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Solve part-to-part and part-to-whole ratio problems

Year 7 maths · Fieldbook Learning

Name ______________________ Date __________

Use the ratio to find how many items one part stands for. Then multiply that by the number of parts the question asks about.

  1. In a jar, 2 out of every 3 marbles are red. There are 10 red marbles. How many marbles are not red?
  2. In a fruit bowl, 4 out of every 5 pieces of fruit are apples. There are 15 pieces of fruit in all. How many pieces of fruit are apples?
  3. In a bead box, 2 out of every 5 beads are blue. There are 20 beads in all. How many beads are blue?
  4. In a bookshelf, 2 out of every 5 books are fiction. There are 20 books in all. How many books are fiction?
  5. In a jar, 9 out of every 17 marbles are red. There are 45 red marbles. How many marbles are not red?
  6. In a garden, the ratio of tulips to daisies is 5:9. There are 154 flowers in all. How many daisies are there?
  7. In a sticker sheet, 9 out of every 10 stickers are gold. There are 70 stickers in all. How many stickers are gold?
  8. In a sticker sheet, 2 out of every 3 stickers are gold. There are 24 stickers in all. How many stickers are gold?
  9. In a garden, the ratio of tulips to daisies to roses is 9:9:4. There are 154 flowers in all. How many daisies are there?
  10. In a jar, the ratio of red marbles to blue marbles to green marbles is 9:2:1. There are 96 marbles in all. How many blue marbles are there?
  11. In a pencil case, the ratio of black pens to blue pens to red pens is 5:4:8. There are 30 black pens. How many red pens are there?
  12. In a pencil case, the ratio of black pens to blue pens to red pens is 7:5:6. There are 216 pens in all. How many blue pens are there?
  13. In a fruit bowl, the ratio of apples to pears to plums is 6:11:1. There are 48 apples. How many pears are there?
  14. In a garden, the ratio of tulips to daisies to roses is 11:4:11. There are 416 flowers in all. How many tulips are there?
  15. In a sticker sheet, the ratio of gold stickers to silver stickers to green stickers is 9:10:9. There are 40 silver stickers. How many gold stickers are there?
  16. In a sticker sheet, 7 out of every 19 stickers are gold. There are 105 gold stickers. How many stickers are not gold?
  17. In a jar, the ratio of red marbles to blue marbles to green marbles is 11:6:4. There are 120 blue marbles. How many green marbles are there?
  18. In a bookshelf, the ratio of fiction books to poetry books to comics is 11:8:5. There are 792 books in all. How many poetry books are there?
  19. In a jar, the ratio of red marbles to blue marbles to green marbles is 1:10:4. There are 780 marbles in all. How many red marbles are there?
  20. In a sticker sheet, the ratio of gold stickers to silver stickers to green stickers is 1:11:9. There are 39 gold stickers. How many silver stickers are there?
More free practice: fieldbooklearning.com/uk/practice/year-7/solve-part-to-part-and-part-to-whole-ratio-problems/

Play it as a quiz game

10 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: Solve part-to-part and part-to-whole ratio problems

  1. 5
  2. 12
  3. 8
  4. 8
  5. 40
  6. 99
  7. 63
  8. 16
  9. 63
  10. 16
  11. 48
  12. 60
  13. 88
  14. 176
  15. 36
  16. 180
  17. 80
  18. 264
  19. 52
  20. 429