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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 41 · 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.

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  1. 1.A box has 24 red pens and 15 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 5 (b) 24 : 15 (c) 9 : 6 (d) 5 : 8
  2. 2.Are 10, 45, 4 and 18 in proportion? (a) No (b) Yes
  3. 3.1 : 6 = 2 : ?
  4. 4.A library shelf has 45 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 9 (b) 10 : 3 (c) 9 : 2 (d) 45 : 10
  5. 5.₹360 is shared between Kabir and Dev in the ratio 1 : 2. How many rupees does Dev get?
  6. 6.Write the ratio 6 : 4 in its simplest form. (a) 3 : 2 (b) 6 : 4 (c) 2 : 3 (d) 4 : 3
  7. 7.A bus goes 270 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  8. 8.₹520 is shared between Aarav and Kavya in the ratio 5 : 8. How many rupees does Kavya get?
  9. 9.4 : 5 = 16 : ?
  10. 10.A car goes 90 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  11. 11.Write the ratio 4 : 18 in its simplest form. (a) 9 : 2 (b) 2 : 9 (c) 4 : 18 (d) 3 : 10
  12. 12.Are 14, 18, 28 and 38 in proportion? (a) No (b) Yes
  13. 13.A car goes 105 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  14. 14.Are 12, 16, 18 and 27 in proportion? (a) Yes (b) No
  15. 15.If 3 pens cost ₹57, how many rupees do 7 pens cost?
  16. 16.A bus goes 160 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  17. 17.Write the ratio 2 : 4 in its simplest form. (a) 2 : 4 (b) 2 : 3 (c) 1 : 2 (d) 2 : 1
  18. 18.A library shelf has 10 storybooks and 25 science books. What is the ratio of storybooks to science books in its simplest form? (a) 10 : 25 (b) 2 : 5 (c) 3 : 6 (d) 5 : 2
  19. 19.Are 24, 30, 20 and 27 in proportion? (a) Yes (b) No
  20. 20.A car goes 175 km in 5 hours. At the same speed, how many km does it go in 8 hours?
  21. 21.Are 2, 14, 3 and 24 in proportion? (a) No (b) Yes
  22. 22.A bus goes 140 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  23. 23.If 6 pens cost ₹96, how many rupees do 3 pens cost?
  24. 24.If 7 chocolates cost ₹259, how many rupees do 12 chocolates cost?
  25. 25.₹1710 is shared between Riya and Sneha in the ratio 1 : 8. How many rupees does Riya get?
  26. 26.A scooter goes 240 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  27. 27.₹840 is shared between Isha and Tara in the ratio 2 : 5. How many rupees does Tara get?
  28. 28.8 : 9 = ? : 54
  29. 29.₹1210 is shared between Karan and Meera in the ratio 3 : 8. How many rupees does Meera get?
  30. 30.Write the ratio 54 : 6 in its simplest form. (a) 54 : 6 (b) 1 : 9 (c) 9 : 1 (d) 10 : 2
  31. 31.A car goes 120 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  32. 32.A team has 8 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 12 (b) 3 : 4 (c) 3 : 2 (d) 2 : 3
  33. 33.Write the ratio 18 : 16 in its simplest form. (a) 9 : 8 (b) 18 : 16 (c) 10 : 9 (d) 8 : 9
  34. 34.A library shelf has 7 storybooks and 42 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 6 (b) 7 : 42 (c) 2 : 7 (d) 6 : 1
  35. 35.A basket has 18 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 6 (b) 6 : 5 (c) 18 : 15 (d) 5 : 6
  36. 36.Are 4, 36, 3 and 27 in proportion? (a) Yes (b) No
  37. 37.If 8 notebooks cost ₹208, how many rupees do 12 notebooks cost?
  38. 38.If 6 ice creams cost ₹84, how many rupees do 4 ice creams cost?
  39. 39.Are 3, 12, 4 and 19 in proportion? (a) Yes (b) No
  40. 40.A car goes 375 km in 5 hours. At the same speed, how many km does it go in 2 hours?

Answer key

  1. 8 : 5
  2. Yes
  3. 12
  4. 9 : 2
  5. 240
  6. 3 : 2
  7. 45
  8. 320
  9. 20
  10. 270
  11. 2 : 9
  12. No
  13. 175
  14. No
  15. 133
  16. 320
  17. 1 : 2
  18. 2 : 5
  19. No
  20. 280
  21. No
  22. 490
  23. 48
  24. 444
  25. 190
  26. 160
  27. 600
  28. 48
  29. 880
  30. 9 : 1
  31. 210
  32. 2 : 3
  33. 9 : 8
  34. 1 : 6
  35. 6 : 5
  36. Yes
  37. 312
  38. 56
  39. No
  40. 150

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