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Ignition Learning — Activity Sheet

Ratio & sharing

Mathematics · Year 7

Name: ______________________Date: ____________

A ratio compares two or more quantities, written like 2:3. Ratios can be simplified the same way fractions can — dividing both sides by their highest common factor. To share an amount in a given ratio, add the ratio parts together to find the total number of "shares", then work out what one share is worth.

Example

You and a friend share $40 in the ratio 3:1 (you get 3 parts, they get 1 part). That's 4 parts total, so each part is $40 ÷ 4 = $10. You get 3 × $10 = $30, your friend gets 1 × $10 = $10.

Key terms

Ratio:
A comparison of two or more quantities.
Simplify:
Reducing a ratio (or fraction) to its smallest whole-number form.

Questions

  1. 1. A ratio compares:

    • One quantity only
    • Two or more quantities
    • A percentage only
    • A single fraction

  2. 2. Simplify the ratio 4:8.

    • 1:2
    • 2:1
    • 4:8
    • 2:4

  3. 3. A recipe uses 2 cups flour to 1 cup sugar. What is the ratio of flour to sugar?

    • 1:2
    • 2:1
    • 1:1
    • 3:1

  4. 4. Simplify the ratio 6:9.

    • 2:3
    • 3:2
    • 1:3
    • 6:9

  5. 5. A ratio of 1:1 means the two amounts are:

    • Equal
    • Double one another
    • Unrelated
    • Always $1 each

  6. 6. A ratio of 3:1 means for every 3 of one thing, there is:

    • 1 of the other
    • 3 of the other
    • 4 of the other
    • 0 of the other

  7. 7. Simplify the ratio 10:5.

    • 5:10
    • 2:1
    • 1:2
    • 10:5

  8. 8. Share $40 between two people in the ratio 1:1. How much does each get?

    • $10 each
    • $20 each
    • $30 each
    • $40 each

  9. 9. Share $40 between two people in the ratio 3:1. How much does the person with 3 parts get?

    • $10
    • $20
    • $30
    • $40

  10. 10. A ratio of 2:3 has how many total parts?

    • 2
    • 3
    • 5
    • 6

  11. 11. Share $50 in the ratio 2:3. What is one share worth?

    • $5
    • $10
    • $15
    • $25

  12. 12. A paint mix uses blue and white in the ratio 1:4. Out of 10 litres total, how much is blue?

    • 1 litre
    • 2 litres
    • 4 litres
    • 8 litres

  13. 13. Share $60 between two people in the ratio 1:2. How much does the smaller share get?

    • $10
    • $20
    • $30
    • $40

  14. 14. Two classes have 20 and 30 students. What is the simplified ratio of the first class to the second?

    • 2:3
    • 20:30
    • 3:2
    • 1:2

  15. 15. Share $90 in the ratio 2:3:4. How much does the largest share get?

    • $20
    • $30
    • $40
    • $50

  16. 16. A recipe for 4 people uses 2 cups rice. How many cups of rice for 10 people, keeping the same ratio?

    • 4 cups
    • 5 cups
    • 6 cups
    • 8 cups

  17. 17. Two amounts are in the ratio 5:2, and the larger amount is $75. What is the smaller amount?

    • $15
    • $20
    • $25
    • $30

  18. 18. Share $120 in the ratio 1:2:3. How much does the middle share get?

    • $20
    • $40
    • $60
    • $80

  19. 19. A model car is built at a scale ratio of 1:20. If the real car is 4m long, how long is the model?

    • 0.2m
    • 0.4m
    • 2m
    • 20m

  20. 20. A fruit drink mixes juice and water in the ratio 2:5. How much juice is in 700mL of drink?

    • 100mL
    • 150mL
    • 200mL
    • 250mL

  21. 21. Two siblings split chores in the ratio 3:5 based on age. If there are 40 chores total, how many does the older sibling (5 parts) do?

    • 15
    • 20
    • 25
    • 30

Answer key (parent copy)

  1. 1. Two or more quantities
  2. 2. 1:2
  3. 3. 2:1
  4. 4. 2:3
  5. 5. Equal
  6. 6. 1 of the other
  7. 7. 2:1
  8. 8. $20 each
  9. 9. $30
  10. 10. 5
  11. 11. $10
  12. 12. 2 litres
  13. 13. $20
  14. 14. 2:3
  15. 15. $40
  16. 16. 5 cups
  17. 17. $30
  18. 18. $40
  19. 19. 0.2m
  20. 20. 200mL
  21. 21. 25