GCSE Maths textbook
GCSE Maths Substitution and Formulae: lesson and practice questions
- Strand Algebra
- Tier Foundation and Higher
- Practice 172 questions with step-by-step solutions
By the end of this chapter you will be able to
- Use the words expression, equation, formula, identity, term and subject correctly
- Write expressions and formulae from words and from diagrams
- Substitute positive and negative numbers into expressions, working in the correct order (BIDMAS)
- Use scientific and geometric formulae such as speed, density, force, kinetic energy, area and volume
- Change the subject of a formula using inverse operations (one step, two steps, brackets, fractions, squares and roots)
You should already know
- Negative numbers and BIDMAS (Chapter 1)
- Squares, cubes and square roots (Chapter 2)
- Fractions (Chapter 3)
- Collecting like terms and algebra notation (Chapter 7)
Where this leads
- Solving linear equations (Chapter 9)
- Straight-line graphs, y = mx + c (Chapter 12)
- Speed, density and other compound measures (Chapter 16)
- Areas and volumes (Chapters 18 and 19)
Foundation lessons in this chapter
- 8.1 Letters, expressions and formulae · Worksheet (PDF) · Answers (PDF)
- 8.2 Substituting into expressions · Worksheet (PDF) · Answers (PDF)
- 8.3 Substituting negative numbers · Worksheet (PDF) · Answers (PDF)
- 8.4 Substituting into formulae · Worksheet (PDF) · Answers (PDF)
- 8.5 Writing formulae · Worksheet (PDF) · Answers (PDF)
- 8.6 Changing the subject: one step and two steps · Worksheet (PDF) · Answers (PDF)
- 8.7 Changing the subject: brackets, fractions, powers and roots · Worksheet (PDF) · Answers (PDF)
- 8.9 Using formulae: problems and reasoning · Worksheet (PDF) · Answers (PDF)
- Summary and key words
- Check-up and exam-style questions · Worksheet (PDF) · Answers (PDF)
Read the whole Foundation chapter on one page (good for printing).
Higher lessons in this chapter
- 8.1 Letters, expressions and formulae · Worksheet (PDF) · Answers (PDF)
- 8.2 Substituting into expressions · Worksheet (PDF) · Answers (PDF)
- 8.3 Substituting negative numbers · Worksheet (PDF) · Answers (PDF)
- 8.4 Substituting into formulae · Worksheet (PDF) · Answers (PDF)
- 8.5 Writing formulae · Worksheet (PDF) · Answers (PDF)
- 8.6 Changing the subject: one step and two steps · Worksheet (PDF) · Answers (PDF)
- 8.7 Changing the subject: brackets, fractions, powers and roots · Worksheet (PDF) · Answers (PDF)
- 8.8 Higher: the subject appears twice · Worksheet (PDF) · Answers (PDF)
- 8.9 Using formulae: problems and reasoning · Worksheet (PDF) · Answers (PDF)
- Summary and key words
- Check-up and exam-style questions · Worksheet (PDF) · Answers (PDF)
Read the whole Higher chapter on one page (good for printing).
Practise with real exam questions
Every exam board publishes its past papers and mark schemes free on its own website. We link you straight there, organised by subject.