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Common Core 7.RP.A.2 worksheet

7th grade (Year 8 in England) · 16 questions · Common Core: 7.RP.A.2, 7.RP.A.3, HSA.CED.A.2 · England: KS3 Ratio, GCSE Foundation Ratio, GCSE Higher Ratio

Name

Date

Score/ 16

  1. Question 1

    3 painters take 7 days to paint a school. How many days would 6 painters take, working at the same rate?

    Answer

  2. Question 2

    Solve: 7 / 6 = 28 / n

    n =

  3. Question 3

    Is this relationship proportional? x: 1, 4, 7 → y: 9, 36, 63

    • A. Yes, proportional
    • B. No, not proportional
  4. Question 4

    y is proportional to x, and y = 70 when x = 7. Find the constant of proportionality k in y = kx.

    xy123456789101020304050607080901000y = 10x(7, 70)

    Answer

  5. Question 5

    Chloe can type 12 words in 3 minutes. At the same rate, how many words in 13 minutes?

    Answer

  6. Question 6

    Solve: 7 / 5 = 133 / y

    y =

  7. Question 7

    Solve: x / 66 = 1 / 11

    x =

  8. Question 8

    y is inversely proportional to x. When x = 2, y = 24. Find y when x = 3.

    Answer

  9. Question 9

    3 painters take 8 days to paint a school. How many days would 2 painters take, working at the same rate?

    Answer

  10. Question 10

    Solve: 8 / 4 = 72 / n

    n =

  11. Question 11

    Is this relationship proportional? x: 2, 5, 8 → y: 8, 21, 32

    • A. Yes, proportional
    • B. No, not proportional
  12. Question 12

    y is proportional to x, and y = 36 when x = 3. Find the constant of proportionality k in y = kx.

    xy1234567891012243648607284961081200y = 12x(3, 36)

    Answer

  13. Question 13

    Zoe can type 49 words in 7 minutes. At the same rate, how many words in 15 minutes?

    Answer

  14. Question 14

    Solve: 10 / 12 = x / 6

    x =

  15. Question 15

    Solve: x / 15 = 10 / 5

    x =

  16. Question 16

    y is directly proportional to x. When x = 1, y = 12. Find y when x = 4.

    Answer

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Answer key: Common Core 7.RP.A.2 worksheet

  1. 1. 3.5

  2. 2. n = 24

  3. 3. A. Yes, proportional

  4. 4. 10

  5. 5. 52

  6. 6. y = 95

  7. 7. x = 6

  8. 8. 16

  9. 9. 12

  10. 10. n = 36

  11. 11. B. No, not proportional

  12. 12. 12

  13. 13. 105

  14. 14. x = 5

  15. 15. x = 30

  16. 16. 48

7.RP.A.2 Worksheet: Proportional relationships | Eurekami