Year 9


Past examination material

     

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

     

LESSONS

     

Topic 1: Algebra 1

     
Substitution
     
Substituting into formulae
     
Expanding single brackets
     
Expanding and simplifying
     
Expanding double brackets
     
Expressions equations and identities
     
Expanding triple brackets
     
Factorising into single brackets

Topic 2: Indices and standard form

     
Laws of indices and zero index
     
Negative indices
     
Converting to and from standard form
     
Standard form calculations without a calculator
     
Standard form calculations with a calculator

Topic 3: Percentages and ratio

     
Increase or decrease by a percentage
     
Finding the percentage increase or decrease
     
Repeated percentage increase or decrease
     
Reverse percentages
     
Ratio
     
Division in a given ratio

Topic 4: Algebra 2

     
Linear equations
     
Equations with brackets
     
Equations with fractions
     
Setting up linear equations
     
Linear inequalities
     
Rearranging formulae
     
Rearranging formulae (advanced)
     
Rearranging (subject appears more than once)

Topic 5: Angles, area and volume

     
Finding angles
     
Angles in polygons
     
Angles in regular polygons
     
Proof with angles
     
Areas
     
Prisms (volume and surface area)
     
Area and volume problems

Topic 6: Right-angled triangles

     
Pythagoras' Theorem
     
Finding lengths using trigonometry
     
Finding angles using trigonometry
     
Simplifying surds
     
Expanding brackets with surds
     
Rationalising the denominator
     
Exact trigonometric values
     
Mixed trigonometry problems
     
Bearings with trigonometry
     
Angles of elevation and depression

Topic 7: Measures and bounds

     
Estimating answers to problems
     
Error intervals
     
Calculations with error intervals
     
Error intervals with discrete quantities
     
Converting between units
     
Speed
     
Compound measures

Topic 8: Graphs 1

     
Drawing graphs of straight lines
     
Gradient of a straight line
     
Equation of straight line (y = mx + c)
     
Gradients of parallel and perpendicular lines
     
Graphs of quadratic curves
     
Graphs of cubics and reciprocals
     
Real-life graphs
     
Travel graphs
     
Area under graphs
     
Rates of change
     
    Instantaneous vs. average rate of change NOTES DIAGRAMS
     
    Instantaneous vs. average rate of change EXAMPLES
     
Equations of motion

Topic 9: Statistics 1

     
Two-way tables
     
Pie charts
     
Scatter graphs
     
Moving averages and time series graphs
     
Averages and range
     
Median and mode from a frequency table
     
Mean average from a frequency table
     
Mean average from grouped data

Topic 10: 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 1: Algebra 1

     
Skills Sheet 1 - Algebra 1
     
Algebra 1 (Pre-TT) Algebra 1 (Pre-TT) MS
     
Algebra 1 (Post-TT) Algebra 1 (Post-TT) MS
     
Individual areas
     
Collecting like terms Expanding double brackets
     
Expanding triple brackets Factorisation Substitution

Topic 2: Number

     
Skills Sheet 2 - Number
     
Number (Pre-TT) Number (Pre-TT) MS
     
Number (Post-TT) Number (Post-TT) MS
     
Individual areas
     
HCF and LCM Adding/subtracting fractions (Qu 3)
     
Multiplying fractions ( Qu 3) Dividing fractions (Qu 3)
     
