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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 356 · 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.₹1690 is shared between Gurpreet and Lakshmi in the ratio 4 : 9. How many rupees does Lakshmi get?
  2. 2.Write the ratio 27 : 72 in its simplest form. (a) 4 : 9 (b) 3 : 8 (c) 27 : 72 (d) 8 : 3
  3. 3.2 : 9 = ? : 90
  4. 4.8 : 9 = 64 : ?
  5. 5.Are 6, 10, 18 and 32 in proportion? (a) No (b) Yes
  6. 6.1 : 2 = ? : 6
  7. 7.Are 4, 14, 16 and 59 in proportion? (a) Yes (b) No
  8. 8.1 : 5 = 3 : ?
  9. 9.If 6 ice creams cost ₹42, how many rupees do 4 ice creams cost?
  10. 10.Are 15, 25, 12 and 20 in proportion? (a) Yes (b) No
  11. 11.Are 48, 54, 32 and 36 in proportion? (a) No (b) Yes
  12. 12.2 : 3 = 16 : ?
  13. 13.Write the ratio 40 : 72 in its simplest form. (a) 9 : 5 (b) 6 : 10 (c) 5 : 9 (d) 40 : 72
  14. 14.A basket has 7 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 1 (b) 7 : 21 (c) 2 : 4 (d) 1 : 3
  15. 15.A bus goes 325 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  16. 16.A class has 24 boys and 64 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 3 (b) 4 : 9 (c) 24 : 64 (d) 3 : 8
  17. 17.If 4 pens cost ₹64, how many rupees do 6 pens cost?
  18. 18.Are 5, 20, 7 and 31 in proportion? (a) Yes (b) No
  19. 19.Write the ratio 20 : 35 in its simplest form. (a) 20 : 35 (b) 5 : 8 (c) 7 : 4 (d) 4 : 7
  20. 20.Are 15, 20, 6 and 8 in proportion? (a) No (b) Yes
  21. 21.A scooter goes 160 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  22. 22.3 : 7 = 24 : ?
  23. 23.If 4 mangoes cost ₹88, how many rupees do 2 mangoes cost?
  24. 24.If 9 bus tickets cost ₹495, how many rupees do 5 bus tickets cost?
  25. 25.Write the ratio 21 : 49 in its simplest form. (a) 21 : 49 (b) 7 : 3 (c) 4 : 8 (d) 3 : 7
  26. 26.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  27. 27.3 : 8 = 12 : ?
  28. 28.A train goes 80 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  29. 29.Write the ratio 12 : 8 in its simplest form. (a) 3 : 2 (b) 12 : 8 (c) 2 : 3 (d) 4 : 3
  30. 30.Write the ratio 6 : 8 in its simplest form. (a) 4 : 3 (b) 4 : 5 (c) 6 : 8 (d) 3 : 4
  31. 31.1 : 9 = ? : 36
  32. 32.If 9 chocolates cost ₹324, how many rupees do 11 chocolates cost?
  33. 33.Are 5, 20, 7 and 30 in proportion? (a) No (b) Yes
  34. 34.If 2 pens cost ₹38, how many rupees do 12 pens cost?
  35. 35.If 8 chocolates cost ₹120, how many rupees do 3 chocolates cost?
  36. 36.A team has 24 batters and 28 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 7 (b) 7 : 6 (c) 7 : 8 (d) 24 : 28
  37. 37.Are 10, 45, 6 and 27 in proportion? (a) Yes (b) No
  38. 38.Write the ratio 10 : 8 in its simplest form. (a) 4 : 5 (b) 6 : 5 (c) 10 : 8 (d) 5 : 4
  39. 39.A car goes 275 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  40. 40.A garden has 35 rose plants and 5 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 35 : 5 (b) 8 : 2 (c) 1 : 7 (d) 7 : 1

Answer key

  1. 1170
  2. 3 : 8
  3. 20
  4. 72
  5. No
  6. 3
  7. No
  8. 15
  9. 28
  10. Yes
  11. Yes
  12. 24
  13. 5 : 9
  14. 1 : 3
  15. 195
  16. 3 : 8
  17. 96
  18. No
  19. 4 : 7
  20. Yes
  21. 80
  22. 56
  23. 44
  24. 275
  25. 3 : 7
  26. 160
  27. 32
  28. 160
  29. 3 : 2
  30. 3 : 4
  31. 4
  32. 396
  33. No
  34. 228
  35. 45
  36. 6 : 7
  37. Yes
  38. 5 : 4
  39. 165
  40. 7 : 1

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