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

    105 · 2 · 5 · Sharing in a ratio

  2. 2. Share 60 in the ratio 3:7. What is the larger share?

    60 · 3 · 7 · Sharing in a ratio

  3. 3. Share 14 in the ratio 3:4. What is the larger share?

    14 · 3 · 4 · Sharing in a ratio

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

    120 · 3 · 7 · Sharing in a ratio

  5. 5. Share 50 in the ratio 3:7. What is the larger share?

    50 · 3 · 7 · Sharing in a ratio

  6. 6. Share 32 in the ratio 1:3. What is the larger share?

    32 · 1 · 3 · Sharing in a ratio

  7. 7. Share 60 in the ratio 1:4. What is the larger share?

    60 · 1 · 4 · Sharing in a ratio

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

    70 · 1 · 4 · Sharing in a ratio

  9. 9. Share 130 in the ratio 3:7. What is the larger share?

    130 · 3 · 7 · Sharing in a ratio

  10. 10. Share 70 in the ratio 3:4. What is the larger share?

    70 · 3 · 4 · Sharing in a ratio

  11. 11. Share 25 in the ratio 2:3. What is the larger share?

    25 · 2 · 3 · Sharing in a ratio

  12. 12. Share 56 in the ratio 2:5. What is the larger share?

    56 · 2 · 5 · Sharing in a ratio
12 questions · Seed 56 · 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 105 in the ratio 2:5. What is the larger share?

    75

    Total parts = 2 + 5 = 7. One part = 105 ÷ 7 = 15. Larger share = 5 × 15 = 75.

  2. 2. Share 60 in the ratio 3:7. What is the larger share?

    42

    Total parts = 3 + 7 = 10. One part = 60 ÷ 10 = 6. Larger share = 7 × 6 = 42.

  3. 3. Share 14 in the ratio 3:4. What is the larger share?

    8

    Total parts = 3 + 4 = 7. One part = 14 ÷ 7 = 2. Larger share = 4 × 2 = 8.

  4. 4. 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.

  5. 5. Share 50 in the ratio 3:7. What is the larger share?

    35

    Total parts = 3 + 7 = 10. One part = 50 ÷ 10 = 5. Larger share = 7 × 5 = 35.

  6. 6. Share 32 in the ratio 1:3. What is the larger share?

    24

    Total parts = 1 + 3 = 4. One part = 32 ÷ 4 = 8. Larger share = 3 × 8 = 24.

  7. 7. Share 60 in the ratio 1:4. What is the larger share?

    48

    Total parts = 1 + 4 = 5. One part = 60 ÷ 5 = 12. Larger share = 4 × 12 = 48.

  8. 8. 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.

  9. 9. Share 130 in the ratio 3:7. What is the larger share?

    91

    Total parts = 3 + 7 = 10. One part = 130 ÷ 10 = 13. Larger share = 7 × 13 = 91.

  10. 10. Share 70 in the ratio 3:4. What is the larger share?

    40

    Total parts = 3 + 4 = 7. One part = 70 ÷ 7 = 10. Larger share = 4 × 10 = 40.

  11. 11. Share 25 in the ratio 2:3. What is the larger share?

    15

    Total parts = 2 + 3 = 5. One part = 25 ÷ 5 = 5. Larger share = 3 × 5 = 15.

  12. 12. Share 56 in the ratio 2:5. What is the larger share?

    40

    Total parts = 2 + 5 = 7. One part = 56 ÷ 7 = 8. Larger share = 5 × 8 = 40.

12 questions · Seed 56 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Sharing in a ratio

Take your time. Show your thinking.

  1. 1. Share 105 in the ratio 2:5. What is the larger share?

    105 · 2 · 5 · Sharing in a ratio

  2. 2. Share 60 in the ratio 3:7. What is the larger share?

    60 · 3 · 7 · Sharing in a ratio

  3. 3. Share 14 in the ratio 3:4. What is the larger share?

    14 · 3 · 4 · Sharing in a ratio

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

    120 · 3 · 7 · Sharing in a ratio

  5. 5. Share 50 in the ratio 3:7. What is the larger share?

    50 · 3 · 7 · Sharing in a ratio

  6. 6. Share 32 in the ratio 1:3. What is the larger share?

    32 · 1 · 3 · Sharing in a ratio

  7. 7. Share 60 in the ratio 1:4. What is the larger share?

    60 · 1 · 4 · Sharing in a ratio

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

    70 · 1 · 4 · Sharing in a ratio

  9. 9. Share 130 in the ratio 3:7. What is the larger share?

    130 · 3 · 7 · Sharing in a ratio

  10. 10. Share 70 in the ratio 3:4. What is the larger share?

    70 · 3 · 4 · Sharing in a ratio

  11. 11. Share 25 in the ratio 2:3. What is the larger share?

    25 · 2 · 3 · Sharing in a ratio

  12. 12. Share 56 in the ratio 2:5. What is the larger share?

    56 · 2 · 5 · Sharing in a ratio
12 questions · Seed 56 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. Share 105 in the ratio 2:5. What is the larger share?

    75

    Total parts = 2 + 5 = 7. One part = 105 ÷ 7 = 15. Larger share = 5 × 15 = 75.

  2. 2. Share 60 in the ratio 3:7. What is the larger share?

    42

    Total parts = 3 + 7 = 10. One part = 60 ÷ 10 = 6. Larger share = 7 × 6 = 42.

  3. 3. Share 14 in the ratio 3:4. What is the larger share?

    8

    Total parts = 3 + 4 = 7. One part = 14 ÷ 7 = 2. Larger share = 4 × 2 = 8.

  4. 4. 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.

  5. 5. Share 50 in the ratio 3:7. What is the larger share?

    35

    Total parts = 3 + 7 = 10. One part = 50 ÷ 10 = 5. Larger share = 7 × 5 = 35.

  6. 6. Share 32 in the ratio 1:3. What is the larger share?

    24

    Total parts = 1 + 3 = 4. One part = 32 ÷ 4 = 8. Larger share = 3 × 8 = 24.

  7. 7. Share 60 in the ratio 1:4. What is the larger share?

    48

    Total parts = 1 + 4 = 5. One part = 60 ÷ 5 = 12. Larger share = 4 × 12 = 48.

  8. 8. 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.

  9. 9. Share 130 in the ratio 3:7. What is the larger share?

    91

    Total parts = 3 + 7 = 10. One part = 130 ÷ 10 = 13. Larger share = 7 × 13 = 91.

  10. 10. Share 70 in the ratio 3:4. What is the larger share?

    40

    Total parts = 3 + 4 = 7. One part = 70 ÷ 7 = 10. Larger share = 4 × 10 = 40.

  11. 11. Share 25 in the ratio 2:3. What is the larger share?

    15

    Total parts = 2 + 3 = 5. One part = 25 ÷ 5 = 5. Larger share = 3 × 5 = 15.

  12. 12. Share 56 in the ratio 2:5. What is the larger share?

    40

    Total parts = 2 + 5 = 7. One part = 56 ÷ 7 = 8. Larger share = 5 × 8 = 40.

12 questions · Seed 56 · Age guidance, not curriculum certification