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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 85 · 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 8 : 14 in its simplest form. (a) 7 : 4 (b) 8 : 14 (c) 5 : 8 (d) 4 : 7
  2. 2.Are 4, 8, 3 and 9 in proportion? (a) No (b) Yes
  3. 3.If 9 bus tickets cost ₹450, how many rupees do 6 bus tickets cost?
  4. 4.A library shelf has 15 storybooks and 35 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 7 (b) 7 : 3 (c) 4 : 8 (d) 15 : 35
  5. 5.5 : 6 = ? : 12
  6. 6.5 : 9 = ? : 18
  7. 7.8 : 9 = ? : 81
  8. 8.A library shelf has 64 storybooks and 40 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 8 (b) 64 : 40 (c) 8 : 5 (d) 9 : 6
  9. 9.Write the ratio 18 : 27 in its simplest form. (a) 2 : 3 (b) 3 : 4 (c) 18 : 27 (d) 3 : 2
  10. 10.A car goes 325 km in 5 hours. At the same speed, how many km does it go in 7 hours?
  11. 11.4 : 5 = ? : 20
  12. 12.Write the ratio 18 : 2 in its simplest form. (a) 10 : 2 (b) 18 : 2 (c) 9 : 1 (d) 1 : 9
  13. 13.If 4 ice creams cost ₹20, how many rupees do 10 ice creams cost?
  14. 14.Are 30, 36, 35 and 42 in proportion? (a) Yes (b) No
  15. 15.A library shelf has 18 storybooks and 81 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 9 (b) 3 : 10 (c) 9 : 2 (d) 18 : 81
  16. 16.Write the ratio 36 : 42 in its simplest form. (a) 7 : 6 (b) 6 : 7 (c) 7 : 8 (d) 36 : 42
  17. 17.A basket has 81 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 9 (b) 9 : 5 (c) 81 : 45 (d) 10 : 6
  18. 18.If 3 mangoes cost ₹165, how many rupees do 6 mangoes cost?
  19. 19.If 9 pens cost ₹117, how many rupees do 5 pens cost?
  20. 20.A box has 14 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 5 (b) 4 : 7 (c) 7 : 4 (d) 14 : 8
  21. 21.A basket has 24 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 4 (b) 4 : 3 (c) 5 : 4 (d) 24 : 18
  22. 22.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  23. 23.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  24. 24.2 : 7 = ? : 42
  25. 25.A scooter goes 200 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  26. 26.Are 10, 14, 15 and 23 in proportion? (a) Yes (b) No
  27. 27.A box has 24 red pens and 56 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 3 (b) 24 : 56 (c) 3 : 7 (d) 4 : 8
  28. 28.A car goes 80 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  29. 29.₹640 is shared between Aditya and Manav in the ratio 1 : 3. How many rupees does Aditya get?
  30. 30.A scooter goes 270 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  31. 31.Are 10, 16, 35 and 56 in proportion? (a) No (b) Yes
  32. 32.A scooter goes 225 km in 5 hours. At the same speed, how many km does it go in 8 hours?
  33. 33.A bus goes 325 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  34. 34.5 : 8 = ? : 48
  35. 35.A garden has 24 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 6 (b) 6 : 1 (c) 24 : 4 (d) 7 : 2
  36. 36.4 : 7 = ? : 21
  37. 37.Write the ratio 16 : 36 in its simplest form. (a) 9 : 4 (b) 5 : 10 (c) 4 : 9 (d) 16 : 36
  38. 38.Are 6, 14, 15 and 37 in proportion? (a) No (b) Yes
  39. 39.A scooter goes 270 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  40. 40.Are 15, 35, 9 and 21 in proportion? (a) Yes (b) No

Answer key

  1. 4 : 7
  2. No
  3. 300
  4. 3 : 7
  5. 10
  6. 10
  7. 72
  8. 8 : 5
  9. 2 : 3
  10. 455
  11. 16
  12. 9 : 1
  13. 50
  14. Yes
  15. 2 : 9
  16. 6 : 7
  17. 9 : 5
  18. 330
  19. 65
  20. 7 : 4
  21. 4 : 3
  22. 120
  23. 280
  24. 12
  25. 120
  26. No
  27. 3 : 7
  28. 160
  29. 160
  30. 360
  31. Yes
  32. 360
  33. 65
  34. 30
  35. 6 : 1
  36. 12
  37. 4 : 9
  38. No
  39. 90
  40. Yes

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