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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 249 · 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 scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  2. 2.A team has 3 batters and 27 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 1 (b) 1 : 9 (c) 3 : 27 (d) 2 : 10
  3. 3.6 : 7 = ? : 14
  4. 4.Are 8, 20, 6 and 15 in proportion? (a) No (b) Yes
  5. 5.Write the ratio 35 : 49 in its simplest form. (a) 35 : 49 (b) 6 : 8 (c) 7 : 5 (d) 5 : 7
  6. 6.If 9 chocolates cost ₹459, how many rupees do 3 chocolates cost?
  7. 7.A train goes 250 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  8. 8.If 7 notebooks cost ₹105, how many rupees do 8 notebooks cost?
  9. 9.Write the ratio 20 : 4 in its simplest form. (a) 1 : 5 (b) 5 : 1 (c) 6 : 2 (d) 20 : 4
  10. 10.₹390 is shared between Tara and Rohan in the ratio 4 : 9. How many rupees does Tara get?
  11. 11.Are 12, 21, 8 and 14 in proportion? (a) Yes (b) No
  12. 12.Write the ratio 12 : 4 in its simplest form. (a) 4 : 2 (b) 12 : 4 (c) 1 : 3 (d) 3 : 1
  13. 13.Write the ratio 56 : 72 in its simplest form. (a) 8 : 10 (b) 9 : 7 (c) 7 : 9 (d) 56 : 72
  14. 14.If 2 ice creams cost ₹84, how many rupees do 6 ice creams cost?
  15. 15.If 8 chocolates cost ₹440, how many rupees do 12 chocolates cost?
  16. 16.1 : 9 = ? : 54
  17. 17.Are 6, 48, 3 and 27 in proportion? (a) Yes (b) No
  18. 18.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  19. 19.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  20. 20.If 8 chocolates cost ₹408, how many rupees do 11 chocolates cost?
  21. 21.If 2 mangoes cost ₹30, how many rupees do 7 mangoes cost?
  22. 22.If 2 pens cost ₹34, how many rupees do 6 pens cost?
  23. 23.Are 4, 24, 2 and 15 in proportion? (a) No (b) Yes
  24. 24.Write the ratio 3 : 27 in its simplest form. (a) 2 : 10 (b) 3 : 27 (c) 9 : 1 (d) 1 : 9
  25. 25.2 : 9 = ? : 45
  26. 26.₹910 is shared between Dev and Joseph in the ratio 5 : 8. How many rupees does Joseph get?
  27. 27.If 5 ice creams cost ₹260, how many rupees do 8 ice creams cost?
  28. 28.₹680 is shared between Aarav and Karan in the ratio 1 : 3. How many rupees does Karan get?
  29. 29.If 5 mangoes cost ₹130, how many rupees do 6 mangoes cost?
  30. 30.Write the ratio 6 : 30 in its simplest form. (a) 1 : 5 (b) 2 : 6 (c) 5 : 1 (d) 6 : 30
  31. 31.If 7 bus tickets cost ₹315, how many rupees do 9 bus tickets cost?
  32. 32.If 6 notebooks cost ₹258, how many rupees do 2 notebooks cost?
  33. 33.3 : 8 = 12 : ?
  34. 34.Are 21, 27, 14 and 20 in proportion? (a) No (b) Yes
  35. 35.If 5 mangoes cost ₹115, how many rupees do 9 mangoes cost?
  36. 36.3 : 5 = ? : 50
  37. 37.A scooter goes 225 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  38. 38.₹750 is shared between Aditya and Riya in the ratio 7 : 8. How many rupees does Aditya get?
  39. 39.Are 18, 48, 6 and 16 in proportion? (a) Yes (b) No
  40. 40.2 : 7 = ? : 35

Answer key

  1. 640
  2. 1 : 9
  3. 12
  4. Yes
  5. 5 : 7
  6. 153
  7. 300
  8. 120
  9. 5 : 1
  10. 120
  11. Yes
  12. 3 : 1
  13. 7 : 9
  14. 252
  15. 660
  16. 6
  17. No
  18. 240
  19. 35
  20. 561
  21. 105
  22. 102
  23. No
  24. 1 : 9
  25. 10
  26. 560
  27. 416
  28. 510
  29. 156
  30. 1 : 5
  31. 405
  32. 86
  33. 32
  34. No
  35. 207
  36. 30
  37. 180
  38. 350
  39. Yes
  40. 10

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