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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 27 · 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.A box has 32 red pens and 72 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 32 : 72 (b) 5 : 10 (c) 9 : 4 (d) 4 : 9
  2. 2.Are 5, 45, 3 and 29 in proportion? (a) Yes (b) No
  3. 3.If 8 pens cost ₹392, how many rupees do 4 pens cost?
  4. 4.4 : 9 = 20 : ?
  5. 5.Write the ratio 2 : 4 in its simplest form. (a) 2 : 3 (b) 2 : 4 (c) 2 : 1 (d) 1 : 2
  6. 6.Are 4, 18, 18 and 82 in proportion? (a) Yes (b) No
  7. 7.Are 18, 24, 6 and 8 in proportion? (a) No (b) Yes
  8. 8.₹1020 is shared between Sneha and Dev in the ratio 1 : 5. How many rupees does Dev get?
  9. 9.Are 9, 21, 6 and 15 in proportion? (a) No (b) Yes
  10. 10.Are 25, 35, 35 and 49 in proportion? (a) No (b) Yes
  11. 11.2 : 5 = 18 : ?
  12. 12.5 : 8 = 45 : ?
  13. 13.₹660 is shared between Meera and Aarav in the ratio 4 : 7. How many rupees does Meera get?
  14. 14.Write the ratio 18 : 30 in its simplest form. (a) 18 : 30 (b) 5 : 3 (c) 4 : 6 (d) 3 : 5
  15. 15.A class has 81 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 3 (b) 81 : 18 (c) 9 : 2 (d) 2 : 9
  16. 16.If 9 notebooks cost ₹495, how many rupees do 7 notebooks cost?
  17. 17.₹180 is shared between Riya and Pooja in the ratio 4 : 5. How many rupees does Riya get?
  18. 18.If 2 notebooks cost ₹90, how many rupees do 6 notebooks cost?
  19. 19.Write the ratio 42 : 24 in its simplest form. (a) 8 : 5 (b) 7 : 4 (c) 42 : 24 (d) 4 : 7
  20. 20.A bus goes 420 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  21. 21.A bus goes 195 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  22. 22.A basket has 49 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 49 : 56 (b) 8 : 9 (c) 8 : 7 (d) 7 : 8
  23. 23.Are 8, 12, 4 and 8 in proportion? (a) No (b) Yes
  24. 24.Are 10, 15, 12 and 19 in proportion? (a) No (b) Yes
  25. 25.A garden has 12 rose plants and 32 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 12 : 32 (b) 8 : 3 (c) 4 : 9 (d) 3 : 8
  26. 26.If 2 bus tickets cost ₹116, how many rupees do 12 bus tickets cost?
  27. 27.Write the ratio 3 : 21 in its simplest form. (a) 1 : 7 (b) 7 : 1 (c) 3 : 21 (d) 2 : 8
  28. 28.₹1320 is shared between Ishaan and Sneha in the ratio 5 : 6. How many rupees does Sneha get?
  29. 29.A car goes 165 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  30. 30.If 2 chocolates cost ₹46, how many rupees do 12 chocolates cost?
  31. 31.1 : 9 = 4 : ?
  32. 32.A basket has 63 mangoes and 81 apples. What is the ratio of mangoes to apples in its simplest form? (a) 63 : 81 (b) 8 : 10 (c) 7 : 9 (d) 9 : 7
  33. 33.₹1190 is shared between Farhan and Isha in the ratio 3 : 4. How many rupees does Farhan get?
  34. 34.If 3 pens cost ₹30, how many rupees do 6 pens cost?
  35. 35.Write the ratio 12 : 14 in its simplest form. (a) 7 : 6 (b) 12 : 14 (c) 7 : 8 (d) 6 : 7
  36. 36.Are 28, 36, 14 and 18 in proportion? (a) Yes (b) No
  37. 37.Write the ratio 18 : 27 in its simplest form. (a) 18 : 27 (b) 3 : 4 (c) 2 : 3 (d) 3 : 2
  38. 38.Write the ratio 16 : 10 in its simplest form. (a) 16 : 10 (b) 8 : 5 (c) 9 : 6 (d) 5 : 8
  39. 39.2 : 9 = 16 : ?
  40. 40.₹1100 is shared between Riya and Kavya in the ratio 3 : 7. How many rupees does Kavya get?

Answer key

  1. 4 : 9
  2. No
  3. 196
  4. 45
  5. 1 : 2
  6. No
  7. Yes
  8. 850
  9. No
  10. Yes
  11. 45
  12. 72
  13. 240
  14. 3 : 5
  15. 9 : 2
  16. 385
  17. 80
  18. 270
  19. 7 : 4
  20. 70
  21. 390
  22. 7 : 8
  23. No
  24. No
  25. 3 : 8
  26. 696
  27. 1 : 7
  28. 720
  29. 55
  30. 276
  31. 36
  32. 7 : 9
  33. 510
  34. 60
  35. 6 : 7
  36. Yes
  37. 2 : 3
  38. 8 : 5
  39. 72
  40. 770

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