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

    30 · 1 · 2 · Sharing in a ratio

  3. 3. Share 91 in the ratio 2:5. What is the larger share?

    91 · 2 · 5 · Sharing in a ratio

  4. 4. Share 42 in the ratio 3:4. What is the larger share?

    42 · 3 · 4 · Sharing in a ratio

  5. 5. Share 35 in the ratio 2:5. What is the larger share?

    35 · 2 · 5 · Sharing in a ratio

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

    60 · 2 · 3 · Sharing in a ratio

  7. 7. Share 84 in the ratio 2:5. What is the larger share?

    84 · 2 · 5 · Sharing in a ratio

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

    56 · 2 · 5 · Sharing in a ratio

  9. 9. Share 40 in the ratio 3:7. What is the larger share?

    40 · 3 · 7 · Sharing in a ratio

  10. 10. Share 32 in the ratio 3:5. What is the larger share?

    32 · 3 · 5 · Sharing in a ratio

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

    27 · 1 · 2 · Sharing in a ratio

  12. 12. Share 100 in the ratio 3:7. What is the larger share?

    100 · 3 · 7 · Sharing in a ratio
12 questions · Seed 49 · 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 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.

  3. 3. Share 91 in the ratio 2:5. What is the larger share?

    65

    Total parts = 2 + 5 = 7. One part = 91 ÷ 7 = 13. Larger share = 5 × 13 = 65.

  4. 4. Share 42 in the ratio 3:4. What is the larger share?

    24

    Total parts = 3 + 4 = 7. One part = 42 ÷ 7 = 6. Larger share = 4 × 6 = 24.

  5. 5. Share 35 in the ratio 2:5. What is the larger share?

    25

    Total parts = 2 + 5 = 7. One part = 35 ÷ 7 = 5. Larger share = 5 × 5 = 25.

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

    36

    Total parts = 2 + 3 = 5. One part = 60 ÷ 5 = 12. Larger share = 3 × 12 = 36.

  7. 7. Share 84 in the ratio 2:5. What is the larger share?

    60

    Total parts = 2 + 5 = 7. One part = 84 ÷ 7 = 12. Larger share = 5 × 12 = 60.

  8. 8. 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.

  9. 9. Share 40 in the ratio 3:7. What is the larger share?

    28

    Total parts = 3 + 7 = 10. One part = 40 ÷ 10 = 4. Larger share = 7 × 4 = 28.

  10. 10. Share 32 in the ratio 3:5. What is the larger share?

    20

    Total parts = 3 + 5 = 8. One part = 32 ÷ 8 = 4. Larger share = 5 × 4 = 20.

  11. 11. 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.

  12. 12. Share 100 in the ratio 3:7. What is the larger share?

    70

    Total parts = 3 + 7 = 10. One part = 100 ÷ 10 = 10. Larger share = 7 × 10 = 70.

12 questions · Seed 49 · 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 30 in the ratio 1:2. What is the larger share?

    30 · 1 · 2 · Sharing in a ratio

  3. 3. Share 91 in the ratio 2:5. What is the larger share?

    91 · 2 · 5 · Sharing in a ratio

  4. 4. Share 42 in the ratio 3:4. What is the larger share?

    42 · 3 · 4 · Sharing in a ratio

  5. 5. Share 35 in the ratio 2:5. What is the larger share?

    35 · 2 · 5 · Sharing in a ratio

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

    60 · 2 · 3 · Sharing in a ratio

  7. 7. Share 84 in the ratio 2:5. What is the larger share?

    84 · 2 · 5 · Sharing in a ratio

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

    56 · 2 · 5 · Sharing in a ratio

  9. 9. Share 40 in the ratio 3:7. What is the larger share?

    40 · 3 · 7 · Sharing in a ratio

  10. 10. Share 32 in the ratio 3:5. What is the larger share?

    32 · 3 · 5 · Sharing in a ratio

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

    27 · 1 · 2 · Sharing in a ratio

  12. 12. Share 100 in the ratio 3:7. What is the larger share?

    100 · 3 · 7 · Sharing in a ratio
12 questions · Seed 49 · 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 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.

  3. 3. Share 91 in the ratio 2:5. What is the larger share?

    65

    Total parts = 2 + 5 = 7. One part = 91 ÷ 7 = 13. Larger share = 5 × 13 = 65.

  4. 4. Share 42 in the ratio 3:4. What is the larger share?

    24

    Total parts = 3 + 4 = 7. One part = 42 ÷ 7 = 6. Larger share = 4 × 6 = 24.

  5. 5. Share 35 in the ratio 2:5. What is the larger share?

    25

    Total parts = 2 + 5 = 7. One part = 35 ÷ 7 = 5. Larger share = 5 × 5 = 25.

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

    36

    Total parts = 2 + 3 = 5. One part = 60 ÷ 5 = 12. Larger share = 3 × 12 = 36.

  7. 7. Share 84 in the ratio 2:5. What is the larger share?

    60

    Total parts = 2 + 5 = 7. One part = 84 ÷ 7 = 12. Larger share = 5 × 12 = 60.

  8. 8. 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.

  9. 9. Share 40 in the ratio 3:7. What is the larger share?

    28

    Total parts = 3 + 7 = 10. One part = 40 ÷ 10 = 4. Larger share = 7 × 4 = 28.

  10. 10. Share 32 in the ratio 3:5. What is the larger share?

    20

    Total parts = 3 + 5 = 8. One part = 32 ÷ 8 = 4. Larger share = 5 × 4 = 20.

  11. 11. 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.

  12. 12. Share 100 in the ratio 3:7. What is the larger share?

    70

    Total parts = 3 + 7 = 10. One part = 100 ÷ 10 = 10. Larger share = 7 × 10 = 70.

12 questions · Seed 49 · Age guidance, not curriculum certification