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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 377 · 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. 1.3 : 8 = 15 : ?
  2. 2.Write the ratio 16 : 20 in its simplest form. (a) 5 : 6 (b) 4 : 5 (c) 5 : 4 (d) 16 : 20
  3. 3.A train goes 180 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  4. 4.Are 10, 25, 4 and 11 in proportion? (a) No (b) Yes
  5. 5.Are 15, 20, 12 and 16 in proportion? (a) Yes (b) No
  6. 6.If 7 mangoes cost ₹266, how many rupees do 11 mangoes cost?
  7. 7.4 : 5 = ? : 45
  8. 8.If 8 pens cost ₹288, how many rupees do 9 pens cost?
  9. 9.2 : 7 = 6 : ?
  10. 10.1 : 9 = ? : 81
  11. 11.Are 8, 20, 18 and 45 in proportion? (a) Yes (b) No
  12. 12.A library shelf has 18 storybooks and 81 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 2 (b) 3 : 10 (c) 2 : 9 (d) 18 : 81
  13. 13.Write the ratio 21 : 14 in its simplest form. (a) 2 : 3 (b) 4 : 3 (c) 21 : 14 (d) 3 : 2
  14. 14.If 8 pens cost ₹56, how many rupees do 12 pens cost?
  15. 15.If 6 chocolates cost ₹174, how many rupees do 4 chocolates cost?
  16. 16.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  17. 17.A scooter goes 220 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  18. 18.If 3 bus tickets cost ₹84, how many rupees do 11 bus tickets cost?
  19. 19.A scooter goes 220 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  20. 20.7 : 8 = 56 : ?
  21. 21.Are 4, 16, 9 and 36 in proportion? (a) Yes (b) No
  22. 22.Write the ratio 2 : 6 in its simplest form. (a) 1 : 3 (b) 2 : 4 (c) 3 : 1 (d) 2 : 6
  23. 23.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  24. 24.Write the ratio 8 : 72 in its simplest form. (a) 9 : 1 (b) 2 : 10 (c) 8 : 72 (d) 1 : 9
  25. 25.₹360 is shared between Rohan and Dev in the ratio 1 : 3. How many rupees does Rohan get?
  26. 26.If 6 chocolates cost ₹162, how many rupees do 3 chocolates cost?
  27. 27.If 5 pens cost ₹155, how many rupees do 8 pens cost?
  28. 28.₹3230 is shared between Priya and Zoya in the ratio 8 : 9. How many rupees does Priya get?
  29. 29.Are 4, 8, 2 and 4 in proportion? (a) No (b) Yes
  30. 30.Are 20, 45, 32 and 75 in proportion? (a) No (b) Yes
  31. 31.Write the ratio 18 : 10 in its simplest form. (a) 5 : 9 (b) 10 : 6 (c) 18 : 10 (d) 9 : 5
  32. 32.4 : 9 = ? : 63
  33. 33.A car goes 120 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  34. 34.6 : 7 = ? : 14
  35. 35.A scooter goes 450 km in 6 hours. At the same speed, how many km does it go in 7 hours?
  36. 36.Are 6, 16, 21 and 56 in proportion? (a) Yes (b) No
  37. 37.5 : 8 = ? : 48
  38. 38.A scooter goes 375 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  39. 39.1 : 6 = 3 : ?
  40. 40.Write the ratio 8 : 2 in its simplest form. (a) 8 : 2 (b) 5 : 2 (c) 1 : 4 (d) 4 : 1

Answer key

  1. 40
  2. 4 : 5
  3. 240
  4. No
  5. Yes
  6. 418
  7. 36
  8. 324
  9. 21
  10. 9
  11. Yes
  12. 2 : 9
  13. 3 : 2
  14. 84
  15. 116
  16. 225
  17. 385
  18. 308
  19. 330
  20. 64
  21. Yes
  22. 1 : 3
  23. 80
  24. 1 : 9
  25. 90
  26. 81
  27. 248
  28. 1520
  29. Yes
  30. No
  31. 9 : 5
  32. 28
  33. 40
  34. 12
  35. 525
  36. Yes
  37. 30
  38. 450
  39. 18
  40. 4 : 1

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