1 Sets of numbers
1.1 Sets of numbers
1.2 Adding and subtracting integers
1.3 Multiplying integers
1.4 Dividing integers
1.5 Using integers
1.6 Squares and square roots
1.7 Estimating square roots
1.8 Powers
1.9 Prime numbers and prime factors
1.10 Divisibility
1.11 Scientific notation - large numbers
1.12 Scientific notation - small numbers
1.13 Scientific notation - using a calculator
Review exercise 1
Summary
2 Decimals and significant figures
2.1 Rounding
2.2 Significant figures
2.3 Mental calculations
2.4 Decimal calculations without a calculator
2.5 Decimal calculations with a calculator
2.6 Decimal applications
Review exercise 2
Summary
3 Angles and scale drawing - review
3.1 Related angles
3.2 Angles of a polygon
3.3 Drawing regular polygons
3.4 Scale drawing - representative fractions
3.5 Calculating the scale
3.6 Drawing scale diagrams
3.7 Scale drawings with bearings
3.8 Angle problems involving bearings
Review exercise 3
Summary
4 Formulae and sequences
4.1 Number machines
4.2 Reversing
4.3 Evaluating formulae
4.4 Further formulae
4.5 Finding the missing variable
Review exercise 4
Summary
5 Fractions and percentages
5.1 Fractions, decimals and percentages
5.2 Using one percent and ten percent
5.3 Percentages using a calculator
5.4 Percentage of a total
5.5 Percentage increase and Percentage decrease
5.6 Finding the original amount
5.7 Compound interest
Review exercise 5
Summary
6 Proportion
6.1 Direct proportion
6.2 Using proportion
6.3 Inverse proportion
6.4 Using inverse proportion
6.5 Mixed proportion questions
Review exercise 6
Summary
7 Area
7.1 Area of a triangle
7.2 Area of a rhombus
7.3 Area of a kite
7.4 Area of a parallelogram
7.5 Area of a trapezium
7.6 Area of composite shapes
Review exercise 7
Summary
8 Information handling
8.1 Types of data
8.2 Organising data
8.3 Stem and leaf diagrams
8.4 Back to back stem and leaf diagrams
8.5 Grouping continuous data
8.6 Scatter diagrams
8.7 Measures of central tendency
Review exercise 8
Summary
9 Algebra
9.1 Review - simplifying expressions
9.2 Review - solving equations
9.3 More complex equations
9.4 The distributive law
9.5 Simplifying using the distributive law
9.6 Solving equations using the distributive law
9.7 Complex equations using the distributive law
9.8 Complex equations with algebraic fractions
9.9 Factorising expressions
9.10 Forming equations
9.11 Solving inequations
Review exercise 9
Summary
10 Enlarging and reducing (was called Similarity)
10.1 Enlargement and reduction
10.2 Similar shapes
10.3 Calculating dimensions of similar shapes
Review exercise 10
Summary
11 Circle
11.1 The circumference of a circle
11.2 Circumference and diameter
11.3 Calculating the circumference
11.4 Problems involving circumference
11.5 Finding the diameter
11.6 Area of a circle
11.7 Calculating the area of a circle
11.8 Problems involving area
11.9 Lengths of arcs
11.10 Areas of sectors
Review exercise 11
Summary
12 Time, distance and speed
12.1 Time - fractions and decimals
12.2 Use of formulae to calculate speed, distance and time
12.3 Changing units of speed
12.4 Distance-time graphs
12.5 Calculating speed from graphs
12.6 Distance charts
Review exercise 12
Summary
13 Pythagoras' theorem
13.1 Investigating triangles
13.2 Investigating areas of squares
13.3 The hypotenuse
13.4 Pythagoras' theorem
13.5 Calculating a shorter side
13.6 Applications
13.7 The converse of Pythagoras' theorem
Review exercise 13
Summary
14 Probability
14.1 Simple probability
14.2 Two-way tables
14.3 Further probability
14.4 Expectation
Review exercise 14
Summary
15 Introduction to straight line graphs
15.1 Lines on coordinate diagrams
15.2 Families of lines
15.3 Equations of parallel lines
15.4 The y-intercept
15.5 The y-intercept and linear equations
Review exercise 15
Summary
16 Problem solving
Answers
Index