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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 174 · 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 library shelf has 56 storybooks and 64 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 7 (b) 8 : 9 (c) 7 : 8 (d) 56 : 64
  2. 2.1 : 3 = 3 : ?
  3. 3.2 : 5 = ? : 10
  4. 4.Are 6, 8, 15 and 21 in proportion? (a) Yes (b) No
  5. 5.A train goes 130 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  6. 6.A library shelf has 3 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 3 (b) 1 : 2 (c) 3 : 6 (d) 2 : 1
  7. 7.2 : 3 = 4 : ?
  8. 8.Are 4, 12, 8 and 27 in proportion? (a) Yes (b) No
  9. 9.Write the ratio 36 : 28 in its simplest form. (a) 9 : 7 (b) 36 : 28 (c) 7 : 9 (d) 10 : 8
  10. 10.Write the ratio 8 : 24 in its simplest form. (a) 2 : 4 (b) 8 : 24 (c) 3 : 1 (d) 1 : 3
  11. 11.₹200 is shared between Arjun and Lakshmi in the ratio 2 : 3. How many rupees does Arjun get?
  12. 12.Write the ratio 14 : 18 in its simplest form. (a) 8 : 10 (b) 7 : 9 (c) 14 : 18 (d) 9 : 7
  13. 13.If 4 notebooks cost ₹188, how many rupees do 8 notebooks cost?
  14. 14.If 4 chocolates cost ₹16, how many rupees do 10 chocolates cost?
  15. 15.A garden has 8 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 10 (b) 5 : 4 (c) 5 : 6 (d) 4 : 5
  16. 16.₹1920 is shared between Gurpreet and Riya in the ratio 7 : 9. How many rupees does Gurpreet get?
  17. 17.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  18. 18.If 8 chocolates cost ₹272, how many rupees do 5 chocolates cost?
  19. 19.Are 3, 6, 6 and 15 in proportion? (a) Yes (b) No
  20. 20.Write the ratio 20 : 12 in its simplest form. (a) 20 : 12 (b) 5 : 3 (c) 3 : 5 (d) 6 : 4
  21. 21.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  22. 22.5 : 7 = 35 : ?
  23. 23.Are 4, 10, 6 and 15 in proportion? (a) No (b) Yes
  24. 24.Write the ratio 48 : 18 in its simplest form. (a) 48 : 18 (b) 9 : 4 (c) 3 : 8 (d) 8 : 3
  25. 25.7 : 8 = ? : 56
  26. 26.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  27. 27.7 : 8 = 63 : ?
  28. 28.Write the ratio 28 : 8 in its simplest form. (a) 28 : 8 (b) 7 : 2 (c) 2 : 7 (d) 8 : 3
  29. 29.4 : 9 = ? : 27
  30. 30.2 : 9 = 14 : ?
  31. 31.If 3 bus tickets cost ₹117, how many rupees do 7 bus tickets cost?
  32. 32.5 : 8 = 15 : ?
  33. 33.If 4 chocolates cost ₹180, how many rupees do 5 chocolates cost?
  34. 34.1 : 8 = ? : 16
  35. 35.4 : 7 = 32 : ?
  36. 36.₹210 is shared between Nisha and Dev in the ratio 3 : 4. How many rupees does Nisha get?
  37. 37.Are 6, 9, 18 and 28 in proportion? (a) No (b) Yes
  38. 38.Are 14, 18, 49 and 64 in proportion? (a) Yes (b) No
  39. 39.If 5 notebooks cost ₹290, how many rupees do 6 notebooks cost?
  40. 40.Write the ratio 9 : 72 in its simplest form. (a) 1 : 8 (b) 9 : 72 (c) 8 : 1 (d) 2 : 9

Answer key

  1. 7 : 8
  2. 9
  3. 4
  4. No
  5. 65
  6. 1 : 2
  7. 6
  8. No
  9. 9 : 7
  10. 1 : 3
  11. 80
  12. 7 : 9
  13. 376
  14. 40
  15. 4 : 5
  16. 840
  17. 490
  18. 170
  19. No
  20. 5 : 3
  21. 315
  22. 49
  23. Yes
  24. 8 : 3
  25. 49
  26. 35
  27. 72
  28. 7 : 2
  29. 12
  30. 63
  31. 273
  32. 24
  33. 225
  34. 2
  35. 56
  36. 90
  37. No
  38. No
  39. 348
  40. 1 : 8

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