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

    24 · 1 · 3 · Sharing in a ratio

  2. 2. Share 30 in the ratio 1:4. What is the larger share?

    30 · 1 · 4 · Sharing in a ratio

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

    98 · 2 · 5 · Sharing in a ratio

  4. 4. Share 20 in the ratio 3:7. What is the larger share?

    20 · 3 · 7 · Sharing in a ratio

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

    25 · 2 · 3 · Sharing in a ratio

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

    75 · 1 · 4 · Sharing in a ratio

  7. 7. Share 140 in the ratio 3:7. What is the larger share?

    140 · 3 · 7 · Sharing in a ratio

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

    56 · 1 · 3 · Sharing in a ratio

  9. 9. Share 91 in the ratio 3:4. What is the larger share?

    91 · 3 · 4 · Sharing in a ratio

  10. 10. Share 50 in the ratio 2:3. What is the larger share?

    50 · 2 · 3 · Sharing in a ratio

  11. 11. Share 10 in the ratio 2:3. What is the larger share?

    10 · 2 · 3 · Sharing in a ratio

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

    40 · 1 · 3 · Sharing in a ratio
12 questions · Seed 51 · 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 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.

  2. 2. Share 30 in the ratio 1:4. What is the larger share?

    24

    Total parts = 1 + 4 = 5. One part = 30 ÷ 5 = 6. Larger share = 4 × 6 = 24.

  3. 3. 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.

  4. 4. Share 20 in the ratio 3:7. What is the larger share?

    14

    Total parts = 3 + 7 = 10. One part = 20 ÷ 10 = 2. Larger share = 7 × 2 = 14.

  5. 5. 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.

  6. 6. 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.

  7. 7. Share 140 in the ratio 3:7. What is the larger share?

    98

    Total parts = 3 + 7 = 10. One part = 140 ÷ 10 = 14. Larger share = 7 × 14 = 98.

  8. 8. 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.

  9. 9. Share 91 in the ratio 3:4. What is the larger share?

    52

    Total parts = 3 + 4 = 7. One part = 91 ÷ 7 = 13. Larger share = 4 × 13 = 52.

  10. 10. Share 50 in the ratio 2:3. What is the larger share?

    30

    Total parts = 2 + 3 = 5. One part = 50 ÷ 5 = 10. Larger share = 3 × 10 = 30.

  11. 11. Share 10 in the ratio 2:3. What is the larger share?

    6

    Total parts = 2 + 3 = 5. One part = 10 ÷ 5 = 2. Larger share = 3 × 2 = 6.

  12. 12. 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.

12 questions · Seed 51 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Sharing in a ratio

Take your time. Show your thinking.

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

    24 · 1 · 3 · Sharing in a ratio

  2. 2. Share 30 in the ratio 1:4. What is the larger share?

    30 · 1 · 4 · Sharing in a ratio

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

    98 · 2 · 5 · Sharing in a ratio

  4. 4. Share 20 in the ratio 3:7. What is the larger share?

    20 · 3 · 7 · Sharing in a ratio

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

    25 · 2 · 3 · Sharing in a ratio

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

    75 · 1 · 4 · Sharing in a ratio

  7. 7. Share 140 in the ratio 3:7. What is the larger share?

    140 · 3 · 7 · Sharing in a ratio

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

    56 · 1 · 3 · Sharing in a ratio

  9. 9. Share 91 in the ratio 3:4. What is the larger share?

    91 · 3 · 4 · Sharing in a ratio

  10. 10. Share 50 in the ratio 2:3. What is the larger share?

    50 · 2 · 3 · Sharing in a ratio

  11. 11. Share 10 in the ratio 2:3. What is the larger share?

    10 · 2 · 3 · Sharing in a ratio

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

    40 · 1 · 3 · Sharing in a ratio
12 questions · Seed 51 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. 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.

  2. 2. Share 30 in the ratio 1:4. What is the larger share?

    24

    Total parts = 1 + 4 = 5. One part = 30 ÷ 5 = 6. Larger share = 4 × 6 = 24.

  3. 3. 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.

  4. 4. Share 20 in the ratio 3:7. What is the larger share?

    14

    Total parts = 3 + 7 = 10. One part = 20 ÷ 10 = 2. Larger share = 7 × 2 = 14.

  5. 5. 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.

  6. 6. 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.

  7. 7. Share 140 in the ratio 3:7. What is the larger share?

    98

    Total parts = 3 + 7 = 10. One part = 140 ÷ 10 = 14. Larger share = 7 × 14 = 98.

  8. 8. 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.

  9. 9. Share 91 in the ratio 3:4. What is the larger share?

    52

    Total parts = 3 + 4 = 7. One part = 91 ÷ 7 = 13. Larger share = 4 × 13 = 52.

  10. 10. Share 50 in the ratio 2:3. What is the larger share?

    30

    Total parts = 2 + 3 = 5. One part = 50 ÷ 5 = 10. Larger share = 3 × 10 = 30.

  11. 11. Share 10 in the ratio 2:3. What is the larger share?

    6

    Total parts = 2 + 3 = 5. One part = 10 ÷ 5 = 2. Larger share = 3 × 2 = 6.

  12. 12. 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.

12 questions · Seed 51 · Age guidance, not curriculum certification