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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 160 · 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 class has 18 boys and 10 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 5 (b) 10 : 6 (c) 5 : 9 (d) 18 : 10
  2. 2.A bus goes 150 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  3. 3.Are 24, 28, 18 and 23 in proportion? (a) Yes (b) No
  4. 4.A box has 6 red pens and 27 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 9 (b) 9 : 2 (c) 6 : 27 (d) 3 : 10
  5. 5.A library shelf has 49 storybooks and 7 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 2 (b) 7 : 1 (c) 1 : 7 (d) 49 : 7
  6. 6.Write the ratio 6 : 54 in its simplest form. (a) 9 : 1 (b) 6 : 54 (c) 1 : 9 (d) 2 : 10
  7. 7.3 : 4 = ? : 40
  8. 8.A car goes 375 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  9. 9.Write the ratio 72 : 45 in its simplest form. (a) 9 : 6 (b) 5 : 8 (c) 72 : 45 (d) 8 : 5
  10. 10.₹2040 is shared between Aditya and Karan in the ratio 8 : 9. How many rupees does Karan get?
  11. 11.A class has 6 boys and 2 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 2 (b) 1 : 3 (c) 4 : 2 (d) 3 : 1
  12. 12.A basket has 27 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 7 (b) 27 : 21 (c) 10 : 8 (d) 7 : 9
  13. 13.A team has 14 batters and 16 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 14 : 16 (b) 7 : 8 (c) 8 : 7 (d) 8 : 9
  14. 14.If 2 bus tickets cost ₹102, how many rupees do 6 bus tickets cost?
  15. 15.A train goes 140 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  16. 16.Write the ratio 40 : 45 in its simplest form. (a) 40 : 45 (b) 9 : 8 (c) 8 : 9 (d) 9 : 10
  17. 17.If 2 ice creams cost ₹110, how many rupees do 7 ice creams cost?
  18. 18.₹1650 is shared between Manav and Kavya in the ratio 7 : 8. How many rupees does Kavya get?
  19. 19.A box has 25 red pens and 15 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 25 : 15 (b) 5 : 3 (c) 3 : 5 (d) 6 : 4
  20. 20.Write the ratio 9 : 18 in its simplest form. (a) 2 : 1 (b) 9 : 18 (c) 2 : 3 (d) 1 : 2
  21. 21.3 : 8 = 6 : ?
  22. 22.Write the ratio 18 : 42 in its simplest form. (a) 4 : 8 (b) 7 : 3 (c) 18 : 42 (d) 3 : 7
  23. 23.A team has 2 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 1 (b) 2 : 18 (c) 2 : 10 (d) 1 : 9
  24. 24.A box has 9 red pens and 27 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 27 (b) 2 : 4 (c) 1 : 3 (d) 3 : 1
  25. 25.A team has 9 batters and 81 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 9 (b) 9 : 81 (c) 2 : 10 (d) 9 : 1
  26. 26.Write the ratio 2 : 10 in its simplest form. (a) 2 : 10 (b) 5 : 1 (c) 2 : 6 (d) 1 : 5
  27. 27.If 4 notebooks cost ₹100, how many rupees do 10 notebooks cost?
  28. 28.1 : 9 = ? : 18
  29. 29.A basket has 40 mangoes and 48 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 7 (b) 6 : 5 (c) 40 : 48 (d) 5 : 6
  30. 30.A car goes 120 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  31. 31.A scooter goes 270 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  32. 32.3 : 7 = 18 : ?
  33. 33.A team has 28 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 7 (b) 8 : 4 (c) 28 : 12 (d) 7 : 3
  34. 34.Write the ratio 64 : 8 in its simplest form. (a) 64 : 8 (b) 9 : 2 (c) 8 : 1 (d) 1 : 8
  35. 35.Are 8, 36, 14 and 63 in proportion? (a) Yes (b) No
  36. 36.If 8 mangoes cost ₹152, how many rupees do 4 mangoes cost?
  37. 37.₹2400 is shared between Saanvi and Rahul in the ratio 5 : 7. How many rupees does Rahul get?
  38. 38.A garden has 4 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 3 (b) 2 : 4 (c) 4 : 12 (d) 3 : 1
  39. 39.Write the ratio 48 : 42 in its simplest form. (a) 48 : 42 (b) 9 : 8 (c) 8 : 7 (d) 7 : 8
  40. 40.Are 18, 21, 12 and 14 in proportion? (a) No (b) Yes

Answer key

  1. 9 : 5
  2. 350
  3. No
  4. 2 : 9
  5. 7 : 1
  6. 1 : 9
  7. 30
  8. 450
  9. 8 : 5
  10. 1080
  11. 3 : 1
  12. 9 : 7
  13. 7 : 8
  14. 306
  15. 350
  16. 8 : 9
  17. 385
  18. 880
  19. 5 : 3
  20. 1 : 2
  21. 16
  22. 3 : 7
  23. 1 : 9
  24. 1 : 3
  25. 1 : 9
  26. 1 : 5
  27. 250
  28. 2
  29. 5 : 6
  30. 320
  31. 45
  32. 42
  33. 7 : 3
  34. 8 : 1
  35. Yes
  36. 76
  37. 1400
  38. 1 : 3
  39. 8 : 7
  40. Yes

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