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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 132 · 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.Write the ratio 9 : 21 in its simplest form. (a) 7 : 3 (b) 4 : 8 (c) 3 : 7 (d) 9 : 21
  2. 2.A class has 45 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 45 : 36 (b) 5 : 4 (c) 6 : 5 (d) 4 : 5
  3. 3.A library shelf has 18 storybooks and 9 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 2 (b) 18 : 9 (c) 2 : 1 (d) 1 : 2
  4. 4.1 : 5 = ? : 15
  5. 5.If 7 notebooks cost ₹119, how many rupees do 6 notebooks cost?
  6. 6.Write the ratio 8 : 64 in its simplest form. (a) 8 : 64 (b) 1 : 8 (c) 2 : 9 (d) 8 : 1
  7. 7.Write the ratio 16 : 12 in its simplest form. (a) 4 : 3 (b) 16 : 12 (c) 5 : 4 (d) 3 : 4
  8. 8.A train goes 200 km in 4 hours. At the same speed, how many km does it go in 5 hours?
  9. 9.Are 2, 8, 3 and 13 in proportion? (a) Yes (b) No
  10. 10.7 : 9 = 28 : ?
  11. 11.A basket has 27 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 9 (b) 10 : 9 (c) 27 : 24 (d) 9 : 8
  12. 12.Are 6, 8, 27 and 37 in proportion? (a) Yes (b) No
  13. 13.Are 9, 15, 24 and 40 in proportion? (a) Yes (b) No
  14. 14.Are 12, 28, 9 and 22 in proportion? (a) No (b) Yes
  15. 15.5 : 7 = ? : 35
  16. 16.If 2 notebooks cost ₹34, how many rupees do 5 notebooks cost?
  17. 17.A box has 8 red pens and 56 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 8 (b) 1 : 7 (c) 7 : 1 (d) 8 : 56
  18. 18.If 7 mangoes cost ₹168, how many rupees do 8 mangoes cost?
  19. 19.A scooter goes 450 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  20. 20.A basket has 35 mangoes and 49 apples. What is the ratio of mangoes to apples in its simplest form? (a) 35 : 49 (b) 6 : 8 (c) 7 : 5 (d) 5 : 7
  21. 21.₹1760 is shared between Aarav and Farhan in the ratio 2 : 9. How many rupees does Aarav get?
  22. 22.Are 25, 30, 20 and 26 in proportion? (a) Yes (b) No
  23. 23.Are 10, 12, 30 and 39 in proportion? (a) No (b) Yes
  24. 24.A scooter goes 135 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  25. 25.₹70 is shared between Arjun and Lakshmi in the ratio 2 : 5. How many rupees does Arjun get?
  26. 26.Write the ratio 3 : 6 in its simplest form. (a) 2 : 3 (b) 2 : 1 (c) 1 : 2 (d) 3 : 6
  27. 27.A scooter goes 140 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  28. 28.Write the ratio 54 : 42 in its simplest form. (a) 7 : 9 (b) 54 : 42 (c) 10 : 8 (d) 9 : 7
  29. 29.₹630 is shared between Ananya and Priya in the ratio 4 : 5. How many rupees does Priya get?
  30. 30.If 3 chocolates cost ₹132, how many rupees do 2 chocolates cost?
  31. 31.Write the ratio 12 : 4 in its simplest form. (a) 1 : 3 (b) 12 : 4 (c) 3 : 1 (d) 4 : 2
  32. 32.Write the ratio 9 : 18 in its simplest form. (a) 2 : 1 (b) 9 : 18 (c) 1 : 2 (d) 2 : 3
  33. 33.If 9 pens cost ₹468, how many rupees do 4 pens cost?
  34. 34.If 6 mangoes cost ₹216, how many rupees do 12 mangoes cost?
  35. 35.Write the ratio 24 : 20 in its simplest form. (a) 5 : 6 (b) 24 : 20 (c) 7 : 6 (d) 6 : 5
  36. 36.A class has 28 boys and 32 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 8 (b) 28 : 32 (c) 8 : 7 (d) 8 : 9
  37. 37.A basket has 36 mangoes and 6 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 6 (b) 36 : 6 (c) 6 : 1 (d) 7 : 2
  38. 38.₹1800 is shared between Nisha and Isha in the ratio 3 : 7. How many rupees does Nisha get?
  39. 39.If 3 chocolates cost ₹123, how many rupees do 10 chocolates cost?
  40. 40.₹480 is shared between Zoya and Gurpreet in the ratio 3 : 5. How many rupees does Gurpreet get?

Answer key

  1. 3 : 7
  2. 5 : 4
  3. 2 : 1
  4. 3
  5. 102
  6. 1 : 8
  7. 4 : 3
  8. 250
  9. No
  10. 36
  11. 9 : 8
  12. No
  13. Yes
  14. No
  15. 25
  16. 85
  17. 1 : 7
  18. 192
  19. 75
  20. 5 : 7
  21. 320
  22. No
  23. No
  24. 270
  25. 20
  26. 1 : 2
  27. 70
  28. 9 : 7
  29. 350
  30. 88
  31. 3 : 1
  32. 1 : 2
  33. 208
  34. 432
  35. 6 : 5
  36. 7 : 8
  37. 6 : 1
  38. 540
  39. 410
  40. 300

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