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Ratios: find the first quantity

Year 7 maths · Fieldbook Learning

Name ______________________ Date __________

Find what one part is worth, then multiply by the number of parts you need.

  1. The ratio of fiction books to non-fiction books is 5 : 1. There are 3 non-fiction books. How many fiction books are there?
  2. The ratio of fiction books to non-fiction books is 2 : 7. There are 35 non-fiction books. How many fiction books are there?
  3. The ratio of apples to oranges is 4 : 5. There are 20 oranges. How many apples are there?
  4. The ratio of apples to oranges is 2 : 8. There are 56 oranges. How many apples are there?
  5. The ratio of boys to girls is 6 : 8. There are 40 girls. How many boys are there?
  6. The ratio of cats to dogs is 5 : 11. There are 55 dogs. How many cats are there?
  7. The ratio of red marbles to blue marbles is 5 : 11. There are 66 blue marbles. How many red marbles are there?
  8. The ratio of red marbles to blue marbles is 1 : 5. There are 40 blue marbles. How many red marbles are there?
  9. The ratio of cats to dogs is 6 : 15. There are 180 dogs. How many cats are there?
  10. The ratio of cats to dogs is 4 : 6. There are 84 dogs. How many cats are there?
  11. The ratio of fiction books to non-fiction books is 13 : 4. There are 8 non-fiction books. How many fiction books are there?
  12. The ratio of boys to girls is 1 : 4. There are 52 girls. How many boys are there?
  13. The ratio of fiction books to non-fiction books is 14 : 18. There are 198 non-fiction books. How many fiction books are there?
  14. The ratio of fiction books to non-fiction books is 8 : 2. There are 14 non-fiction books. How many fiction books are there?
  15. The ratio of cats to dogs is 20 : 2. There are 36 dogs. How many cats are there?
  16. The ratio of cats to dogs is 9 : 12. There are 120 dogs. How many cats are there?
  17. The ratio of red marbles to blue marbles is 10 : 11. There are 330 blue marbles. How many red marbles are there?
  18. The ratio of boys to girls is 26 : 16. There are 448 girls. How many boys are there?
  19. The ratio of apples to oranges is 26 : 27. There are 702 oranges. How many apples are there?
  20. The ratio of red marbles to blue marbles is 13 : 12. There are 336 blue marbles. How many red marbles are there?
More free practice: fieldbooklearning.com/au/practice/year-7/ratios-find-the-first-quantity/

Play it as a quiz game

15 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: find the first quantity

  1. 15
  2. 10
  3. 16
  4. 14
  5. 30
  6. 25
  7. 30
  8. 8
  9. 72
  10. 56
  11. 26
  12. 13
  13. 154
  14. 56
  15. 360
  16. 90
  17. 300
  18. 728
  19. 676
  20. 364