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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 210 · 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. 1.1 : 7 = 5 : ?
  2. 2.If 8 bus tickets cost ₹376, how many rupees do 11 bus tickets cost?
  3. 3.₹880 is shared between Karan and Tara in the ratio 1 : 7. How many rupees does Tara get?
  4. 4.A box has 35 red pens and 25 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 35 : 25 (b) 8 : 6 (c) 5 : 7 (d) 7 : 5
  5. 5.A team has 21 batters and 27 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 10 (b) 21 : 27 (c) 9 : 7 (d) 7 : 9
  6. 6.3 : 7 = ? : 63
  7. 7.Are 4, 16, 6 and 27 in proportion? (a) No (b) Yes
  8. 8.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  9. 9.If 3 chocolates cost ₹132, how many rupees do 12 chocolates cost?
  10. 10.Are 6, 42, 8 and 56 in proportion? (a) No (b) Yes
  11. 11.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  12. 12.Write the ratio 10 : 35 in its simplest form. (a) 7 : 2 (b) 10 : 35 (c) 3 : 8 (d) 2 : 7
  13. 13.Are 16, 18, 40 and 45 in proportion? (a) Yes (b) No
  14. 14.A class has 35 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 10 (b) 35 : 45 (c) 9 : 7 (d) 7 : 9
  15. 15.A scooter goes 330 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  16. 16.4 : 5 = ? : 15
  17. 17.₹180 is shared between Meera and Aarav in the ratio 1 : 8. How many rupees does Aarav get?
  18. 18.Write the ratio 14 : 7 in its simplest form. (a) 3 : 2 (b) 1 : 2 (c) 14 : 7 (d) 2 : 1
  19. 19.A bus goes 100 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  20. 20.Are 6, 30, 3 and 15 in proportion? (a) No (b) Yes
  21. 21.Are 2, 10, 4 and 22 in proportion? (a) No (b) Yes
  22. 22.A library shelf has 4 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 10 (b) 4 : 18 (c) 9 : 2 (d) 2 : 9
  23. 23.A box has 20 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 3 (b) 20 : 8 (c) 5 : 2 (d) 2 : 5
  24. 24.₹70 is shared between Aarav and Karan in the ratio 1 : 6. How many rupees does Karan get?
  25. 25.4 : 5 = 24 : ?
  26. 26.1 : 4 = ? : 40
  27. 27.A team has 4 batters and 2 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 2 (b) 3 : 2 (c) 4 : 2 (d) 2 : 1
  28. 28.Are 14, 16, 28 and 34 in proportion? (a) Yes (b) No
  29. 29.If 9 ice creams cost ₹477, how many rupees do 12 ice creams cost?
  30. 30.₹330 is shared between Zoya and Riya in the ratio 3 : 8. How many rupees does Zoya get?
  31. 31.5 : 8 = ? : 56
  32. 32.Are 4, 24, 7 and 42 in proportion? (a) No (b) Yes
  33. 33.Write the ratio 35 : 15 in its simplest form. (a) 7 : 3 (b) 3 : 7 (c) 35 : 15 (d) 8 : 4
  34. 34.A box has 12 red pens and 42 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 12 : 42 (b) 7 : 2 (c) 2 : 7 (d) 3 : 8
  35. 35.A box has 14 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 7 (b) 14 : 18 (c) 8 : 10 (d) 7 : 9
  36. 36.Write the ratio 63 : 49 in its simplest form. (a) 9 : 7 (b) 10 : 8 (c) 7 : 9 (d) 63 : 49
  37. 37.₹1560 is shared between Riya and Ananya in the ratio 6 : 7. How many rupees does Riya get?
  38. 38.A box has 21 red pens and 56 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 3 (b) 4 : 9 (c) 3 : 8 (d) 21 : 56
  39. 39.A scooter goes 200 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  40. 40.Write the ratio 9 : 63 in its simplest form. (a) 9 : 63 (b) 7 : 1 (c) 2 : 8 (d) 1 : 7

Answer key

  1. 35
  2. 517
  3. 770
  4. 7 : 5
  5. 7 : 9
  6. 27
  7. No
  8. 35
  9. 528
  10. Yes
  11. 140
  12. 2 : 7
  13. Yes
  14. 7 : 9
  15. 55
  16. 12
  17. 160
  18. 2 : 1
  19. 300
  20. Yes
  21. No
  22. 2 : 9
  23. 5 : 2
  24. 60
  25. 30
  26. 10
  27. 2 : 1
  28. No
  29. 636
  30. 90
  31. 35
  32. Yes
  33. 7 : 3
  34. 2 : 7
  35. 7 : 9
  36. 9 : 7
  37. 720
  38. 3 : 8
  39. 100
  40. 1 : 7

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