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MathsAges 10-12

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 10-12

Sharing in a ratio

Take your time. Show your thinking.

  1. 1. Share 63 in the ratio 2:5. What is the larger share?

    63 · 2 · 5 · Sharing in a ratio

  2. 2. Share 48 in the ratio 1:3. What is the larger share?

    48 · 1 · 3 · Sharing in a ratio

  3. 3. Share 56 in the ratio 3:5. What is the larger share?

    56 · 3 · 5 · Sharing in a ratio

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

    75 · 1 · 4 · Sharing in a ratio

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

    96 · 3 · 5 · 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 36 in the ratio 1:2. What is the larger share?

    36 · 1 · 2 · Sharing in a ratio

  8. 8. Share 98 in the ratio 3:4. What is the larger share?

    98 · 3 · 4 · Sharing in a ratio

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

    84 · 3 · 4 · Sharing in a ratio

  10. 10. Share 75 in the ratio 2:3. What is the larger share?

    75 · 2 · 3 · Sharing in a ratio

  11. 11. Share 70 in the ratio 3:7. What is the larger share?

    70 · 3 · 7 · Sharing in a ratio

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

    56 · 2 · 5 · Sharing in a ratio
12 questions · Seed 46 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 10-12

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. Share 63 in the ratio 2:5. What is the larger share?

    45

    Total parts = 2 + 5 = 7. One part = 63 ÷ 7 = 9. Larger share = 5 × 9 = 45.

  2. 2. Share 48 in the ratio 1:3. What is the larger share?

    36

    Total parts = 1 + 3 = 4. One part = 48 ÷ 4 = 12. Larger share = 3 × 12 = 36.

  3. 3. Share 56 in the ratio 3:5. What is the larger share?

    35

    Total parts = 3 + 5 = 8. One part = 56 ÷ 8 = 7. Larger share = 5 × 7 = 35.

  4. 4. 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.

  5. 5. 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.

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

    24

    Total parts = 1 + 2 = 3. One part = 36 ÷ 3 = 12. Larger share = 2 × 12 = 24.

  8. 8. Share 98 in the ratio 3:4. What is the larger share?

    56

    Total parts = 3 + 4 = 7. One part = 98 ÷ 7 = 14. Larger share = 4 × 14 = 56.

  9. 9. 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.

  10. 10. Share 75 in the ratio 2:3. What is the larger share?

    45

    Total parts = 2 + 3 = 5. One part = 75 ÷ 5 = 15. Larger share = 3 × 15 = 45.

  11. 11. Share 70 in the ratio 3:7. What is the larger share?

    49

    Total parts = 3 + 7 = 10. One part = 70 ÷ 10 = 7. Larger share = 7 × 7 = 49.

  12. 12. 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.

12 questions · Seed 46 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12

Sharing in a ratio

Take your time. Show your thinking.

  1. 1. Share 63 in the ratio 2:5. What is the larger share?

    63 · 2 · 5 · Sharing in a ratio

  2. 2. Share 48 in the ratio 1:3. What is the larger share?

    48 · 1 · 3 · Sharing in a ratio

  3. 3. Share 56 in the ratio 3:5. What is the larger share?

    56 · 3 · 5 · Sharing in a ratio

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

    75 · 1 · 4 · Sharing in a ratio

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

    96 · 3 · 5 · 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 36 in the ratio 1:2. What is the larger share?

    36 · 1 · 2 · Sharing in a ratio

  8. 8. Share 98 in the ratio 3:4. What is the larger share?

    98 · 3 · 4 · Sharing in a ratio

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

    84 · 3 · 4 · Sharing in a ratio

  10. 10. Share 75 in the ratio 2:3. What is the larger share?

    75 · 2 · 3 · Sharing in a ratio

  11. 11. Share 70 in the ratio 3:7. What is the larger share?

    70 · 3 · 7 · Sharing in a ratio

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

    56 · 2 · 5 · Sharing in a ratio
12 questions · Seed 46 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. Share 63 in the ratio 2:5. What is the larger share?

    45

    Total parts = 2 + 5 = 7. One part = 63 ÷ 7 = 9. Larger share = 5 × 9 = 45.

  2. 2. Share 48 in the ratio 1:3. What is the larger share?

    36

    Total parts = 1 + 3 = 4. One part = 48 ÷ 4 = 12. Larger share = 3 × 12 = 36.

  3. 3. Share 56 in the ratio 3:5. What is the larger share?

    35

    Total parts = 3 + 5 = 8. One part = 56 ÷ 8 = 7. Larger share = 5 × 7 = 35.

  4. 4. 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.

  5. 5. 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.

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

    24

    Total parts = 1 + 2 = 3. One part = 36 ÷ 3 = 12. Larger share = 2 × 12 = 24.

  8. 8. Share 98 in the ratio 3:4. What is the larger share?

    56

    Total parts = 3 + 4 = 7. One part = 98 ÷ 7 = 14. Larger share = 4 × 14 = 56.

  9. 9. 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.

  10. 10. Share 75 in the ratio 2:3. What is the larger share?

    45

    Total parts = 2 + 3 = 5. One part = 75 ÷ 5 = 15. Larger share = 3 × 15 = 45.

  11. 11. Share 70 in the ratio 3:7. What is the larger share?

    49

    Total parts = 3 + 7 = 10. One part = 70 ÷ 10 = 7. Larger share = 7 × 7 = 49.

  12. 12. 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.

12 questions · Seed 46 · Age guidance, not curriculum certification