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

    50 · 3 · 7 · Sharing in a ratio

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

    40 · 3 · 7 · Sharing in a ratio

  3. 3. Share 77 in the ratio 2:5. What is the larger share?

    77 · 2 · 5 · Sharing in a ratio

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

    63 · 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 45 in the ratio 1:2. What is the larger share?

    45 · 1 · 2 · 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 12 in the ratio 1:2. What is the larger share?

    12 · 1 · 2 · Sharing in a ratio

  9. 9. Share 10 in the ratio 1:4. What is the larger share?

    10 · 1 · 4 · Sharing in a ratio

  10. 10. Share 120 in the ratio 3:5. What is the larger share?

    120 · 3 · 5 · Sharing in a ratio

  11. 11. Share 28 in the ratio 2:5. What is the larger share?

    28 · 2 · 5 · Sharing in a ratio

  12. 12. Share 90 in the ratio 3:7. What is the larger share?

    90 · 3 · 7 · Sharing in a ratio
12 questions · Seed 42 · 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 50 in the ratio 3:7. What is the larger share?

    35

    Total parts = 3 + 7 = 10. One part = 50 ÷ 10 = 5. Larger share = 7 × 5 = 35.

  2. 2. 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.

  3. 3. Share 77 in the ratio 2:5. What is the larger share?

    55

    Total parts = 2 + 5 = 7. One part = 77 ÷ 7 = 11. Larger share = 5 × 11 = 55.

  4. 4. 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.

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

    30

    Total parts = 1 + 2 = 3. One part = 45 ÷ 3 = 15. Larger share = 2 × 15 = 30.

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

    8

    Total parts = 1 + 2 = 3. One part = 12 ÷ 3 = 4. Larger share = 2 × 4 = 8.

  9. 9. Share 10 in the ratio 1:4. What is the larger share?

    8

    Total parts = 1 + 4 = 5. One part = 10 ÷ 5 = 2. Larger share = 4 × 2 = 8.

  10. 10. Share 120 in the ratio 3:5. What is the larger share?

    75

    Total parts = 3 + 5 = 8. One part = 120 ÷ 8 = 15. Larger share = 5 × 15 = 75.

  11. 11. Share 28 in the ratio 2:5. What is the larger share?

    20

    Total parts = 2 + 5 = 7. One part = 28 ÷ 7 = 4. Larger share = 5 × 4 = 20.

  12. 12. Share 90 in the ratio 3:7. What is the larger share?

    63

    Total parts = 3 + 7 = 10. One part = 90 ÷ 10 = 9. Larger share = 7 × 9 = 63.

12 questions · Seed 42 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Sharing in a ratio

Take your time. Show your thinking.

  1. 1. Share 50 in the ratio 3:7. What is the larger share?

    50 · 3 · 7 · Sharing in a ratio

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

    40 · 3 · 7 · Sharing in a ratio

  3. 3. Share 77 in the ratio 2:5. What is the larger share?

    77 · 2 · 5 · Sharing in a ratio

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

    63 · 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 45 in the ratio 1:2. What is the larger share?

    45 · 1 · 2 · 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 12 in the ratio 1:2. What is the larger share?

    12 · 1 · 2 · Sharing in a ratio

  9. 9. Share 10 in the ratio 1:4. What is the larger share?

    10 · 1 · 4 · Sharing in a ratio

  10. 10. Share 120 in the ratio 3:5. What is the larger share?

    120 · 3 · 5 · Sharing in a ratio

  11. 11. Share 28 in the ratio 2:5. What is the larger share?

    28 · 2 · 5 · Sharing in a ratio

  12. 12. Share 90 in the ratio 3:7. What is the larger share?

    90 · 3 · 7 · Sharing in a ratio
12 questions · Seed 42 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. Share 50 in the ratio 3:7. What is the larger share?

    35

    Total parts = 3 + 7 = 10. One part = 50 ÷ 10 = 5. Larger share = 7 × 5 = 35.

  2. 2. 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.

  3. 3. Share 77 in the ratio 2:5. What is the larger share?

    55

    Total parts = 2 + 5 = 7. One part = 77 ÷ 7 = 11. Larger share = 5 × 11 = 55.

  4. 4. 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.

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

    30

    Total parts = 1 + 2 = 3. One part = 45 ÷ 3 = 15. Larger share = 2 × 15 = 30.

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

    8

    Total parts = 1 + 2 = 3. One part = 12 ÷ 3 = 4. Larger share = 2 × 4 = 8.

  9. 9. Share 10 in the ratio 1:4. What is the larger share?

    8

    Total parts = 1 + 4 = 5. One part = 10 ÷ 5 = 2. Larger share = 4 × 2 = 8.

  10. 10. Share 120 in the ratio 3:5. What is the larger share?

    75

    Total parts = 3 + 5 = 8. One part = 120 ÷ 8 = 15. Larger share = 5 × 15 = 75.

  11. 11. Share 28 in the ratio 2:5. What is the larger share?

    20

    Total parts = 2 + 5 = 7. One part = 28 ÷ 7 = 4. Larger share = 5 × 4 = 20.

  12. 12. Share 90 in the ratio 3:7. What is the larger share?

    63

    Total parts = 3 + 7 = 10. One part = 90 ÷ 10 = 9. Larger share = 7 × 9 = 63.

12 questions · Seed 42 · Age guidance, not curriculum certification