**Number**

**Chapter 1: Number**

- Square numbers & cube numbers
- Multiples of whole numbers
- Factors of whole numbers
- Prime numbers
- More about HCF & LCM
- Real Numbers

**Chapter 2: Fractions & Percentages **

- Equivalent fractions
- Fractions and decimals
- Recurring decimals
- Percentages, fractions & decimals
- Calculating percentages
- Increasing or decreasing quantities by a percentage

**Chapter 3: The four rules **

- Order of operations
- Choosing the correct operation
- Finding a fraction of a quantity
- Adding and subtracting fractions
- Multiplying & dividing fractions

**Chapter 4: Directed numbers**

- Introduction to directed numbers
- Everyday use of directed numbers
- The number line
- Adding & subtracting directed numbers
- Multiplying and dividing directed numbers

**Chapter 5: Powers & roots**

- Squares & square roots
- Cubes & Cube roots
- More powers and roots
- Exponential growth – Extended syllabus

**Chapter 6: Ordering & set notation**

- Inequalities
- Sets & Venn Diagrams
- More about Venn Diagrams – Extended syllabus

**Chapter 7: Ratio, proportion & rate **

- Ratio
- Increases & decreases using ratios
- Speed
- Rates
- Direct proportion
- Inverse proportion

**Chapter 8: Estimation & limits of accuracy **

- Rounding whole numbers
- Rounding decimals
- Rounding to significant figures
- Upper & lower bounds
- Upper & lower bounds for calculations – Extended

**Chapter 9: Standard Form**

- Standard form
- Calculating with standards form

**Chapter 10: Applying numbers & using calculators **

- Units of measurements
- Converting between metric units
- Time
- Currency conversions

**Algebra**

**Chapter 11: Algebraic representation & Formulae**

- The language of algebra
- Substitution into formulae
- Rearranging formulae
- More complicated formula – Extended

**Chapter 12: Algebraic manipulation**

- Simplifying expressions
- Expanding brackets
- Factorisation
- Multiplying two brackets – using single brackets
- Multiplying two brackets – using double brackets
- Expanding three brackets – Extended
- Quadratic Factorisation – Extended
- Algebraic fractions – Extended

**Chapter 13: Solutions of equations & Inequalities**

- Solving linear equations
- Setting up equations
- Solving quadratic equations by factorisation – Extended
- Solving quadratic equations by the quadratic formula – Extended
- Solving quadratic equations by completing the square – Extended
- Simultaneous equations
- Linear & Non-linear simultaneous equations – Extended
- Solving inequalities – Extended

**Chapter 14: Graphs in practical situations**

- Conversion graphs
- Travel graphs
- Speed-time graphs – Extended
- Curved graphs – Extended

**Chapter 15: Straight-line graphs**

- Drawing straight-line graphs
- The equation y = mx + c
- More about straight-line graphs
- Solving equations graphically
- Parallel lines
- Points & lines
- Perpendicular lines

**Chapter 16: Graphs of functions**

- Quadratic graphs
- Turning points on a quadratic graph
- Reciprocal graphs
- More graphs
- Exponential graphs
- Estimating gradients

**Chapter 17: Number sequences **

- Patterns in number sequences
- The nth term of a sequence
- General rules from pattern
- Further sequences

**Chapter 18: Indices**

- Using indices
- Negative indices
- Multiplying & dividing with indices
- Fractional indices – Extended

**Chapter 19: Variation**

- Direct Variation – Extended
- Inverse Variation – Extended

**Chapter 20: Linear programming**

- Graphical inequalities – Extended
- More than one inequality – Extended
- Linear programming – Extended

**Chapter 21: Functions**

- Function notation
- Inverse functions
- Composite functions
- More about composite functions

**Chapter 22: Differentiation **

- The gradient of a curve
- More complex curves
- Turning points

**Geometry & trigonometry**

**Chapter 23: Angle properties**

- Angle facts
- Parallel lines
- Angles in a triangle
- Angles in a quadrilateral
- Regular polygons
- Irregular polygons – Extended
- Tangents & Diameters
- Angles in a circle – Extended
- Cyclic quadrilaterals – Extended
- Alternate segment theorem – Extended

**Chapter 24: Geometrical terms & relationships**

- Measuring & drawing angles
- Bearings
- Nets
- Congruent shapes
- Congruent triangles – Extended
- Similar shapes
- Areas of similar triangles – Extended
- Areas & volumes of similar shapes – Extended

**Chapter 25: Geometrical constructions**

- Constructing shapes
- Scale Drawings

**Chapter 26: Trigonometry **

- Pythagoras theorem
- Trigonometric ratios
- Calculating angles
- Using sine, cosine & tangent functions
- Which ratio to use
- Applications of trigonometric ratios – Extended
- Problems in three dimensions – Extended
- Sine & cosine of obtuse angles – Extended
- Using sine rule and the cosine rule – Extended
- Using sine to find an area of a triangle – Extended
- Sine, cosine and tangent of any angle – Extended

**Chapter 27: Mensuration**

- Perimeter & aera of a rectangle
- Area of a triangle
- Area of a parallelogram
- Area of a trapezium
- Circumference & area of a circle
- Surface area & volume of a cuboid
- Volume & surface area of a prism
- Volume & surface area of a cylinder
- Sectors & arcs: 1
- Sectors & arcs: 2 – Extended
- Volume of a pyramid
- Volume & surface area of a cone
- Volume & surface area of a sphere

**Chapter 28: Symmetry**

- Lines of symmetry
- Rotational symmetry
- Symmetry of special two-dimensional shapes
- Symmetry of three-dimensional shapes
- Symmetry in circles

**Chapter 29: Vectors**

- Introduction to vectors
- Using vectors
- The magnitude of a vector

**Chapter 30: Transformations**

- Translations
- Reflections
- Rotations
- Enlargements

**Statistics & Probability **

**Chapter 31: Statistical representation**

- Frequency tables
- Pictograms
- Bar charts
- Pie charts
- Scatter diagrams
- Histograms
- Histograms with bars of unequal width

**Chapter 32: Statistical measures **

- The mode
- The median
- The mean
- The range
- Stem-and-leaf diagrams
- Using frequency tables
- Grouped data
- Cumulative frequency diagrams
- Box-and-whisker plots

**Chapter 33: Probability **

- The probability scale
- Calculating probabilities
- Probability that an event will not happen
- Probability in practise
- Using Venn diagrams
- Possibility diagrams
- Tree diagrams
- Conditional probabilities