Laws of indices Negative indices
     
Recurring decimals Standard form

Topic 3: Percentages and ratio

     
Skills Sheet 3 - Percentages and ratio
     
Percentages and ratio (Pre-TT) Percentages and ratio (Pre-TT) MS
     
Percentages and ratio (Post-TT) Percentages and ratio (Post-TT) MS
     
Individual areas
     
Percentage of an amount Expressing as a percentage
     
Finding percentage change Increase/decrease by a percentage
     
Repeated increase/decrease by a percentage
     
Reverse percentages Division in a given ratio
     
Ratio problems Map scales Map scales ANSWERS

Topic 4: Algebra 2

     
Skills Sheet 4 - Algebra 2
     
Algebra 2 (Pre-TT) Algebra 2 (Pre-TT) MS
     
Algebra 2 (Post-TT) Algebra 2 (Post-TT) MS
     
Individual areas
     
Linear equations Equations involving fractions
     
Setting up linear equations Solving linear inequalities
     
Changing the subject of a formula 1 Changing the subject of a formula 2

Topic 5: Angles, area and volume

     
Skills Sheet 5 - Angles, area and volume
     
Angles/area/volume (Pre-TT) Angles/area/volume (Pre-TT) MS
     
Angles/area/volume (Post-TT) Angles/area/volume (Post-TT) MS
     
Individual areas
     
Angles (parallel lines) Angles in triangles Angles in polygons
     
Area of a trapezium Area of a circle Area of compound shapes
     
Perimeter (Qu 7 onwards) Volume of a prism Volume of a cylinder
     
Surface area of a cuboid Surface area of a cylinder

Topic 6: Right-angled triangles

     
Skills Sheet 6 - Right-angled triangles & surds
     
Right-angled triangles (Pre-TT) Right-angled triangles (Pre-TT) MS
     
Right-angled triangles (Post-TT) Right-angled triangles (Post-TT) MS
     
Individual areas
     
Pythagoras Distance between 2 points
     
Trigonometry Bearings Surds (not Qu 17)

Topic 7: Measures and bounds

     
Skills Sheet 7 - Measures and bounds
     
Measures and bounds (Pre-TT) Measures and bounds (Pre-TT) MS
     
Measures and bounds (Post-TT) Measures and bounds (Post-TT) MS
     
Individual areas
     
Converting units (area/volume) Converting units (area/volume) MS
     
Density Error intervals Limits of accuracy
     
Limits of accuracy with calculations Estimation
     
Pressure Rounding (significant figures) Speed

Topic 8: Graphs 1

     
Skills Sheet 8 - Graphs 1
     
Graphs 1 (Pre-TT) Graphs 1 (Pre-TT) MS
     
Graphs 1 (Post-TT) Graphs 1 (Post-TT) MS
     
Individual areas
     
Equation of a line Parallel and perpendicular lines
     
Quadratic curves (drawing) Distance-time graphs
     
Area under a graph Rates of change

Topic 9: Statistics 1

     
Skills Sheet 9 - Statistics 1
     
Statistics 1 (Pre-TT) Statistics 1 (Pre-TT) MS
     
Statistics 1 (Post-TT) Statistics 1 (Post-TT) MS
     
Individual areas
     
Averages and range Mean from a frequency table
     
Median from a frequency table Mean from grouped data
     
Pie charts (drawing) Pie charts (interpreting) Scatter graphs
     
Two-way tables

Topic 10: Constructions and loci

     
Skills Sheet 10 - 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 End of Year Exam easier.

     
Revision F2 (Number) Revision F2 (Number) MS
     
Revision F3 (Topics 1-2) Revision F3 (Topics 1-2) MS
     
Revision F3 (Topics 1-3) Revision F3 (Topics 1-3) MS
Revision F3 (Nov Exam) Revision F3 (Nov Exam) MS
Revision F3 (Topics 1-4) Revision F3 (Topics 1-4) MS
     
Revision F3 (Topics 1-5) Revision F3 (Topics 1-5) MS
     
Revision F3 (Topics 1-6) Revision F3 (Topics 1-6) MS
Revision F3 (March Exam) A Revision F3 (March Exam) A MS
     
Revision F3 (March Exam) B Revision F3 (March Exam) B MS
Revision F3 (Topics 1-7) Revision F3 (Topics 1-7) MS
Revision F3 (EoY Exam) A Revision F3 (EoY Exam) A MS
     
Revision F3 (EoY Exam) B Revision F3 (EoY Exam) B MS
     
Revision F3 (EoY Exam) C Revision F3 (EoY Exam) C MS
Revision F3 (Topics 1-8) Revision F3 (Topics 1-8) MS
     
Revision F3 (Topics 1-9) Revision F3 (Topics 1-9) MS
Revision F3 (All topics) A Revision F3 (All topics) A MS
     
Revision F3 (All topics) B Revision F3 (All topics) B MS
     
Revision F3 (All topics) C Revision F3 (All topics) C MS
     
Revision F3 (All topics) D Revision F3 (All topics) D MS

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