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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 420 · 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.

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  1. 1.A basket has 30 mangoes and 54 apples. What is the ratio of mangoes to apples in its simplest form? (a) 30 : 54 (b) 6 : 10 (c) 5 : 9 (d) 9 : 5
  2. 2.Are 18, 48, 27 and 72 in proportion? (a) Yes (b) No
  3. 3.Are 3, 12, 8 and 34 in proportion? (a) No (b) Yes
  4. 4.Are 48, 54, 40 and 45 in proportion? (a) No (b) Yes
  5. 5.Write the ratio 9 : 21 in its simplest form. (a) 4 : 8 (b) 3 : 7 (c) 7 : 3 (d) 9 : 21
  6. 6.1 : 9 = ? : 90
  7. 7.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  8. 8.Are 12, 54, 4 and 21 in proportion? (a) No (b) Yes
  9. 9.2 : 5 = ? : 40
  10. 10.₹440 is shared between Diya and Pooja in the ratio 1 : 3. How many rupees does Pooja get?
  11. 11.Are 5, 15, 3 and 10 in proportion? (a) No (b) Yes
  12. 12.1 : 8 = 8 : ?
  13. 13.1 : 2 = ? : 10
  14. 14.A basket has 18 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 18 : 8 (b) 9 : 4 (c) 4 : 9 (d) 10 : 5
  15. 15.Are 8, 36, 4 and 21 in proportion? (a) Yes (b) No
  16. 16.Write the ratio 18 : 3 in its simplest form. (a) 18 : 3 (b) 7 : 2 (c) 1 : 6 (d) 6 : 1
  17. 17.If 3 mangoes cost ₹114, how many rupees do 6 mangoes cost?
  18. 18.Are 9, 12, 21 and 28 in proportion? (a) No (b) Yes
  19. 19.A team has 10 batters and 25 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 2 (b) 3 : 6 (c) 2 : 5 (d) 10 : 25
  20. 20.Write the ratio 7 : 56 in its simplest form. (a) 8 : 1 (b) 2 : 9 (c) 7 : 56 (d) 1 : 8
  21. 21.A train goes 240 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  22. 22.Are 42, 54, 28 and 36 in proportion? (a) Yes (b) No
  23. 23.A class has 36 boys and 20 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 6 (b) 36 : 20 (c) 5 : 9 (d) 9 : 5
  24. 24.A train goes 100 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  25. 25.Write the ratio 45 : 40 in its simplest form. (a) 45 : 40 (b) 10 : 9 (c) 8 : 9 (d) 9 : 8
  26. 26.3 : 5 = 24 : ?
  27. 27.A scooter goes 210 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  28. 28.6 : 7 = 30 : ?
  29. 29.Write the ratio 35 : 21 in its simplest form. (a) 3 : 5 (b) 35 : 21 (c) 6 : 4 (d) 5 : 3
  30. 30.₹2080 is shared between Joseph and Vivaan in the ratio 6 : 7. How many rupees does Joseph get?
  31. 31.1 : 8 = 6 : ?
  32. 32.A class has 12 boys and 32 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 3 (b) 4 : 9 (c) 3 : 8 (d) 12 : 32
  33. 33.Write the ratio 49 : 14 in its simplest form. (a) 49 : 14 (b) 7 : 2 (c) 8 : 3 (d) 2 : 7
  34. 34.Are 5, 35, 6 and 45 in proportion? (a) No (b) Yes
  35. 35.Write the ratio 27 : 9 in its simplest form. (a) 3 : 1 (b) 27 : 9 (c) 1 : 3 (d) 4 : 2
  36. 36.₹2400 is shared between Zoya and Rahul in the ratio 7 : 8. How many rupees does Rahul get?
  37. 37.Write the ratio 36 : 63 in its simplest form. (a) 5 : 8 (b) 7 : 4 (c) 36 : 63 (d) 4 : 7
  38. 38.5 : 7 = ? : 35
  39. 39.Are 4, 8, 8 and 16 in proportion? (a) No (b) Yes
  40. 40.Write the ratio 24 : 27 in its simplest form. (a) 8 : 9 (b) 24 : 27 (c) 9 : 8 (d) 9 : 10

Answer key

  1. 5 : 9
  2. Yes
  3. No
  4. Yes
  5. 3 : 7
  6. 10
  7. 275
  8. No
  9. 16
  10. 330
  11. No
  12. 64
  13. 5
  14. 9 : 4
  15. No
  16. 6 : 1
  17. 228
  18. Yes
  19. 2 : 5
  20. 1 : 8
  21. 80
  22. Yes
  23. 9 : 5
  24. 50
  25. 9 : 8
  26. 40
  27. 280
  28. 35
  29. 5 : 3
  30. 960
  31. 48
  32. 3 : 8
  33. 7 : 2
  34. No
  35. 3 : 1
  36. 1280
  37. 4 : 7
  38. 25
  39. Yes
  40. 8 : 9

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