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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 198 · 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 basket has 81 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 81 : 18 (b) 9 : 2 (c) 10 : 3 (d) 2 : 9
  2. 2.4 : 7 = ? : 49
  3. 3.5 : 7 = ? : 42
  4. 4.₹200 is shared between Farhan and Rohan in the ratio 1 : 3. How many rupees does Rohan get?
  5. 5.Write the ratio 9 : 24 in its simplest form. (a) 8 : 3 (b) 9 : 24 (c) 4 : 9 (d) 3 : 8
  6. 6.Are 12, 21, 24 and 45 in proportion? (a) Yes (b) No
  7. 7.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  8. 8.A class has 35 boys and 25 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 7 (b) 35 : 25 (c) 8 : 6 (d) 7 : 5
  9. 9.A scooter goes 160 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  10. 10.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  11. 11.A team has 20 batters and 35 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 8 (b) 4 : 7 (c) 20 : 35 (d) 7 : 4
  12. 12.2 : 3 = ? : 15
  13. 13.If 8 ice creams cost ₹392, how many rupees do 5 ice creams cost?
  14. 14.Are 6, 48, 5 and 40 in proportion? (a) Yes (b) No
  15. 15.Write the ratio 6 : 36 in its simplest form. (a) 6 : 1 (b) 6 : 36 (c) 1 : 6 (d) 2 : 7
  16. 16.If 2 bus tickets cost ₹114, how many rupees do 8 bus tickets cost?
  17. 17.Write the ratio 15 : 9 in its simplest form. (a) 3 : 5 (b) 15 : 9 (c) 6 : 4 (d) 5 : 3
  18. 18.A basket has 42 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 7 (b) 7 : 4 (c) 42 : 24 (d) 8 : 5
  19. 19.Are 12, 28, 9 and 23 in proportion? (a) No (b) Yes
  20. 20.₹50 is shared between Karan and Arjun in the ratio 2 : 3. How many rupees does Karan get?
  21. 21.₹360 is shared between Riya and Priya in the ratio 4 : 5. How many rupees does Priya get?
  22. 22.₹1920 is shared between Gurpreet and Dev in the ratio 7 : 9. How many rupees does Dev get?
  23. 23.A garden has 63 rose plants and 36 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 7 (b) 63 : 36 (c) 7 : 4 (d) 8 : 5
  24. 24.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  25. 25.A class has 12 boys and 9 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 3 (b) 12 : 9 (c) 3 : 4 (d) 5 : 4
  26. 26.If 8 notebooks cost ₹64, how many rupees do 10 notebooks cost?
  27. 27.A box has 48 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 1 (b) 48 : 6 (c) 1 : 8 (d) 9 : 2
  28. 28.A train goes 225 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  29. 29.1 : 4 = ? : 20
  30. 30.A bus goes 450 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  31. 31.2 : 3 = ? : 12
  32. 32.Are 10, 16, 45 and 72 in proportion? (a) No (b) Yes
  33. 33.A box has 5 red pens and 20 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 1 (b) 2 : 5 (c) 5 : 20 (d) 1 : 4
  34. 34.Are 16, 18, 56 and 63 in proportion? (a) No (b) Yes
  35. 35.₹1690 is shared between Dev and Meera in the ratio 4 : 9. How many rupees does Meera get?
  36. 36.A train goes 450 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  37. 37.₹1530 is shared between Zoya and Meera in the ratio 8 : 9. How many rupees does Meera get?
  38. 38.A bus goes 180 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  39. 39.₹390 is shared between Gurpreet and Farhan in the ratio 5 : 8. How many rupees does Farhan get?
  40. 40.1 : 3 = ? : 12

Answer key

  1. 9 : 2
  2. 28
  3. 30
  4. 150
  5. 3 : 8
  6. No
  7. 120
  8. 7 : 5
  9. 560
  10. 490
  11. 4 : 7
  12. 10
  13. 245
  14. Yes
  15. 1 : 6
  16. 456
  17. 5 : 3
  18. 7 : 4
  19. No
  20. 20
  21. 200
  22. 1080
  23. 7 : 4
  24. 520
  25. 4 : 3
  26. 80
  27. 8 : 1
  28. 300
  29. 5
  30. 75
  31. 8
  32. Yes
  33. 1 : 4
  34. Yes
  35. 1170
  36. 225
  37. 810
  38. 135
  39. 240
  40. 4

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