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QMMaths

Key Stage 3 Notes

Use these notes to learn more about a specific topic. Click on the title of the notes to access them. The notes are in PDF format, which means that you can read them on screen, save them to your own computer and print them very easily.

For each topic you can access a set of practice sheets, shown on the right hand side in the table below. Just click on a link to try a sheet.

The notes are also available as a book, complete with handy index. The file is quite large (about 3 MB) - click on this link to access it.

Number
NotesHelp sheets
Negative numbers (7) Addition and subtraction with negatives
Multiplication and division with negatives
Mixed negatives
Decimals: ordering, rounding and calculations (7--9) Decimal places
Decimal multiplication
Decimal division
Ordering, adding and subracting decimals
Squares, cubes, roots & indices (year 7) Indices and Roots
Fraction ordering and calculations (7--8) Fraction of a quantity
Fraction addition and subtraction
Fraction multiplication and division
Percentages (years 7--9) Using decimal multipliers in percentage calculations
Decimal multipliers for percentage increase or decrease
Percentage change
Reverse percentages
The fraction family (7--9) Percentage of a quantity
Converting between fractions, decimals and percentages
Working with large numbers (7) Multiplication and division
Multiplying and dividing with large numbers
Zero, negative & fractional indices (years 8 & 9) Zero, fractional and negative indices
Ratio (7--9) Ratio
Significant figures & estimation (8 & 9) Significant figures
Estimation
Standard form (8 & 9) Standard Form
Errors (9) Errors in measurement
Algebra
NotesHelp sheets
Rules of Algebra (7) Substitution
Simplifying (7-9) Collecting like terms
Simplifying multiplication and division
Formulae (7-9) Rearranging formulae (1)
Rearranging formulae (2)
Equations (7--9) One sided equations
Two sided equations
Brackets (7-9) Expanding brackets
Expanding double brackets
Sequences (7--9) Linear sequences
Quadratic sequences
Graphs (7--9) Horizontal and vertical lines
Plotting curves
y = mx + c
Gradient
Factorisation (7--9) Factorising common factors
Factorising into double brackets
Factorising harder double brackets
Difference of two squares (DOTS)
Rules of Indices (8 & 9) Rules of indices
Trial and improvement (8 & 9) Trial and Improvement
Inequalities (Year 9) Inequalities
Simultaneous equations (9) Simultaneous equations (1)
Simultaneous equations (2)
Data
NotesHelp sheets
Average & spread (7--9) Averages
Pie charts (7)
Probability (7--9) Probability
Stem and leaf diagrams (7 & 8)
Boxplots (8--9)
Scatter graphs & correlation (8--9)
Cumulative frequency (9)
Shape
NotesHelp sheets
Rules of angles (7--9)
Perimeter and area, including circles (7--9) Area of basic shapes
Area and circumference of circles
Surface area & volume (7--9)
Bearings (8--9) Bearings
locus (8--9)
Pythagoras' theorem (8--9) Pythagoras theorem
Similarity (9)
Trigonometry (9) Trigonometry - finding a side (1)
Trigonometry - finding a side (2)
Trigonometry - finding an angle
Circle theorems (Year 9)