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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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Age band:Ages 10-12Ages 13-15

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Worksheet StudioPractice pack · Ages 13-15

Sharing in a ratio

Take your time. Show your thinking.

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

    33 · 1 · 2 · Sharing in a ratio

  2. 2. Share 72 in the ratio 3:5. What is the larger share?

    72 · 3 · 5 · Sharing in a ratio

  3. 3. Share 16 in the ratio 3:5. What is the larger share?

    16 · 3 · 5 · Sharing in a ratio

  4. 4. Share 27 in the ratio 1:2. What is the larger share?

    27 · 1 · 2 · Sharing in a ratio

  5. 5. Share 98 in the ratio 2:5. What is the larger share?

    98 · 2 · 5 · Sharing in a ratio

  6. 6. Share 98 in the ratio 3:4. What is the larger share?

    98 · 3 · 4 · Sharing in a ratio

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

    75 · 1 · 4 · Sharing in a ratio

  8. 8. Share 120 in the ratio 3:7. What is the larger share?

    120 · 3 · 7 · Sharing in a ratio

  9. 9. Share 25 in the ratio 1:4. What is the larger share?

    25 · 1 · 4 · Sharing in a ratio

  10. 10. Share 40 in the ratio 3:5. What is the larger share?

    40 · 3 · 5 · Sharing in a ratio

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

    48 · 3 · 5 · Sharing in a ratio

  12. 12. Share 65 in the ratio 2:3. What is the larger share?

    65 · 2 · 3 · Sharing in a ratio
12 questions · Seed 44 · 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 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.

  2. 2. Share 72 in the ratio 3:5. What is the larger share?

    45

    Total parts = 3 + 5 = 8. One part = 72 ÷ 8 = 9. Larger share = 5 × 9 = 45.

  3. 3. Share 16 in the ratio 3:5. What is the larger share?

    10

    Total parts = 3 + 5 = 8. One part = 16 ÷ 8 = 2. Larger share = 5 × 2 = 10.

  4. 4. Share 27 in the ratio 1:2. What is the larger share?

    18

    Total parts = 1 + 2 = 3. One part = 27 ÷ 3 = 9. Larger share = 2 × 9 = 18.

  5. 5. Share 98 in the ratio 2:5. What is the larger share?

    70

    Total parts = 2 + 5 = 7. One part = 98 ÷ 7 = 14. Larger share = 5 × 14 = 70.

  6. 6. Share 98 in the ratio 3:4. What is the larger share?

    56

    Total parts = 3 + 4 = 7. One part = 98 ÷ 7 = 14. Larger share = 4 × 14 = 56.

  7. 7. 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.

  8. 8. Share 120 in the ratio 3:7. What is the larger share?

    84

    Total parts = 3 + 7 = 10. One part = 120 ÷ 10 = 12. Larger share = 7 × 12 = 84.

  9. 9. Share 25 in the ratio 1:4. What is the larger share?

    20

    Total parts = 1 + 4 = 5. One part = 25 ÷ 5 = 5. Larger share = 4 × 5 = 20.

  10. 10. Share 40 in the ratio 3:5. What is the larger share?

    25

    Total parts = 3 + 5 = 8. One part = 40 ÷ 8 = 5. Larger share = 5 × 5 = 25.

  11. 11. 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.

  12. 12. Share 65 in the ratio 2:3. What is the larger share?

    39

    Total parts = 2 + 3 = 5. One part = 65 ÷ 5 = 13. Larger share = 3 × 13 = 39.

12 questions · Seed 44 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Sharing in a ratio

Take your time. Show your thinking.

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

    33 · 1 · 2 · Sharing in a ratio

  2. 2. Share 72 in the ratio 3:5. What is the larger share?

    72 · 3 · 5 · Sharing in a ratio

  3. 3. Share 16 in the ratio 3:5. What is the larger share?

    16 · 3 · 5 · Sharing in a ratio

  4. 4. Share 27 in the ratio 1:2. What is the larger share?

    27 · 1 · 2 · Sharing in a ratio

  5. 5. Share 98 in the ratio 2:5. What is the larger share?

    98 · 2 · 5 · Sharing in a ratio

  6. 6. Share 98 in the ratio 3:4. What is the larger share?

    98 · 3 · 4 · Sharing in a ratio

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

    75 · 1 · 4 · Sharing in a ratio

  8. 8. Share 120 in the ratio 3:7. What is the larger share?

    120 · 3 · 7 · Sharing in a ratio

  9. 9. Share 25 in the ratio 1:4. What is the larger share?

    25 · 1 · 4 · Sharing in a ratio

  10. 10. Share 40 in the ratio 3:5. What is the larger share?

    40 · 3 · 5 · Sharing in a ratio

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

    48 · 3 · 5 · Sharing in a ratio

  12. 12. Share 65 in the ratio 2:3. What is the larger share?

    65 · 2 · 3 · Sharing in a ratio
12 questions · Seed 44 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. 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.

  2. 2. Share 72 in the ratio 3:5. What is the larger share?

    45

    Total parts = 3 + 5 = 8. One part = 72 ÷ 8 = 9. Larger share = 5 × 9 = 45.

  3. 3. Share 16 in the ratio 3:5. What is the larger share?

    10

    Total parts = 3 + 5 = 8. One part = 16 ÷ 8 = 2. Larger share = 5 × 2 = 10.

  4. 4. Share 27 in the ratio 1:2. What is the larger share?

    18

    Total parts = 1 + 2 = 3. One part = 27 ÷ 3 = 9. Larger share = 2 × 9 = 18.

  5. 5. Share 98 in the ratio 2:5. What is the larger share?

    70

    Total parts = 2 + 5 = 7. One part = 98 ÷ 7 = 14. Larger share = 5 × 14 = 70.

  6. 6. Share 98 in the ratio 3:4. What is the larger share?

    56

    Total parts = 3 + 4 = 7. One part = 98 ÷ 7 = 14. Larger share = 4 × 14 = 56.

  7. 7. 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.

  8. 8. Share 120 in the ratio 3:7. What is the larger share?

    84

    Total parts = 3 + 7 = 10. One part = 120 ÷ 10 = 12. Larger share = 7 × 12 = 84.

  9. 9. Share 25 in the ratio 1:4. What is the larger share?

    20

    Total parts = 1 + 4 = 5. One part = 25 ÷ 5 = 5. Larger share = 4 × 5 = 20.

  10. 10. Share 40 in the ratio 3:5. What is the larger share?

    25

    Total parts = 3 + 5 = 8. One part = 40 ÷ 8 = 5. Larger share = 5 × 5 = 25.

  11. 11. 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.

  12. 12. Share 65 in the ratio 2:3. What is the larger share?

    39

    Total parts = 2 + 3 = 5. One part = 65 ÷ 5 = 13. Larger share = 3 × 13 = 39.

12 questions · Seed 44 · Age guidance, not curriculum certification