Solving problems with fractions (age 7+) · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Solving problems with fractions

Mathematics · Fractions · ages 7-8
Name ______________________   Date ____________

  1. Which fraction is bigger, 1/2 or 1/10?

    • 1/2
    • 1/10
    • They are equal

  2. A jug had 7/8 of a liter of juice. Sara drank 3/8 of a liter. How much juice is left?

    • 4/8 of a liter
    • 10/8 of a liter
    • 3/8 of a liter
    • 5/8 of a liter

  3. Which fraction is bigger: 1/2 or 1/3?

    • 1/2
    • 1/3
    • They are the same
    • Cannot tell

  4. What is 1/5 of 15?

    • 3
    • 5
    • 10

  5. Maria has 24 sweets. She gives 1/4 of them to her brother and eats 1/8 of them herself. Who gets more sweets?

    • Maria
    • They get the same amount
    • Her brother

  6. Which fraction is bigger: 2/3 or 3/4?

    • 3/4
    • 2/3
    • They are the same
    • Cannot tell

  7. Ben had 5/6 of a chocolate bar. He gave 1/4 of the bar to Ann. What fraction of the bar does Ben have left?

    • 7/12
    • 4/12
    • 1/2
    • 6/10

  8. Sam walked 1/2 km to the shop and then 1/3 km to the park. How many km did he walk in all?

    • 5/6 km
    • 2/5 km
    • 2/6 km
    • 1/6 km

  9. Jack says 3/8 is bigger than 1/2, because 3 is bigger than 1. Is he right?

    • They are the same size
    • No, 1/2 is bigger
    • Yes, he is right

  10. A ribbon is 40 cm long. Sam cuts off 1/5 of it for a bow, then cuts another 1/4 of the original ribbon for a badge. How many centimetres of ribbon are left?

    Answer: ______________

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Answer key

For grown-ups. Fold this page away before handing over the rest.

Solving problems with fractions W1-mt_SsLWS_APM7-s1

  1. 1/2 · 1/2 is half of something. 1/10 is a much smaller slice, even though 10 is a bigger number than 2.
  2. 4/8 of a liter · 7/8 minus 3/8 is 4/8, so 4/8 of a liter is left.
  3. 1/2 · 1/2 is bigger than 1/3 because halves are larger pieces than thirds.
  4. 3 · 15 shared into 5 equal groups gives 3 in each group, so 1/5 of 15 is 3.
  5. Her brother · 1/4 of 24 is 6, but 1/8 of 24 is 3. Her brother's share is bigger.
  6. 3/4 · 3/4 is bigger because 9/12 is more than 8/12.
  7. 7/12 · 5/6 minus 1/4 is 10/12 minus 3/12, which is 7/12.
  8. 5/6 km · 1/2 plus 1/3 is 3/6 plus 2/6, which is 5/6 km.
  9. No, 1/2 is bigger · 1/2 is the same as 4/8, which is more than 3/8. Comparing only the top numbers can trick you when the bottom numbers are different.
  10. 22 · 1/5 of 40 is 8 cm and 1/4 of 40 is 10 cm. Together that is 18 cm cut off, so 40 - 18 = 22 cm is left.
Worksheet · LightMySky