Preface and acknowledgements
How to use this book
Times tables

Arithmetic

1 - Basic Arithmetic and the “BODMAS” rule. Getting used to basic arithmetic and simple calculations, and making sure you perform them correctly

2 - Negative numbers. Understanding negative numbers and dealing with them accurately.

3 – Fractions. Understanding what fractions mean and being able to manipulate them correctly.

4 – Percentages, ratios and proportions. Using percentages and ratios to describe and compare values.

5 – Decimals, decimal places and significant figures. Using decimal numbers and rounding numbers to a certain number of decimal places.

6 – Scientific notation. Representing very small and very large numbers using scientific notation

7 - Indices. Writing repeated multiplications easily, roots and the laws of powers.

Algebra

8 – An introduction to algebra. Using symbols to represent numbers and an introduction to algebra

9 – Brackets in algebra. Using brackets in algebraic expressions

10 – Solving linear equations. Solving simple equations using algebra.

11 - Transposition and algebraic fractions. Rearranging expressions using basic rules of algebra.

12 - Simultaneous equations. Solving two equations at the same time.

Data

13 – Presentation of data. Using various types of graphs and charts to illustrate data visually.

14 – Measures of location and dispersion. Working out “averages” and a measure of the spread of a set of data.

15 - Straight Lines. Linear data and calculating the equation of a straight line.

16 – Introduction to probability. Working out probabilities - the chances of something happening

Other topics

17 – Areas and volumes. Calculating the areas and volumes of basic shapes

18 – Logarithms. Calculating logarithms - the opposite of powers

19 – Quadratic equations. Solving equations involving powers of x.

20 – Trigonometry. Calculations with triangles, including angles and trigonometric functions.

21 – Inequalities and basic logic. Using mathematical symbols to represent inequalities and basic logical concepts

Summary
Further work on our website
Glossary
Index