KS2 Arithmetic (SATs) textbook

Chapter 4: Decimals and percentages

  • Strand Decimals, percentages and fractions
  • Level Year 6
  • Practice 104 questions with step-by-step solutions

KS2 SATs practice for arithmetic (Year 6). Original questions in the style of the national tests. Content: Read and write decimals as fractions, for example 0.71 = 71/100, and recognise thousandths (Year 5), Identify the value of each digit in numbers given to three decimal places; multiply and divide by 10, 100 and 1000 (Year 6), Multiply and divide numbers with up to two decimal places by one-digit and two-digit whole numbers (Year 5), Round to a specified degree of accuracy, including in context (Year 6), Recall and use equivalences between simple fractions, decimals and percentages (Year 5-6), Calculate percentages of amounts, such as 15% of 360, and use percentages for comparison (Year 5-6).

Open Year 6 chapter

By the end of this chapter you will be able to

  • Write a decimal as a fraction and a fraction as a decimal
  • Find the value of a digit in a decimal to three places
  • Compare, order and round decimals
  • Multiply and divide decimals by whole numbers
  • Change between fractions, decimals and percentages, and find a percentage of an amount

You should already know

  • Place value and tenths, hundredths (Year 5 maths)
  • Fractions with denominators 2, 4, 5 and 10 (Chapter 3 of this book)

Where this leads

  • Ratio and proportion, including percentages as a proportion of a whole (Chapter 5 of this book)

Lessons in this chapter

  1. 4.1 Decimals as fractions and place value to three places
  2. 4.2 Comparing, ordering and rounding decimals
  3. 4.3 Multiplying decimals by whole numbers
  4. 4.4 Dividing decimals by whole numbers
  5. 4.5 Fractions, decimals, percentages and amounts
  6. Summary and key words
  7. Check-up and practice test 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 Arithmetic (SATs) past papers