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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 294 · 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.₹840 is shared between Rahul and Gurpreet in the ratio 3 : 4. How many rupees does Rahul get?
  2. 2.₹1820 is shared between Rohan and Karan in the ratio 4 : 9. How many rupees does Karan get?
  3. 3.Are 48, 54, 56 and 64 in proportion? (a) No (b) Yes
  4. 4.A library shelf has 5 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 1 (b) 2 : 4 (c) 5 : 15 (d) 1 : 3
  5. 5.Write the ratio 10 : 14 in its simplest form. (a) 10 : 14 (b) 5 : 7 (c) 7 : 5 (d) 6 : 8
  6. 6.A car goes 480 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  7. 7.₹660 is shared between Vivaan and Priya in the ratio 1 : 5. How many rupees does Vivaan get?
  8. 8.Are 4, 32, 9 and 72 in proportion? (a) Yes (b) No
  9. 9.A team has 18 batters and 45 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 5 (b) 18 : 45 (c) 5 : 2 (d) 3 : 6
  10. 10.₹1560 is shared between Kabir and Aditya in the ratio 5 : 7. How many rupees does Kabir get?
  11. 11.Write the ratio 4 : 6 in its simplest form. (a) 3 : 2 (b) 3 : 4 (c) 2 : 3 (d) 4 : 6
  12. 12.Are 12, 30, 18 and 46 in proportion? (a) Yes (b) No
  13. 13.Write the ratio 56 : 21 in its simplest form. (a) 3 : 8 (b) 56 : 21 (c) 8 : 3 (d) 9 : 4
  14. 14.₹300 is shared between Isha and Kabir in the ratio 3 : 7. How many rupees does Kabir get?
  15. 15.A scooter goes 400 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  16. 16.₹1680 is shared between Farhan and Rohan in the ratio 5 : 9. How many rupees does Farhan get?
  17. 17.5 : 8 = ? : 32
  18. 18.Are 12, 18, 16 and 24 in proportion? (a) No (b) Yes
  19. 19.Write the ratio 45 : 36 in its simplest form. (a) 6 : 5 (b) 4 : 5 (c) 45 : 36 (d) 5 : 4
  20. 20.₹1100 is shared between Meera and Lakshmi in the ratio 2 : 9. How many rupees does Lakshmi get?
  21. 21.2 : 9 = ? : 90
  22. 22.Write the ratio 12 : 18 in its simplest form. (a) 3 : 2 (b) 2 : 3 (c) 12 : 18 (d) 3 : 4
  23. 23.A library shelf has 12 storybooks and 54 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 2 (b) 3 : 10 (c) 2 : 9 (d) 12 : 54
  24. 24.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  25. 25.Are 42, 54, 14 and 19 in proportion? (a) Yes (b) No
  26. 26.Are 12, 28, 18 and 42 in proportion? (a) Yes (b) No
  27. 27.If 8 pens cost ₹160, how many rupees do 2 pens cost?
  28. 28.A box has 16 red pens and 40 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 2 (b) 3 : 6 (c) 16 : 40 (d) 2 : 5
  29. 29.Write the ratio 24 : 27 in its simplest form. (a) 8 : 9 (b) 9 : 8 (c) 24 : 27 (d) 9 : 10
  30. 30.A library shelf has 2 storybooks and 16 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 16 (b) 1 : 8 (c) 8 : 1 (d) 2 : 9
  31. 31.A class has 40 boys and 72 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 9 (b) 9 : 5 (c) 6 : 10 (d) 40 : 72
  32. 32.A scooter goes 250 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  33. 33.Are 2, 6, 3 and 9 in proportion? (a) No (b) Yes
  34. 34.If 5 ice creams cost ₹260, how many rupees do 9 ice creams cost?
  35. 35.7 : 9 = 70 : ?
  36. 36.₹300 is shared between Rohan and Vivaan in the ratio 1 : 9. How many rupees does Rohan get?
  37. 37.Write the ratio 3 : 9 in its simplest form. (a) 1 : 3 (b) 3 : 1 (c) 2 : 4 (d) 3 : 9
  38. 38.Write the ratio 10 : 4 in its simplest form. (a) 2 : 5 (b) 5 : 2 (c) 6 : 3 (d) 10 : 4
  39. 39.A basket has 32 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 3 (b) 3 : 4 (c) 32 : 24 (d) 5 : 4
  40. 40.Write the ratio 35 : 56 in its simplest form. (a) 35 : 56 (b) 8 : 5 (c) 6 : 9 (d) 5 : 8

Answer key

  1. 360
  2. 1260
  3. No
  4. 1 : 3
  5. 5 : 7
  6. 320
  7. 110
  8. Yes
  9. 2 : 5
  10. 650
  11. 2 : 3
  12. No
  13. 8 : 3
  14. 210
  15. 320
  16. 600
  17. 20
  18. Yes
  19. 5 : 4
  20. 900
  21. 20
  22. 2 : 3
  23. 2 : 9
  24. 325
  25. No
  26. Yes
  27. 40
  28. 2 : 5
  29. 8 : 9
  30. 1 : 8
  31. 5 : 9
  32. 50
  33. Yes
  34. 468
  35. 90
  36. 30
  37. 1 : 3
  38. 5 : 2
  39. 4 : 3
  40. 5 : 8

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