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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 338 · 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.If 6 bus tickets cost ₹168, how many rupees do 3 bus tickets cost?
  2. 2.Are 2, 10, 3 and 16 in proportion? (a) Yes (b) No
  3. 3.3 : 7 = ? : 35
  4. 4.Write the ratio 14 : 21 in its simplest form. (a) 3 : 4 (b) 14 : 21 (c) 2 : 3 (d) 3 : 2
  5. 5.₹70 is shared between Dev and Aarav in the ratio 1 : 6. How many rupees does Dev get?
  6. 6.Are 3, 18, 9 and 57 in proportion? (a) No (b) Yes
  7. 7.8 : 9 = 16 : ?
  8. 8.Are 15, 25, 9 and 15 in proportion? (a) Yes (b) No
  9. 9.1 : 4 = 7 : ?
  10. 10.1 : 3 = 5 : ?
  11. 11.Are 9, 21, 27 and 63 in proportion? (a) Yes (b) No
  12. 12.If 2 chocolates cost ₹36, how many rupees do 7 chocolates cost?
  13. 13.1 : 5 = ? : 15
  14. 14.A car goes 80 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  15. 15.Write the ratio 56 : 7 in its simplest form. (a) 8 : 1 (b) 1 : 8 (c) 9 : 2 (d) 56 : 7
  16. 16.If 6 pens cost ₹336, how many rupees do 7 pens cost?
  17. 17.Write the ratio 6 : 36 in its simplest form. (a) 6 : 36 (b) 2 : 7 (c) 1 : 6 (d) 6 : 1
  18. 18.1 : 6 = ? : 48
  19. 19.If 5 chocolates cost ₹115, how many rupees do 2 chocolates cost?
  20. 20.5 : 8 = 15 : ?
  21. 21.A library shelf has 7 storybooks and 14 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 2 (b) 7 : 14 (c) 2 : 3 (d) 2 : 1
  22. 22.₹1300 is shared between Karan and Ananya in the ratio 5 : 8. How many rupees does Ananya get?
  23. 23.Are 24, 54, 12 and 27 in proportion? (a) No (b) Yes
  24. 24.1 : 5 = 7 : ?
  25. 25.₹680 is shared between Meera and Gurpreet in the ratio 1 : 3. How many rupees does Gurpreet get?
  26. 26.Are 5, 20, 2 and 8 in proportion? (a) No (b) Yes
  27. 27.Are 35, 40, 28 and 32 in proportion? (a) No (b) Yes
  28. 28.Are 12, 14, 30 and 38 in proportion? (a) No (b) Yes
  29. 29.If 4 bus tickets cost ₹80, how many rupees do 8 bus tickets cost?
  30. 30.If 3 notebooks cost ₹57, how many rupees do 12 notebooks cost?
  31. 31.A library shelf has 63 storybooks and 72 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 8 (b) 8 : 7 (c) 63 : 72 (d) 8 : 9
  32. 32.Write the ratio 30 : 48 in its simplest form. (a) 8 : 5 (b) 30 : 48 (c) 5 : 8 (d) 6 : 9
  33. 33.A scooter goes 130 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  34. 34.₹120 is shared between Isha and Zoya in the ratio 1 : 5. How many rupees does Zoya get?
  35. 35.If 7 pens cost ₹49, how many rupees do 11 pens cost?
  36. 36.₹420 is shared between Kabir and Rohan in the ratio 3 : 4. How many rupees does Rohan get?
  37. 37.Write the ratio 40 : 15 in its simplest form. (a) 40 : 15 (b) 9 : 4 (c) 3 : 8 (d) 8 : 3
  38. 38.₹2080 is shared between Lakshmi and Riya in the ratio 4 : 9. How many rupees does Riya get?
  39. 39.3 : 5 = 15 : ?
  40. 40.1 : 5 = ? : 20

Answer key

  1. 84
  2. No
  3. 15
  4. 2 : 3
  5. 10
  6. No
  7. 18
  8. Yes
  9. 28
  10. 15
  11. Yes
  12. 126
  13. 3
  14. 240
  15. 8 : 1
  16. 392
  17. 1 : 6
  18. 8
  19. 46
  20. 24
  21. 1 : 2
  22. 800
  23. Yes
  24. 35
  25. 510
  26. Yes
  27. Yes
  28. No
  29. 160
  30. 228
  31. 7 : 8
  32. 5 : 8
  33. 195
  34. 100
  35. 77
  36. 240
  37. 8 : 3
  38. 1440
  39. 25
  40. 4

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