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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 395 · 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.₹1980 is shared between Vivaan and Meera in the ratio 5 : 6. How many rupees does Vivaan get?
  2. 2.A library shelf has 18 storybooks and 27 science books. What is the ratio of storybooks to science books in its simplest form? (a) 18 : 27 (b) 3 : 4 (c) 3 : 2 (d) 2 : 3
  3. 3.Write the ratio 72 : 40 in its simplest form. (a) 5 : 9 (b) 72 : 40 (c) 10 : 6 (d) 9 : 5
  4. 4.A team has 15 batters and 9 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 4 (b) 3 : 5 (c) 15 : 9 (d) 5 : 3
  5. 5.Write the ratio 2 : 16 in its simplest form. (a) 2 : 9 (b) 1 : 8 (c) 2 : 16 (d) 8 : 1
  6. 6.A team has 5 batters and 45 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 10 (b) 5 : 45 (c) 1 : 9 (d) 9 : 1
  7. 7.A car goes 240 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  8. 8.Are 30, 54, 25 and 47 in proportion? (a) No (b) Yes
  9. 9.₹2210 is shared between Farhan and Kabir in the ratio 5 : 8. How many rupees does Kabir get?
  10. 10.A class has 5 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 45 (b) 9 : 1 (c) 1 : 9 (d) 2 : 10
  11. 11.Write the ratio 30 : 48 in its simplest form. (a) 6 : 9 (b) 30 : 48 (c) 8 : 5 (d) 5 : 8
  12. 12.A box has 56 red pens and 49 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 7 (b) 9 : 8 (c) 7 : 8 (d) 56 : 49
  13. 13.Write the ratio 24 : 15 in its simplest form. (a) 24 : 15 (b) 8 : 5 (c) 9 : 6 (d) 5 : 8
  14. 14.Write the ratio 21 : 28 in its simplest form. (a) 3 : 4 (b) 4 : 5 (c) 21 : 28 (d) 4 : 3
  15. 15.If 2 bus tickets cost ₹94, how many rupees do 5 bus tickets cost?
  16. 16.Write the ratio 27 : 18 in its simplest form. (a) 27 : 18 (b) 3 : 2 (c) 2 : 3 (d) 4 : 3
  17. 17.Are 10, 12, 20 and 24 in proportion? (a) No (b) Yes
  18. 18.A class has 15 boys and 9 girls. What is the ratio of boys to girls in its simplest form? (a) 15 : 9 (b) 6 : 4 (c) 3 : 5 (d) 5 : 3
  19. 19.If 6 mangoes cost ₹138, how many rupees do 11 mangoes cost?
  20. 20.₹240 is shared between Farhan and Arjun in the ratio 1 : 2. How many rupees does Arjun get?
  21. 21.Write the ratio 8 : 18 in its simplest form. (a) 8 : 18 (b) 4 : 9 (c) 5 : 10 (d) 9 : 4
  22. 22.Are 4, 28, 7 and 51 in proportion? (a) Yes (b) No
  23. 23.₹720 is shared between Ananya and Meera in the ratio 1 : 7. How many rupees does Ananya get?
  24. 24.A train goes 390 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  25. 25.Write the ratio 9 : 24 in its simplest form. (a) 9 : 24 (b) 3 : 8 (c) 8 : 3 (d) 4 : 9
  26. 26.A garden has 30 rose plants and 54 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 10 (b) 9 : 5 (c) 30 : 54 (d) 5 : 9
  27. 27.₹600 is shared between Vivaan and Rohan in the ratio 1 : 2. How many rupees does Vivaan get?
  28. 28.If 7 bus tickets cost ₹147, how many rupees do 8 bus tickets cost?
  29. 29.Are 6, 27, 4 and 21 in proportion? (a) Yes (b) No
  30. 30.A team has 24 batters and 27 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 9 (b) 9 : 10 (c) 9 : 8 (d) 24 : 27
  31. 31.Are 24, 42, 16 and 29 in proportion? (a) Yes (b) No
  32. 32.3 : 7 = ? : 56
  33. 33.Are 24, 27, 64 and 72 in proportion? (a) Yes (b) No
  34. 34.₹540 is shared between Joseph and Farhan in the ratio 4 : 5. How many rupees does Farhan get?
  35. 35.If 6 bus tickets cost ₹348, how many rupees do 5 bus tickets cost?
  36. 36.7 : 9 = ? : 81
  37. 37.₹910 is shared between Karan and Aarav in the ratio 5 : 8. How many rupees does Karan get?
  38. 38.₹770 is shared between Arjun and Diya in the ratio 3 : 4. How many rupees does Diya get?
  39. 39.Write the ratio 20 : 28 in its simplest form. (a) 7 : 5 (b) 20 : 28 (c) 5 : 7 (d) 6 : 8
  40. 40.Write the ratio 49 : 14 in its simplest form. (a) 49 : 14 (b) 8 : 3 (c) 2 : 7 (d) 7 : 2

Answer key

  1. 900
  2. 2 : 3
  3. 9 : 5
  4. 5 : 3
  5. 1 : 8
  6. 1 : 9
  7. 80
  8. No
  9. 1360
  10. 1 : 9
  11. 5 : 8
  12. 8 : 7
  13. 8 : 5
  14. 3 : 4
  15. 235
  16. 3 : 2
  17. Yes
  18. 5 : 3
  19. 253
  20. 160
  21. 4 : 9
  22. No
  23. 90
  24. 130
  25. 3 : 8
  26. 5 : 9
  27. 200
  28. 168
  29. No
  30. 8 : 9
  31. No
  32. 24
  33. Yes
  34. 300
  35. 290
  36. 63
  37. 350
  38. 440
  39. 5 : 7
  40. 7 : 2

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