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

    30 · 1 · 2 · Sharing in a ratio

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

    77 · 2 · 5 · Sharing in a ratio

  3. 3. Share 30 in the ratio 1:4. What is the larger share?

    30 · 1 · 4 · Sharing in a ratio

  4. 4. Share 18 in the ratio 1:2. What is the larger share?

    18 · 1 · 2 · Sharing in a ratio

  5. 5. Share 30 in the ratio 2:3. What is the larger share?

    30 · 2 · 3 · Sharing in a ratio

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

    24 · 1 · 2 · Sharing in a ratio

  7. 7. Share 20 in the ratio 2:3. What is the larger share?

    20 · 2 · 3 · Sharing in a ratio

  8. 8. Share 77 in the ratio 3:4. What is the larger share?

    77 · 3 · 4 · Sharing in a ratio

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

    25 · 1 · 4 · Sharing in a ratio

  10. 10. Share 40 in the ratio 1:4. What is the larger share?

    40 · 1 · 4 · Sharing in a ratio

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

    75 · 2 · 3 · Sharing in a ratio

  12. 12. Share 70 in the ratio 2:3. What is the larger share?

    70 · 2 · 3 · Sharing in a ratio
12 questions · Seed 52 · 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 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.

  2. 2. 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.

  3. 3. Share 30 in the ratio 1:4. What is the larger share?

    24

    Total parts = 1 + 4 = 5. One part = 30 ÷ 5 = 6. Larger share = 4 × 6 = 24.

  4. 4. Share 18 in the ratio 1:2. What is the larger share?

    12

    Total parts = 1 + 2 = 3. One part = 18 ÷ 3 = 6. Larger share = 2 × 6 = 12.

  5. 5. Share 30 in the ratio 2:3. What is the larger share?

    18

    Total parts = 2 + 3 = 5. One part = 30 ÷ 5 = 6. Larger share = 3 × 6 = 18.

  6. 6. 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.

  7. 7. Share 20 in the ratio 2:3. What is the larger share?

    12

    Total parts = 2 + 3 = 5. One part = 20 ÷ 5 = 4. Larger share = 3 × 4 = 12.

  8. 8. Share 77 in the ratio 3:4. What is the larger share?

    44

    Total parts = 3 + 4 = 7. One part = 77 ÷ 7 = 11. Larger share = 4 × 11 = 44.

  9. 9. 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.

  10. 10. Share 40 in the ratio 1:4. What is the larger share?

    32

    Total parts = 1 + 4 = 5. One part = 40 ÷ 5 = 8. Larger share = 4 × 8 = 32.

  11. 11. 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.

  12. 12. Share 70 in the ratio 2:3. What is the larger share?

    42

    Total parts = 2 + 3 = 5. One part = 70 ÷ 5 = 14. Larger share = 3 × 14 = 42.

12 questions · Seed 52 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Sharing in a ratio

Take your time. Show your thinking.

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

    30 · 1 · 2 · Sharing in a ratio

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

    77 · 2 · 5 · Sharing in a ratio

  3. 3. Share 30 in the ratio 1:4. What is the larger share?

    30 · 1 · 4 · Sharing in a ratio

  4. 4. Share 18 in the ratio 1:2. What is the larger share?

    18 · 1 · 2 · Sharing in a ratio

  5. 5. Share 30 in the ratio 2:3. What is the larger share?

    30 · 2 · 3 · Sharing in a ratio

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

    24 · 1 · 2 · Sharing in a ratio

  7. 7. Share 20 in the ratio 2:3. What is the larger share?

    20 · 2 · 3 · Sharing in a ratio

  8. 8. Share 77 in the ratio 3:4. What is the larger share?

    77 · 3 · 4 · Sharing in a ratio

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

    25 · 1 · 4 · Sharing in a ratio

  10. 10. Share 40 in the ratio 1:4. What is the larger share?

    40 · 1 · 4 · Sharing in a ratio

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

    75 · 2 · 3 · Sharing in a ratio

  12. 12. Share 70 in the ratio 2:3. What is the larger share?

    70 · 2 · 3 · Sharing in a ratio
12 questions · Seed 52 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Sharing in a ratio

Answers and reasoning. Review before teaching.

  1. 1. 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.

  2. 2. 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.

  3. 3. Share 30 in the ratio 1:4. What is the larger share?

    24

    Total parts = 1 + 4 = 5. One part = 30 ÷ 5 = 6. Larger share = 4 × 6 = 24.

  4. 4. Share 18 in the ratio 1:2. What is the larger share?

    12

    Total parts = 1 + 2 = 3. One part = 18 ÷ 3 = 6. Larger share = 2 × 6 = 12.

  5. 5. Share 30 in the ratio 2:3. What is the larger share?

    18

    Total parts = 2 + 3 = 5. One part = 30 ÷ 5 = 6. Larger share = 3 × 6 = 18.

  6. 6. 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.

  7. 7. Share 20 in the ratio 2:3. What is the larger share?

    12

    Total parts = 2 + 3 = 5. One part = 20 ÷ 5 = 4. Larger share = 3 × 4 = 12.

  8. 8. Share 77 in the ratio 3:4. What is the larger share?

    44

    Total parts = 3 + 4 = 7. One part = 77 ÷ 7 = 11. Larger share = 4 × 11 = 44.

  9. 9. 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.

  10. 10. Share 40 in the ratio 1:4. What is the larger share?

    32

    Total parts = 1 + 4 = 5. One part = 40 ÷ 5 = 8. Larger share = 4 × 8 = 32.

  11. 11. 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.

  12. 12. Share 70 in the ratio 2:3. What is the larger share?

    42

    Total parts = 2 + 3 = 5. One part = 70 ÷ 5 = 14. Larger share = 3 × 14 = 42.

12 questions · Seed 52 · Age guidance, not curriculum certification