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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 100 · 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. 1.8 : 9 = 56 : ?
  2. 2.Write the ratio 7 : 28 in its simplest form. (a) 7 : 28 (b) 4 : 1 (c) 1 : 4 (d) 2 : 5
  3. 3.A class has 42 boys and 49 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 8 (b) 42 : 49 (c) 7 : 6 (d) 6 : 7
  4. 4.Are 5, 30, 9 and 54 in proportion? (a) No (b) Yes
  5. 5.Write the ratio 8 : 6 in its simplest form. (a) 5 : 4 (b) 8 : 6 (c) 3 : 4 (d) 4 : 3
  6. 6.₹400 is shared between Meera and Manav in the ratio 1 : 7. How many rupees does Manav get?
  7. 7.A car goes 275 km in 5 hours. At the same speed, how many km does it go in 7 hours?
  8. 8.A car goes 300 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  9. 9.Write the ratio 4 : 24 in its simplest form. (a) 4 : 24 (b) 6 : 1 (c) 2 : 7 (d) 1 : 6
  10. 10.If 2 notebooks cost ₹30, how many rupees do 6 notebooks cost?
  11. 11.If 8 notebooks cost ₹256, how many rupees do 10 notebooks cost?
  12. 12.A car goes 165 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  13. 13.If 3 chocolates cost ₹21, how many rupees do 2 chocolates cost?
  14. 14.A box has 32 red pens and 20 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 32 : 20 (b) 5 : 8 (c) 9 : 6 (d) 8 : 5
  15. 15.1 : 2 = ? : 4
  16. 16.A garden has 12 rose plants and 8 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 12 : 8 (b) 2 : 3 (c) 3 : 2 (d) 4 : 3
  17. 17.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  18. 18.Write the ratio 9 : 15 in its simplest form. (a) 4 : 6 (b) 3 : 5 (c) 5 : 3 (d) 9 : 15
  19. 19.A library shelf has 6 storybooks and 3 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 2 (b) 2 : 1 (c) 6 : 3 (d) 1 : 2
  20. 20.Write the ratio 18 : 12 in its simplest form. (a) 18 : 12 (b) 4 : 3 (c) 3 : 2 (d) 2 : 3
  21. 21.₹1000 is shared between Lakshmi and Nisha in the ratio 1 : 4. How many rupees does Lakshmi get?
  22. 22.If 6 chocolates cost ₹36, how many rupees do 2 chocolates cost?
  23. 23.6 : 7 = 24 : ?
  24. 24.Write the ratio 6 : 30 in its simplest form. (a) 5 : 1 (b) 1 : 5 (c) 6 : 30 (d) 2 : 6
  25. 25.Write the ratio 63 : 49 in its simplest form. (a) 63 : 49 (b) 7 : 9 (c) 10 : 8 (d) 9 : 7
  26. 26.₹360 is shared between Joseph and Tara in the ratio 1 : 2. How many rupees does Tara get?
  27. 27.8 : 9 = ? : 18
  28. 28.Are 20, 45, 28 and 63 in proportion? (a) No (b) Yes
  29. 29.A library shelf has 8 storybooks and 32 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 32 (b) 4 : 1 (c) 2 : 5 (d) 1 : 4
  30. 30.₹1650 is shared between Isha and Farhan in the ratio 4 : 7. How many rupees does Isha get?
  31. 31.₹1320 is shared between Karan and Gurpreet in the ratio 3 : 8. How many rupees does Gurpreet get?
  32. 32.Are 4, 10, 10 and 25 in proportion? (a) Yes (b) No
  33. 33.If 2 notebooks cost ₹10, how many rupees do 12 notebooks cost?
  34. 34.4 : 7 = ? : 28
  35. 35.Write the ratio 6 : 3 in its simplest form. (a) 3 : 2 (b) 2 : 1 (c) 1 : 2 (d) 6 : 3
  36. 36.A basket has 21 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 10 (b) 7 : 9 (c) 21 : 27 (d) 9 : 7
  37. 37.₹110 is shared between Zoya and Isha in the ratio 4 : 7. How many rupees does Zoya get?
  38. 38.₹2000 is shared between Priya and Meera in the ratio 1 : 9. How many rupees does Meera get?
  39. 39.If 6 mangoes cost ₹192, how many rupees do 2 mangoes cost?
  40. 40.Write the ratio 16 : 72 in its simplest form. (a) 2 : 9 (b) 3 : 10 (c) 9 : 2 (d) 16 : 72

Answer key

  1. 63
  2. 1 : 4
  3. 6 : 7
  4. Yes
  5. 4 : 3
  6. 350
  7. 385
  8. 600
  9. 1 : 6
  10. 90
  11. 320
  12. 110
  13. 14
  14. 8 : 5
  15. 2
  16. 3 : 2
  17. 315
  18. 3 : 5
  19. 2 : 1
  20. 3 : 2
  21. 200
  22. 12
  23. 28
  24. 1 : 5
  25. 9 : 7
  26. 240
  27. 16
  28. Yes
  29. 1 : 4
  30. 600
  31. 960
  32. Yes
  33. 60
  34. 16
  35. 2 : 1
  36. 7 : 9
  37. 40
  38. 1800
  39. 64
  40. 2 : 9

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