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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 227 · 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. 1.1 : 4 = 10 : ?
  2. 2.₹1080 is shared between Rohan and Lakshmi in the ratio 1 : 5. How many rupees does Lakshmi get?
  3. 3.1 : 3 = ? : 12
  4. 4.Write the ratio 56 : 16 in its simplest form. (a) 2 : 7 (b) 7 : 2 (c) 56 : 16 (d) 8 : 3
  5. 5.If 7 pens cost ₹91, how many rupees do 2 pens cost?
  6. 6.3 : 5 = ? : 15
  7. 7.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  8. 8.3 : 5 = ? : 35
  9. 9.If 2 bus tickets cost ₹62, how many rupees do 5 bus tickets cost?
  10. 10.A library shelf has 45 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 2 (b) 2 : 9 (c) 45 : 10 (d) 10 : 3
  11. 11.1 : 7 = ? : 14
  12. 12.₹660 is shared between Isha and Zoya in the ratio 1 : 5. How many rupees does Zoya get?
  13. 13.A train goes 300 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  14. 14.A scooter goes 330 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  15. 15.Are 36, 42, 42 and 51 in proportion? (a) Yes (b) No
  16. 16.3 : 5 = 12 : ?
  17. 17.Write the ratio 15 : 27 in its simplest form. (a) 15 : 27 (b) 5 : 9 (c) 9 : 5 (d) 6 : 10
  18. 18.Are 8, 12, 10 and 18 in proportion? (a) No (b) Yes
  19. 19.₹220 is shared between Rahul and Joseph in the ratio 3 : 8. How many rupees does Joseph get?
  20. 20.If 3 mangoes cost ₹156, how many rupees do 5 mangoes cost?
  21. 21.₹2040 is shared between Diya and Tara in the ratio 8 : 9. How many rupees does Tara get?
  22. 22.Write the ratio 4 : 28 in its simplest form. (a) 1 : 7 (b) 2 : 8 (c) 7 : 1 (d) 4 : 28
  23. 23.A scooter goes 80 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  24. 24.5 : 7 = 40 : ?
  25. 25.If 8 ice creams cost ₹96, how many rupees do 10 ice creams cost?
  26. 26.Are 10, 18, 35 and 63 in proportion? (a) Yes (b) No
  27. 27.3 : 7 = ? : 63
  28. 28.Write the ratio 18 : 63 in its simplest form. (a) 7 : 2 (b) 18 : 63 (c) 3 : 8 (d) 2 : 7
  29. 29.If 8 chocolates cost ₹440, how many rupees do 2 chocolates cost?
  30. 30.If 6 ice creams cost ₹222, how many rupees do 5 ice creams cost?
  31. 31.A team has 2 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 12 (b) 2 : 7 (c) 6 : 1 (d) 1 : 6
  32. 32.2 : 5 = ? : 45
  33. 33.Write the ratio 21 : 18 in its simplest form. (a) 7 : 6 (b) 21 : 18 (c) 6 : 7 (d) 8 : 7
  34. 34.1 : 8 = ? : 24
  35. 35.2 : 9 = 4 : ?
  36. 36.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 8 hours?
  37. 37.1 : 9 = 3 : ?
  38. 38.Are 2, 10, 3 and 16 in proportion? (a) No (b) Yes
  39. 39.A bus goes 135 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  40. 40.Write the ratio 35 : 28 in its simplest form. (a) 5 : 4 (b) 6 : 5 (c) 4 : 5 (d) 35 : 28

Answer key

  1. 40
  2. 900
  3. 4
  4. 7 : 2
  5. 26
  6. 9
  7. 75
  8. 21
  9. 155
  10. 9 : 2
  11. 2
  12. 550
  13. 250
  14. 55
  15. No
  16. 20
  17. 5 : 9
  18. No
  19. 160
  20. 260
  21. 1080
  22. 1 : 7
  23. 320
  24. 56
  25. 120
  26. Yes
  27. 27
  28. 2 : 7
  29. 110
  30. 185
  31. 1 : 6
  32. 18
  33. 7 : 6
  34. 3
  35. 18
  36. 280
  37. 27
  38. No
  39. 315
  40. 5 : 4

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