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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 81 · 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.₹1400 is shared between Kabir and Dev in the ratio 1 : 6. How many rupees does Kabir get?
  2. 2.3 : 4 = ? : 36
  3. 3.1 : 9 = 4 : ?
  4. 4.A bus goes 300 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  5. 5.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  6. 6.Write the ratio 40 : 5 in its simplest form. (a) 1 : 8 (b) 9 : 2 (c) 40 : 5 (d) 8 : 1
  7. 7.3 : 5 = ? : 15
  8. 8.2 : 7 = 20 : ?
  9. 9.Are 30, 54, 10 and 19 in proportion? (a) Yes (b) No
  10. 10.Are 35, 40, 21 and 24 in proportion? (a) No (b) Yes
  11. 11.If 9 ice creams cost ₹72, how many rupees do 10 ice creams cost?
  12. 12.7 : 8 = 49 : ?
  13. 13.A basket has 25 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 25 : 15 (b) 5 : 3 (c) 6 : 4 (d) 3 : 5
  14. 14.If 4 notebooks cost ₹36, how many rupees do 5 notebooks cost?
  15. 15.Write the ratio 63 : 56 in its simplest form. (a) 9 : 8 (b) 63 : 56 (c) 10 : 9 (d) 8 : 9
  16. 16.A class has 12 boys and 15 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 4 (b) 12 : 15 (c) 5 : 6 (d) 4 : 5
  17. 17.If 8 ice creams cost ₹376, how many rupees do 9 ice creams cost?
  18. 18.Write the ratio 48 : 18 in its simplest form. (a) 48 : 18 (b) 9 : 4 (c) 8 : 3 (d) 3 : 8
  19. 19.₹1620 is shared between Zoya and Kabir in the ratio 1 : 8. How many rupees does Kabir get?
  20. 20.Are 10, 15, 18 and 30 in proportion? (a) Yes (b) No
  21. 21.Are 5, 15, 2 and 7 in proportion? (a) No (b) Yes
  22. 22.Write the ratio 14 : 4 in its simplest form. (a) 8 : 3 (b) 14 : 4 (c) 7 : 2 (d) 2 : 7
  23. 23.₹2080 is shared between Saanvi and Ishaan in the ratio 4 : 9. How many rupees does Saanvi get?
  24. 24.A team has 63 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 7 (b) 8 : 3 (c) 7 : 2 (d) 63 : 18
  25. 25.₹300 is shared between Rohan and Kabir in the ratio 2 : 3. How many rupees does Rohan get?
  26. 26.A class has 35 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 35 : 28 (b) 5 : 4 (c) 6 : 5 (d) 4 : 5
  27. 27.A car goes 180 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  28. 28.5 : 8 = 30 : ?
  29. 29.1 : 4 = 5 : ?
  30. 30.1 : 5 = 2 : ?
  31. 31.₹420 is shared between Ishaan and Kavya in the ratio 5 : 9. How many rupees does Ishaan get?
  32. 32.Write the ratio 27 : 15 in its simplest form. (a) 5 : 9 (b) 10 : 6 (c) 27 : 15 (d) 9 : 5
  33. 33.Write the ratio 27 : 72 in its simplest form. (a) 4 : 9 (b) 3 : 8 (c) 27 : 72 (d) 8 : 3
  34. 34.A basket has 35 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 5 (b) 35 : 14 (c) 6 : 3 (d) 5 : 2
  35. 35.Write the ratio 30 : 25 in its simplest form. (a) 6 : 5 (b) 30 : 25 (c) 5 : 6 (d) 7 : 6
  36. 36.A train goes 180 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  37. 37.A library shelf has 64 storybooks and 56 science books. What is the ratio of storybooks to science books in its simplest form? (a) 64 : 56 (b) 7 : 8 (c) 9 : 8 (d) 8 : 7
  38. 38.1 : 9 = ? : 18
  39. 39.If 2 bus tickets cost ₹90, how many rupees do 12 bus tickets cost?
  40. 40.A class has 5 boys and 35 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 8 (b) 5 : 35 (c) 1 : 7 (d) 7 : 1

Answer key

  1. 200
  2. 27
  3. 36
  4. 120
  5. 70
  6. 8 : 1
  7. 9
  8. 70
  9. No
  10. Yes
  11. 80
  12. 56
  13. 5 : 3
  14. 45
  15. 9 : 8
  16. 4 : 5
  17. 423
  18. 8 : 3
  19. 1440
  20. No
  21. No
  22. 7 : 2
  23. 640
  24. 7 : 2
  25. 120
  26. 5 : 4
  27. 240
  28. 48
  29. 20
  30. 10
  31. 150
  32. 9 : 5
  33. 3 : 8
  34. 5 : 2
  35. 6 : 5
  36. 315
  37. 8 : 7
  38. 2
  39. 540
  40. 1 : 7

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