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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 149 · 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 375 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  2. 2.Are 6, 8, 24 and 34 in proportion? (a) Yes (b) No
  3. 3.3 : 7 = 30 : ?
  4. 4.4 : 5 = ? : 15
  5. 5.₹700 is shared between Aditya and Rahul in the ratio 2 : 3. How many rupees does Aditya get?
  6. 6.₹2850 is shared between Manav and Diya in the ratio 7 : 8. How many rupees does Manav get?
  7. 7.Write the ratio 81 : 63 in its simplest form. (a) 81 : 63 (b) 9 : 7 (c) 7 : 9 (d) 10 : 8
  8. 8.7 : 9 = 42 : ?
  9. 9.Are 5, 25, 7 and 37 in proportion? (a) Yes (b) No
  10. 10.Write the ratio 8 : 20 in its simplest form. (a) 8 : 20 (b) 5 : 2 (c) 2 : 5 (d) 3 : 6
  11. 11.A class has 16 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 3 (b) 16 : 12 (c) 5 : 4 (d) 3 : 4
  12. 12.₹1690 is shared between Tara and Gurpreet in the ratio 5 : 8. How many rupees does Gurpreet get?
  13. 13.A class has 63 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 5 (b) 9 : 4 (c) 63 : 28 (d) 4 : 9
  14. 14.5 : 8 = ? : 72
  15. 15.6 : 7 = ? : 42
  16. 16.If 9 notebooks cost ₹369, how many rupees do 6 notebooks cost?
  17. 17.A box has 30 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 30 : 12 (b) 5 : 2 (c) 2 : 5 (d) 6 : 3
  18. 18.If 3 mangoes cost ₹66, how many rupees do 9 mangoes cost?
  19. 19.3 : 5 = ? : 50
  20. 20.A scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  21. 21.3 : 8 = ? : 64
  22. 22.₹720 is shared between Pooja and Meera in the ratio 1 : 3. How many rupees does Pooja get?
  23. 23.Write the ratio 18 : 3 in its simplest form. (a) 7 : 2 (b) 18 : 3 (c) 6 : 1 (d) 1 : 6
  24. 24.A team has 15 batters and 24 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 8 (b) 6 : 9 (c) 8 : 5 (d) 15 : 24
  25. 25.Are 15, 40, 24 and 64 in proportion? (a) No (b) Yes
  26. 26.1 : 9 = ? : 54
  27. 27.1 : 4 = ? : 32
  28. 28.Write the ratio 9 : 24 in its simplest form. (a) 4 : 9 (b) 3 : 8 (c) 9 : 24 (d) 8 : 3
  29. 29.A bus goes 375 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  30. 30.If 5 ice creams cost ₹35, how many rupees do 9 ice creams cost?
  31. 31.A team has 45 batters and 63 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 45 : 63 (b) 7 : 5 (c) 5 : 7 (d) 6 : 8
  32. 32.1 : 3 = 3 : ?
  33. 33.If 2 chocolates cost ₹42, how many rupees do 7 chocolates cost?
  34. 34.5 : 6 = ? : 36
  35. 35.A library shelf has 28 storybooks and 12 science books. What is the ratio of storybooks to science books in its simplest form? (a) 28 : 12 (b) 8 : 4 (c) 7 : 3 (d) 3 : 7
  36. 36.3 : 7 = ? : 21
  37. 37.Are 15, 40, 27 and 75 in proportion? (a) Yes (b) No
  38. 38.4 : 7 = 28 : ?
  39. 39.₹330 is shared between Aditya and Aarav in the ratio 5 : 6. How many rupees does Aarav get?
  40. 40.4 : 5 = ? : 45

Answer key

  1. 225
  2. No
  3. 70
  4. 12
  5. 280
  6. 1330
  7. 9 : 7
  8. 54
  9. No
  10. 2 : 5
  11. 4 : 3
  12. 1040
  13. 9 : 4
  14. 45
  15. 36
  16. 246
  17. 5 : 2
  18. 198
  19. 30
  20. 60
  21. 24
  22. 180
  23. 6 : 1
  24. 5 : 8
  25. Yes
  26. 6
  27. 8
  28. 3 : 8
  29. 75
  30. 63
  31. 5 : 7
  32. 9
  33. 147
  34. 30
  35. 7 : 3
  36. 9
  37. No
  38. 49
  39. 180
  40. 36

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