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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 316 · 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.₹280 is shared between Vivaan and Dev in the ratio 3 : 4. How many rupees does Dev get?
  2. 2.Write the ratio 8 : 48 in its simplest form. (a) 1 : 6 (b) 8 : 48 (c) 2 : 7 (d) 6 : 1
  3. 3.2 : 5 = ? : 40
  4. 4.Are 21, 24, 35 and 43 in proportion? (a) Yes (b) No
  5. 5.1 : 2 = 3 : ?
  6. 6.Write the ratio 27 : 36 in its simplest form. (a) 4 : 3 (b) 3 : 4 (c) 4 : 5 (d) 27 : 36
  7. 7.If 4 bus tickets cost ₹112, how many rupees do 3 bus tickets cost?
  8. 8.If 5 notebooks cost ₹110, how many rupees do 7 notebooks cost?
  9. 9.A team has 30 batters and 36 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 5 (b) 6 : 7 (c) 30 : 36 (d) 5 : 6
  10. 10.1 : 9 = 10 : ?
  11. 11.Write the ratio 15 : 3 in its simplest form. (a) 1 : 5 (b) 5 : 1 (c) 15 : 3 (d) 6 : 2
  12. 12.2 : 5 = ? : 25
  13. 13.Are 20, 24, 40 and 48 in proportion? (a) No (b) Yes
  14. 14.₹1560 is shared between Diya and Ishaan in the ratio 6 : 7. How many rupees does Ishaan get?
  15. 15.A team has 28 batters and 4 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 1 (b) 1 : 7 (c) 8 : 2 (d) 28 : 4
  16. 16.Are 8, 36, 16 and 73 in proportion? (a) No (b) Yes
  17. 17.A garden has 32 rose plants and 56 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 4 (b) 32 : 56 (c) 4 : 7 (d) 5 : 8
  18. 18.Write the ratio 18 : 42 in its simplest form. (a) 7 : 3 (b) 18 : 42 (c) 3 : 7 (d) 4 : 8
  19. 19.2 : 7 = 4 : ?
  20. 20.If 9 mangoes cost ₹441, how many rupees do 5 mangoes cost?
  21. 21.A scooter goes 390 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  22. 22.Are 6, 24, 5 and 20 in proportion? (a) Yes (b) No
  23. 23.₹2080 is shared between Saanvi and Tara in the ratio 6 : 7. How many rupees does Saanvi get?
  24. 24.Are 21, 24, 49 and 56 in proportion? (a) Yes (b) No
  25. 25.Write the ratio 10 : 25 in its simplest form. (a) 5 : 2 (b) 3 : 6 (c) 2 : 5 (d) 10 : 25
  26. 26.4 : 9 = ? : 36
  27. 27.Are 8, 36, 16 and 72 in proportion? (a) No (b) Yes
  28. 28.A car goes 210 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  29. 29.4 : 9 = ? : 63
  30. 30.If 4 chocolates cost ₹132, how many rupees do 2 chocolates cost?
  31. 31.Write the ratio 54 : 48 in its simplest form. (a) 9 : 8 (b) 10 : 9 (c) 54 : 48 (d) 8 : 9
  32. 32.Are 40, 45, 32 and 37 in proportion? (a) Yes (b) No
  33. 33.If 4 chocolates cost ₹76, how many rupees do 8 chocolates cost?
  34. 34.Are 8, 14, 12 and 24 in proportion? (a) No (b) Yes
  35. 35.If 4 bus tickets cost ₹208, how many rupees do 12 bus tickets cost?
  36. 36.1 : 4 = 4 : ?
  37. 37.Are 3, 27, 4 and 36 in proportion? (a) Yes (b) No
  38. 38.8 : 9 = 80 : ?
  39. 39.A garden has 24 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 1 (b) 7 : 2 (c) 24 : 4 (d) 1 : 6
  40. 40.Are 14, 16, 28 and 34 in proportion? (a) No (b) Yes

Answer key

  1. 160
  2. 1 : 6
  3. 16
  4. No
  5. 6
  6. 3 : 4
  7. 84
  8. 154
  9. 5 : 6
  10. 90
  11. 5 : 1
  12. 10
  13. Yes
  14. 840
  15. 7 : 1
  16. No
  17. 4 : 7
  18. 3 : 7
  19. 14
  20. 245
  21. 260
  22. Yes
  23. 960
  24. Yes
  25. 2 : 5
  26. 16
  27. Yes
  28. 70
  29. 28
  30. 66
  31. 9 : 8
  32. No
  33. 152
  34. No
  35. 624
  36. 16
  37. Yes
  38. 90
  39. 6 : 1
  40. No

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