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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 339 · 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.₹1950 is shared between Rahul and Kabir in the ratio 4 : 9. How many rupees does Kabir get?
  2. 2.A car goes 360 km in 6 hours. At the same speed, how many km does it go in 7 hours?
  3. 3.4 : 9 = ? : 90
  4. 4.4 : 9 = ? : 36
  5. 5.Are 15, 18, 35 and 42 in proportion? (a) Yes (b) No
  6. 6.A bus goes 150 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  7. 7.Are 15, 20, 9 and 12 in proportion? (a) No (b) Yes
  8. 8.Write the ratio 6 : 12 in its simplest form. (a) 6 : 12 (b) 2 : 1 (c) 1 : 2 (d) 2 : 3
  9. 9.If 7 notebooks cost ₹189, how many rupees do 4 notebooks cost?
  10. 10.4 : 5 = ? : 15
  11. 11.Are 5, 35, 4 and 30 in proportion? (a) No (b) Yes
  12. 12.A car goes 120 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  13. 13.Are 12, 42, 4 and 14 in proportion? (a) No (b) Yes
  14. 14.A car goes 250 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  15. 15.Are 20, 32, 10 and 16 in proportion? (a) No (b) Yes
  16. 16.If 3 ice creams cost ₹12, how many rupees do 7 ice creams cost?
  17. 17.If 8 bus tickets cost ₹296, how many rupees do 4 bus tickets cost?
  18. 18.If 8 notebooks cost ₹240, how many rupees do 2 notebooks cost?
  19. 19.Write the ratio 42 : 36 in its simplest form. (a) 6 : 7 (b) 8 : 7 (c) 7 : 6 (d) 42 : 36
  20. 20.A train goes 240 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  21. 21.₹480 is shared between Nisha and Tara in the ratio 1 : 5. How many rupees does Nisha get?
  22. 22.4 : 5 = 16 : ?
  23. 23.Are 30, 36, 20 and 24 in proportion? (a) No (b) Yes
  24. 24.₹60 is shared between Kabir and Karan in the ratio 1 : 2. How many rupees does Karan get?
  25. 25.If 8 chocolates cost ₹344, how many rupees do 5 chocolates cost?
  26. 26.1 : 6 = ? : 48
  27. 27.If 3 chocolates cost ₹171, how many rupees do 11 chocolates cost?
  28. 28.If 3 notebooks cost ₹120, how many rupees do 11 notebooks cost?
  29. 29.A bus goes 330 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  30. 30.Write the ratio 6 : 9 in its simplest form. (a) 3 : 4 (b) 2 : 3 (c) 6 : 9 (d) 3 : 2
  31. 31.1 : 5 = 8 : ?
  32. 32.A library shelf has 15 storybooks and 3 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 5 (b) 6 : 2 (c) 15 : 3 (d) 5 : 1
  33. 33.5 : 9 = 10 : ?
  34. 34.A library shelf has 36 storybooks and 30 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 6 (b) 5 : 6 (c) 6 : 5 (d) 36 : 30
  35. 35.₹1210 is shared between Arjun and Ishaan in the ratio 5 : 6. How many rupees does Ishaan get?
  36. 36.A team has 72 batters and 81 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 8 (b) 9 : 10 (c) 8 : 9 (d) 72 : 81
  37. 37.5 : 6 = 10 : ?
  38. 38.Write the ratio 48 : 42 in its simplest form. (a) 9 : 8 (b) 7 : 8 (c) 48 : 42 (d) 8 : 7
  39. 39.7 : 8 = ? : 40
  40. 40.If 4 notebooks cost ₹156, how many rupees do 9 notebooks cost?

Answer key

  1. 1350
  2. 420
  3. 40
  4. 16
  5. Yes
  6. 300
  7. Yes
  8. 1 : 2
  9. 108
  10. 12
  11. No
  12. 180
  13. Yes
  14. 200
  15. Yes
  16. 28
  17. 148
  18. 60
  19. 7 : 6
  20. 480
  21. 80
  22. 20
  23. Yes
  24. 40
  25. 215
  26. 8
  27. 627
  28. 440
  29. 165
  30. 2 : 3
  31. 40
  32. 5 : 1
  33. 18
  34. 6 : 5
  35. 660
  36. 8 : 9
  37. 12
  38. 8 : 7
  39. 35
  40. 351

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