Quadratics (a = 1)
     
Factorising Quadratics (a is not = 1)
     
Difference of 2 Squares
     
Solving Quadratics by Factorising
     
Solving Quadratics Requiring Rearranging
     
Problems Leading to Quadratics
     
Trial and Improvement

Topic 16: Sequences and functions

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

Topic 17: Area and volume

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

Topic 18: Vectors and transformations

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

Topic 19: Proportion equations

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

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 11: Probability

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

Topic 12: Simultaneous equations

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

Topic 13: Similar shapes

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

Topic 14: Statistics 2

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

Topic 15: Quadratics 1

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

Topic 16: Sequences and functions

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

Topic 17: Area and volume

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

Topic 18: Vectors/transformations

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

Topic 19: Proportion equations

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

Revision

     

These interleaved practice worksheets will help you
revise throughout the year. Regular revision during
the academic year makes the End of Year Exam easier.

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

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