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Year 6 Maths — Decimals

Compare and order decimals, add and subtract them, and switch between decimals and fractions.

Name: ________________________

Before you start

Move between 3 and 4 in tenths. A whole line of numbers is hiding between two whole ones.

3.03.13.23.33.43.53.63.73.83.94.0

Nothing says the line has to stop at tenths. Chop each of these gaps into ten again and hundredths appear — 3.14, 3.15 — and you could keep chopping for ever.

  1. 1.Match each fraction to the decimal that is worth the same.

    • 1/2
    • 1/4
    • 3/4
    • 1/5
    • 3/10
    • 0.5
    • 0.25
    • 0.75
    • 0.3
    • 0.2

  2. 2.What is 0.6 + 0.45?

  3. 3.Which fraction is the same as 0.05?

    • a) 5/10
    • b) 1/25
    • c) 1/20
    • d) 1/5

  4. 4.Tap where 0.4 sits.

    Mark the line with an X.

    0.00.10.20.30.40.50.60.70.80.91.0

  5. 5.Sort each decimal by whether it is closer to 0 or closer to 1.

    Groups: Closer to 0 · Closer to 1

    • 0.7
    • 0.91
    • 0.09
    • 0.45
    • 0.2
    • 0.55

  6. 6.A pencil is 12.5 cm long and a pen is 14.2 cm long. How much longer is the pen, in centimetres? Give just the number.

  7. 7.8.6 - 3.75 = ?

  8. 8.Put these decimals in order, smallest first.

    • 0.5
    • 1.05
    • 0.09
    • 0.41
    • 0.4

Answer key — Year 6 Maths — Decimals

  1. 1. 1/2 → 0.5; 1/4 → 0.25; 3/4 → 0.75; 1/5 → 0.2; 3/10 → 0.3
  2. 2. 1.05
  3. 3. c) 1/20
  4. 4. 0.4
  5. 5. 0.2 → Closer to 0; 0.7 → Closer to 1; 0.45 → Closer to 0; 0.55 → Closer to 1; 0.09 → Closer to 0; 0.91 → Closer to 1
  6. 6. 1.7
  7. 7. 4.85
  8. 8. 1. 0.09 2. 0.4 3. 0.41 4. 0.5 5. 1.05