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Celeste International School

Grade 6 · Worksheet

Ratio and proportion

Sharing in a ratio

Name: ______________________________Date: ______________Score: ______ / 20
  1. 1.

    Share $108 in the ratio 1 : 5. How much is the LARGER share?

    $
  2. 2.

    $77 is shared in the ratio 5 : 2. What are the two shares?

    1. A$55 and $22
    2. B$22 and $55
    3. C$11 and $66
  3. 3.

    A choir of 25 has girls : boys = 4 : 1. How many boys are there?

    boys
  4. 4.

    A prize is shared in the ratio 5 : 7. Sort each statement.

    Write each item’s group (True / False):

    • there are 12 parts altogether
    • the first share is 5/12 of the prize
    • the first share is 5/7 of the prize
    • you divide before you multiply
  5. 5.

    Share $128 in the ratio 5 : 3. How much is the LARGER share?

    $
  6. 6.

    A choir of 24 has girls : boys = 5 : 3. How many boys are there?

    boys
  7. 7.

    If $96 is shared in the ratio 6 : 2, the two shares add up to $96.

    True False
  8. 8.

    A prize is shared in the ratio 3 : 7. Sort each statement.

    Write each item’s group (True / False):

    • there are 10 parts altogether
    • the first share is 3/10 of the prize
    • the first share is 3/7 of the prize
    • you divide before you multiply
  9. 9.

    Share $24 in the ratio 3 : 5. What is the value of ONE part?

    $
  10. 10.

    $216 is shared in the ratio 4 : 5. What are the two shares?

    1. A$120 and $96
    2. B$24 and $192
    3. C$96 and $120
  11. 11.

    Sharing $35 in the ratio 11 : 44 gives the same shares as sharing it in the ratio 1 : 4.

    True False
  12. 12.

    Put the three steps for sharing $42 in the ratio 2 : 1 into order.

    Write the order (first step to last) in the boxes:

    • ?Multiply to find each share
    • ?Add the numbers in the ratio
    • ?Divide the amount by the total parts
  13. 13.

    Share $18 in the ratio 4 : 2. How much is the LARGER share?

    $
  14. 14.

    $84 is shared in the ratio 3 : 4. What are the two shares?

    1. A$36 and $48
    2. B$48 and $36
    3. C$12 and $72
  15. 15.

    A choir of 84 has girls : boys = 5 : 2. How many boys are there?

    boys
  16. 16.

    $72 is shared between two nieces in the ratio of their ages, 5 and 7. How much does the YOUNGER one get?

    $
  17. 17.

    Share $24 in the ratio 4 : 2. How much MORE does the first person get than the second?

    $
  18. 18.

    $110 is shared in the ratio 2 : 3. What are the two shares?

    1. A$66 and $44
    2. B$44 and $66
    3. C$22 and $88
  19. 19.

    A choir of 70 has girls : boys = 3 : 4. How many boys are there?

    boys
  20. 20.

    Put the three steps for sharing $72 in the ratio 2 : 1 into order.

    Write the order (first step to last) in the boxes:

    • ?Multiply to find each share
    • ?Add the numbers in the ratio
    • ?Divide the amount by the total parts
Celeste International School

Answer key

Ratio and proportion — Sharing in a ratio

  1. 1.90 $
  2. 2.A. $55 and $22
  3. 3.5 boys
  4. 4.there are 12 parts altogether = True; the first share is 5/12 of the prize = True; the first share is 5/7 of the prize = False; you divide before you multiply = True
  5. 5.80 $
  6. 6.9 boys
  7. 7.True
  8. 8.there are 10 parts altogether = True; the first share is 3/10 of the prize = True; the first share is 3/7 of the prize = False; you divide before you multiply = True
  9. 9.3 $
  10. 10.C. $96 and $120
  11. 11.True
  12. 12.Add the numbers in the ratio, Divide the amount by the total parts, Multiply to find each share
  13. 13.12 $
  14. 14.A. $36 and $48
  15. 15.24 boys
  16. 16.30 $
  17. 17.8 $
  18. 18.B. $44 and $66
  19. 19.40 boys
  20. 20.Add the numbers in the ratio, Divide the amount by the total parts, Multiply to find each share