Unequal sharing and grouping · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Sharing in a ratio, as fractions

Mathematics · Ratio & Proportion · ages 10-11
Name ______________________   Date ____________

  1. Share 40 stickers in the ratio 2:3. How many does the 3-share child get?

    Answer: ______________

  2. Share 40 stickers between two children in the ratio 2:3. How many does the 2-share child get?

    • 16
    • 20
    • 24
    • 12

  3. A ratio of 3:5 splits an amount into how many equal parts in total?

    • 3
    • 5
    • 8

  4. In a ratio of 3:5, one person's share is 3/5 of the whole amount.

    Circle one:   True   False

  5. Share 45 marbles between Mia and Leo in the ratio 5:4 (Mia first). How many does Mia get?

    Answer: ______________

  6. Two friends share £24 in the ratio 1:2. What fraction of the money does the friend with the larger share get?

    • 1/3
    • 1/2
    • 2/3

  7. A bakery sells croissants, bagels and muffins. They sell twice as many croissants as bagels, and three times as many bagels as muffins. In one hour they sell 60 items in total. How many croissants do they sell?

    • 18
    • 24
    • 36
    • 30

  8. Ravi shares 60 stickers 2:3 as 30 each, saying equal shares are fairest. Is Ravi right?

    Circle one:   True   False

  9. Ruby, Max and Ella share 40 counters. Ruby gets twice as many as Max, and Max gets three times as many as Ella. How many counters does Ella get?

    Answer: ______________

  10. In a 3:4 share of 35 marbles, how many does the 3-share person get?

    • 15
    • 20
    • 10
    • 25
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Answer key

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

Sharing in a ratio, as fractions W1-mt_FnUJMXPUZX-s1

  1. 24 · 5 parts share 40 (8 each), so 3 parts give 24 stickers.
  2. 16 · 5 parts share 40 (8 each), so 2 parts give 16 stickers.
  3. 8 · Add the ratio numbers together: 3 + 5 = 8 equal parts in total.
  4. False · The total parts are 3 + 5 = 8, so the correct share is 3/8, not 3/5.
  5. 25 · 9 parts share 45 (5 each), so Mia's 5 parts give 25 marbles.
  6. 2/3 · Total parts = 1 + 2 = 3, and the larger share is 2 of those parts, which is 2/3.
  7. 36 · The chain means 6:3:1, ten parts share 60 (6 each), so croissants get 6 x 6 = 36.
  8. False · Ravi is wrong: the ratio demands 24 and 36, not equal halves.
  9. 4 · The ratio Ella to Max to Ruby is 1:3:6, so total parts = 10 and one part is 40 divided by 10, which is 4. Ella has 1 part.
  10. 15 · 7 parts share 35 (5 each), so 3 parts give 15 marbles.
Worksheet · LightMySky