# Foundation GCSE Mathematics Revision and Practice

Whatever specification you teach, GCSE Mathematics: Revision and Practice by David Rayner remains an all-round winner. With the latest edition presented in full colour and completely updated for the new GCSE specifications from 2015, this uniquely effective series continues to increase your students' chance of success with your chosen exam board. This book is targeted at the Foundation tier GCSE, and provides a wealth of practice with careful progression, alongside

substantial revision support for the new-style grading and exam questions. With all the new topics included, and a dedicated section on using and applying mathematics, this unique resource can be used either as a course book over two or three years or as a revision text in the run-up to exams. GCSE

Mathematics: Revision and Practice provides invaluable support for your GCSE maths programme.

- Front Cover
- Title Page
- About this book
- Contents
- 1 Number 1
- 1.1 Properties of numbers
- 1.2 Arithmetic without a calculator
- 1.3 Decimals
- 1.4 Negative numbers
- 1.5 Order of operations
- 1.6 Powers and roots
- 1.7 Using a calculator
- 1.8 Solving numerical problems 1
- Test yourself

- 2 Algebra 1
- 2.1 Basic algebra
- 2.2 Solving equations
- 2.3 Using a formula
- 2.4 Sequences
- Test yourself

- 3 Geometry 1
- 3.1 Coordinates
- 3.2 Using angles
- 3.3 Accurate drawing
- 3.4 Congruent and similar shapes
- 3.5 Tessellations
- 3.6 Symmetry
- 3.7 Quadrilaterals
- 3.8 Isometric drawing
- 3.9 Area
- 3.10 Perimeter
- Test yourself

- 4 Statistics 1
- 4.1 Interpreting graphs
- 4.2 Averages and spread
- 4.3 Representing data
- 4.4 Comparing sets of data
- Test yourself

- 5 Number 2
- 5.1 Long multiplication and division
- 5.2 Fractions
- 5.3 Percentages
- 5.4 Ratio
- 5.5 Proportion
- 5.6 Mental arithmetic
- 5.7 Rounding
- 5.8 Estimating
- 5.9 Solving numerical problems 2
- Test yourself

- 6 Algebra 2
- 6.1 Factors
- 6.2 Changing the subject of a formula
- 6.3 Inequalities
- 6.4 Straight-line graphs
- 6.5 Equations of lines in the form y = mx + c
- 6.6 Simultaneous equations using graphs
- 6.7 Quadratic expressions and equations
- 6.8 Sketching graphs
- 6.9 Graphs of quadratic functions
- 6.10 Simultaneous equations – algebraic solutions
- Test Yourself

- 7 Geometry 2
- 7.1 Transforming shapes
- 7.2 Vectors
- 7.3 The circle
- 7.4 Volume and surface area
- 7.5 Surface areas of cylinders, cones and spheres
- 7.6 Bearings and scale drawing
- 7.7 Angles in polygons
- 7.8 Locus and constructions
- 7.9 Pythagoras’ theorem
- 7.10 Trigonometry
- Test yourself

- 8 Statistics 2
- 8.1 The data handling cycle
- 8.2 Frequency diagrams for discrete and continuous data
- 8.3 Correlation and scatter diagrams
- Test yourself

- 9 Number 3
- 9.1 Fractions, decimals and percentages
- 9.2 Compound measures
- 9.3 Metric and imperial units
- 9.4 Measurement is approximate
- 9.5 Solving numerical problems 3
- Test yourself

- 10 Probability
- 10.1 Sets
- 10.2 Probability scale and experiments
- 10.3 Working out probabilities
- 10.4 Listing possible outcomes of two or more events
- 10.5 Exclusive events
- 10.6 Probabilities of independent events
- 10.7 Conditional probability
- Test yourself

- 11 Problems, proofs and puzzles
- 11.1 Problem–solving tasks
- 11.2 Puzzles and games

- 12 Revision
- 12.1 Revision exercises
- 12.2 Multiple choice tests

- Answers
- Index
- Back Cover