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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 296 · 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.₹320 is shared between Farhan and Ishaan in the ratio 1 : 7. How many rupees does Farhan get?
  2. 2.2 : 7 = 8 : ?
  3. 3.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  4. 4.A car goes 320 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  5. 5.₹100 is shared between Gurpreet and Rohan in the ratio 2 : 3. How many rupees does Gurpreet get?
  6. 6.8 : 9 = ? : 36
  7. 7.A bus goes 225 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  8. 8.Write the ratio 30 : 42 in its simplest form. (a) 7 : 5 (b) 5 : 7 (c) 30 : 42 (d) 6 : 8
  9. 9.4 : 5 = ? : 50
  10. 10.A garden has 2 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 1 (b) 2 : 10 (c) 1 : 5 (d) 2 : 6
  11. 11.Write the ratio 81 : 45 in its simplest form. (a) 81 : 45 (b) 9 : 5 (c) 5 : 9 (d) 10 : 6
  12. 12.A team has 56 batters and 48 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 7 (b) 56 : 48 (c) 8 : 7 (d) 7 : 6
  13. 13.₹90 is shared between Ishaan and Pooja in the ratio 4 : 5. How many rupees does Ishaan get?
  14. 14.Write the ratio 40 : 64 in its simplest form. (a) 6 : 9 (b) 40 : 64 (c) 5 : 8 (d) 8 : 5
  15. 15.₹420 is shared between Manav and Riya in the ratio 1 : 2. How many rupees does Manav get?
  16. 16.₹1430 is shared between Gurpreet and Pooja in the ratio 4 : 9. How many rupees does Gurpreet get?
  17. 17.3 : 7 = 18 : ?
  18. 18.Write the ratio 8 : 16 in its simplest form. (a) 2 : 1 (b) 2 : 3 (c) 8 : 16 (d) 1 : 2
  19. 19.Are 21, 24, 14 and 16 in proportion? (a) No (b) Yes
  20. 20.A team has 10 batters and 6 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 4 (b) 3 : 5 (c) 10 : 6 (d) 5 : 3
  21. 21.2 : 3 = 12 : ?
  22. 22.If 4 bus tickets cost ₹96, how many rupees do 9 bus tickets cost?
  23. 23.A bus goes 420 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  24. 24.1 : 2 = 6 : ?
  25. 25.3 : 4 = ? : 40
  26. 26.Are 30, 42, 35 and 49 in proportion? (a) No (b) Yes
  27. 27.8 : 9 = 48 : ?
  28. 28.Are 28, 36, 35 and 47 in proportion? (a) Yes (b) No
  29. 29.Write the ratio 5 : 30 in its simplest form. (a) 5 : 30 (b) 2 : 7 (c) 6 : 1 (d) 1 : 6
  30. 30.A library shelf has 16 storybooks and 20 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 4 (b) 4 : 5 (c) 5 : 6 (d) 16 : 20
  31. 31.₹1200 is shared between Rohan and Rahul in the ratio 3 : 5. How many rupees does Rohan get?
  32. 32.A bus goes 280 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  33. 33.If 3 notebooks cost ₹165, how many rupees do 11 notebooks cost?
  34. 34.A box has 2 red pens and 10 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 6 (b) 1 : 5 (c) 5 : 1 (d) 2 : 10
  35. 35.₹1650 is shared between Aarav and Saanvi in the ratio 2 : 9. How many rupees does Saanvi get?
  36. 36.A bus goes 320 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  37. 37.A garden has 6 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 3 (b) 3 : 2 (c) 6 : 4 (d) 2 : 3
  38. 38.Write the ratio 9 : 27 in its simplest form. (a) 9 : 27 (b) 2 : 4 (c) 3 : 1 (d) 1 : 3
  39. 39.Write the ratio 24 : 30 in its simplest form. (a) 5 : 6 (b) 24 : 30 (c) 4 : 5 (d) 5 : 4
  40. 40.If 4 ice creams cost ₹184, how many rupees do 5 ice creams cost?

Answer key

  1. 40
  2. 28
  3. 135
  4. 640
  5. 40
  6. 32
  7. 375
  8. 5 : 7
  9. 40
  10. 1 : 5
  11. 9 : 5
  12. 7 : 6
  13. 40
  14. 5 : 8
  15. 140
  16. 440
  17. 42
  18. 1 : 2
  19. Yes
  20. 5 : 3
  21. 18
  22. 216
  23. 350
  24. 12
  25. 30
  26. Yes
  27. 54
  28. No
  29. 1 : 6
  30. 4 : 5
  31. 450
  32. 420
  33. 605
  34. 1 : 5
  35. 1350
  36. 160
  37. 3 : 2
  38. 1 : 3
  39. 4 : 5
  40. 230

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