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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 28 · 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.A train goes 100 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  2. 2.Write the ratio 42 : 49 in its simplest form. (a) 6 : 7 (b) 7 : 6 (c) 7 : 8 (d) 42 : 49
  3. 3.If 8 mangoes cost ₹328, how many rupees do 11 mangoes cost?
  4. 4.A train goes 160 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  5. 5.A scooter goes 200 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  6. 6.Write the ratio 42 : 48 in its simplest form. (a) 8 : 7 (b) 8 : 9 (c) 42 : 48 (d) 7 : 8
  7. 7.A bus goes 120 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  8. 8.₹360 is shared between Ishaan and Saanvi in the ratio 4 : 5. How many rupees does Saanvi get?
  9. 9.Write the ratio 28 : 12 in its simplest form. (a) 8 : 4 (b) 7 : 3 (c) 3 : 7 (d) 28 : 12
  10. 10.A car goes 420 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  11. 11.A class has 18 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 18 : 6 (b) 1 : 3 (c) 4 : 2 (d) 3 : 1
  12. 12.A garden has 14 rose plants and 7 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 14 : 7 (b) 2 : 1 (c) 1 : 2 (d) 3 : 2
  13. 13.₹1500 is shared between Pooja and Riya in the ratio 3 : 7. How many rupees does Pooja get?
  14. 14.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  15. 15.₹2210 is shared between Dev and Aarav in the ratio 5 : 8. How many rupees does Aarav get?
  16. 16.Write the ratio 45 : 18 in its simplest form. (a) 45 : 18 (b) 5 : 2 (c) 2 : 5 (d) 6 : 3
  17. 17.If 9 notebooks cost ₹162, how many rupees do 7 notebooks cost?
  18. 18.A garden has 4 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 2 (b) 3 : 6 (c) 2 : 5 (d) 4 : 10
  19. 19.A team has 24 batters and 64 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 9 (b) 3 : 8 (c) 24 : 64 (d) 8 : 3
  20. 20.A train goes 90 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  21. 21.A train goes 200 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  22. 22.A car goes 150 km in 5 hours. At the same speed, how many km does it go in 8 hours?
  23. 23.8 : 9 = 72 : ?
  24. 24.₹2210 is shared between Priya and Meera in the ratio 4 : 9. How many rupees does Priya get?
  25. 25.₹910 is shared between Saanvi and Kabir in the ratio 4 : 9. How many rupees does Saanvi get?
  26. 26.Are 5, 35, 8 and 59 in proportion? (a) Yes (b) No
  27. 27.1 : 9 = 5 : ?
  28. 28.3 : 5 = 6 : ?
  29. 29.A class has 8 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 9 (b) 3 : 10 (c) 8 : 36 (d) 9 : 2
  30. 30.Write the ratio 42 : 24 in its simplest form. (a) 7 : 4 (b) 4 : 7 (c) 42 : 24 (d) 8 : 5
  31. 31.₹550 is shared between Rohan and Sneha in the ratio 1 : 4. How many rupees does Sneha get?
  32. 32.Write the ratio 24 : 30 in its simplest form. (a) 24 : 30 (b) 4 : 5 (c) 5 : 6 (d) 5 : 4
  33. 33.A class has 10 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 9 (b) 3 : 10 (c) 10 : 45 (d) 9 : 2
  34. 34.A team has 30 batters and 25 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 6 (b) 6 : 5 (c) 7 : 6 (d) 30 : 25
  35. 35.3 : 5 = 9 : ?
  36. 36.2 : 7 = ? : 28
  37. 37.A train goes 350 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  38. 38.₹1900 is shared between Gurpreet and Kabir in the ratio 1 : 9. How many rupees does Gurpreet get?
  39. 39.Write the ratio 9 : 18 in its simplest form. (a) 9 : 18 (b) 2 : 3 (c) 2 : 1 (d) 1 : 2
  40. 40.Are 10, 14, 30 and 43 in proportion? (a) Yes (b) No

Answer key

  1. 400
  2. 6 : 7
  3. 451
  4. 320
  5. 150
  6. 7 : 8
  7. 280
  8. 200
  9. 7 : 3
  10. 140
  11. 3 : 1
  12. 2 : 1
  13. 450
  14. 240
  15. 1360
  16. 5 : 2
  17. 126
  18. 2 : 5
  19. 3 : 8
  20. 210
  21. 80
  22. 240
  23. 81
  24. 680
  25. 280
  26. No
  27. 45
  28. 10
  29. 2 : 9
  30. 7 : 4
  31. 440
  32. 4 : 5
  33. 2 : 9
  34. 6 : 5
  35. 15
  36. 8
  37. 140
  38. 190
  39. 1 : 2
  40. No

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