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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 131 · 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 bus goes 130 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  2. 2.A team has 6 batters and 2 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 2 (b) 1 : 3 (c) 3 : 1 (d) 4 : 2
  3. 3.7 : 8 = 21 : ?
  4. 4.₹2200 is shared between Karan and Rohan in the ratio 5 : 6. How many rupees does Rohan get?
  5. 5.Write the ratio 12 : 14 in its simplest form. (a) 7 : 8 (b) 12 : 14 (c) 7 : 6 (d) 6 : 7
  6. 6.₹2240 is shared between Pooja and Vivaan in the ratio 7 : 9. How many rupees does Vivaan get?
  7. 7.A car goes 180 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  8. 8.Are 25, 40, 40 and 64 in proportion? (a) No (b) Yes
  9. 9.Are 20, 32, 25 and 42 in proportion? (a) Yes (b) No
  10. 10.Write the ratio 8 : 32 in its simplest form. (a) 2 : 5 (b) 1 : 4 (c) 4 : 1 (d) 8 : 32
  11. 11.1 : 5 = 4 : ?
  12. 12.4 : 9 = ? : 18
  13. 13.1 : 9 = 8 : ?
  14. 14.3 : 5 = ? : 15
  15. 15.If 9 ice creams cost ₹306, how many rupees do 5 ice creams cost?
  16. 16.If 8 pens cost ₹80, how many rupees do 10 pens cost?
  17. 17.5 : 8 = 20 : ?
  18. 18.₹1980 is shared between Isha and Saanvi in the ratio 3 : 8. How many rupees does Isha get?
  19. 19.Write the ratio 72 : 32 in its simplest form. (a) 72 : 32 (b) 10 : 5 (c) 9 : 4 (d) 4 : 9
  20. 20.Are 30, 54, 20 and 39 in proportion? (a) No (b) Yes
  21. 21.A team has 16 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 16 : 10 (b) 8 : 5 (c) 9 : 6 (d) 5 : 8
  22. 22.6 : 7 = 18 : ?
  23. 23.Write the ratio 63 : 54 in its simplest form. (a) 6 : 7 (b) 8 : 7 (c) 7 : 6 (d) 63 : 54
  24. 24.Write the ratio 18 : 10 in its simplest form. (a) 10 : 6 (b) 9 : 5 (c) 18 : 10 (d) 5 : 9
  25. 25.1 : 4 = 2 : ?
  26. 26.If 2 pens cost ₹18, how many rupees do 11 pens cost?
  27. 27.If 3 notebooks cost ₹162, how many rupees do 12 notebooks cost?
  28. 28.Are 10, 45, 14 and 66 in proportion? (a) Yes (b) No
  29. 29.5 : 7 = ? : 28
  30. 30.Write the ratio 16 : 56 in its simplest form. (a) 3 : 8 (b) 16 : 56 (c) 2 : 7 (d) 7 : 2
  31. 31.If 9 notebooks cost ₹333, how many rupees do 6 notebooks cost?
  32. 32.A scooter goes 180 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  33. 33.4 : 7 = ? : 49
  34. 34.₹100 is shared between Vivaan and Meera in the ratio 1 : 4. How many rupees does Meera get?
  35. 35.1 : 4 = 10 : ?
  36. 36.₹450 is shared between Vivaan and Gurpreet in the ratio 2 : 7. How many rupees does Gurpreet get?
  37. 37.1 : 7 = ? : 56
  38. 38.A train goes 320 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  39. 39.3 : 4 = ? : 32
  40. 40.3 : 5 = ? : 20

Answer key

  1. 65
  2. 3 : 1
  3. 24
  4. 1200
  5. 6 : 7
  6. 1260
  7. 60
  8. Yes
  9. No
  10. 1 : 4
  11. 20
  12. 8
  13. 72
  14. 9
  15. 170
  16. 100
  17. 32
  18. 540
  19. 9 : 4
  20. No
  21. 8 : 5
  22. 21
  23. 7 : 6
  24. 9 : 5
  25. 8
  26. 99
  27. 648
  28. No
  29. 20
  30. 2 : 7
  31. 222
  32. 30
  33. 28
  34. 80
  35. 40
  36. 350
  37. 8
  38. 80
  39. 24
  40. 12

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