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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 366 · 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.Write the ratio 16 : 72 in its simplest form. (a) 9 : 2 (b) 3 : 10 (c) 16 : 72 (d) 2 : 9
  2. 2.₹720 is shared between Manav and Karan in the ratio 1 : 3. How many rupees does Karan get?
  3. 3.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  4. 4.Write the ratio 27 : 3 in its simplest form. (a) 1 : 9 (b) 10 : 2 (c) 9 : 1 (d) 27 : 3
  5. 5.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  6. 6.If 3 ice creams cost ₹27, how many rupees do 2 ice creams cost?
  7. 7.A box has 5 red pens and 10 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 3 (b) 2 : 1 (c) 5 : 10 (d) 1 : 2
  8. 8.Write the ratio 18 : 4 in its simplest form. (a) 2 : 9 (b) 10 : 3 (c) 18 : 4 (d) 9 : 2
  9. 9.Write the ratio 18 : 30 in its simplest form. (a) 5 : 3 (b) 18 : 30 (c) 4 : 6 (d) 3 : 5
  10. 10.A bus goes 240 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  11. 11.A bus goes 390 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  12. 12.1 : 6 = ? : 12
  13. 13.If 8 mangoes cost ₹24, how many rupees do 7 mangoes cost?
  14. 14.Write the ratio 24 : 18 in its simplest form. (a) 4 : 3 (b) 24 : 18 (c) 3 : 4 (d) 5 : 4
  15. 15.Write the ratio 27 : 21 in its simplest form. (a) 7 : 9 (b) 9 : 7 (c) 27 : 21 (d) 10 : 8
  16. 16.7 : 8 = 21 : ?
  17. 17.₹50 is shared between Priya and Ishaan in the ratio 2 : 3. How many rupees does Priya get?
  18. 18.Are 8, 18, 28 and 65 in proportion? (a) No (b) Yes
  19. 19.Write the ratio 15 : 3 in its simplest form. (a) 6 : 2 (b) 1 : 5 (c) 5 : 1 (d) 15 : 3
  20. 20.₹1650 is shared between Aarav and Priya in the ratio 2 : 9. How many rupees does Aarav get?
  21. 21.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  22. 22.Write the ratio 6 : 14 in its simplest form. (a) 6 : 14 (b) 3 : 7 (c) 7 : 3 (d) 4 : 8
  23. 23.5 : 9 = ? : 18
  24. 24.A team has 25 batters and 20 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 5 (b) 25 : 20 (c) 5 : 4 (d) 6 : 5
  25. 25.Are 6, 9, 10 and 15 in proportion? (a) Yes (b) No
  26. 26.A bus goes 105 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  27. 27.Are 25, 40, 10 and 16 in proportion? (a) No (b) Yes
  28. 28.If 5 mangoes cost ₹75, how many rupees do 6 mangoes cost?
  29. 29.A bus goes 330 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  30. 30.Are 20, 36, 35 and 63 in proportion? (a) No (b) Yes
  31. 31.₹320 is shared between Kabir and Priya in the ratio 3 : 5. How many rupees does Priya get?
  32. 32.3 : 4 = 30 : ?
  33. 33.A class has 28 boys and 20 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 7 (b) 7 : 5 (c) 8 : 6 (d) 28 : 20
  34. 34.If 7 bus tickets cost ₹203, how many rupees do 4 bus tickets cost?
  35. 35.A box has 21 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 7 (b) 8 : 4 (c) 21 : 9 (d) 7 : 3
  36. 36.Are 48, 54, 56 and 63 in proportion? (a) Yes (b) No
  37. 37.₹350 is shared between Riya and Diya in the ratio 2 : 5. How many rupees does Riya get?
  38. 38.Are 9, 15, 21 and 38 in proportion? (a) No (b) Yes
  39. 39.A class has 10 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 3 (b) 10 : 6 (c) 3 : 5 (d) 6 : 4
  40. 40.A box has 72 red pens and 56 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 10 : 8 (b) 9 : 7 (c) 72 : 56 (d) 7 : 9

Answer key

  1. 2 : 9
  2. 540
  3. 240
  4. 9 : 1
  5. 600
  6. 18
  7. 1 : 2
  8. 9 : 2
  9. 3 : 5
  10. 560
  11. 65
  12. 2
  13. 21
  14. 4 : 3
  15. 9 : 7
  16. 24
  17. 20
  18. No
  19. 5 : 1
  20. 300
  21. 180
  22. 3 : 7
  23. 10
  24. 5 : 4
  25. Yes
  26. 175
  27. Yes
  28. 90
  29. 220
  30. Yes
  31. 200
  32. 40
  33. 7 : 5
  34. 116
  35. 7 : 3
  36. Yes
  37. 100
  38. No
  39. 5 : 3
  40. 9 : 7

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