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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 392 · 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 3 mangoes cost ₹174, how many rupees do 7 mangoes cost?
  2. 2.4 : 7 = 28 : ?
  3. 3.A basket has 3 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 15 (b) 2 : 6 (c) 1 : 5 (d) 5 : 1
  4. 4.A basket has 49 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 7 (b) 49 : 21 (c) 8 : 4 (d) 7 : 3
  5. 5.2 : 3 = 20 : ?
  6. 6.Are 3, 9, 9 and 29 in proportion? (a) Yes (b) No
  7. 7.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  8. 8.Write the ratio 8 : 18 in its simplest form. (a) 5 : 10 (b) 9 : 4 (c) 8 : 18 (d) 4 : 9
  9. 9.₹1700 is shared between Meera and Joseph in the ratio 3 : 7. How many rupees does Joseph get?
  10. 10.If 4 bus tickets cost ₹100, how many rupees do 11 bus tickets cost?
  11. 11.A scooter goes 105 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  12. 12.Are 4, 14, 14 and 49 in proportion? (a) No (b) Yes
  13. 13.A class has 5 boys and 20 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 20 (b) 2 : 5 (c) 1 : 4 (d) 4 : 1
  14. 14.₹1500 is shared between Arjun and Rohan in the ratio 1 : 9. How many rupees does Rohan get?
  15. 15.Write the ratio 30 : 48 in its simplest form. (a) 8 : 5 (b) 6 : 9 (c) 5 : 8 (d) 30 : 48
  16. 16.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  17. 17.Are 4, 8, 5 and 10 in proportion? (a) Yes (b) No
  18. 18.8 : 9 = ? : 63
  19. 19.7 : 8 = 56 : ?
  20. 20.If 6 pens cost ₹192, how many rupees do 2 pens cost?
  21. 21.A team has 48 batters and 42 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 8 (b) 48 : 42 (c) 8 : 7 (d) 9 : 8
  22. 22.4 : 5 = ? : 25
  23. 23.4 : 7 = ? : 42
  24. 24.Write the ratio 10 : 16 in its simplest form. (a) 5 : 8 (b) 10 : 16 (c) 8 : 5 (d) 6 : 9
  25. 25.₹260 is shared between Kavya and Gurpreet in the ratio 4 : 9. How many rupees does Kavya get?
  26. 26.Write the ratio 14 : 12 in its simplest form. (a) 7 : 6 (b) 14 : 12 (c) 6 : 7 (d) 8 : 7
  27. 27.3 : 7 = ? : 28
  28. 28.If 2 notebooks cost ₹32, how many rupees do 3 notebooks cost?
  29. 29.₹840 is shared between Ananya and Rohan in the ratio 5 : 9. How many rupees does Ananya get?
  30. 30.3 : 8 = 12 : ?
  31. 31.A team has 8 batters and 28 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 2 (b) 8 : 28 (c) 2 : 7 (d) 3 : 8
  32. 32.5 : 6 = 25 : ?
  33. 33.A class has 15 boys and 9 girls. What is the ratio of boys to girls in its simplest form? (a) 15 : 9 (b) 5 : 3 (c) 3 : 5 (d) 6 : 4
  34. 34.Write the ratio 45 : 25 in its simplest form. (a) 45 : 25 (b) 5 : 9 (c) 10 : 6 (d) 9 : 5
  35. 35.Write the ratio 8 : 72 in its simplest form. (a) 8 : 72 (b) 1 : 9 (c) 9 : 1 (d) 2 : 10
  36. 36.1 : 7 = 3 : ?
  37. 37.Are 5, 20, 7 and 29 in proportion? (a) No (b) Yes
  38. 38.₹420 is shared between Kabir and Ishaan in the ratio 5 : 9. How many rupees does Ishaan get?
  39. 39.Are 6, 21, 18 and 64 in proportion? (a) Yes (b) No
  40. 40.If 5 mangoes cost ₹205, how many rupees do 10 mangoes cost?

Answer key

  1. 406
  2. 49
  3. 1 : 5
  4. 7 : 3
  5. 30
  6. No
  7. 240
  8. 4 : 9
  9. 1190
  10. 275
  11. 35
  12. Yes
  13. 1 : 4
  14. 1350
  15. 5 : 8
  16. 525
  17. Yes
  18. 56
  19. 64
  20. 64
  21. 8 : 7
  22. 20
  23. 24
  24. 5 : 8
  25. 80
  26. 7 : 6
  27. 12
  28. 48
  29. 300
  30. 32
  31. 2 : 7
  32. 30
  33. 5 : 3
  34. 9 : 5
  35. 1 : 9
  36. 21
  37. No
  38. 270
  39. No
  40. 410

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