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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 62 · 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 16 : 2 in its simplest form. (a) 1 : 8 (b) 16 : 2 (c) 9 : 2 (d) 8 : 1
  2. 2.If 4 bus tickets cost ₹204, how many rupees do 2 bus tickets cost?
  3. 3.Write the ratio 27 : 45 in its simplest form. (a) 4 : 6 (b) 27 : 45 (c) 3 : 5 (d) 5 : 3
  4. 4.Write the ratio 4 : 20 in its simplest form. (a) 2 : 6 (b) 1 : 5 (c) 4 : 20 (d) 5 : 1
  5. 5.Are 10, 18, 40 and 72 in proportion? (a) No (b) Yes
  6. 6.If 4 ice creams cost ₹160, how many rupees do 2 ice creams cost?
  7. 7.Are 24, 42, 12 and 24 in proportion? (a) Yes (b) No
  8. 8.A box has 10 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 7 (b) 10 : 12 (c) 5 : 6 (d) 6 : 5
  9. 9.A scooter goes 135 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  10. 10.Are 16, 36, 28 and 63 in proportion? (a) No (b) Yes
  11. 11.Write the ratio 2 : 8 in its simplest form. (a) 2 : 8 (b) 1 : 4 (c) 2 : 5 (d) 4 : 1
  12. 12.Write the ratio 2 : 4 in its simplest form. (a) 2 : 3 (b) 2 : 4 (c) 1 : 2 (d) 2 : 1
  13. 13.₹1320 is shared between Sneha and Rahul in the ratio 3 : 8. How many rupees does Sneha get?
  14. 14.If 9 bus tickets cost ₹144, how many rupees do 4 bus tickets cost?
  15. 15.A class has 36 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 9 (b) 36 : 4 (c) 10 : 2 (d) 9 : 1
  16. 16.A bus goes 240 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  17. 17.A team has 15 batters and 25 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 6 (b) 3 : 5 (c) 5 : 3 (d) 15 : 25
  18. 18.Are 28, 36, 56 and 72 in proportion? (a) Yes (b) No
  19. 19.Write the ratio 20 : 4 in its simplest form. (a) 1 : 5 (b) 6 : 2 (c) 5 : 1 (d) 20 : 4
  20. 20.If 2 bus tickets cost ₹10, how many rupees do 11 bus tickets cost?
  21. 21.A car goes 180 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  22. 22.Are 4, 10, 8 and 21 in proportion? (a) Yes (b) No
  23. 23.A box has 2 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 6 (b) 3 : 1 (c) 2 : 4 (d) 1 : 3
  24. 24.Write the ratio 72 : 81 in its simplest form. (a) 8 : 9 (b) 9 : 8 (c) 9 : 10 (d) 72 : 81
  25. 25.7 : 9 = ? : 18
  26. 26.Are 8, 12, 16 and 24 in proportion? (a) No (b) Yes
  27. 27.A garden has 49 rose plants and 21 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 7 (b) 7 : 3 (c) 49 : 21 (d) 8 : 4
  28. 28.A basket has 18 mangoes and 81 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 2 (b) 3 : 10 (c) 18 : 81 (d) 2 : 9
  29. 29.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  30. 30.If 3 pens cost ₹87, how many rupees do 6 pens cost?
  31. 31.If 3 bus tickets cost ₹108, how many rupees do 10 bus tickets cost?
  32. 32.A library shelf has 12 storybooks and 16 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 5 (b) 12 : 16 (c) 3 : 4 (d) 4 : 3
  33. 33.If 2 notebooks cost ₹80, how many rupees do 3 notebooks cost?
  34. 34.₹700 is shared between Aditya and Rahul in the ratio 1 : 9. How many rupees does Rahul get?
  35. 35.Are 16, 28, 24 and 42 in proportion? (a) Yes (b) No
  36. 36.Write the ratio 36 : 27 in its simplest form. (a) 36 : 27 (b) 5 : 4 (c) 4 : 3 (d) 3 : 4
  37. 37.If 5 mangoes cost ₹35, how many rupees do 2 mangoes cost?
  38. 38.If 5 notebooks cost ₹195, how many rupees do 8 notebooks cost?
  39. 39.Are 12, 42, 14 and 49 in proportion? (a) No (b) Yes
  40. 40.A team has 3 batters and 27 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 9 (b) 3 : 27 (c) 9 : 1 (d) 2 : 10

Answer key

  1. 8 : 1
  2. 102
  3. 3 : 5
  4. 1 : 5
  5. Yes
  6. 80
  7. No
  8. 5 : 6
  9. 270
  10. Yes
  11. 1 : 4
  12. 1 : 2
  13. 360
  14. 64
  15. 9 : 1
  16. 80
  17. 3 : 5
  18. Yes
  19. 5 : 1
  20. 55
  21. 300
  22. No
  23. 1 : 3
  24. 8 : 9
  25. 14
  26. Yes
  27. 7 : 3
  28. 2 : 9
  29. 150
  30. 174
  31. 360
  32. 3 : 4
  33. 120
  34. 630
  35. Yes
  36. 4 : 3
  37. 14
  38. 312
  39. Yes
  40. 1 : 9

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