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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 422 · 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.If 7 pens cost ₹112, how many rupees do 9 pens cost?
  2. 2.1 : 8 = ? : 16
  3. 3.A library shelf has 10 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 2 (b) 10 : 15 (c) 3 : 4 (d) 2 : 3
  4. 4.If 6 chocolates cost ₹216, how many rupees do 11 chocolates cost?
  5. 5.A class has 21 boys and 3 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 1 (b) 8 : 2 (c) 21 : 3 (d) 1 : 7
  6. 6.A team has 9 batters and 63 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 63 (b) 2 : 8 (c) 7 : 1 (d) 1 : 7
  7. 7.Are 2, 14, 3 and 22 in proportion? (a) Yes (b) No
  8. 8.A car goes 225 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  9. 9.Write the ratio 6 : 30 in its simplest form. (a) 2 : 6 (b) 1 : 5 (c) 5 : 1 (d) 6 : 30
  10. 10.Are 20, 24, 30 and 39 in proportion? (a) No (b) Yes
  11. 11.If 2 notebooks cost ₹82, how many rupees do 11 notebooks cost?
  12. 12.If 3 mangoes cost ₹108, how many rupees do 5 mangoes cost?
  13. 13.A class has 7 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 2 (b) 2 : 3 (c) 7 : 14 (d) 2 : 1
  14. 14.Are 16, 18, 56 and 64 in proportion? (a) Yes (b) No
  15. 15.A basket has 18 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 6 (b) 5 : 2 (c) 2 : 5 (d) 18 : 45
  16. 16.₹1650 is shared between Riya and Rahul in the ratio 7 : 8. How many rupees does Rahul get?
  17. 17.If 8 ice creams cost ₹376, how many rupees do 12 ice creams cost?
  18. 18.₹2800 is shared between Aditya and Ananya in the ratio 5 : 9. How many rupees does Aditya get?
  19. 19.If 2 chocolates cost ₹84, how many rupees do 8 chocolates cost?
  20. 20.Write the ratio 63 : 27 in its simplest form. (a) 8 : 4 (b) 3 : 7 (c) 63 : 27 (d) 7 : 3
  21. 21.₹100 is shared between Ananya and Arjun in the ratio 2 : 3. How many rupees does Ananya get?
  22. 22.Write the ratio 7 : 35 in its simplest form. (a) 5 : 1 (b) 1 : 5 (c) 2 : 6 (d) 7 : 35
  23. 23.Write the ratio 12 : 10 in its simplest form. (a) 6 : 5 (b) 7 : 6 (c) 12 : 10 (d) 5 : 6
  24. 24.Write the ratio 15 : 21 in its simplest form. (a) 15 : 21 (b) 6 : 8 (c) 5 : 7 (d) 7 : 5
  25. 25.If 9 mangoes cost ₹72, how many rupees do 12 mangoes cost?
  26. 26.Write the ratio 40 : 32 in its simplest form. (a) 6 : 5 (b) 4 : 5 (c) 40 : 32 (d) 5 : 4
  27. 27.Are 20, 45, 16 and 36 in proportion? (a) Yes (b) No
  28. 28.A team has 18 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 3 (b) 3 : 2 (c) 2 : 3 (d) 18 : 12
  29. 29.Are 2, 4, 5 and 12 in proportion? (a) Yes (b) No
  30. 30.A team has 36 batters and 63 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 8 (b) 4 : 7 (c) 7 : 4 (d) 36 : 63
  31. 31.Are 5, 45, 6 and 56 in proportion? (a) No (b) Yes
  32. 32.₹1040 is shared between Riya and Kabir in the ratio 1 : 7. How many rupees does Riya get?
  33. 33.₹320 is shared between Ananya and Gurpreet in the ratio 7 : 9. How many rupees does Gurpreet get?
  34. 34.A bus goes 180 km in 4 hours. At the same speed, how many km does it go in 5 hours?
  35. 35.Write the ratio 28 : 63 in its simplest form. (a) 4 : 9 (b) 28 : 63 (c) 9 : 4 (d) 5 : 10
  36. 36.4 : 7 = 8 : ?
  37. 37.Are 10, 35, 18 and 64 in proportion? (a) No (b) Yes
  38. 38.A box has 18 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 18 : 12 (b) 3 : 2 (c) 4 : 3 (d) 2 : 3
  39. 39.6 : 7 = ? : 49
  40. 40.If 5 chocolates cost ₹85, how many rupees do 11 chocolates cost?

Answer key

  1. 144
  2. 2
  3. 2 : 3
  4. 396
  5. 7 : 1
  6. 1 : 7
  7. No
  8. 180
  9. 1 : 5
  10. No
  11. 451
  12. 180
  13. 1 : 2
  14. No
  15. 2 : 5
  16. 880
  17. 564
  18. 1000
  19. 336
  20. 7 : 3
  21. 40
  22. 1 : 5
  23. 6 : 5
  24. 5 : 7
  25. 96
  26. 5 : 4
  27. Yes
  28. 3 : 2
  29. No
  30. 4 : 7
  31. No
  32. 130
  33. 180
  34. 225
  35. 4 : 9
  36. 14
  37. No
  38. 3 : 2
  39. 42
  40. 187

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