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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 64 · 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.

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  1. 1.Are 3, 12, 2 and 8 in proportion? (a) Yes (b) No
  2. 2.Write the ratio 48 : 6 in its simplest form. (a) 9 : 2 (b) 1 : 8 (c) 48 : 6 (d) 8 : 1
  3. 3.Write the ratio 81 : 36 in its simplest form. (a) 10 : 5 (b) 81 : 36 (c) 4 : 9 (d) 9 : 4
  4. 4.A basket has 25 mangoes and 35 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 8 (b) 5 : 7 (c) 7 : 5 (d) 25 : 35
  5. 5.Are 2, 14, 4 and 28 in proportion? (a) Yes (b) No
  6. 6.3 : 4 = ? : 20
  7. 7.₹1870 is shared between Nisha and Diya in the ratio 5 : 6. How many rupees does Nisha get?
  8. 8.Write the ratio 3 : 21 in its simplest form. (a) 1 : 7 (b) 7 : 1 (c) 2 : 8 (d) 3 : 21
  9. 9.Write the ratio 63 : 28 in its simplest form. (a) 63 : 28 (b) 4 : 9 (c) 9 : 4 (d) 10 : 5
  10. 10.A train goes 200 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  11. 11.If 2 chocolates cost ₹6, how many rupees do 4 chocolates cost?
  12. 12.Are 4, 10, 8 and 20 in proportion? (a) No (b) Yes
  13. 13.₹90 is shared between Diya and Aditya in the ratio 1 : 8. How many rupees does Aditya get?
  14. 14.A scooter goes 300 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  15. 15.A team has 14 batters and 49 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 2 (b) 14 : 49 (c) 3 : 8 (d) 2 : 7
  16. 16.Are 15, 24, 10 and 16 in proportion? (a) Yes (b) No
  17. 17.Are 18, 48, 21 and 58 in proportion? (a) No (b) Yes
  18. 18.1 : 5 = 7 : ?
  19. 19.Are 10, 35, 12 and 42 in proportion? (a) No (b) Yes
  20. 20.Write the ratio 21 : 49 in its simplest form. (a) 3 : 7 (b) 4 : 8 (c) 21 : 49 (d) 7 : 3
  21. 21.A box has 15 red pens and 25 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 15 : 25 (b) 5 : 3 (c) 4 : 6 (d) 3 : 5
  22. 22.Write the ratio 49 : 56 in its simplest form. (a) 49 : 56 (b) 8 : 9 (c) 8 : 7 (d) 7 : 8
  23. 23.If 3 ice creams cost ₹30, how many rupees do 6 ice creams cost?
  24. 24.If 2 notebooks cost ₹48, how many rupees do 7 notebooks cost?
  25. 25.If 8 mangoes cost ₹208, how many rupees do 9 mangoes cost?
  26. 26.₹780 is shared between Nisha and Diya in the ratio 6 : 7. How many rupees does Diya get?
  27. 27.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  28. 28.Are 18, 48, 9 and 24 in proportion? (a) Yes (b) No
  29. 29.Are 5, 20, 4 and 16 in proportion? (a) No (b) Yes
  30. 30.Write the ratio 9 : 18 in its simplest form. (a) 2 : 3 (b) 2 : 1 (c) 1 : 2 (d) 9 : 18
  31. 31.Are 8, 18, 36 and 81 in proportion? (a) No (b) Yes
  32. 32.A box has 14 red pens and 21 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 4 (b) 3 : 2 (c) 2 : 3 (d) 14 : 21
  33. 33.A basket has 4 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 10 (b) 4 : 18 (c) 2 : 9 (d) 9 : 2
  34. 34.Write the ratio 48 : 56 in its simplest form. (a) 7 : 8 (b) 48 : 56 (c) 7 : 6 (d) 6 : 7
  35. 35.Write the ratio 32 : 72 in its simplest form. (a) 9 : 4 (b) 4 : 9 (c) 32 : 72 (d) 5 : 10
  36. 36.Are 8, 10, 12 and 16 in proportion? (a) Yes (b) No
  37. 37.A library shelf has 8 storybooks and 40 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 5 (b) 5 : 1 (c) 2 : 6 (d) 8 : 40
  38. 38.A basket has 28 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 4 (b) 7 : 3 (c) 3 : 7 (d) 28 : 12
  39. 39.Are 2, 10, 5 and 25 in proportion? (a) Yes (b) No
  40. 40.If 6 notebooks cost ₹186, how many rupees do 11 notebooks cost?

Answer key

  1. Yes
  2. 8 : 1
  3. 9 : 4
  4. 5 : 7
  5. Yes
  6. 15
  7. 850
  8. 1 : 7
  9. 9 : 4
  10. 300
  11. 12
  12. Yes
  13. 80
  14. 240
  15. 2 : 7
  16. Yes
  17. No
  18. 35
  19. Yes
  20. 3 : 7
  21. 3 : 5
  22. 7 : 8
  23. 60
  24. 168
  25. 234
  26. 420
  27. 420
  28. Yes
  29. Yes
  30. 1 : 2
  31. Yes
  32. 2 : 3
  33. 2 : 9
  34. 6 : 7
  35. 4 : 9
  36. No
  37. 1 : 5
  38. 7 : 3
  39. Yes
  40. 341

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