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Ratios: use the difference to find the total

Year 7 maths · Fieldbook Learning

Name ______________________ Date __________

The difference between the parts is a known number of items. Use it to find one part, then the total.

  1. The ratio of cats to dogs is 2 : 1. There are 5 more cats than dogs. How many pets are there in all?
  2. The ratio of apples to oranges is 1 : 4. There are 12 more oranges than apples. How many pieces of fruit are there in all?
  3. The ratio of boys to girls is 3 : 4. There are 2 more girls than boys. How many students are there in all?
  4. The ratio of hens to ducks is 4 : 1. There are 6 more hens than ducks. How many birds are there in all?
  5. The ratio of boys to girls is 4 : 3. There are 8 more boys than girls. How many students are there in all?
  6. The ratio of tulips to daffodils is 1 : 5. There are 16 more daffodils than tulips. How many flowers are there in all?
  7. The ratio of pencils to pens is 1 : 5. There are 32 more pens than pencils. How many writing tools are there in all?
  8. The ratio of apples to oranges is 5 : 4. There are 3 more apples than oranges. How many pieces of fruit are there in all?
  9. The ratio of cats to dogs is 1 : 7. There are 30 more dogs than cats. How many pets are there in all?
  10. The ratio of fiction books to non-fiction books is 3 : 1. There are 10 more fiction books than non-fiction books. How many books are there in all?
  11. The ratio of boys to girls is 3 : 8. There are 15 more girls than boys. How many students are there in all?
  12. The ratio of red marbles to blue marbles is 5 : 2. There are 27 more red marbles than blue marbles. How many marbles are there in all?
  13. The ratio of guitars to drums is 8 : 6. There are 12 more guitars than drums. How many instruments are there in all?
  14. The ratio of red marbles to blue marbles is 4 : 6. There are 12 more blue marbles than red marbles. How many marbles are there in all?
  15. The ratio of red marbles to blue marbles is 5 : 4. There are 10 more red marbles than blue marbles. How many marbles are there in all?
  16. The ratio of cars to bikes is 1 : 5. There are 28 more bikes than cars. How many vehicles are there in all?
  17. The ratio of red marbles to blue marbles is 6 : 5. There are 13 more red marbles than blue marbles. How many marbles are there in all?
  18. The ratio of guitars to drums is 2 : 9. There are 63 more drums than guitars. How many instruments are there in all?
  19. The ratio of hens to ducks is 4 : 12. There are 40 more ducks than hens. How many birds are there in all?
  20. The ratio of apples to oranges is 2 : 5. There are 36 more oranges than apples. How many pieces of fruit are there in all?
More free practice: fieldbooklearning.com/uk/practice/year-7/ratios-use-the-difference-to-find-the-total/

Play it as a quiz game

12 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: Ratios: use the difference to find the total

  1. 15
  2. 20
  3. 14
  4. 10
  5. 56
  6. 24
  7. 48
  8. 27
  9. 40
  10. 20
  11. 33
  12. 63
  13. 84
  14. 60
  15. 90
  16. 42
  17. 143
  18. 99
  19. 80
  20. 84