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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 161 · 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.A car goes 275 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  2. 2.A car goes 280 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  3. 3.If 9 notebooks cost ₹180, how many rupees do 4 notebooks cost?
  4. 4.Are 30, 36, 10 and 12 in proportion? (a) Yes (b) No
  5. 5.If 2 ice creams cost ₹84, how many rupees do 8 ice creams cost?
  6. 6.Write the ratio 32 : 20 in its simplest form. (a) 5 : 8 (b) 32 : 20 (c) 9 : 6 (d) 8 : 5
  7. 7.2 : 9 = ? : 18
  8. 8.2 : 5 = 8 : ?
  9. 9.A class has 32 boys and 40 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 4 (b) 32 : 40 (c) 4 : 5 (d) 5 : 6
  10. 10.Are 6, 10, 21 and 35 in proportion? (a) No (b) Yes
  11. 11.Write the ratio 6 : 10 in its simplest form. (a) 5 : 3 (b) 6 : 10 (c) 4 : 6 (d) 3 : 5
  12. 12.1 : 8 = 5 : ?
  13. 13.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  14. 14.Are 12, 32, 9 and 24 in proportion? (a) Yes (b) No
  15. 15.Write the ratio 6 : 12 in its simplest form. (a) 6 : 12 (b) 1 : 2 (c) 2 : 1 (d) 2 : 3
  16. 16.Write the ratio 40 : 5 in its simplest form. (a) 40 : 5 (b) 8 : 1 (c) 1 : 8 (d) 9 : 2
  17. 17.If 9 chocolates cost ₹189, how many rupees do 3 chocolates cost?
  18. 18.4 : 9 = ? : 27
  19. 19.4 : 5 = 32 : ?
  20. 20.Write the ratio 36 : 6 in its simplest form. (a) 6 : 1 (b) 36 : 6 (c) 1 : 6 (d) 7 : 2
  21. 21.Write the ratio 12 : 16 in its simplest form. (a) 12 : 16 (b) 3 : 4 (c) 4 : 3 (d) 4 : 5
  22. 22.Write the ratio 9 : 63 in its simplest form. (a) 2 : 8 (b) 7 : 1 (c) 9 : 63 (d) 1 : 7
  23. 23.1 : 7 = 8 : ?
  24. 24.A bus goes 150 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  25. 25.Are 8, 18, 24 and 55 in proportion? (a) No (b) Yes
  26. 26.If 8 ice creams cost ₹312, how many rupees do 4 ice creams cost?
  27. 27.If 6 bus tickets cost ₹156, how many rupees do 5 bus tickets cost?
  28. 28.If 8 bus tickets cost ₹440, how many rupees do 11 bus tickets cost?
  29. 29.8 : 9 = 32 : ?
  30. 30.Are 12, 15, 36 and 45 in proportion? (a) Yes (b) No
  31. 31.A bus goes 195 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  32. 32.Are 2, 10, 8 and 43 in proportion? (a) No (b) Yes
  33. 33.Are 6, 30, 3 and 15 in proportion? (a) No (b) Yes
  34. 34.₹1430 is shared between Kavya and Dev in the ratio 2 : 9. How many rupees does Kavya get?
  35. 35.If 7 notebooks cost ₹329, how many rupees do 2 notebooks cost?
  36. 36.A library shelf has 27 storybooks and 72 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 9 (b) 8 : 3 (c) 27 : 72 (d) 3 : 8
  37. 37.Write the ratio 6 : 54 in its simplest form. (a) 1 : 9 (b) 9 : 1 (c) 6 : 54 (d) 2 : 10
  38. 38.A basket has 14 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 2 (b) 8 : 3 (c) 14 : 4 (d) 2 : 7
  39. 39.Write the ratio 7 : 35 in its simplest form. (a) 1 : 5 (b) 5 : 1 (c) 7 : 35 (d) 2 : 6
  40. 40.A team has 81 batters and 9 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 81 : 9 (b) 9 : 1 (c) 1 : 9 (d) 10 : 2

Answer key

  1. 55
  2. 140
  3. 80
  4. Yes
  5. 336
  6. 8 : 5
  7. 4
  8. 20
  9. 4 : 5
  10. Yes
  11. 3 : 5
  12. 40
  13. 200
  14. Yes
  15. 1 : 2
  16. 8 : 1
  17. 63
  18. 12
  19. 40
  20. 6 : 1
  21. 3 : 4
  22. 1 : 7
  23. 56
  24. 225
  25. No
  26. 156
  27. 130
  28. 605
  29. 36
  30. Yes
  31. 260
  32. No
  33. Yes
  34. 260
  35. 94
  36. 3 : 8
  37. 1 : 9
  38. 7 : 2
  39. 1 : 5
  40. 9 : 1

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