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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 154 · 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.A train goes 165 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  2. 2.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  3. 3.2 : 7 = ? : 28
  4. 4.A car goes 240 km in 4 hours. At the same speed, how many km does it go in 5 hours?
  5. 5.If 7 mangoes cost ₹161, how many rupees do 10 mangoes cost?
  6. 6.Are 6, 14, 12 and 28 in proportion? (a) Yes (b) No
  7. 7.Are 25, 45, 10 and 18 in proportion? (a) Yes (b) No
  8. 8.₹130 is shared between Tara and Diya in the ratio 5 : 8. How many rupees does Tara get?
  9. 9.₹280 is shared between Isha and Riya in the ratio 5 : 9. How many rupees does Isha get?
  10. 10.Are 32, 36, 72 and 81 in proportion? (a) No (b) Yes
  11. 11.Are 10, 12, 30 and 39 in proportion? (a) No (b) Yes
  12. 12.2 : 7 = 12 : ?
  13. 13.3 : 7 = ? : 28
  14. 14.2 : 9 = ? : 81
  15. 15.5 : 9 = 25 : ?
  16. 16.If 8 bus tickets cost ₹408, how many rupees do 11 bus tickets cost?
  17. 17.Write the ratio 5 : 20 in its simplest form. (a) 5 : 20 (b) 2 : 5 (c) 4 : 1 (d) 1 : 4
  18. 18.A library shelf has 7 storybooks and 35 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 1 (b) 7 : 35 (c) 2 : 6 (d) 1 : 5
  19. 19.1 : 4 = ? : 32
  20. 20.₹300 is shared between Meera and Isha in the ratio 1 : 4. How many rupees does Isha get?
  21. 21.Write the ratio 30 : 25 in its simplest form. (a) 7 : 6 (b) 5 : 6 (c) 30 : 25 (d) 6 : 5
  22. 22.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  23. 23.If 6 pens cost ₹318, how many rupees do 5 pens cost?
  24. 24.₹1520 is shared between Zoya and Pooja in the ratio 1 : 7. How many rupees does Zoya get?
  25. 25.A basket has 12 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 7 (b) 12 : 14 (c) 7 : 6 (d) 7 : 8
  26. 26.Write the ratio 12 : 28 in its simplest form. (a) 4 : 8 (b) 7 : 3 (c) 3 : 7 (d) 12 : 28
  27. 27.Are 12, 30, 10 and 25 in proportion? (a) No (b) Yes
  28. 28.3 : 8 = 21 : ?
  29. 29.1 : 2 = 8 : ?
  30. 30.A bus goes 120 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  31. 31.A class has 72 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 7 (b) 72 : 63 (c) 9 : 8 (d) 7 : 8
  32. 32.If 9 bus tickets cost ₹225, how many rupees do 8 bus tickets cost?
  33. 33.A team has 16 batters and 36 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 16 : 36 (b) 4 : 9 (c) 9 : 4 (d) 5 : 10
  34. 34.Are 10, 14, 30 and 44 in proportion? (a) Yes (b) No
  35. 35.A basket has 12 mangoes and 42 apples. What is the ratio of mangoes to apples in its simplest form? (a) 12 : 42 (b) 2 : 7 (c) 3 : 8 (d) 7 : 2
  36. 36.Write the ratio 35 : 21 in its simplest form. (a) 6 : 4 (b) 3 : 5 (c) 35 : 21 (d) 5 : 3
  37. 37.Are 12, 28, 18 and 42 in proportion? (a) Yes (b) No
  38. 38.4 : 9 = 28 : ?
  39. 39.A box has 63 red pens and 72 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 63 : 72 (b) 7 : 8 (c) 8 : 9 (d) 8 : 7
  40. 40.Write the ratio 24 : 64 in its simplest form. (a) 8 : 3 (b) 24 : 64 (c) 3 : 8 (d) 4 : 9

Answer key

  1. 385
  2. 135
  3. 8
  4. 300
  5. 230
  6. Yes
  7. Yes
  8. 50
  9. 100
  10. Yes
  11. No
  12. 42
  13. 12
  14. 18
  15. 45
  16. 561
  17. 1 : 4
  18. 1 : 5
  19. 8
  20. 240
  21. 6 : 5
  22. 120
  23. 265
  24. 190
  25. 6 : 7
  26. 3 : 7
  27. Yes
  28. 56
  29. 16
  30. 420
  31. 8 : 7
  32. 200
  33. 4 : 9
  34. No
  35. 2 : 7
  36. 5 : 3
  37. Yes
  38. 63
  39. 7 : 8
  40. 3 : 8

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