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

    104 · 3 · 5 · Sharing in a ratio

  2. 2. Share 49 in the ratio 2:5. What is the larger share?

    49 · 2 · 5 · Sharing in a ratio

  3. 3. Share 70 in the ratio 2:3. What is the larger share?

    70 · 2 · 3 · Sharing in a ratio

  4. 4. Share 56 in the ratio 3:4. What is the larger share?

    56 · 3 · 4 · Sharing in a ratio

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

    56 · 1 · 3 · Sharing in a ratio

  6. 6. Share 96 in the ratio 3:5. What is the larger share?

    96 · 3 · 5 · 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 24 in the ratio 1:3. What is the larger share?

    24 · 1 · 3 · Sharing in a ratio

  9. 9. Share 45 in the ratio 2:3. What is the larger share?

    45 · 2 · 3 · Sharing in a ratio

  10. 10. Share 77 in the ratio 3:4. What is the larger share?

    77 · 3 · 4 · Sharing in a ratio

  11. 11. Share 30 in the ratio 1:2. What is the larger share?

    30 · 1 · 2 · Sharing in a ratio

  12. 12. Share 52 in the ratio 1:3. What is the larger share?

    52 · 1 · 3 · Sharing in a ratio
12 questions · Seed 50 · 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 104 in the ratio 3:5. What is the larger share?

    65

    Total parts = 3 + 5 = 8. One part = 104 ÷ 8 = 13. Larger share = 5 × 13 = 65.

  2. 2. Share 49 in the ratio 2:5. What is the larger share?

    35

    Total parts = 2 + 5 = 7. One part = 49 ÷ 7 = 7. Larger share = 5 × 7 = 35.

  3. 3. Share 70 in the ratio 2:3. What is the larger share?

    42

    Total parts = 2 + 3 = 5. One part = 70 ÷ 5 = 14. Larger share = 3 × 14 = 42.

  4. 4. Share 56 in the ratio 3:4. What is the larger share?

    32

    Total parts = 3 + 4 = 7. One part = 56 ÷ 7 = 8. Larger share = 4 × 8 = 32.

  5. 5. 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.

  6. 6. Share 96 in the ratio 3:5. What is the larger share?

    60

    Total parts = 3 + 5 = 8. One part = 96 ÷ 8 = 12. Larger share = 5 × 12 = 60.

  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 24 in the ratio 1:3. What is the larger share?

    18

    Total parts = 1 + 3 = 4. One part = 24 ÷ 4 = 6. Larger share = 3 × 6 = 18.

  9. 9. Share 45 in the ratio 2:3. What is the larger share?

    27

    Total parts = 2 + 3 = 5. One part = 45 ÷ 5 = 9. Larger share = 3 × 9 = 27.

  10. 10. Share 77 in the ratio 3:4. What is the larger share?

    44

    Total parts = 3 + 4 = 7. One part = 77 ÷ 7 = 11. Larger share = 4 × 11 = 44.

  11. 11. Share 30 in the ratio 1:2. What is the larger share?

    20

    Total parts = 1 + 2 = 3. One part = 30 ÷ 3 = 10. Larger share = 2 × 10 = 20.

  12. 12. Share 52 in the ratio 1:3. What is the larger share?

    39

    Total parts = 1 + 3 = 4. One part = 52 ÷ 4 = 13. Larger share = 3 × 13 = 39.

12 questions · Seed 50 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Sharing in a ratio

Take your time. Show your thinking.

  1. 1. Share 104 in the ratio 3:5. What is the larger share?

    104 · 3 · 5 · Sharing in a ratio

  2. 2. Share 49 in the ratio 2:5. What is the larger share?

    49 · 2 · 5 · Sharing in a ratio

  3. 3. Share 70 in the ratio 2:3. What is the larger share?

    70 · 2 · 3 · Sharing in a ratio

  4. 4. Share 56 in the ratio 3:4. What is the larger share?

    56 · 3 · 4 · Sharing in a ratio

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

    56 · 1 · 3 · Sharing in a ratio

  6. 6. Share 96 in the ratio 3:5. What is the larger share?

    96 · 3 · 5 · 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 24 in the ratio 1:3. What is the larger share?

    24 · 1 · 3 · Sharing in a ratio

  9. 9. Share 45 in the ratio 2:3. What is the larger share?

    45 · 2 · 3 · Sharing in a ratio

  10. 10. Share 77 in the ratio 3:4. What is the larger share?

    77 · 3 · 4 · Sharing in a ratio

  11. 11. Share 30 in the ratio 1:2. What is the larger share?

    30 · 1 · 2 · Sharing in a ratio

  12. 12. Share 52 in the ratio 1:3. What is the larger share?

    52 · 1 · 3 · Sharing in a ratio
12 questions · Seed 50 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. Share 104 in the ratio 3:5. What is the larger share?

    65

    Total parts = 3 + 5 = 8. One part = 104 ÷ 8 = 13. Larger share = 5 × 13 = 65.

  2. 2. Share 49 in the ratio 2:5. What is the larger share?

    35

    Total parts = 2 + 5 = 7. One part = 49 ÷ 7 = 7. Larger share = 5 × 7 = 35.

  3. 3. Share 70 in the ratio 2:3. What is the larger share?

    42

    Total parts = 2 + 3 = 5. One part = 70 ÷ 5 = 14. Larger share = 3 × 14 = 42.

  4. 4. Share 56 in the ratio 3:4. What is the larger share?

    32

    Total parts = 3 + 4 = 7. One part = 56 ÷ 7 = 8. Larger share = 4 × 8 = 32.

  5. 5. 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.

  6. 6. Share 96 in the ratio 3:5. What is the larger share?

    60

    Total parts = 3 + 5 = 8. One part = 96 ÷ 8 = 12. Larger share = 5 × 12 = 60.

  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 24 in the ratio 1:3. What is the larger share?

    18

    Total parts = 1 + 3 = 4. One part = 24 ÷ 4 = 6. Larger share = 3 × 6 = 18.

  9. 9. Share 45 in the ratio 2:3. What is the larger share?

    27

    Total parts = 2 + 3 = 5. One part = 45 ÷ 5 = 9. Larger share = 3 × 9 = 27.

  10. 10. Share 77 in the ratio 3:4. What is the larger share?

    44

    Total parts = 3 + 4 = 7. One part = 77 ÷ 7 = 11. Larger share = 4 × 11 = 44.

  11. 11. Share 30 in the ratio 1:2. What is the larger share?

    20

    Total parts = 1 + 2 = 3. One part = 30 ÷ 3 = 10. Larger share = 2 × 10 = 20.

  12. 12. Share 52 in the ratio 1:3. What is the larger share?

    39

    Total parts = 1 + 3 = 4. One part = 52 ÷ 4 = 13. Larger share = 3 × 13 = 39.

12 questions · Seed 50 · Age guidance, not curriculum certification