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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 38 · 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.Write the ratio 12 : 3 in its simplest form. (a) 12 : 3 (b) 4 : 1 (c) 5 : 2 (d) 1 : 4
  2. 2.A bus goes 390 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  3. 3.A garden has 40 rose plants and 5 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 2 (b) 1 : 8 (c) 8 : 1 (d) 40 : 5
  4. 4.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  5. 5.A class has 45 boys and 54 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 5 (b) 45 : 54 (c) 6 : 7 (d) 5 : 6
  6. 6.A box has 2 red pens and 16 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 1 (b) 1 : 8 (c) 2 : 9 (d) 2 : 16
  7. 7.A library shelf has 20 storybooks and 25 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 4 (b) 20 : 25 (c) 5 : 6 (d) 4 : 5
  8. 8.Write the ratio 9 : 27 in its simplest form. (a) 2 : 4 (b) 9 : 27 (c) 3 : 1 (d) 1 : 3
  9. 9.A car goes 120 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  10. 10.Write the ratio 4 : 20 in its simplest form. (a) 4 : 20 (b) 2 : 6 (c) 5 : 1 (d) 1 : 5
  11. 11.₹550 is shared between Joseph and Farhan in the ratio 5 : 6. How many rupees does Farhan get?
  12. 12.2 : 3 = 12 : ?
  13. 13.3 : 4 = ? : 36
  14. 14.₹30 is shared between Dev and Karan in the ratio 1 : 2. How many rupees does Karan get?
  15. 15.If 4 chocolates cost ₹80, how many rupees do 10 chocolates cost?
  16. 16.If 3 pens cost ₹63, how many rupees do 12 pens cost?
  17. 17.A team has 18 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 18 : 30 (b) 4 : 6 (c) 5 : 3 (d) 3 : 5
  18. 18.Are 10, 14, 15 and 21 in proportion? (a) No (b) Yes
  19. 19.2 : 5 = ? : 40
  20. 20.6 : 7 = 42 : ?
  21. 21.Write the ratio 72 : 63 in its simplest form. (a) 8 : 7 (b) 9 : 8 (c) 7 : 8 (d) 72 : 63
  22. 22.If 4 mangoes cost ₹88, how many rupees do 3 mangoes cost?
  23. 23.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  24. 24.Are 20, 45, 8 and 20 in proportion? (a) Yes (b) No
  25. 25.A box has 54 red pens and 42 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 7 (b) 7 : 9 (c) 54 : 42 (d) 10 : 8
  26. 26.₹210 is shared between Meera and Rohan in the ratio 2 : 5. How many rupees does Meera get?
  27. 27.A garden has 8 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 2 (b) 3 : 4 (c) 2 : 3 (d) 8 : 12
  28. 28.Write the ratio 18 : 14 in its simplest form. (a) 9 : 7 (b) 18 : 14 (c) 7 : 9 (d) 10 : 8
  29. 29.₹1700 is shared between Gurpreet and Priya in the ratio 8 : 9. How many rupees does Priya get?
  30. 30.A box has 72 red pens and 32 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 72 : 32 (b) 10 : 5 (c) 4 : 9 (d) 9 : 4
  31. 31.Are 5, 15, 4 and 14 in proportion? (a) Yes (b) No
  32. 32.Are 10, 35, 14 and 51 in proportion? (a) Yes (b) No
  33. 33.Write the ratio 28 : 16 in its simplest form. (a) 8 : 5 (b) 28 : 16 (c) 7 : 4 (d) 4 : 7
  34. 34.₹1190 is shared between Vivaan and Aarav in the ratio 1 : 6. How many rupees does Aarav get?
  35. 35.Write the ratio 25 : 5 in its simplest form. (a) 25 : 5 (b) 6 : 2 (c) 5 : 1 (d) 1 : 5
  36. 36.A car goes 105 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  37. 37.Write the ratio 16 : 12 in its simplest form. (a) 16 : 12 (b) 4 : 3 (c) 3 : 4 (d) 5 : 4
  38. 38.A basket has 5 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 9 (b) 5 : 45 (c) 9 : 1 (d) 2 : 10
  39. 39.2 : 5 = 16 : ?
  40. 40.Are 12, 30, 16 and 40 in proportion? (a) No (b) Yes

Answer key

  1. 4 : 1
  2. 65
  3. 8 : 1
  4. 600
  5. 5 : 6
  6. 1 : 8
  7. 4 : 5
  8. 1 : 3
  9. 420
  10. 1 : 5
  11. 300
  12. 18
  13. 27
  14. 20
  15. 200
  16. 252
  17. 3 : 5
  18. Yes
  19. 16
  20. 49
  21. 8 : 7
  22. 66
  23. 455
  24. No
  25. 9 : 7
  26. 60
  27. 2 : 3
  28. 9 : 7
  29. 900
  30. 9 : 4
  31. No
  32. No
  33. 7 : 4
  34. 1020
  35. 5 : 1
  36. 35
  37. 4 : 3
  38. 1 : 9
  39. 40
  40. Yes

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