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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 162 · 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.If 6 notebooks cost ₹228, how many rupees do 5 notebooks cost?
  2. 2.2 : 5 = 4 : ?
  3. 3.A class has 6 boys and 15 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 5 (b) 5 : 2 (c) 6 : 15 (d) 3 : 6
  4. 4.2 : 7 = ? : 21
  5. 5.1 : 6 = ? : 48
  6. 6.5 : 9 = 40 : ?
  7. 7.₹900 is shared between Rohan and Sneha in the ratio 4 : 5. How many rupees does Rohan get?
  8. 8.₹320 is shared between Diya and Riya in the ratio 1 : 3. How many rupees does Diya get?
  9. 9.Write the ratio 8 : 20 in its simplest form. (a) 5 : 2 (b) 2 : 5 (c) 8 : 20 (d) 3 : 6
  10. 10.If 2 pens cost ₹48, how many rupees do 3 pens cost?
  11. 11.2 : 3 = ? : 15
  12. 12.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  13. 13.1 : 3 = 5 : ?
  14. 14.₹360 is shared between Meera and Arjun in the ratio 2 : 7. How many rupees does Meera get?
  15. 15.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  16. 16.Write the ratio 3 : 12 in its simplest form. (a) 4 : 1 (b) 2 : 5 (c) 3 : 12 (d) 1 : 4
  17. 17.Write the ratio 35 : 49 in its simplest form. (a) 6 : 8 (b) 35 : 49 (c) 7 : 5 (d) 5 : 7
  18. 18.Are 6, 24, 4 and 17 in proportion? (a) No (b) Yes
  19. 19.A basket has 49 mangoes and 35 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 6 (b) 5 : 7 (c) 7 : 5 (d) 49 : 35
  20. 20.If 2 chocolates cost ₹96, how many rupees do 6 chocolates cost?
  21. 21.2 : 7 = 6 : ?
  22. 22.If 9 pens cost ₹351, how many rupees do 6 pens cost?
  23. 23.Write the ratio 3 : 15 in its simplest form. (a) 3 : 15 (b) 2 : 6 (c) 1 : 5 (d) 5 : 1
  24. 24.1 : 9 = 3 : ?
  25. 25.Are 18, 30, 24 and 42 in proportion? (a) Yes (b) No
  26. 26.3 : 5 = ? : 25
  27. 27.5 : 6 = ? : 12
  28. 28.Write the ratio 4 : 14 in its simplest form. (a) 3 : 8 (b) 4 : 14 (c) 2 : 7 (d) 7 : 2
  29. 29.1 : 9 = 2 : ?
  30. 30.Write the ratio 36 : 8 in its simplest form. (a) 36 : 8 (b) 2 : 9 (c) 10 : 3 (d) 9 : 2
  31. 31.If 6 ice creams cost ₹234, how many rupees do 7 ice creams cost?
  32. 32.Write the ratio 45 : 20 in its simplest form. (a) 45 : 20 (b) 10 : 5 (c) 9 : 4 (d) 4 : 9
  33. 33.3 : 8 = 30 : ?
  34. 34.A car goes 100 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  35. 35.If 9 ice creams cost ₹252, how many rupees do 5 ice creams cost?
  36. 36.A library shelf has 14 storybooks and 16 science books. What is the ratio of storybooks to science books in its simplest form? (a) 14 : 16 (b) 8 : 9 (c) 8 : 7 (d) 7 : 8
  37. 37.Write the ratio 20 : 8 in its simplest form. (a) 2 : 5 (b) 5 : 2 (c) 6 : 3 (d) 20 : 8
  38. 38.A basket has 72 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 9 (b) 72 : 8 (c) 9 : 1 (d) 10 : 2
  39. 39.A scooter goes 100 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  40. 40.Are 3, 24, 7 and 57 in proportion? (a) Yes (b) No

Answer key

  1. 190
  2. 10
  3. 2 : 5
  4. 6
  5. 8
  6. 72
  7. 400
  8. 80
  9. 2 : 5
  10. 72
  11. 10
  12. 180
  13. 15
  14. 80
  15. 105
  16. 1 : 4
  17. 5 : 7
  18. No
  19. 7 : 5
  20. 288
  21. 21
  22. 234
  23. 1 : 5
  24. 27
  25. No
  26. 15
  27. 10
  28. 2 : 7
  29. 18
  30. 9 : 2
  31. 273
  32. 9 : 4
  33. 80
  34. 300
  35. 140
  36. 7 : 8
  37. 5 : 2
  38. 9 : 1
  39. 50
  40. No

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