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7th grade ratio and proportion

7th grade (Year 8 in England) · 16 questions · Common Core: 6.RP.A.3, 7.RP.A.2, 7.RP.A.3, 7.G.A.1 · England: Y6 Ratio and proportion, KS3 Ratio, GCSE Foundation Ratio

Name

Date

Score/ 16

  1. Question 1

    Juice and water are mixed in the ratio 3:4. What fraction of the drink is juice? Give a fraction in simplest form.

    Answer(as a fraction)

  2. Question 2

    The line passes through (0, 0) and (3, 12). What is the constant of proportionality?

    xy12345624681012141618200y = 4x(3, 12)

    Answer

  3. Question 3

    On a school trip, 1 euro buys 0.8 Swiss francs. How many francs do you get for 190 euros?

    Answer

  4. Question 4

    A recipe uses 2/3 cup of oats for 1/3 of a batch. How many cups of oats are needed for a whole batch?

    Answer(as a fraction)

  5. Question 5

    A 20 m long room is drawn 10 cm long on a plan. The scale is 1 : n. What is n?

    Answer

  6. Question 6

    Solve: 9 / 6 = 90 / n

    n =

  7. Question 7

    A car uses fuel in proportion to distance: f = 0.08d (litres per km). How many litres for 140 km?

    Answer

  8. Question 8

    Each streaming song earns 13 points. Write an equation for y in terms of s. Type only the right-hand side (y = …).

    Answer

  9. Question 9

    Sofia enlarges a scale drawing so every length is 5 times as long. Sofia thinks the area will be 5 times as big. How many times as big is the area really?

    Answer

  10. Question 10

    A pancake recipe for 4 people uses 200 g of flour. How much flour is needed for 12 people, in grams?

    Answer

  11. Question 11

    Concrete is made from cement, sand and gravel in the ratio 1:5:4. A builder uses 135 kg of sand. How many kg of concrete mix is that altogether?

    Answer

  12. Question 12

    Solve: x / 45 = 8 / 9

    x =

  13. Question 13

    4/5 of a choir are sopranos and the rest are altos. What is the ratio of sopranos to altos, in simplest form? Type it like 2:3.

    Answer

  14. Question 14

    The ratio of adults to children at a show is 2:7. There are 35 more children than adults. How many people are there in total?

    Answer

  15. Question 15

    A model uses 1 cm for every 10 m. A real bridge is 20 m long. How long is it on the model, in cm?

    Answer

  16. Question 16

    Solve: 3 / 13 = 21 / y

    y =

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Answer key: 7th grade ratio and proportion

  1. 1. 3/7

  2. 2. 4

  3. 3. 152

  4. 4. 2

  5. 5. 200

  6. 6. n = 60

  7. 7. 11.2

  8. 8. 13s

  9. 9. 25

  10. 10. 600

  11. 11. 270

  12. 12. x = 40

  13. 13. 4:1

  14. 14. 63

  15. 15. 2

  16. 16. y = 91