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Ratios and proportions

Grades 6 and 7 (Years 6 to 8 in England) · 16 questions · Common Core: 6.RP.A.1, 6.RP.A.3.A, 6.RP.A.3, 7.RP.A.2 · England: Y6 Ratio and proportion, KS3 Ratio, KS3 Ratio, proportion and rates of change

Name

Date

Score/ 16

  1. Question 1

    1:4 = 7:__

    Answer

  2. Question 2

    The ratio of adults to children at a show is 4:5. There are 10 more children than adults. How many people are there in total?

    Answer

  3. Question 3

    In a coding club, the ratio of beginners to experienced members is 4:7. There are 42 experienced members. How many members are there altogether?

    Answer

  4. Question 4

    A swimmer completes 7 lengths in 21 minutes. At the same pace, how many minutes for 35 lengths?

    Answer

  5. Question 5

    Ava and Kofi share $84 in the ratio 5:2. How much does Ava get? (Type the number only.)

    Answer

  6. Question 6

    The ratio of goals to missed shots is 3:7. There are 24 goals. How many missed shots are there?

    Answer

  7. Question 7

    Solve: 4 / 5 = 52 / n

    n =

  8. Question 8

    Paint is mixed blue to yellow in the ratio 4:9. There is 40 litres more yellow than blue. How much blue is there, in litres?

    Answer

  9. Question 9

    On a school trip, 1 euro buys 1.25 Swiss francs. How many francs do you get for 280 euros?

    Answer

  10. Question 10

    In a group there are 5 apples and 2 pears. Write the ratio of pears to apples in simplest form. Type it like 3:2.

    0123452pears5apples

    Answer

  11. Question 11

    Are the ratios 3:4 and 12:17 equivalent?

    • A. Yes
    • B. No
  12. Question 12

    Simplify the ratio 12:6. Type it like 3:2.

    Answer

  13. Question 13

    Solve: 3 / 8 = 60 / y

    y =

  14. Question 14

    A juice recipe uses 4 cups of mango to 3 cups of water. Noah uses 12 cups of mango and 9 cups of water. Will it taste the same?

    • A. Yes, same ratio
    • B. No, different ratio
  15. Question 15

    Which ratio is equivalent to 3:6?

    • A. 18:9
    • B. 9:9
    • C. 9:18
    • D. 6:9
  16. Question 16

    Solve: x / 12 = 6 / 2

    x =

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Answer key: Ratios and proportions

  1. 1. 28

  2. 2. 90

  3. 3. 66

  4. 4. 105

  5. 5. 60

  6. 6. 56

  7. 7. n = 65

  8. 8. 32

  9. 9. 350

  10. 10. 2:5

  11. 11. B. No

  12. 12. 2:1

  13. 13. y = 160

  14. 14. A. Yes, same ratio

  15. 15. C. 9:18

  16. 16. x = 36