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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 155 · 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.If 8 notebooks cost ₹152, how many rupees do 10 notebooks cost?
  2. 2.Write the ratio 3 : 9 in its simplest form. (a) 3 : 1 (b) 3 : 9 (c) 2 : 4 (d) 1 : 3
  3. 3.Write the ratio 10 : 25 in its simplest form. (a) 2 : 5 (b) 5 : 2 (c) 3 : 6 (d) 10 : 25
  4. 4.Write the ratio 4 : 6 in its simplest form. (a) 3 : 2 (b) 2 : 3 (c) 4 : 6 (d) 3 : 4
  5. 5.₹1210 is shared between Sneha and Riya in the ratio 3 : 8. How many rupees does Sneha get?
  6. 6.₹200 is shared between Manav and Lakshmi in the ratio 1 : 3. How many rupees does Manav get?
  7. 7.4 : 7 = ? : 21
  8. 8.A scooter goes 180 km in 4 hours. At the same speed, how many km does it go in 5 hours?
  9. 9.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  10. 10.Are 2, 18, 9 and 84 in proportion? (a) No (b) Yes
  11. 11.Are 5, 15, 2 and 9 in proportion? (a) Yes (b) No
  12. 12.₹840 is shared between Aditya and Nisha in the ratio 3 : 4. How many rupees does Nisha get?
  13. 13.A scooter goes 210 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  14. 14.A scooter goes 225 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  15. 15.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  16. 16.5 : 6 = ? : 60
  17. 17.1 : 2 = 2 : ?
  18. 18.Write the ratio 45 : 18 in its simplest form. (a) 45 : 18 (b) 5 : 2 (c) 6 : 3 (d) 2 : 5
  19. 19.A team has 25 batters and 15 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 25 : 15 (b) 3 : 5 (c) 6 : 4 (d) 5 : 3
  20. 20.A car goes 300 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  21. 21.Write the ratio 45 : 54 in its simplest form. (a) 6 : 7 (b) 6 : 5 (c) 5 : 6 (d) 45 : 54
  22. 22.A team has 36 batters and 9 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 36 : 9 (b) 5 : 2 (c) 1 : 4 (d) 4 : 1
  23. 23.A team has 6 batters and 36 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 6 (b) 6 : 36 (c) 2 : 7 (d) 6 : 1
  24. 24.1 : 5 = 10 : ?
  25. 25.Are 10, 16, 30 and 48 in proportion? (a) No (b) Yes
  26. 26.A class has 63 boys and 7 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 9 (b) 9 : 1 (c) 10 : 2 (d) 63 : 7
  27. 27.₹700 is shared between Arjun and Rohan in the ratio 2 : 5. How many rupees does Arjun get?
  28. 28.Are 6, 10, 12 and 21 in proportion? (a) Yes (b) No
  29. 29.A train goes 120 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  30. 30.A train goes 400 km in 5 hours. At the same speed, how many km does it go in 8 hours?
  31. 31.1 : 4 = ? : 12
  32. 32.Are 4, 6, 12 and 18 in proportion? (a) Yes (b) No
  33. 33.Write the ratio 14 : 63 in its simplest form. (a) 9 : 2 (b) 14 : 63 (c) 2 : 9 (d) 3 : 10
  34. 34.Are 10, 15, 16 and 27 in proportion? (a) Yes (b) No
  35. 35.2 : 5 = 10 : ?
  36. 36.A garden has 24 rose plants and 42 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 24 : 42 (b) 5 : 8 (c) 7 : 4 (d) 4 : 7
  37. 37.Are 2, 14, 4 and 28 in proportion? (a) Yes (b) No
  38. 38.A library shelf has 6 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 6 (b) 6 : 10 (c) 5 : 3 (d) 3 : 5
  39. 39.A basket has 15 mangoes and 9 apples. What is the ratio of mangoes to apples in its simplest form? (a) 15 : 9 (b) 6 : 4 (c) 3 : 5 (d) 5 : 3
  40. 40.A scooter goes 120 km in 4 hours. At the same speed, how many km does it go in 7 hours?

Answer key

  1. 190
  2. 1 : 3
  3. 2 : 5
  4. 2 : 3
  5. 330
  6. 50
  7. 12
  8. 225
  9. 320
  10. No
  11. No
  12. 480
  13. 140
  14. 135
  15. 245
  16. 50
  17. 4
  18. 5 : 2
  19. 5 : 3
  20. 120
  21. 5 : 6
  22. 4 : 1
  23. 1 : 6
  24. 50
  25. Yes
  26. 9 : 1
  27. 200
  28. No
  29. 60
  30. 640
  31. 3
  32. Yes
  33. 2 : 9
  34. No
  35. 25
  36. 4 : 7
  37. Yes
  38. 3 : 5
  39. 5 : 3
  40. 210

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