PracticeQuestionsYears 1–7
← Mathematics

Fractions, decimals and percentages

Year 6 · Upper Key Stage 2 · 6F11 — Recall and use equivalences between FDP

Draft — awaiting teacher review

Builds on: Tenths, hundredths and decimal place value (Year 5), Multiplying fractions by whole numbers (Year 6)

I

Concept Anchor

A percentage is a fraction out of 100. Any fraction can be written as a decimal by dividing the numerator by the denominator.

Worked example

Write 38\tfrac{3}{8} as a percentage.

  1. 1.Divide: 3÷8=0.3753 \div 8 = 0.375.
  2. 2.Multiply by 100: 0.375×100=37.50.375 \times 100 = 37.5.
  3. 3.So 38=37.5%\tfrac{3}{8} = 37.5\%.
II

Guided Check

Find 35%35\% of 240240.

    III

    Independent Diagnostic Practice

    Q1Year 66F11 — Recall and use equivalences between FDP·Fluency·●○○Draft — awaiting teacher review

    Write 35\tfrac{3}{5} as a percentage.

    Q2Year 66F9 — Use written division to give decimal equivalents·Reasoning·●●○Draft — awaiting teacher review

    Which is the largest: 0.70.7, 23\tfrac{2}{3}, 68%68\%, 34\tfrac{3}{4}?

    Q3Year 66R2 — Solve problems involving percentages of amounts·Problem Solving·●●○Draft — awaiting teacher review

    A £60 coat is reduced by 15%15\%. What is the new price?