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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 212 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Write the ratio 28 : 7 in its simplest form. (a) 1 : 4 (b) 5 : 2 (c) 28 : 7 (d) 4 : 1
  2. 2.If 7 chocolates cost ₹63, how many rupees do 9 chocolates cost?
  3. 3.3 : 4 = ? : 36
  4. 4.If 2 mangoes cost ₹112, how many rupees do 9 mangoes cost?
  5. 5.Write the ratio 24 : 3 in its simplest form. (a) 8 : 1 (b) 24 : 3 (c) 1 : 8 (d) 9 : 2
  6. 6.A library shelf has 18 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 10 : 6 (b) 5 : 9 (c) 9 : 5 (d) 18 : 10
  7. 7.₹180 is shared between Farhan and Zoya in the ratio 2 : 7. How many rupees does Farhan get?
  8. 8.A bus goes 200 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  9. 9.3 : 8 = ? : 40
  10. 10.A library shelf has 2 storybooks and 16 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 1 (b) 1 : 8 (c) 2 : 16 (d) 2 : 9
  11. 11.₹2400 is shared between Lakshmi and Meera in the ratio 7 : 9. How many rupees does Meera get?
  12. 12.Are 6, 30, 9 and 46 in proportion? (a) Yes (b) No
  13. 13.Write the ratio 32 : 12 in its simplest form. (a) 32 : 12 (b) 8 : 3 (c) 3 : 8 (d) 9 : 4
  14. 14.A train goes 180 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  15. 15.1 : 8 = ? : 48
  16. 16.1 : 9 = ? : 54
  17. 17.A box has 8 red pens and 28 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 2 (b) 2 : 7 (c) 8 : 28 (d) 3 : 8
  18. 18.A car goes 210 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  19. 19.Are 20, 24, 15 and 18 in proportion? (a) No (b) Yes
  20. 20.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  21. 21.4 : 5 = 16 : ?
  22. 22.Write the ratio 3 : 21 in its simplest form. (a) 7 : 1 (b) 3 : 21 (c) 1 : 7 (d) 2 : 8
  23. 23.Are 4, 10, 6 and 17 in proportion? (a) Yes (b) No
  24. 24.A train goes 480 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  25. 25.7 : 9 = 14 : ?
  26. 26.If 9 mangoes cost ₹72, how many rupees do 2 mangoes cost?
  27. 27.₹1200 is shared between Aditya and Saanvi in the ratio 3 : 5. How many rupees does Aditya get?
  28. 28.A class has 3 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 2 (b) 2 : 1 (c) 2 : 3 (d) 3 : 6
  29. 29.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  30. 30.5 : 9 = 25 : ?
  31. 31.4 : 7 = 28 : ?
  32. 32.Write the ratio 12 : 27 in its simplest form. (a) 12 : 27 (b) 4 : 9 (c) 5 : 10 (d) 9 : 4
  33. 33.7 : 8 = ? : 40
  34. 34.1 : 3 = ? : 18
  35. 35.4 : 7 = 32 : ?
  36. 36.A library shelf has 18 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 18 : 15 (b) 7 : 6 (c) 5 : 6 (d) 6 : 5
  37. 37.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  38. 38.1 : 5 = 7 : ?
  39. 39.A bus goes 320 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  40. 40.Are 9, 15, 24 and 41 in proportion? (a) No (b) Yes

Answer key

  1. 4 : 1
  2. 81
  3. 27
  4. 504
  5. 8 : 1
  6. 9 : 5
  7. 40
  8. 240
  9. 15
  10. 1 : 8
  11. 1350
  12. No
  13. 8 : 3
  14. 270
  15. 6
  16. 6
  17. 2 : 7
  18. 140
  19. Yes
  20. 180
  21. 20
  22. 1 : 7
  23. No
  24. 160
  25. 18
  26. 16
  27. 450
  28. 1 : 2
  29. 270
  30. 45
  31. 49
  32. 4 : 9
  33. 35
  34. 6
  35. 56
  36. 6 : 5
  37. 225
  38. 35
  39. 80
  40. No

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