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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 326 · 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.If 9 chocolates cost ₹162, how many rupees do 3 chocolates cost?
  2. 2.A library shelf has 10 storybooks and 35 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 2 (b) 10 : 35 (c) 3 : 8 (d) 2 : 7
  3. 3.Write the ratio 18 : 6 in its simplest form. (a) 18 : 6 (b) 3 : 1 (c) 4 : 2 (d) 1 : 3
  4. 4.Write the ratio 72 : 45 in its simplest form. (a) 9 : 6 (b) 72 : 45 (c) 8 : 5 (d) 5 : 8
  5. 5.₹560 is shared between Aditya and Priya in the ratio 1 : 7. How many rupees does Aditya get?
  6. 6.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  7. 7.A library shelf has 14 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 7 (b) 7 : 9 (c) 14 : 18 (d) 8 : 10
  8. 8.₹240 is shared between Vivaan and Farhan in the ratio 1 : 7. How many rupees does Farhan get?
  9. 9.₹1300 is shared between Kabir and Tara in the ratio 1 : 9. How many rupees does Tara get?
  10. 10.₹210 is shared between Kavya and Dev in the ratio 3 : 4. How many rupees does Kavya get?
  11. 11.₹1170 is shared between Ishaan and Farhan in the ratio 1 : 8. How many rupees does Farhan get?
  12. 12.A class has 30 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 30 : 6 (b) 6 : 2 (c) 5 : 1 (d) 1 : 5
  13. 13.A bus goes 350 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  14. 14.5 : 7 = 20 : ?
  15. 15.Write the ratio 54 : 63 in its simplest form. (a) 7 : 6 (b) 7 : 8 (c) 54 : 63 (d) 6 : 7
  16. 16.A box has 24 red pens and 4 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 1 : 6 (b) 24 : 4 (c) 7 : 2 (d) 6 : 1
  17. 17.Write the ratio 30 : 42 in its simplest form. (a) 6 : 8 (b) 30 : 42 (c) 5 : 7 (d) 7 : 5
  18. 18.Are 4, 20, 2 and 10 in proportion? (a) Yes (b) No
  19. 19.Are 16, 18, 24 and 27 in proportion? (a) No (b) Yes
  20. 20.Write the ratio 36 : 27 in its simplest form. (a) 5 : 4 (b) 36 : 27 (c) 4 : 3 (d) 3 : 4
  21. 21.Write the ratio 28 : 12 in its simplest form. (a) 7 : 3 (b) 28 : 12 (c) 8 : 4 (d) 3 : 7
  22. 22.A box has 40 red pens and 64 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 40 : 64 (b) 8 : 5 (c) 6 : 9 (d) 5 : 8
  23. 23.₹240 is shared between Manav and Zoya in the ratio 5 : 7. How many rupees does Zoya get?
  24. 24.If 6 ice creams cost ₹162, how many rupees do 12 ice creams cost?
  25. 25.₹480 is shared between Kavya and Rahul in the ratio 7 : 9. How many rupees does Kavya get?
  26. 26.Write the ratio 4 : 12 in its simplest form. (a) 4 : 12 (b) 1 : 3 (c) 3 : 1 (d) 2 : 4
  27. 27.Write the ratio 6 : 27 in its simplest form. (a) 6 : 27 (b) 2 : 9 (c) 9 : 2 (d) 3 : 10
  28. 28.Write the ratio 54 : 48 in its simplest form. (a) 8 : 9 (b) 9 : 8 (c) 10 : 9 (d) 54 : 48
  29. 29.Are 6, 24, 8 and 33 in proportion? (a) No (b) Yes
  30. 30.A library shelf has 16 storybooks and 24 science books. What is the ratio of storybooks to science books in its simplest form? (a) 16 : 24 (b) 3 : 2 (c) 3 : 4 (d) 2 : 3
  31. 31.₹900 is shared between Aditya and Aarav in the ratio 2 : 3. How many rupees does Aditya get?
  32. 32.A scooter goes 130 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  33. 33.1 : 4 = 7 : ?
  34. 34.3 : 5 = ? : 20
  35. 35.If 4 bus tickets cost ₹160, how many rupees do 12 bus tickets cost?
  36. 36.A box has 40 red pens and 24 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 3 (b) 3 : 5 (c) 6 : 4 (d) 40 : 24
  37. 37.₹150 is shared between Diya and Aarav in the ratio 2 : 3. How many rupees does Diya get?
  38. 38.If 9 bus tickets cost ₹441, how many rupees do 5 bus tickets cost?
  39. 39.A class has 3 boys and 27 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 27 (b) 2 : 10 (c) 1 : 9 (d) 9 : 1
  40. 40.Write the ratio 2 : 6 in its simplest form. (a) 1 : 3 (b) 2 : 6 (c) 3 : 1 (d) 2 : 4

Answer key

  1. 54
  2. 2 : 7
  3. 3 : 1
  4. 8 : 5
  5. 70
  6. 195
  7. 7 : 9
  8. 210
  9. 1170
  10. 90
  11. 1040
  12. 5 : 1
  13. 280
  14. 28
  15. 6 : 7
  16. 6 : 1
  17. 5 : 7
  18. Yes
  19. Yes
  20. 4 : 3
  21. 7 : 3
  22. 5 : 8
  23. 140
  24. 324
  25. 210
  26. 1 : 3
  27. 2 : 9
  28. 9 : 8
  29. No
  30. 2 : 3
  31. 360
  32. 65
  33. 28
  34. 12
  35. 480
  36. 5 : 3
  37. 60
  38. 245
  39. 1 : 9
  40. 1 : 3

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