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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 388 · 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 32 : 4 in its simplest form. (a) 8 : 1 (b) 9 : 2 (c) 32 : 4 (d) 1 : 8
  2. 2.If 9 bus tickets cost ₹144, how many rupees do 5 bus tickets cost?
  3. 3.If 3 pens cost ₹30, how many rupees do 10 pens cost?
  4. 4.₹880 is shared between Farhan and Arjun in the ratio 3 : 5. How many rupees does Arjun get?
  5. 5.A garden has 48 rose plants and 40 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 48 : 40 (b) 5 : 6 (c) 7 : 6 (d) 6 : 5
  6. 6.Write the ratio 3 : 12 in its simplest form. (a) 1 : 4 (b) 2 : 5 (c) 4 : 1 (d) 3 : 12
  7. 7.If 9 notebooks cost ₹108, how many rupees do 12 notebooks cost?
  8. 8.Write the ratio 4 : 36 in its simplest form. (a) 1 : 9 (b) 2 : 10 (c) 4 : 36 (d) 9 : 1
  9. 9.A class has 8 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 2 (b) 8 : 4 (c) 2 : 1 (d) 1 : 2
  10. 10.Write the ratio 32 : 20 in its simplest form. (a) 5 : 8 (b) 9 : 6 (c) 8 : 5 (d) 32 : 20
  11. 11.Write the ratio 5 : 10 in its simplest form. (a) 5 : 10 (b) 2 : 1 (c) 2 : 3 (d) 1 : 2
  12. 12.If 4 notebooks cost ₹220, how many rupees do 7 notebooks cost?
  13. 13.Are 4, 28, 3 and 23 in proportion? (a) Yes (b) No
  14. 14.Are 42, 54, 14 and 19 in proportion? (a) Yes (b) No
  15. 15.₹3060 is shared between Gurpreet and Tara in the ratio 8 : 9. How many rupees does Gurpreet get?
  16. 16.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  17. 17.A bus goes 390 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  18. 18.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  19. 19.Write the ratio 12 : 20 in its simplest form. (a) 5 : 3 (b) 12 : 20 (c) 3 : 5 (d) 4 : 6
  20. 20.Write the ratio 15 : 40 in its simplest form. (a) 8 : 3 (b) 15 : 40 (c) 4 : 9 (d) 3 : 8
  21. 21.Write the ratio 10 : 14 in its simplest form. (a) 6 : 8 (b) 7 : 5 (c) 5 : 7 (d) 10 : 14
  22. 22.A garden has 16 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 16 : 12 (b) 5 : 4 (c) 4 : 3 (d) 3 : 4
  23. 23.2 : 3 = ? : 6
  24. 24.A box has 6 red pens and 48 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 9 (b) 6 : 48 (c) 1 : 8 (d) 8 : 1
  25. 25.A bus goes 90 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  26. 26.Are 2, 16, 9 and 72 in proportion? (a) No (b) Yes
  27. 27.₹2600 is shared between Rohan and Nisha in the ratio 5 : 8. How many rupees does Nisha get?
  28. 28.A box has 30 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 30 : 6 (b) 5 : 1 (c) 1 : 5 (d) 6 : 2
  29. 29.A class has 25 boys and 5 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 5 (b) 5 : 1 (c) 25 : 5 (d) 6 : 2
  30. 30.Write the ratio 12 : 18 in its simplest form. (a) 3 : 4 (b) 12 : 18 (c) 2 : 3 (d) 3 : 2
  31. 31.A basket has 21 mangoes and 28 apples. What is the ratio of mangoes to apples in its simplest form? (a) 21 : 28 (b) 4 : 5 (c) 4 : 3 (d) 3 : 4
  32. 32.Write the ratio 24 : 15 in its simplest form. (a) 24 : 15 (b) 8 : 5 (c) 9 : 6 (d) 5 : 8
  33. 33.Write the ratio 24 : 27 in its simplest form. (a) 8 : 9 (b) 9 : 8 (c) 24 : 27 (d) 9 : 10
  34. 34.A library shelf has 16 storybooks and 72 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 9 (b) 16 : 72 (c) 3 : 10 (d) 9 : 2
  35. 35.A car goes 180 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  36. 36.If 6 notebooks cost ₹132, how many rupees do 5 notebooks cost?
  37. 37.If 5 mangoes cost ₹275, how many rupees do 11 mangoes cost?
  38. 38.If 8 ice creams cost ₹56, how many rupees do 6 ice creams cost?
  39. 39.Write the ratio 6 : 10 in its simplest form. (a) 3 : 5 (b) 6 : 10 (c) 4 : 6 (d) 5 : 3
  40. 40.₹480 is shared between Gurpreet and Diya in the ratio 1 : 7. How many rupees does Diya get?

Answer key

  1. 8 : 1
  2. 80
  3. 100
  4. 550
  5. 6 : 5
  6. 1 : 4
  7. 144
  8. 1 : 9
  9. 2 : 1
  10. 8 : 5
  11. 1 : 2
  12. 385
  13. No
  14. No
  15. 1440
  16. 180
  17. 195
  18. 70
  19. 3 : 5
  20. 3 : 8
  21. 5 : 7
  22. 4 : 3
  23. 4
  24. 1 : 8
  25. 30
  26. Yes
  27. 1600
  28. 5 : 1
  29. 5 : 1
  30. 2 : 3
  31. 3 : 4
  32. 8 : 5
  33. 8 : 9
  34. 2 : 9
  35. 300
  36. 110
  37. 605
  38. 42
  39. 3 : 5
  40. 420

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