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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 87 · 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.Are 3, 12, 9 and 36 in proportion? (a) Yes (b) No
  2. 2.A scooter goes 105 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  3. 3.Are 4, 24, 2 and 13 in proportion? (a) No (b) Yes
  4. 4.A class has 6 boys and 9 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 3 (b) 3 : 4 (c) 6 : 9 (d) 3 : 2
  5. 5.A library shelf has 8 storybooks and 28 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 28 (b) 2 : 7 (c) 7 : 2 (d) 3 : 8
  6. 6.₹150 is shared between Arjun and Lakshmi in the ratio 1 : 2. How many rupees does Arjun get?
  7. 7.Write the ratio 42 : 7 in its simplest form. (a) 1 : 6 (b) 7 : 2 (c) 42 : 7 (d) 6 : 1
  8. 8.Write the ratio 21 : 6 in its simplest form. (a) 21 : 6 (b) 8 : 3 (c) 2 : 7 (d) 7 : 2
  9. 9.Write the ratio 45 : 54 in its simplest form. (a) 6 : 7 (b) 5 : 6 (c) 6 : 5 (d) 45 : 54
  10. 10.Write the ratio 10 : 12 in its simplest form. (a) 6 : 5 (b) 6 : 7 (c) 5 : 6 (d) 10 : 12
  11. 11.7 : 9 = 35 : ?
  12. 12.3 : 7 = 6 : ?
  13. 13.₹1330 is shared between Joseph and Saanvi in the ratio 2 : 5. How many rupees does Joseph get?
  14. 14.A team has 45 batters and 25 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 10 : 6 (b) 45 : 25 (c) 9 : 5 (d) 5 : 9
  15. 15.A scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  16. 16.Write the ratio 64 : 56 in its simplest form. (a) 64 : 56 (b) 7 : 8 (c) 8 : 7 (d) 9 : 8
  17. 17.₹1040 is shared between Ananya and Saanvi in the ratio 6 : 7. How many rupees does Saanvi get?
  18. 18.₹360 is shared between Kavya and Isha in the ratio 2 : 7. How many rupees does Kavya get?
  19. 19.A library shelf has 20 storybooks and 32 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 8 (b) 6 : 9 (c) 20 : 32 (d) 8 : 5
  20. 20.Are 8, 36, 4 and 21 in proportion? (a) Yes (b) No
  21. 21.A scooter goes 120 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  22. 22.1 : 9 = ? : 63
  23. 23.₹90 is shared between Zoya and Diya in the ratio 1 : 2. How many rupees does Zoya get?
  24. 24.Are 12, 15, 28 and 36 in proportion? (a) Yes (b) No
  25. 25.A car goes 250 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  26. 26.A box has 15 red pens and 25 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 15 : 25 (b) 3 : 5 (c) 4 : 6 (d) 5 : 3
  27. 27.A bus goes 160 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  28. 28.A basket has 2 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 8 (b) 2 : 14 (c) 7 : 1 (d) 1 : 7
  29. 29.3 : 4 = 21 : ?
  30. 30.Write the ratio 42 : 12 in its simplest form. (a) 2 : 7 (b) 8 : 3 (c) 42 : 12 (d) 7 : 2
  31. 31.₹1440 is shared between Arjun and Kavya in the ratio 2 : 7. How many rupees does Kavya get?
  32. 32.Write the ratio 6 : 2 in its simplest form. (a) 1 : 3 (b) 6 : 2 (c) 4 : 2 (d) 3 : 1
  33. 33.A bus goes 260 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  34. 34.A car goes 80 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  35. 35.A team has 4 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 3 (b) 3 : 1 (c) 4 : 12 (d) 2 : 4
  36. 36.Are 5, 20, 7 and 31 in proportion? (a) Yes (b) No
  37. 37.If 5 pens cost ₹25, how many rupees do 4 pens cost?
  38. 38.Write the ratio 27 : 9 in its simplest form. (a) 3 : 1 (b) 4 : 2 (c) 27 : 9 (d) 1 : 3
  39. 39.Write the ratio 63 : 14 in its simplest form. (a) 9 : 2 (b) 10 : 3 (c) 2 : 9 (d) 63 : 14
  40. 40.₹2240 is shared between Dev and Pooja in the ratio 5 : 9. How many rupees does Pooja get?

Answer key

  1. Yes
  2. 70
  3. No
  4. 2 : 3
  5. 2 : 7
  6. 50
  7. 6 : 1
  8. 7 : 2
  9. 5 : 6
  10. 5 : 6
  11. 45
  12. 14
  13. 380
  14. 9 : 5
  15. 240
  16. 8 : 7
  17. 560
  18. 80
  19. 5 : 8
  20. No
  21. 480
  22. 7
  23. 30
  24. No
  25. 100
  26. 3 : 5
  27. 120
  28. 1 : 7
  29. 28
  30. 7 : 2
  31. 1120
  32. 3 : 1
  33. 520
  34. 160
  35. 1 : 3
  36. No
  37. 20
  38. 3 : 1
  39. 9 : 2
  40. 1440

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