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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 255 · 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.Write the ratio 9 : 18 in its simplest form. (a) 9 : 18 (b) 2 : 3 (c) 2 : 1 (d) 1 : 2
  2. 2.If 7 pens cost ₹112, how many rupees do 11 pens cost?
  3. 3.If 2 bus tickets cost ₹48, how many rupees do 6 bus tickets cost?
  4. 4.Are 18, 30, 15 and 25 in proportion? (a) Yes (b) No
  5. 5.A bus goes 240 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  6. 6.Write the ratio 15 : 35 in its simplest form. (a) 3 : 7 (b) 15 : 35 (c) 7 : 3 (d) 4 : 8
  7. 7.Are 24, 28, 12 and 17 in proportion? (a) No (b) Yes
  8. 8.Write the ratio 18 : 9 in its simplest form. (a) 1 : 2 (b) 3 : 2 (c) 2 : 1 (d) 18 : 9
  9. 9.Write the ratio 24 : 21 in its simplest form. (a) 7 : 8 (b) 9 : 8 (c) 24 : 21 (d) 8 : 7
  10. 10.Are 9, 15, 21 and 37 in proportion? (a) Yes (b) No
  11. 11.Are 3, 6, 4 and 11 in proportion? (a) No (b) Yes
  12. 12.3 : 8 = 18 : ?
  13. 13.4 : 9 = ? : 72
  14. 14.Are 30, 35, 12 and 14 in proportion? (a) Yes (b) No
  15. 15.7 : 8 = ? : 72
  16. 16.5 : 9 = ? : 27
  17. 17.₹1760 is shared between Rahul and Riya in the ratio 4 : 7. How many rupees does Riya get?
  18. 18.5 : 7 = 30 : ?
  19. 19.₹100 is shared between Saanvi and Rohan in the ratio 1 : 9. How many rupees does Saanvi get?
  20. 20.3 : 7 = ? : 49
  21. 21.Write the ratio 2 : 6 in its simplest form. (a) 2 : 4 (b) 1 : 3 (c) 3 : 1 (d) 2 : 6
  22. 22.Are 5, 15, 4 and 12 in proportion? (a) No (b) Yes
  23. 23.2 : 3 = 6 : ?
  24. 24.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  25. 25.1 : 3 = ? : 9
  26. 26.5 : 6 = ? : 36
  27. 27.₹280 is shared between Nisha and Manav in the ratio 5 : 9. How many rupees does Nisha get?
  28. 28.A train goes 200 km in 5 hours. At the same speed, how many km does it go in 8 hours?
  29. 29.7 : 8 = 63 : ?
  30. 30.2 : 9 = 8 : ?
  31. 31.Write the ratio 27 : 6 in its simplest form. (a) 27 : 6 (b) 10 : 3 (c) 2 : 9 (d) 9 : 2
  32. 32.Write the ratio 63 : 35 in its simplest form. (a) 9 : 5 (b) 63 : 35 (c) 10 : 6 (d) 5 : 9
  33. 33.₹1430 is shared between Farhan and Meera in the ratio 5 : 6. How many rupees does Meera get?
  34. 34.Are 3, 18, 9 and 56 in proportion? (a) No (b) Yes
  35. 35.₹1560 is shared between Ananya and Zoya in the ratio 4 : 9. How many rupees does Zoya get?
  36. 36.₹240 is shared between Riya and Arjun in the ratio 3 : 5. How many rupees does Arjun get?
  37. 37.A train goes 225 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  38. 38.A basket has 20 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 20 : 12 (b) 3 : 5 (c) 5 : 3 (d) 6 : 4
  39. 39.Are 3, 6, 6 and 15 in proportion? (a) Yes (b) No
  40. 40.If 4 notebooks cost ₹104, how many rupees do 5 notebooks cost?

Answer key

  1. 1 : 2
  2. 176
  3. 144
  4. Yes
  5. 80
  6. 3 : 7
  7. No
  8. 2 : 1
  9. 8 : 7
  10. No
  11. No
  12. 48
  13. 32
  14. Yes
  15. 63
  16. 15
  17. 1120
  18. 42
  19. 10
  20. 21
  21. 1 : 3
  22. Yes
  23. 9
  24. 180
  25. 3
  26. 30
  27. 100
  28. 320
  29. 72
  30. 36
  31. 9 : 2
  32. 9 : 5
  33. 780
  34. No
  35. 1080
  36. 150
  37. 600
  38. 5 : 3
  39. No
  40. 130

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