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Celeste International School

Grade 5 · Worksheet

Ratio and proportion

Direct proportion

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

    When two quantities are in direct proportion, if one increases the other...

    1. Aincreases in the same ratio
    2. Bstays exactly the same
    3. Cdecreases in the same ratio
    4. Dchanges in no set way
  2. 2.

    A sauce recipe for 6 people uses 300 g of tomatoes. How many grams of tomatoes are needed for 12 people?

    g
  3. 3.

    Magda buys 1 pizza for every 3 people. She is feeding 12 people. How many pizzas does she buy?

  4. 4.

    The same ice cream recipe for 8 people uses 500 ml of milk. How much milk is needed for 4 people?

    ml
  5. 5.

    A model car is one-tenth the size of the real car. The model is 40 cm long. How long is the real car?

    cm
  6. 6.

    A scale of 1:24 means the real car is 24 times as long as the model. A model is 170 mm long. How long is the real car?

    mm
  7. 7.

    Rectangle A is 5 cm long and 2 cm wide. What is its perimeter?

    cm
  8. 8.

    Rectangle A is 5 cm by 2 cm. Rectangle D has every side six times as long, so it is 30 cm by 12 cm. What is the perimeter of rectangle D?

    cm
  9. 9.

    To get from 4 people to 12 people, what do you multiply by?

    1. A3
    2. B2
    3. C4
    4. D8
  10. 10.

    If 3 melons cost $2, then 6 melons cost $4.

    True False
  11. 11.

    Kate earns $20 for each hour she works. How much does she earn for 3 hours?

    1. A$60
    2. B$40
    3. C$23
    4. D$80
  12. 12.

    An ice cream recipe for 8 people uses 1 kg (1000 g) of raspberries. How many grams of raspberries are needed for 4 people?

    g
  13. 13.

    1 pizza feeds 3 people. How many pizzas are needed for 9 people?

  14. 14.

    Rectangle A (5 cm by 2 cm) is enlarged to B (×2), C (×4) and D (×6). Their perimeters are 14 cm, 28 cm, 56 cm and 84 cm. Put the rectangles in order of perimeter, smallest first.

    Write the order (smallest perimeter to largest) in the boxes:

    • ?Rectangle C
    • ?Rectangle A
    • ?Rectangle D
    • ?Rectangle B
  15. 15.

    There are 4 red for every 9 blue. What is the ratio of red to blue?

    1. A4 : 9
    2. B4 : 13
    3. C9 : 4
  16. 16.

    There are 8 circles for every 7 squares. What is the ratio of circles to squares?

    1. A7 : 8
    2. B8 : 15
    3. C8 : 7
  17. 17.

    There are 7 red for every 8 blue. What is the ratio of red to blue?

    1. A7 : 8
    2. B7 : 15
    3. C8 : 7
  18. 18.

    There are 6 apples for every 4 oranges. What is the ratio of apples to oranges?

    1. A4 : 6
    2. B6 : 10
    3. C6 : 4
  19. 19.

    There are 6 red for every 5 blue. What is the ratio of red to blue?

    1. A5 : 6
    2. B6 : 11
    3. C6 : 5
  20. 20.

    There are 7 apples for every 4 oranges. What is the ratio of apples to oranges?

    1. A7 : 4
    2. B4 : 7
    3. C7 : 11
Celeste International School

Answer key

Ratio and proportion — Direct proportion

  1. 1.A. increases in the same ratio
  2. 2.600 g
  3. 3.4
  4. 4.250 ml
  5. 5.400 cm
  6. 6.4080 mm
  7. 7.14 cm
  8. 8.84 cm
  9. 9.A. 3
  10. 10.True
  11. 11.A. $60
  12. 12.500 g
  13. 13.3
  14. 14.Rectangle A, Rectangle B, Rectangle C, Rectangle D
  15. 15.A. 4 : 9
  16. 16.C. 8 : 7
  17. 17.A. 7 : 8
  18. 18.C. 6 : 4
  19. 19.C. 6 : 5
  20. 20.A. 7 : 4