KS2 Maths textbook

Year 6 Long Multiplication, Long Division and BODMAS: lesson and practice

  • Strand Number
  • Level Year 6
  • Practice 96 questions with step-by-step solutions

National Curriculum for England, Key Stage 2 mathematics, Year 6. Content: Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication, Divide numbers up to 4 digits by a two-digit whole number using long division, and interpret remainders as whole numbers, fractions, or by rounding, Divide numbers up to 4 digits by a one-digit number using short division, and by a two-digit number where appropriate, Perform mental calculations, including with mixed operations and large numbers, Use the order of operations to carry out calculations involving the four operations, Solve addition, subtraction, multiplication and division multi-step problems, Use estimation to check answers and determine an appropriate degree of accuracy.

Open Year 6 chapter

By the end of this chapter you will be able to

  • Multiply a number of up to four digits by a two-digit number using long multiplication, and show the zero place holder
  • Divide a number of up to four digits by a two-digit number using long division, and write the remainder
  • Decide whether a remainder should be a whole number, a fraction or rounded, depending on the problem
  • Divide by a one-digit number using short division (the bus stop method), and use short division for some two-digit divisors
  • Use mental methods, such as partitioning, near round numbers, halving and doubling, and zeros, with large numbers and mixed operations
  • Use the order of operations, including brackets, to work out calculations
  • Estimate answers by rounding to one significant figure and check that an answer is sensible
  • Solve multi-step problems and give the answer to a suitable degree of accuracy

You should already know

  • Multiplying 2- and 3-digit numbers by a one-digit number, and by 10 and 100 (Year 5, Chapter 4)
  • Short division by a one-digit number and the idea of a remainder (Year 5, Chapter 5)
  • Place value of numbers up to 10,000,000 and rounding (Chapter 1)

Where this leads

  • Common factors and multiples, which use division and multiplication facts (Chapter 3)
  • Fractions and decimals, including dividing a whole number by a fraction (Chapters 4 and 5)
  • Algebra and the order of operations in formulae (Chapter 8)
  • Estimating and checking calculations in measures and area (Chapter 9)

Lessons in this chapter

  1. 2.1 Long multiplication
  2. 2.2 Long division with two-digit divisors
  3. 2.3 Short division (the bus stop method)
  4. 2.4 Mental calculation with mixed operations and large numbers
  5. 2.5 The order of operations
  6. 2.6 Multi-step problems, estimation and degrees of accuracy
  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