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Share a total in a three-part ratio

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

Add all three parts, divide the total by that number, then multiply by the part you want.

  1. A bag has red, blue and green counters in the ratio 3 : 6 : 4. There are 52 counters in all. How many are green?
  2. A bag has red, blue and green counters in the ratio 6 : 2 : 1. There are 72 counters in all. How many are green?
  3. A bag has red, blue and green counters in the ratio 4 : 2 : 1. There are 56 counters in all. How many are red?
  4. A bag has red, blue and green counters in the ratio 5 : 2 : 6. There are 78 counters in all. How many are blue?
  5. A bag has red, blue and green counters in the ratio 1 : 1 : 2. There are 32 counters in all. How many are red?
  6. A bag has red, blue and green counters in the ratio 1 : 3 : 3. There are 42 counters in all. How many are red?
  7. A bag has red, blue and green counters in the ratio 2 : 5 : 5. There are 60 counters in all. How many are blue?
  8. A bag has red, blue and green counters in the ratio 3 : 5 : 1. There are 45 counters in all. How many are green?
  9. A bag has red, blue and green counters in the ratio 5 : 7 : 3. There are 225 counters in all. How many are red?
  10. A bag has red, blue and green counters in the ratio 1 : 1 : 4. There are 36 counters in all. How many are red?
  11. A bag has red, blue and green counters in the ratio 5 : 7 : 6. There are 252 counters in all. How many are green?
  12. A bag has red, blue and green counters in the ratio 7 : 1 : 7. There are 165 counters in all. How many are red?
  13. A bag has red, blue and green counters in the ratio 8 : 11 : 9. There are 196 counters in all. How many are green?
  14. A bag has red, blue and green counters in the ratio 5 : 4 : 4. There are 260 counters in all. How many are blue?
  15. A bag has red, blue and green counters in the ratio 11 : 10 : 7. There are 448 counters in all. How many are green?
  16. A bag has red, blue and green counters in the ratio 4 : 5 : 2. There are 220 counters in all. How many are green?
  17. A bag has red, blue and green counters in the ratio 5 : 14 : 5. There are 120 counters in all. How many are red?
  18. A bag has red, blue and green counters in the ratio 13 : 14 : 15. There are 1050 counters in all. How many are red?
  19. A bag has red, blue and green counters in the ratio 15 : 4 : 1. There are 180 counters in all. How many are blue?
  20. A bag has red, blue and green counters in the ratio 12 : 8 : 5. There are 400 counters in all. How many are red?
More free practice: fieldbooklearning.com/uk/practice/year-8/share-a-total-in-a-three-part-ratio/

Play it as a quiz game

20 of these questions as multiple choice, with near-miss wrong answers, ready for Kahoot or Blooket.

  1. Download the game's own question template: in Kahoot, Add question → Import spreadsheet; in Blooket, Create a set → Spreadsheet import.
  2. Click the matching button below, then click the first empty question row of the template and paste.
  3. Save the template (Kahoot needs .xlsx, Blooket .csv) and upload it.
Download CSV

Answer key: Share a total in a three-part ratio

  1. 16
  2. 8
  3. 32
  4. 12
  5. 8
  6. 6
  7. 25
  8. 5
  9. 75
  10. 6
  11. 84
  12. 77
  13. 63
  14. 80
  15. 112
  16. 40
  17. 25
  18. 325
  19. 36
  20. 192