KS2 Maths textbook

Year 4 Short Multiplication and Short Division: lesson and practice

  • Strand Number
  • Level Year 4
  • Practice 130 questions with step-by-step solutions

National Curriculum for England, Key Stage 2 mathematics, Year 4. Content: Multiply and divide whole numbers by 10 and 100, Multiply two-digit and three-digit numbers by a one-digit number using a formal written layout, Use the distributive law to multiply two-digit numbers by one digit, and multiply together three numbers, Divide using place value and known facts, including short division with and without remainders for 2- and 3-digit numbers by 1-digit numbers, and interpret remainders, Solve integer scaling problems and harder correspondence problems such as n objects are connected to m objects.

Open Year 4 chapter

By the end of this chapter you will be able to

  • Multiply and divide whole numbers by 10 and 100 by moving the digits, not by “adding a zero”
  • Multiply a two-digit or three-digit number by a one-digit number using partitioning, the grid method and the distributive law
  • Use the expanded column method, then short multiplication with carrying
  • Divide using place value and known facts, then use short division (the bus stop method) for 2-digit and 3-digit numbers
  • Work out and use remainders, and decide what a remainder means in a story
  • Solve scaling problems (“4 times as many”) and correspondence problems (3 hats and 5 tops make 15 outfits)
  • Multiply three numbers, and solve word problems using bar models

You should already know

  • Times tables up to 12 × 12 and the matching division facts (Chapter 3)
  • Place value in numbers up to 10,000 (Chapter 1)
  • Column addition with carrying (Chapter 2)
  • Multiplying by 10 in the 10 times table, and using known facts like 6 × 7 = 42 to work out 60 × 7

Where this leads

  • Fractions of amounts and dividing quantities (Chapter 5)
  • Money, decimals, and dividing by 10 and 100 to make decimals (Chapter 6)
  • Perimeter and area (Chapter 7)
  • Long multiplication and long division in Years 5 and 6
  • Multiplying and dividing by 1,000 in Year 5

Lessons in this chapter

  1. 4.1 Multiplying and dividing by 10 and 100 · Worksheet (PDF) · Answers (PDF)
  2. 4.2 Partitioning, the grid method and the distributive law · Worksheet (PDF) · Answers (PDF)
  3. 4.3 Column multiplication: expanded and short · Worksheet (PDF) · Answers (PDF)
  4. 4.4 Dividing with place value and short division · Worksheet (PDF) · Answers (PDF)
  5. 4.5 Division with remainders · Worksheet (PDF) · Answers (PDF)
  6. 4.6 Scaling, correspondence and multiplying three numbers · Worksheet (PDF) · Answers (PDF)
  7. 4.7 Word problems with bar models · Worksheet (PDF) · Answers (PDF)
  8. Summary and key words
  9. Check-up and SATs-style questions · Worksheet (PDF) · Answers (PDF)

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