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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 200 · 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.

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  1. 1.Are 8, 14, 32 and 56 in proportion? (a) No (b) Yes
  2. 2.A basket has 45 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 45 : 18 (b) 2 : 5 (c) 6 : 3 (d) 5 : 2
  3. 3.A bus goes 60 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  4. 4.Are 8, 18, 20 and 46 in proportion? (a) No (b) Yes
  5. 5.3 : 7 = ? : 56
  6. 6.A car goes 325 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  7. 7.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  8. 8.A train goes 120 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  9. 9.8 : 9 = 80 : ?
  10. 10.Are 8, 36, 18 and 81 in proportion? (a) Yes (b) No
  11. 11.Are 25, 35, 10 and 15 in proportion? (a) Yes (b) No
  12. 12.Are 5, 20, 9 and 36 in proportion? (a) No (b) Yes
  13. 13.1 : 5 = ? : 15
  14. 14.6 : 7 = 60 : ?
  15. 15.A class has 16 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 4 (b) 5 : 2 (c) 16 : 4 (d) 4 : 1
  16. 16.A bus goes 480 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  17. 17.Are 36, 42, 30 and 36 in proportion? (a) Yes (b) No
  18. 18.If 2 notebooks cost ₹102, how many rupees do 4 notebooks cost?
  19. 19.A class has 12 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 4 (b) 4 : 7 (c) 5 : 8 (d) 12 : 21
  20. 20.₹540 is shared between Rohan and Zoya in the ratio 2 : 7. How many rupees does Rohan get?
  21. 21.If 6 chocolates cost ₹90, how many rupees do 10 chocolates cost?
  22. 22.₹550 is shared between Sneha and Rahul in the ratio 4 : 7. How many rupees does Rahul get?
  23. 23.If 3 pens cost ₹69, how many rupees do 7 pens cost?
  24. 24.5 : 6 = 30 : ?
  25. 25.₹270 is shared between Lakshmi and Gurpreet in the ratio 1 : 2. How many rupees does Lakshmi get?
  26. 26.If 6 ice creams cost ₹186, how many rupees do 3 ice creams cost?
  27. 27.Are 5, 45, 8 and 72 in proportion? (a) No (b) Yes
  28. 28.Are 12, 18, 10 and 15 in proportion? (a) No (b) Yes
  29. 29.5 : 7 = 10 : ?
  30. 30.2 : 3 = ? : 9
  31. 31.1 : 2 = ? : 20
  32. 32.7 : 9 = 49 : ?
  33. 33.1 : 3 = ? : 6
  34. 34.Are 5, 20, 8 and 32 in proportion? (a) No (b) Yes
  35. 35.Are 6, 8, 27 and 39 in proportion? (a) No (b) Yes
  36. 36.Write the ratio 12 : 32 in its simplest form. (a) 3 : 8 (b) 4 : 9 (c) 8 : 3 (d) 12 : 32
  37. 37.Write the ratio 72 : 64 in its simplest form. (a) 10 : 9 (b) 8 : 9 (c) 72 : 64 (d) 9 : 8
  38. 38.5 : 6 = 40 : ?
  39. 39.₹490 is shared between Vivaan and Farhan in the ratio 2 : 5. How many rupees does Vivaan get?
  40. 40.₹770 is shared between Ananya and Diya in the ratio 3 : 8. How many rupees does Ananya get?

Answer key

  1. Yes
  2. 5 : 2
  3. 150
  4. No
  5. 24
  6. 260
  7. 315
  8. 240
  9. 90
  10. Yes
  11. No
  12. Yes
  13. 3
  14. 70
  15. 4 : 1
  16. 320
  17. No
  18. 204
  19. 4 : 7
  20. 120
  21. 150
  22. 350
  23. 161
  24. 36
  25. 90
  26. 93
  27. Yes
  28. Yes
  29. 14
  30. 6
  31. 10
  32. 63
  33. 2
  34. Yes
  35. No
  36. 3 : 8
  37. 9 : 8
  38. 48
  39. 140
  40. 210

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