Cover
Acknowledgement
Contents
Chapter 1: Number
1.1: Calculations
1.2: Decimal numbers
1.3: Place value
1.4: Factors and multiples
1.5: Squares, cubes and roots
1.6: Index notation
1.7: Prime factors
1 Problem-solving
Chapter 2: Algebra
2.1: Algebraic expressions
2.2: Simplifying expressions
2.3: Substitution
2.4: Formulae
2.5: Expanding brackets
2.6: Factorising
2.7: Using expressions and formulae
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Chapter 3: Graphs, tables and charts
3.1: Frequency tables
3.2: Two-way tables
3.3: Representing data
3.4: Time series
3.5: Stem and leaf diagrams
3.6: Pie charts
3.7: Scatter graphs
3.8: Line of best fit
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Chapter 4: Fractions and percentages
4.1: Working with fractions
4.2: Operations with fractions
4.3: Multiplying fractions
4.4: Dividing fractions
4.5: Fractions and decimals
4.6: Fractions and percentages
4.7: Calculating percentages 1
4.8: Calculating percentages 2
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Chapter 5: Equations, inequalities and sequences
5.1: Solving equations 1
5.2: Solving equations 2
5.3: Solving equations with brackets
5.4: Introducing inequalities
5.5: More inequalities
5.6: Using formulae
5.7: Generating sequences
5.8: Using the nth term of a sequence
5 Problem-solving
Chapter 6: Angles
6.1: Properties of shapes
6.2: Angles in parallel lines
6.3: Angles in triangles
6.4: Exterior and interior angles
6.5: More exterior and interior angles
6.6: Geometrical problems
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Chapter 7: Averages and range
7.1: Mean and range
7.2: Mode, median and range
7.3: Types of average
7.4: Estimating the mean
7.5: Sampling
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Chapter 8: Perimeter, area and volume 1
8.1: Rectangles, parallelograms and triangles
8.2: Trapezia and changing units
8.3: Area of compound shapes
8.4: Surface area of 3D solids
8.5: Volume of prisms
8.6: More volume and surface area
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Chapter 9: Graphs
9.1: Coordinates
9.2: Linear graphs
9.3: Gradient
9.4: y = mx + c
9.5: Real-life graphs
9.6: Distance-time graphs
9.7: More real-life graphs
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Chapter 10: Transformations
10.1: Translation
10.2: Reflection
10.3: Rotation
10.4: Enlargement
10.5: Describing enlargements
10.6: Combining transformations
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Chapter 11: Ratio and proportion
11.1: Writing ratios
11.2: Using ratios 1
11.3: Ratios and measures
11.4: Using ratios 2
11.5: Comparing using ratios
11.6: Using proportion
11.7: Proportion and graphs
11.8: Proportion problems
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Chapter 12: Right-angled triangles
12.1: Pythagoras' theorem 1
12.2: Pythagoras' theorem 2
12.3: Trigonometry: the sine ratio 1
12.4: Trigonometry: the sine ratio 2
12.5: Trigonometry: the cosine ratio
12.6: Trigonometry: the tangent ratio
12.7: Finding lengths and angles using trigonometry
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Chapter 13: Probability
13.1: Calculating probability
13.2: Two events
13.3: Experimental probability
13.4: Venn diagrams
13.5: Tree diagrams
13.6: More tree diagrams
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Chapter 14: Multiplicative reasoning
14.1: Percentages
14.2: Growth and decay
14.3: Compound measures
14.4: Distance, speed and time
14.5: Direct and inverse proportion
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Chapter 15: Constructions, loci and bearings
15.1: 3D solids
15.2: Plans and elevations
15.3: Accurate drawings 1
15.4: Scale drawings and maps
15.5: Accurate drawings 2
15.6: Constructions
15.7: Loci and regions
15.8: Bearings
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Chapter 16: Quadratic equations and graphs
16.1: Expanding double brackets
16.2: Plotting quadratic graphs
16.3: Using quadratic graphs
16.4: Factorising quadratic expressions
16.5: Solving quadratic equations algebraically
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Chapter 17: Perimeter, area and volume 2
17.1: Circumference of a circle 1
17.2: Circumference of a circle 2
17.3: Area of a circle
17.4: Semicircles and sectors
17.5: Composite 2D shapes and cylinders
17.6: Pyramids and cones
17.7: Spheres and composite solids
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Chapter 18: Fractions, indices and standard form
18.1: Multiplying and dividing fractions
18.2: The laws of indices
18.3: Writing large numbers in standard form
18.4: Writing small numbers in standard form
18.5: Calculating with standard form
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Chapter 19: Congruence, similarity and vectors
19.1: Similarity and enlargement
19.2: More similarity
19.3: Using similarity
19.4: Congruence 1
19.5: Congruence 2
19.6: Vectors 1
19.7: Vectors 2
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Chapter 20: More algebra
20.1: Graphs of cubic and reciprocal functions
20.2: Non-linear graphs
20.3: Solving simultaneous equations graphically
20.4: Solving simultaneous equations algebraically
20.5: Rearranging formulae
20.6: Proof
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