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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 1:2. What is the larger share?

    24 · 1 · 2 · Sharing in a ratio

  2. 2. Share 84 in the ratio 3:4. What is the larger share?

    84 · 3 · 4 · Sharing in a ratio

  3. 3. Share 36 in the ratio 1:3. What is the larger share?

    36 · 1 · 3 · Sharing in a ratio

  4. 4. Share 35 in the ratio 1:4. What is the larger share?

    35 · 1 · 4 · Sharing in a ratio

  5. 5. Share 63 in the ratio 3:4. What is the larger share?

    63 · 3 · 4 · Sharing in a ratio

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

    140 · 3 · 7 · Sharing in a ratio

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

    91 · 3 · 4 · Sharing in a ratio

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

    14 · 3 · 4 · Sharing in a ratio

  9. 9. Share 16 in the ratio 1:3. What is the larger share?

    16 · 1 · 3 · Sharing in a ratio

  10. 10. Share 80 in the ratio 3:7. What is the larger share?

    80 · 3 · 7 · Sharing in a ratio

  11. 11. Share 49 in the ratio 3:4. What is the larger share?

    49 · 3 · 4 · Sharing in a ratio

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

    96 · 3 · 5 · Sharing in a ratio
12 questions · Seed 55 · 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 1:2. What is the larger share?

    16

    Total parts = 1 + 2 = 3. One part = 24 ÷ 3 = 8. Larger share = 2 × 8 = 16.

  2. 2. Share 84 in the ratio 3:4. What is the larger share?

    48

    Total parts = 3 + 4 = 7. One part = 84 ÷ 7 = 12. Larger share = 4 × 12 = 48.

  3. 3. Share 36 in the ratio 1:3. What is the larger share?

    27

    Total parts = 1 + 3 = 4. One part = 36 ÷ 4 = 9. Larger share = 3 × 9 = 27.

  4. 4. Share 35 in the ratio 1:4. What is the larger share?

    28

    Total parts = 1 + 4 = 5. One part = 35 ÷ 5 = 7. Larger share = 4 × 7 = 28.

  5. 5. Share 63 in the ratio 3:4. What is the larger share?

    36

    Total parts = 3 + 4 = 7. One part = 63 ÷ 7 = 9. Larger share = 4 × 9 = 36.

  6. 6. 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.

  7. 7. 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.

  8. 8. 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.

  9. 9. Share 16 in the ratio 1:3. What is the larger share?

    12

    Total parts = 1 + 3 = 4. One part = 16 ÷ 4 = 4. Larger share = 3 × 4 = 12.

  10. 10. Share 80 in the ratio 3:7. What is the larger share?

    56

    Total parts = 3 + 7 = 10. One part = 80 ÷ 10 = 8. Larger share = 7 × 8 = 56.

  11. 11. Share 49 in the ratio 3:4. What is the larger share?

    28

    Total parts = 3 + 4 = 7. One part = 49 ÷ 7 = 7. Larger share = 4 × 7 = 28.

  12. 12. 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.

12 questions · Seed 55 · 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 1:2. What is the larger share?

    24 · 1 · 2 · Sharing in a ratio

  2. 2. Share 84 in the ratio 3:4. What is the larger share?

    84 · 3 · 4 · Sharing in a ratio

  3. 3. Share 36 in the ratio 1:3. What is the larger share?

    36 · 1 · 3 · Sharing in a ratio

  4. 4. Share 35 in the ratio 1:4. What is the larger share?

    35 · 1 · 4 · Sharing in a ratio

  5. 5. Share 63 in the ratio 3:4. What is the larger share?

    63 · 3 · 4 · Sharing in a ratio

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

    140 · 3 · 7 · Sharing in a ratio

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

    91 · 3 · 4 · Sharing in a ratio

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

    14 · 3 · 4 · Sharing in a ratio

  9. 9. Share 16 in the ratio 1:3. What is the larger share?

    16 · 1 · 3 · Sharing in a ratio

  10. 10. Share 80 in the ratio 3:7. What is the larger share?

    80 · 3 · 7 · Sharing in a ratio

  11. 11. Share 49 in the ratio 3:4. What is the larger share?

    49 · 3 · 4 · Sharing in a ratio

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

    96 · 3 · 5 · Sharing in a ratio
12 questions · Seed 55 · 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 1:2. What is the larger share?

    16

    Total parts = 1 + 2 = 3. One part = 24 ÷ 3 = 8. Larger share = 2 × 8 = 16.

  2. 2. Share 84 in the ratio 3:4. What is the larger share?

    48

    Total parts = 3 + 4 = 7. One part = 84 ÷ 7 = 12. Larger share = 4 × 12 = 48.

  3. 3. Share 36 in the ratio 1:3. What is the larger share?

    27

    Total parts = 1 + 3 = 4. One part = 36 ÷ 4 = 9. Larger share = 3 × 9 = 27.

  4. 4. Share 35 in the ratio 1:4. What is the larger share?

    28

    Total parts = 1 + 4 = 5. One part = 35 ÷ 5 = 7. Larger share = 4 × 7 = 28.

  5. 5. Share 63 in the ratio 3:4. What is the larger share?

    36

    Total parts = 3 + 4 = 7. One part = 63 ÷ 7 = 9. Larger share = 4 × 9 = 36.

  6. 6. 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.

  7. 7. 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.

  8. 8. 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.

  9. 9. Share 16 in the ratio 1:3. What is the larger share?

    12

    Total parts = 1 + 3 = 4. One part = 16 ÷ 4 = 4. Larger share = 3 × 4 = 12.

  10. 10. Share 80 in the ratio 3:7. What is the larger share?

    56

    Total parts = 3 + 7 = 10. One part = 80 ÷ 10 = 8. Larger share = 7 × 8 = 56.

  11. 11. Share 49 in the ratio 3:4. What is the larger share?

    28

    Total parts = 3 + 4 = 7. One part = 49 ÷ 7 = 7. Larger share = 4 × 7 = 28.

  12. 12. 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.

12 questions · Seed 55 · Age guidance, not curriculum certification