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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 230 · 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.₹840 is shared between Saanvi and Arjun in the ratio 2 : 5. How many rupees does Arjun get?
  2. 2.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  3. 3.A bus goes 450 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  4. 4.A train goes 150 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  5. 5.4 : 7 = 12 : ?
  6. 6.A box has 32 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 3 (b) 32 : 12 (c) 3 : 8 (d) 9 : 4
  7. 7.A class has 27 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 27 : 63 (b) 4 : 8 (c) 7 : 3 (d) 3 : 7
  8. 8.₹1650 is shared between Vivaan and Isha in the ratio 5 : 6. How many rupees does Vivaan get?
  9. 9.A car goes 450 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  10. 10.4 : 9 = 28 : ?
  11. 11.A basket has 42 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 42 : 12 (b) 7 : 2 (c) 2 : 7 (d) 8 : 3
  12. 12.A scooter goes 120 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  13. 13.Are 3, 18, 5 and 30 in proportion? (a) No (b) Yes
  14. 14.A train goes 180 km in 6 hours. At the same speed, how many km does it go in 7 hours?
  15. 15.A class has 8 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 8 (b) 4 : 7 (c) 8 : 14 (d) 7 : 4
  16. 16.₹300 is shared between Dev and Sneha in the ratio 1 : 5. How many rupees does Sneha get?
  17. 17.Are 12, 27, 24 and 54 in proportion? (a) No (b) Yes
  18. 18.If 3 chocolates cost ₹18, how many rupees do 10 chocolates cost?
  19. 19.If 8 mangoes cost ₹208, how many rupees do 2 mangoes cost?
  20. 20.A box has 56 red pens and 40 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 56 : 40 (b) 5 : 7 (c) 7 : 5 (d) 8 : 6
  21. 21.Are 16, 20, 20 and 27 in proportion? (a) No (b) Yes
  22. 22.A car goes 150 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  23. 23.A car goes 220 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  24. 24.2 : 5 = 18 : ?
  25. 25.Write the ratio 2 : 18 in its simplest form. (a) 1 : 9 (b) 9 : 1 (c) 2 : 18 (d) 2 : 10
  26. 26.7 : 9 = 35 : ?
  27. 27.If 2 bus tickets cost ₹68, how many rupees do 10 bus tickets cost?
  28. 28.A scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  29. 29.1 : 9 = ? : 72
  30. 30.A bus goes 225 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  31. 31.A train goes 320 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  32. 32.A bus goes 180 km in 4 hours. At the same speed, how many km does it go in 5 hours?
  33. 33.4 : 5 = ? : 45
  34. 34.Are 6, 54, 2 and 18 in proportion? (a) No (b) Yes
  35. 35.A class has 6 boys and 2 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 2 (b) 3 : 1 (c) 4 : 2 (d) 1 : 3
  36. 36.₹200 is shared between Kabir and Rohan in the ratio 2 : 3. How many rupees does Kabir get?
  37. 37.A team has 56 batters and 72 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 9 (b) 56 : 72 (c) 9 : 7 (d) 8 : 10
  38. 38.A bus goes 450 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  39. 39.A basket has 42 mangoes and 7 apples. What is the ratio of mangoes to apples in its simplest form? (a) 42 : 7 (b) 7 : 2 (c) 1 : 6 (d) 6 : 1
  40. 40.Write the ratio 16 : 6 in its simplest form. (a) 16 : 6 (b) 9 : 4 (c) 3 : 8 (d) 8 : 3

Answer key

  1. 600
  2. 220
  3. 75
  4. 75
  5. 21
  6. 8 : 3
  7. 3 : 7
  8. 750
  9. 300
  10. 63
  11. 7 : 2
  12. 200
  13. Yes
  14. 210
  15. 4 : 7
  16. 250
  17. Yes
  18. 60
  19. 52
  20. 7 : 5
  21. No
  22. 450
  23. 385
  24. 45
  25. 1 : 9
  26. 45
  27. 340
  28. 120
  29. 8
  30. 90
  31. 640
  32. 225
  33. 36
  34. Yes
  35. 3 : 1
  36. 80
  37. 7 : 9
  38. 375
  39. 6 : 1
  40. 8 : 3

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