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

    40 · 1 · 3 · Sharing in a ratio

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

    42 · 3 · 4 · Sharing in a ratio

  3. 3. Share 24 in the ratio 1:2. What is the larger share?

    24 · 1 · 2 · Sharing in a ratio

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

    49 · 2 · 5 · Sharing in a ratio

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

    104 · 3 · 5 · 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 21 in the ratio 3:4. What is the larger share?

    21 · 3 · 4 · Sharing in a ratio

  8. 8. Share 25 in the ratio 1:4. What is the larger share?

    25 · 1 · 4 · Sharing in a ratio

  9. 9. Share 48 in the ratio 3:5. What is the larger share?

    48 · 3 · 5 · Sharing in a ratio

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

    56 · 2 · 5 · Sharing in a ratio

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

    50 · 2 · 3 · Sharing in a ratio

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

    84 · 3 · 4 · Sharing in a ratio
12 questions · Seed 60 · 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 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.

  2. 2. 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.

  3. 3. 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.

  4. 4. 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.

  5. 5. 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.

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

    12

    Total parts = 3 + 4 = 7. One part = 21 ÷ 7 = 3. Larger share = 4 × 3 = 12.

  8. 8. Share 25 in the ratio 1:4. What is the larger share?

    20

    Total parts = 1 + 4 = 5. One part = 25 ÷ 5 = 5. Larger share = 4 × 5 = 20.

  9. 9. Share 48 in the ratio 3:5. What is the larger share?

    30

    Total parts = 3 + 5 = 8. One part = 48 ÷ 8 = 6. Larger share = 5 × 6 = 30.

  10. 10. 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.

  11. 11. 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.

  12. 12. 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.

12 questions · Seed 60 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Sharing in a ratio

Take your time. Show your thinking.

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

    40 · 1 · 3 · Sharing in a ratio

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

    42 · 3 · 4 · Sharing in a ratio

  3. 3. Share 24 in the ratio 1:2. What is the larger share?

    24 · 1 · 2 · Sharing in a ratio

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

    49 · 2 · 5 · Sharing in a ratio

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

    104 · 3 · 5 · 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 21 in the ratio 3:4. What is the larger share?

    21 · 3 · 4 · Sharing in a ratio

  8. 8. Share 25 in the ratio 1:4. What is the larger share?

    25 · 1 · 4 · Sharing in a ratio

  9. 9. Share 48 in the ratio 3:5. What is the larger share?

    48 · 3 · 5 · Sharing in a ratio

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

    56 · 2 · 5 · Sharing in a ratio

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

    50 · 2 · 3 · Sharing in a ratio

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

    84 · 3 · 4 · Sharing in a ratio
12 questions · Seed 60 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. 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.

  2. 2. 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.

  3. 3. 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.

  4. 4. 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.

  5. 5. 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.

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

    12

    Total parts = 3 + 4 = 7. One part = 21 ÷ 7 = 3. Larger share = 4 × 3 = 12.

  8. 8. Share 25 in the ratio 1:4. What is the larger share?

    20

    Total parts = 1 + 4 = 5. One part = 25 ÷ 5 = 5. Larger share = 4 × 5 = 20.

  9. 9. Share 48 in the ratio 3:5. What is the larger share?

    30

    Total parts = 3 + 5 = 8. One part = 48 ÷ 8 = 6. Larger share = 5 × 6 = 30.

  10. 10. 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.

  11. 11. 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.

  12. 12. 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.

12 questions · Seed 60 · Age guidance, not curriculum certification