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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 357 · 40 sums
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The method (Find one first): Simplest form: divide both terms by their HCF — 12 : 18 = 2 : 3. Equal ratios: multiply (or divide) both terms by the same number — 3 : 4 = 15 : 20. a, b, c, d are in proportion when a × d = b × c. Unitary method: value of one = total ÷ number; then × the number you need. To share in a ratio 2 : 3, split into 2 + 3 = 5 equal parts.

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  1. 1.Are 5, 10, 6 and 13 in proportion? (a) Yes (b) No
  2. 2.Write the ratio 16 : 4 in its simplest form. (a) 1 : 4 (b) 4 : 1 (c) 5 : 2 (d) 16 : 4
  3. 3.A team has 15 batters and 3 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 15 : 3 (b) 6 : 2 (c) 1 : 5 (d) 5 : 1
  4. 4.A box has 24 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 4 (b) 24 : 6 (c) 4 : 1 (d) 5 : 2
  5. 5.If 3 ice creams cost ₹15, how many rupees do 9 ice creams cost?
  6. 6.₹330 is shared between Rohan and Rahul in the ratio 3 : 8. How many rupees does Rohan get?
  7. 7.Write the ratio 35 : 15 in its simplest form. (a) 3 : 7 (b) 7 : 3 (c) 8 : 4 (d) 35 : 15
  8. 8.If 6 pens cost ₹330, how many rupees do 9 pens cost?
  9. 9.Are 18, 30, 6 and 10 in proportion? (a) No (b) Yes
  10. 10.Write the ratio 72 : 81 in its simplest form. (a) 9 : 8 (b) 72 : 81 (c) 9 : 10 (d) 8 : 9
  11. 11.7 : 8 = 49 : ?
  12. 12.4 : 9 = 20 : ?
  13. 13.A basket has 20 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 4 (b) 4 : 5 (c) 20 : 16 (d) 6 : 5
  14. 14.A garden has 3 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 1 (b) 3 : 12 (c) 1 : 4 (d) 2 : 5
  15. 15.A garden has 6 rose plants and 36 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 36 (b) 6 : 1 (c) 1 : 6 (d) 2 : 7
  16. 16.A library shelf has 30 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 4 (b) 3 : 5 (c) 5 : 3 (d) 30 : 18
  17. 17.₹2720 is shared between Pooja and Rohan in the ratio 8 : 9. How many rupees does Rohan get?
  18. 18.Write the ratio 63 : 14 in its simplest form. (a) 2 : 9 (b) 63 : 14 (c) 10 : 3 (d) 9 : 2
  19. 19.4 : 7 = 40 : ?
  20. 20.Are 5, 40, 9 and 72 in proportion? (a) No (b) Yes
  21. 21.Write the ratio 6 : 8 in its simplest form. (a) 4 : 3 (b) 3 : 4 (c) 6 : 8 (d) 4 : 5
  22. 22.Write the ratio 30 : 54 in its simplest form. (a) 30 : 54 (b) 9 : 5 (c) 5 : 9 (d) 6 : 10
  23. 23.1 : 2 = 4 : ?
  24. 24.Write the ratio 14 : 18 in its simplest form. (a) 14 : 18 (b) 7 : 9 (c) 9 : 7 (d) 8 : 10
  25. 25.A garden has 54 rose plants and 30 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 5 (b) 10 : 6 (c) 54 : 30 (d) 5 : 9
  26. 26.Write the ratio 25 : 10 in its simplest form. (a) 6 : 3 (b) 5 : 2 (c) 2 : 5 (d) 25 : 10
  27. 27.5 : 9 = 45 : ?
  28. 28.A scooter goes 225 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  29. 29.A garden has 9 rose plants and 54 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 54 (b) 6 : 1 (c) 1 : 6 (d) 2 : 7
  30. 30.5 : 7 = 15 : ?
  31. 31.If 9 bus tickets cost ₹288, how many rupees do 12 bus tickets cost?
  32. 32.A library shelf has 9 storybooks and 81 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 81 (b) 2 : 10 (c) 9 : 1 (d) 1 : 9
  33. 33.Are 4, 8, 5 and 10 in proportion? (a) No (b) Yes
  34. 34.Are 6, 10, 21 and 35 in proportion? (a) Yes (b) No
  35. 35.1 : 2 = ? : 4
  36. 36.A library shelf has 21 storybooks and 28 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 5 (b) 21 : 28 (c) 4 : 3 (d) 3 : 4
  37. 37.A class has 35 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 4 (b) 35 : 21 (c) 3 : 5 (d) 5 : 3
  38. 38.2 : 7 = 20 : ?
  39. 39.A library shelf has 21 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 7 (b) 7 : 4 (c) 21 : 12 (d) 8 : 5
  40. 40.A car goes 450 km in 6 hours. At the same speed, how many km does it go in 8 hours?

Answer key

  1. No
  2. 4 : 1
  3. 5 : 1
  4. 4 : 1
  5. 45
  6. 90
  7. 7 : 3
  8. 495
  9. Yes
  10. 8 : 9
  11. 56
  12. 45
  13. 5 : 4
  14. 1 : 4
  15. 1 : 6
  16. 5 : 3
  17. 1440
  18. 9 : 2
  19. 70
  20. Yes
  21. 3 : 4
  22. 5 : 9
  23. 8
  24. 7 : 9
  25. 9 : 5
  26. 5 : 2
  27. 81
  28. 90
  29. 1 : 6
  30. 21
  31. 384
  32. 1 : 9
  33. Yes
  34. Yes
  35. 2
  36. 3 : 4
  37. 5 : 3
  38. 70
  39. 7 : 4
  40. 600

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