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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 137 · 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.₹1500 is shared between Rohan and Vivaan in the ratio 1 : 9. How many rupees does Rohan get?
  2. 2.A scooter goes 120 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  3. 3.4 : 7 = 28 : ?
  4. 4.Are 8, 14, 12 and 21 in proportion? (a) Yes (b) No
  5. 5.₹880 is shared between Ananya and Riya in the ratio 2 : 9. How many rupees does Riya get?
  6. 6.Write the ratio 81 : 36 in its simplest form. (a) 81 : 36 (b) 10 : 5 (c) 4 : 9 (d) 9 : 4
  7. 7.4 : 7 = ? : 42
  8. 8.3 : 4 = 6 : ?
  9. 9.1 : 5 = 3 : ?
  10. 10.A library shelf has 4 storybooks and 32 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 1 (b) 2 : 9 (c) 4 : 32 (d) 1 : 8
  11. 11.A class has 45 boys and 40 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 9 (b) 45 : 40 (c) 9 : 8 (d) 8 : 9
  12. 12.If 2 bus tickets cost ₹94, how many rupees do 5 bus tickets cost?
  13. 13.A team has 15 batters and 5 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 2 (b) 3 : 1 (c) 1 : 3 (d) 15 : 5
  14. 14.₹2200 is shared between Saanvi and Kavya in the ratio 2 : 9. How many rupees does Saanvi get?
  15. 15.1 : 7 = 4 : ?
  16. 16.If 8 ice creams cost ₹96, how many rupees do 3 ice creams cost?
  17. 17.Are 15, 27, 25 and 45 in proportion? (a) Yes (b) No
  18. 18.A train goes 360 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  19. 19.₹160 is shared between Aditya and Sneha in the ratio 1 : 7. How many rupees does Sneha get?
  20. 20.2 : 3 = 12 : ?
  21. 21.A car goes 225 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  22. 22.A scooter goes 100 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  23. 23.If 3 mangoes cost ₹30, how many rupees do 7 mangoes cost?
  24. 24.4 : 9 = ? : 27
  25. 25.3 : 4 = ? : 12
  26. 26.Write the ratio 21 : 12 in its simplest form. (a) 7 : 4 (b) 21 : 12 (c) 8 : 5 (d) 4 : 7
  27. 27.Are 18, 21, 42 and 51 in proportion? (a) No (b) Yes
  28. 28.Write the ratio 9 : 6 in its simplest form. (a) 9 : 6 (b) 2 : 3 (c) 4 : 3 (d) 3 : 2
  29. 29.A garden has 12 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 2 (b) 1 : 3 (c) 12 : 4 (d) 3 : 1
  30. 30.4 : 5 = ? : 50
  31. 31.If 9 mangoes cost ₹198, how many rupees do 10 mangoes cost?
  32. 32.If 5 bus tickets cost ₹90, how many rupees do 6 bus tickets cost?
  33. 33.If 6 ice creams cost ₹66, how many rupees do 3 ice creams cost?
  34. 34.3 : 8 = ? : 16
  35. 35.Are 32, 36, 24 and 29 in proportion? (a) No (b) Yes
  36. 36.If 8 bus tickets cost ₹328, how many rupees do 7 bus tickets cost?
  37. 37.A scooter goes 160 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  38. 38.Are 8, 14, 32 and 56 in proportion? (a) Yes (b) No
  39. 39.8 : 9 = ? : 81
  40. 40.Are 8, 20, 10 and 25 in proportion? (a) No (b) Yes

Answer key

  1. 150
  2. 210
  3. 49
  4. Yes
  5. 720
  6. 9 : 4
  7. 24
  8. 8
  9. 15
  10. 1 : 8
  11. 9 : 8
  12. 235
  13. 3 : 1
  14. 400
  15. 28
  16. 36
  17. Yes
  18. 480
  19. 140
  20. 18
  21. 600
  22. 250
  23. 70
  24. 12
  25. 9
  26. 7 : 4
  27. No
  28. 3 : 2
  29. 3 : 1
  30. 40
  31. 220
  32. 108
  33. 33
  34. 6
  35. No
  36. 287
  37. 40
  38. Yes
  39. 72
  40. Yes

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