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MathsAges 13-15

Sharing in a ratio

Divide a total quantity into proportional parts using a given two-part ratio. Review suitability for your learners before teaching.

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Worksheet StudioPractice pack · Ages 13-15

Sharing in a ratio

Take your time. Show your thinking.

  1. 1. Share 75 in the ratio 1:4. What is the larger share?

    75 · 1 · 4 · Sharing in a ratio
  2. 2. Share 33 in the ratio 1:2. What is the larger share?

    33 · 1 · 2 · Sharing in a ratio
  3. 3. Share 28 in the ratio 3:4. What is the larger share?

    28 · 3 · 4 · Sharing in a ratio
  4. 4. Share 40 in the ratio 1:3. What is the larger share?

    40 · 1 · 3 · Sharing in a ratio
  5. 5. Share 42 in the ratio 3:4. What is the larger share?

    42 · 3 · 4 · Sharing in a ratio
  6. 6. Share 70 in the ratio 1:4. What is the larger share?

    70 · 1 · 4 · Sharing in a ratio
  7. 7. Share 48 in the ratio 3:5. What is the larger share?

    48 · 3 · 5 · Sharing in a ratio
  8. 8. Share 60 in the ratio 2:3. What is the larger share?

    60 · 2 · 3 · Sharing in a ratio
  9. 9. Share 15 in the ratio 1:2. What is the larger share?

    15 · 1 · 2 · Sharing in a ratio
  10. 10. Share 55 in the ratio 1:4. What is the larger share?

    55 · 1 · 4 · Sharing in a ratio
  11. 11. Share 28 in the ratio 1:3. What is the larger share?

    28 · 1 · 3 · Sharing in a ratio
  12. 12. Share 56 in the ratio 1:3. What is the larger share?

    56 · 1 · 3 · Sharing in a ratio
12 questions · Seed 47 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 13-15

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. Share 75 in the ratio 1:4. What is the larger share?

    60

    Total parts = 1 + 4 = 5. One part = 75 ÷ 5 = 15. Larger share = 4 × 15 = 60.

  2. 2. Share 33 in the ratio 1:2. What is the larger share?

    22

    Total parts = 1 + 2 = 3. One part = 33 ÷ 3 = 11. Larger share = 2 × 11 = 22.

  3. 3. Share 28 in the ratio 3:4. What is the larger share?

    16

    Total parts = 3 + 4 = 7. One part = 28 ÷ 7 = 4. Larger share = 4 × 4 = 16.

  4. 4. Share 40 in the ratio 1:3. What is the larger share?

    30

    Total parts = 1 + 3 = 4. One part = 40 ÷ 4 = 10. Larger share = 3 × 10 = 30.

  5. 5. Share 42 in the ratio 3:4. What is the larger share?

    24

    Total parts = 3 + 4 = 7. One part = 42 ÷ 7 = 6. Larger share = 4 × 6 = 24.

  6. 6. Share 70 in the ratio 1:4. What is the larger share?

    56

    Total parts = 1 + 4 = 5. One part = 70 ÷ 5 = 14. Larger share = 4 × 14 = 56.

  7. 7. Share 48 in the ratio 3:5. What is the larger share?

    30

    Total parts = 3 + 5 = 8. One part = 48 ÷ 8 = 6. Larger share = 5 × 6 = 30.

  8. 8. Share 60 in the ratio 2:3. What is the larger share?

    36

    Total parts = 2 + 3 = 5. One part = 60 ÷ 5 = 12. Larger share = 3 × 12 = 36.

  9. 9. Share 15 in the ratio 1:2. What is the larger share?

    10

    Total parts = 1 + 2 = 3. One part = 15 ÷ 3 = 5. Larger share = 2 × 5 = 10.

  10. 10. Share 55 in the ratio 1:4. What is the larger share?

    44

    Total parts = 1 + 4 = 5. One part = 55 ÷ 5 = 11. Larger share = 4 × 11 = 44.

  11. 11. Share 28 in the ratio 1:3. What is the larger share?

    21

    Total parts = 1 + 3 = 4. One part = 28 ÷ 4 = 7. Larger share = 3 × 7 = 21.

  12. 12. Share 56 in the ratio 1:3. What is the larger share?

    42

    Total parts = 1 + 3 = 4. One part = 56 ÷ 4 = 14. Larger share = 3 × 14 = 42.

12 questions · Seed 47 · Age guidance, not curriculum certification