KS2 Maths textbook

Year 6 Percentages: lesson and practice

  • Strand Fractions and decimals
  • Level Year 6
  • Practice 101 questions with step-by-step solutions

National Curriculum for England, Key Stage 2 mathematics, Year 6. Content: Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts, Solve problems involving the calculation of percentages (of measures, such as 15% of 360), Solve problems involving the use of percentages for comparison.

Open Year 6 chapter

By the end of this chapter you will be able to

  • Change between fractions, decimals and percentages, and know the common equivalences by heart
  • Find 10%, 1%, 50%, 25% and 75% of an amount, using the building blocks
  • Find a percentage of a measure, such as 15% of 360, and of an amount of money
  • Write one amount as a percentage of a whole, and find the whole from a percentage
  • Compare percentages from different totals, and savings in pounds, to say which is better
  • Estimate and check percentage answers, and explain your reasoning about them

You should already know

  • Fractions, decimals and place value to three decimal places (Year 6, Chapters 4 and 5)
  • Equivalent fractions and simplifying (Year 6, Chapter 4)
  • Multiplying and dividing decimals by 10, 100 and 1000 (Year 6, Chapter 5)
  • Per cent as out of 100, and the fractions and decimals of 1/2 and 1/4 (Year 5, Chapter 7)

Where this leads

  • Ratio and proportion, where percentages are one way to compare amounts (Year 6, Chapter 7)
  • Measures and conversions, with percentages of lengths and masses (Year 6, Chapter 9)
  • Statistics: pie charts and percentages of a whole (Year 6, Chapter 12)

Lessons in this chapter

  1. 6.1 Per cent, fractions and decimals
  2. 6.2 Percentages in real life
  3. 6.3 Building blocks: 10%, 1%, 50%, 25% and 75%
  4. 6.4 Percentages of measures
  5. 6.5 Using percentages to compare
  6. 6.6 Estimating, checking and solving percentage problems
  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