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

    21 · 2 · 5 · Sharing in a ratio

  2. 2. Share 70 in the ratio 2:5. What is the larger share?

    70 · 2 · 5 · Sharing in a ratio

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

    75 · 1 · 4 · Sharing in a ratio

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

    14 · 3 · 4 · Sharing in a ratio

  5. 5. Share 64 in the ratio 3:5. What is the larger share?

    64 · 3 · 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 120 in the ratio 3:7. What is the larger share?

    120 · 3 · 7 · Sharing in a ratio

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

    24 · 1 · 2 · 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 6 in the ratio 1:2. What is the larger share?

    6 · 1 · 2 · Sharing in a ratio

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

    12 · 1 · 2 · Sharing in a ratio

  12. 12. Share 33 in the ratio 1:2. What is the larger share?

    33 · 1 · 2 · Sharing in a ratio
12 questions · Seed 54 · 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 21 in the ratio 2:5. What is the larger share?

    15

    Total parts = 2 + 5 = 7. One part = 21 ÷ 7 = 3. Larger share = 5 × 3 = 15.

  2. 2. Share 70 in the ratio 2:5. What is the larger share?

    50

    Total parts = 2 + 5 = 7. One part = 70 ÷ 7 = 10. Larger share = 5 × 10 = 50.

  3. 3. 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.

  4. 4. 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.

  5. 5. Share 64 in the ratio 3:5. What is the larger share?

    40

    Total parts = 3 + 5 = 8. One part = 64 ÷ 8 = 8. Larger share = 5 × 8 = 40.

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

    84

    Total parts = 3 + 7 = 10. One part = 120 ÷ 10 = 12. Larger share = 7 × 12 = 84.

  8. 8. 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.

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

    4

    Total parts = 1 + 2 = 3. One part = 6 ÷ 3 = 2. Larger share = 2 × 2 = 4.

  11. 11. 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.

  12. 12. Share 33 in the ratio 1:2. What is the larger share?

    22

    Total parts = 1 + 2 = 3. One part = 33 ÷ 3 = 11. Larger share = 2 × 11 = 22.

12 questions · Seed 54 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12

Sharing in a ratio

Take your time. Show your thinking.

  1. 1. Share 21 in the ratio 2:5. What is the larger share?

    21 · 2 · 5 · Sharing in a ratio

  2. 2. Share 70 in the ratio 2:5. What is the larger share?

    70 · 2 · 5 · Sharing in a ratio

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

    75 · 1 · 4 · Sharing in a ratio

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

    14 · 3 · 4 · Sharing in a ratio

  5. 5. Share 64 in the ratio 3:5. What is the larger share?

    64 · 3 · 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 120 in the ratio 3:7. What is the larger share?

    120 · 3 · 7 · Sharing in a ratio

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

    24 · 1 · 2 · 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 6 in the ratio 1:2. What is the larger share?

    6 · 1 · 2 · Sharing in a ratio

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

    12 · 1 · 2 · Sharing in a ratio

  12. 12. Share 33 in the ratio 1:2. What is the larger share?

    33 · 1 · 2 · Sharing in a ratio
12 questions · Seed 54 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. Share 21 in the ratio 2:5. What is the larger share?

    15

    Total parts = 2 + 5 = 7. One part = 21 ÷ 7 = 3. Larger share = 5 × 3 = 15.

  2. 2. Share 70 in the ratio 2:5. What is the larger share?

    50

    Total parts = 2 + 5 = 7. One part = 70 ÷ 7 = 10. Larger share = 5 × 10 = 50.

  3. 3. 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.

  4. 4. 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.

  5. 5. Share 64 in the ratio 3:5. What is the larger share?

    40

    Total parts = 3 + 5 = 8. One part = 64 ÷ 8 = 8. Larger share = 5 × 8 = 40.

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

    84

    Total parts = 3 + 7 = 10. One part = 120 ÷ 10 = 12. Larger share = 7 × 12 = 84.

  8. 8. 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.

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

    4

    Total parts = 1 + 2 = 3. One part = 6 ÷ 3 = 2. Larger share = 2 × 2 = 4.

  11. 11. 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.

  12. 12. Share 33 in the ratio 1:2. What is the larger share?

    22

    Total parts = 1 + 2 = 3. One part = 33 ÷ 3 = 11. Larger share = 2 × 11 = 22.

12 questions · Seed 54 · Age guidance, not curriculum certification