KS2 Maths textbook

Year 6 Algebra: lesson and practice

  • Strand Algebra
  • Level Year 6
  • Practice 97 questions with step-by-step solutions

National Curriculum for England, Key Stage 2 mathematics, Year 6. Content: Use simple formulae, Generate and describe linear number sequences, Express missing number problems algebraically, Find pairs of numbers that satisfy an equation with two unknowns, Enumerate possibilities of combinations of two variables.

Open Year 6 chapter

By the end of this chapter you will be able to

  • Substitute numbers into a simple formula, and write a formula in words and letters
  • Write a missing number problem as an equation with a letter, and solve it by working backwards
  • Describe the term-to-term rule of a linear sequence, and continue the sequence
  • Write the nth term of a linear sequence, and use it to find a term or test whether a number is a term
  • Find all the pairs of numbers that satisfy an equation with two unknowns, using a table
  • List every combination of two items that makes a total, and count them

You should already know

  • Order of operations, with brackets, multiplying and adding (Year 6, Chapter 2)
  • Multiples, factors and place value (Year 6, Chapters 1 and 3)
  • Counting on and back in steps, and finding the difference between two numbers (Years 3 to 5)
  • Ratio and proportion, where amounts are linked by the same rule (Year 6, Chapter 7)

Where this leads

  • Measures, area and volume, where formulae are used for shapes (Year 6, Chapter 9)
  • Coordinates and graphs of linear rules, such as y = 2x + 1 (Year 6, Chapter 11)
  • Algebra and equations at KS3 and GCSE

Lessons in this chapter

  1. 8.1 Letters stand for numbers: simple formulae
  2. 8.2 Missing numbers written with letters
  3. 8.3 Linear number sequences: the term-to-term rule
  4. 8.4 The nth term of a linear sequence
  5. 8.5 Pairs of numbers with two unknowns
  6. 8.6 Combinations of two variables
  7. Summary and key words
  8. Check-up and SATs-style questions

Read the whole chapter on one page (good for printing).

Practise with real exam questions

The DfE publishes every past KS2 test, with mark schemes, for free.

KS2 Maths past papers