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. An amount is split into 5 equal parts. If someone has 2 of those parts, what fraction of the amount do they have?

    • 2/5
    • 2/3
    • 5/2

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

    • 3
    • 5
    • 8

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

    Circle one:   True   False

  4. Using the same sharing of 32 stickers in the ratio 3:5, how many stickers does Ben get?

    Answer: ______________

  5. Ava and Ben share 32 stickers in the ratio 3:5. How many stickers does Ava 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. Leo says a ratio of 2:3 means one person gets 2/3 of the total, because that's the ratio. What mistake did Leo make?

    • He forgot to add the ratio numbers to find the total parts first
    • He used the ratio numbers in the wrong order
    • He should have subtracted the numbers instead of adding them

  8. 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: ______________

LightMySky · lightmysky.comW1-mt_FnUJMXPUZX-s1

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. 2/5 · The share is 2 out of the 5 total parts, so it is written as 2/5.
  2. 8 · Add the ratio numbers together: 3 + 5 = 8 equal parts in total.
  3. False · The total parts are 3 + 5 = 8, so the correct share is 3/8, not 3/5.
  4. 20 · Ben has 5 parts, and one part is 4 stickers: 5 times 4 is 20 stickers.
  5. 12 · Total parts = 8, so one part is 32 divided by 8, which is 4. Ava has 3 parts: 3 times 4 is 12 stickers.
  6. 2/3 · Total parts = 1 + 2 = 3, and the larger share is 2 of those parts, which is 2/3.
  7. He forgot to add the ratio numbers to find the total parts first · Leo needs to add 2 + 3 = 5 first; the correct share is 2/5, not 2/3.
  8. 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.
Worksheet · LightMySky