Dividing Quantities by Ratio · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Dividing Quantities by Ratio

Mathematics · Ratio & Proportion · ages 11-13
Name ______________________   Date ____________

  1. How many parts are in the ratio 1:2:3?

    112233
    • 3
    • 6
    • 5

  2. 24 sweets are shared as 10 and 14. What is this sharing as a simplified ratio?

    • 12:12
    • 5:7
    • 7:5
    • 3:4

  3. Share £60 between two people in the ratio 2:3. What is the value of one part in pounds?

    Answer: ______________

  4. To share an amount in the ratio 3:5, what do you do first?

    • Multiply 3 and 5
    • Add 3 and 5 to get total parts
    • Subtract 3 from 5

  5. Divide 180 in the ratio 1:2:3. What is the middle share?

    • 30
    • 45
    • 60
    • 90

  6. A number is split into 10 and 14. Which ratio, in simplest form, shows this split?

    • 7:5
    • 10:14
    • 5:7

  7. Divide 180 in the ratio 1:2:3. What is the largest share?

    Answer: ______________

  8. Divide 180 in the ratio 1:2:3. What is the middle share?

    1 part12 parts23 parts3
    • 30
    • 60
    • 90

  9. Leo splits £50 in the ratio 2:3. He says the smaller share is 2/3 of the £50. What's his mistake?

    • He should compare the 2 parts to the 5 total parts, not to the 3
    • He should compare the 3 parts to the 5 total parts, not to the 2
    • £50 cannot be split in this ratio

  10. A recipe uses flour and sugar in the ratio 5:7. If it uses 350 g of sugar, how many grams of flour does it use?

    Answer: ______________

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Answer key

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

Dividing Quantities by Ratio W1-mt_nOCPx5qw0Z-s1

  1. 6 · Add all three numbers: 1 + 2 + 3 = 6 parts.
  2. 5:7 · 10 and 14 share a factor of 2, and dividing both by 2 gives 5:7.
  3. 12 · 5 parts share £60, so one part is £60 / 5 = £12.
  4. Add 3 and 5 to get total parts · Adding the ratio numbers gives the total number of equal parts to share the amount into.
  5. 60 · One part is 180 / 6 = 30, and the middle share is 2 parts: 60.
  6. 5:7 · Divide both numbers by their highest common factor, 2, to simplify 10:14 to 5:7.
  7. 90 · 6 parts share 180, so one part is 30, and 3 parts make 90.
  8. 60 · One part is 180 ÷ 6 = 30, so the middle share (2 parts) is 2 × 30 = 60.
  9. He should compare the 2 parts to the 5 total parts, not to the 3 · A share as a fraction of the whole always uses the total parts (5) on the bottom, so the smaller share is 2/5, not 2/3.
  10. 250 · One part is 350 / 7 = 50 g, and 5 parts of flour make 250 g.
Worksheet · LightMySky