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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 368 · 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. 1.1 : 4 = 9 : ?
  2. 2.Are 12, 21, 8 and 15 in proportion? (a) Yes (b) No
  3. 3.If 9 chocolates cost ₹243, how many rupees do 3 chocolates cost?
  4. 4.₹1400 is shared between Ishaan and Farhan in the ratio 3 : 7. How many rupees does Farhan get?
  5. 5.Write the ratio 45 : 10 in its simplest form. (a) 2 : 9 (b) 10 : 3 (c) 9 : 2 (d) 45 : 10
  6. 6.A library shelf has 81 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 10 : 3 (b) 2 : 9 (c) 81 : 18 (d) 9 : 2
  7. 7.₹1350 is shared between Priya and Tara in the ratio 4 : 5. How many rupees does Priya get?
  8. 8.Are 12, 18, 6 and 9 in proportion? (a) Yes (b) No
  9. 9.A scooter goes 120 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  10. 10.Are 21, 27, 35 and 45 in proportion? (a) Yes (b) No
  11. 11.A scooter goes 270 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  12. 12.Write the ratio 15 : 10 in its simplest form. (a) 4 : 3 (b) 15 : 10 (c) 3 : 2 (d) 2 : 3
  13. 13.If 4 ice creams cost ₹128, how many rupees do 12 ice creams cost?
  14. 14.Write the ratio 35 : 21 in its simplest form. (a) 5 : 3 (b) 3 : 5 (c) 6 : 4 (d) 35 : 21
  15. 15.4 : 7 = 28 : ?
  16. 16.4 : 7 = ? : 28
  17. 17.₹680 is shared between Kavya and Rahul in the ratio 8 : 9. How many rupees does Kavya get?
  18. 18.₹480 is shared between Arjun and Kavya in the ratio 5 : 7. How many rupees does Arjun get?
  19. 19.Write the ratio 18 : 81 in its simplest form. (a) 9 : 2 (b) 18 : 81 (c) 3 : 10 (d) 2 : 9
  20. 20.A class has 16 boys and 40 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 2 (b) 2 : 5 (c) 16 : 40 (d) 3 : 6
  21. 21.If 8 notebooks cost ₹472, how many rupees do 3 notebooks cost?
  22. 22.Write the ratio 20 : 4 in its simplest form. (a) 5 : 1 (b) 20 : 4 (c) 1 : 5 (d) 6 : 2
  23. 23.Write the ratio 12 : 28 in its simplest form. (a) 4 : 8 (b) 12 : 28 (c) 3 : 7 (d) 7 : 3
  24. 24.₹480 is shared between Aarav and Ishaan in the ratio 1 : 2. How many rupees does Ishaan get?
  25. 25.Are 6, 24, 4 and 17 in proportion? (a) No (b) Yes
  26. 26.Are 10, 15, 8 and 14 in proportion? (a) No (b) Yes
  27. 27.₹770 is shared between Vivaan and Rahul in the ratio 2 : 5. How many rupees does Vivaan get?
  28. 28.A class has 12 boys and 42 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 8 (b) 12 : 42 (c) 7 : 2 (d) 2 : 7
  29. 29.A basket has 21 mangoes and 7 apples. What is the ratio of mangoes to apples in its simplest form? (a) 21 : 7 (b) 3 : 1 (c) 1 : 3 (d) 4 : 2
  30. 30.A team has 24 batters and 4 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 6 (b) 7 : 2 (c) 6 : 1 (d) 24 : 4
  31. 31.If 5 pens cost ₹20, how many rupees do 4 pens cost?
  32. 32.₹450 is shared between Aditya and Manav in the ratio 1 : 8. How many rupees does Aditya get?
  33. 33.₹2470 is shared between Isha and Rohan in the ratio 5 : 8. How many rupees does Rohan get?
  34. 34.Write the ratio 4 : 12 in its simplest form. (a) 4 : 12 (b) 2 : 4 (c) 3 : 1 (d) 1 : 3
  35. 35.₹720 is shared between Priya and Gurpreet in the ratio 1 : 7. How many rupees does Gurpreet get?
  36. 36.Write the ratio 8 : 12 in its simplest form. (a) 3 : 2 (b) 8 : 12 (c) 3 : 4 (d) 2 : 3
  37. 37.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  38. 38.A library shelf has 63 storybooks and 28 science books. What is the ratio of storybooks to science books in its simplest form? (a) 63 : 28 (b) 10 : 5 (c) 4 : 9 (d) 9 : 4
  39. 39.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  40. 40.Are 15, 18, 45 and 54 in proportion? (a) No (b) Yes

Answer key

  1. 36
  2. No
  3. 81
  4. 980
  5. 9 : 2
  6. 9 : 2
  7. 600
  8. Yes
  9. 420
  10. Yes
  11. 135
  12. 3 : 2
  13. 384
  14. 5 : 3
  15. 49
  16. 16
  17. 320
  18. 200
  19. 2 : 9
  20. 2 : 5
  21. 177
  22. 5 : 1
  23. 3 : 7
  24. 320
  25. No
  26. No
  27. 220
  28. 2 : 7
  29. 3 : 1
  30. 6 : 1
  31. 16
  32. 50
  33. 1520
  34. 1 : 3
  35. 630
  36. 2 : 3
  37. 330
  38. 9 : 4
  39. 210
  40. Yes

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