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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 94 · 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.If 3 notebooks cost ₹81, how many rupees do 2 notebooks cost?
  2. 2.A team has 10 batters and 16 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 9 (b) 8 : 5 (c) 10 : 16 (d) 5 : 8
  3. 3.Write the ratio 16 : 6 in its simplest form. (a) 8 : 3 (b) 16 : 6 (c) 3 : 8 (d) 9 : 4
  4. 4.Are 10, 14, 30 and 42 in proportion? (a) No (b) Yes
  5. 5.If 4 ice creams cost ₹16, how many rupees do 7 ice creams cost?
  6. 6.₹1440 is shared between Lakshmi and Saanvi in the ratio 2 : 7. How many rupees does Saanvi get?
  7. 7.Write the ratio 81 : 9 in its simplest form. (a) 1 : 9 (b) 9 : 1 (c) 10 : 2 (d) 81 : 9
  8. 8.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  9. 9.If 7 notebooks cost ₹56, how many rupees do 9 notebooks cost?
  10. 10.If 5 ice creams cost ₹85, how many rupees do 8 ice creams cost?
  11. 11.Write the ratio 16 : 56 in its simplest form. (a) 7 : 2 (b) 2 : 7 (c) 16 : 56 (d) 3 : 8
  12. 12.3 : 5 = 30 : ?
  13. 13.₹480 is shared between Aarav and Gurpreet in the ratio 7 : 9. How many rupees does Aarav get?
  14. 14.A train goes 130 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  15. 15.A garden has 24 rose plants and 54 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 10 (b) 24 : 54 (c) 4 : 9 (d) 9 : 4
  16. 16.₹420 is shared between Kabir and Diya in the ratio 3 : 4. How many rupees does Diya get?
  17. 17.A class has 16 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 4 (b) 5 : 10 (c) 16 : 36 (d) 4 : 9
  18. 18.₹1050 is shared between Diya and Aditya in the ratio 7 : 8. How many rupees does Diya get?
  19. 19.If 5 notebooks cost ₹120, how many rupees do 9 notebooks cost?
  20. 20.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  21. 21.Are 40, 45, 32 and 36 in proportion? (a) Yes (b) No
  22. 22.A train goes 270 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  23. 23.₹960 is shared between Farhan and Saanvi in the ratio 1 : 5. How many rupees does Saanvi get?
  24. 24.A scooter goes 120 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  25. 25.Write the ratio 15 : 21 in its simplest form. (a) 7 : 5 (b) 15 : 21 (c) 5 : 7 (d) 6 : 8
  26. 26.If 5 pens cost ₹190, how many rupees do 6 pens cost?
  27. 27.A box has 18 red pens and 4 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 9 (b) 10 : 3 (c) 18 : 4 (d) 9 : 2
  28. 28.A car goes 220 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  29. 29.5 : 7 = 35 : ?
  30. 30.If 3 bus tickets cost ₹81, how many rupees do 2 bus tickets cost?
  31. 31.Write the ratio 4 : 12 in its simplest form. (a) 1 : 3 (b) 2 : 4 (c) 4 : 12 (d) 3 : 1
  32. 32.If 3 chocolates cost ₹102, how many rupees do 2 chocolates cost?
  33. 33.5 : 8 = ? : 72
  34. 34.Write the ratio 6 : 30 in its simplest form. (a) 2 : 6 (b) 1 : 5 (c) 6 : 30 (d) 5 : 1
  35. 35.A scooter goes 160 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  36. 36.If 3 bus tickets cost ₹105, how many rupees do 11 bus tickets cost?
  37. 37.Write the ratio 72 : 40 in its simplest form. (a) 5 : 9 (b) 10 : 6 (c) 72 : 40 (d) 9 : 5
  38. 38.₹480 is shared between Ananya and Arjun in the ratio 1 : 7. How many rupees does Arjun get?
  39. 39.Write the ratio 5 : 15 in its simplest form. (a) 1 : 3 (b) 3 : 1 (c) 5 : 15 (d) 2 : 4
  40. 40.A scooter goes 175 km in 5 hours. At the same speed, how many km does it go in 7 hours?

Answer key

  1. 54
  2. 5 : 8
  3. 8 : 3
  4. Yes
  5. 28
  6. 1120
  7. 9 : 1
  8. 225
  9. 72
  10. 136
  11. 2 : 7
  12. 50
  13. 210
  14. 325
  15. 4 : 9
  16. 240
  17. 4 : 9
  18. 490
  19. 216
  20. 160
  21. Yes
  22. 225
  23. 800
  24. 240
  25. 5 : 7
  26. 228
  27. 9 : 2
  28. 165
  29. 49
  30. 54
  31. 1 : 3
  32. 68
  33. 45
  34. 1 : 5
  35. 640
  36. 385
  37. 9 : 5
  38. 420
  39. 1 : 3
  40. 245

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