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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 221 · 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. 1.1 : 8 = 9 : ?
  2. 2.A box has 35 red pens and 15 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 7 (b) 35 : 15 (c) 8 : 4 (d) 7 : 3
  3. 3.A garden has 18 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 18 : 12 (b) 2 : 3 (c) 3 : 2 (d) 4 : 3
  4. 4.Write the ratio 40 : 15 in its simplest form. (a) 9 : 4 (b) 3 : 8 (c) 40 : 15 (d) 8 : 3
  5. 5.Write the ratio 8 : 32 in its simplest form. (a) 8 : 32 (b) 2 : 5 (c) 1 : 4 (d) 4 : 1
  6. 6.₹540 is shared between Rohan and Nisha in the ratio 1 : 5. How many rupees does Rohan get?
  7. 7.5 : 6 = ? : 12
  8. 8.If 4 chocolates cost ₹180, how many rupees do 2 chocolates cost?
  9. 9.Write the ratio 8 : 12 in its simplest form. (a) 8 : 12 (b) 3 : 2 (c) 2 : 3 (d) 3 : 4
  10. 10.Are 6, 14, 15 and 36 in proportion? (a) No (b) Yes
  11. 11.Write the ratio 56 : 35 in its simplest form. (a) 9 : 6 (b) 8 : 5 (c) 56 : 35 (d) 5 : 8
  12. 12.Write the ratio 10 : 45 in its simplest form. (a) 3 : 10 (b) 10 : 45 (c) 2 : 9 (d) 9 : 2
  13. 13.₹270 is shared between Joseph and Manav in the ratio 1 : 8. How many rupees does Joseph get?
  14. 14.A bus goes 240 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  15. 15.₹1400 is shared between Lakshmi and Arjun in the ratio 1 : 6. How many rupees does Arjun get?
  16. 16.A class has 28 boys and 7 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 4 (b) 28 : 7 (c) 5 : 2 (d) 4 : 1
  17. 17.Write the ratio 21 : 7 in its simplest form. (a) 21 : 7 (b) 4 : 2 (c) 3 : 1 (d) 1 : 3
  18. 18.Write the ratio 21 : 9 in its simplest form. (a) 3 : 7 (b) 21 : 9 (c) 7 : 3 (d) 8 : 4
  19. 19.If 2 notebooks cost ₹34, how many rupees do 10 notebooks cost?
  20. 20.Are 20, 25, 32 and 40 in proportion? (a) Yes (b) No
  21. 21.Write the ratio 42 : 36 in its simplest form. (a) 42 : 36 (b) 7 : 6 (c) 8 : 7 (d) 6 : 7
  22. 22.A basket has 9 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 6 (b) 9 : 45 (c) 5 : 1 (d) 1 : 5
  23. 23.Write the ratio 72 : 32 in its simplest form. (a) 9 : 4 (b) 72 : 32 (c) 10 : 5 (d) 4 : 9
  24. 24.A basket has 20 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 2 (b) 1 : 5 (c) 5 : 1 (d) 20 : 4
  25. 25.2 : 9 = ? : 72
  26. 26.Are 2, 4, 3 and 6 in proportion? (a) No (b) Yes
  27. 27.Write the ratio 35 : 45 in its simplest form. (a) 9 : 7 (b) 35 : 45 (c) 8 : 10 (d) 7 : 9
  28. 28.Are 6, 27, 16 and 74 in proportion? (a) Yes (b) No
  29. 29.3 : 4 = 18 : ?
  30. 30.A team has 36 batters and 27 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 3 (b) 36 : 27 (c) 3 : 4 (d) 5 : 4
  31. 31.A team has 49 batters and 28 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 7 (b) 8 : 5 (c) 7 : 4 (d) 49 : 28
  32. 32.₹2250 is shared between Arjun and Priya in the ratio 7 : 8. How many rupees does Arjun get?
  33. 33.Are 3, 9, 5 and 15 in proportion? (a) No (b) Yes
  34. 34.₹220 is shared between Riya and Karan in the ratio 4 : 7. How many rupees does Riya get?
  35. 35.Are 30, 35, 42 and 49 in proportion? (a) No (b) Yes
  36. 36.Are 6, 48, 4 and 32 in proportion? (a) No (b) Yes
  37. 37.Are 30, 35, 18 and 23 in proportion? (a) No (b) Yes
  38. 38.A class has 8 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 10 (b) 9 : 2 (c) 8 : 36 (d) 2 : 9
  39. 39.If 2 chocolates cost ₹82, how many rupees do 9 chocolates cost?
  40. 40.A scooter goes 140 km in 4 hours. At the same speed, how many km does it go in 1 hour?

Answer key

  1. 72
  2. 7 : 3
  3. 3 : 2
  4. 8 : 3
  5. 1 : 4
  6. 90
  7. 10
  8. 90
  9. 2 : 3
  10. No
  11. 8 : 5
  12. 2 : 9
  13. 30
  14. 360
  15. 1200
  16. 4 : 1
  17. 3 : 1
  18. 7 : 3
  19. 170
  20. Yes
  21. 7 : 6
  22. 1 : 5
  23. 9 : 4
  24. 5 : 1
  25. 16
  26. Yes
  27. 7 : 9
  28. No
  29. 24
  30. 4 : 3
  31. 7 : 4
  32. 1050
  33. Yes
  34. 80
  35. Yes
  36. Yes
  37. No
  38. 2 : 9
  39. 369
  40. 35

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