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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 215 · 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. 1.2 : 3 = ? : 6
  2. 2.Are 16, 28, 8 and 14 in proportion? (a) No (b) Yes
  3. 3.A library shelf has 35 storybooks and 42 science books. What is the ratio of storybooks to science books in its simplest form? (a) 35 : 42 (b) 6 : 5 (c) 5 : 6 (d) 6 : 7
  4. 4.Write the ratio 6 : 21 in its simplest form. (a) 7 : 2 (b) 6 : 21 (c) 2 : 7 (d) 3 : 8
  5. 5.Write the ratio 5 : 20 in its simplest form. (a) 5 : 20 (b) 2 : 5 (c) 1 : 4 (d) 4 : 1
  6. 6.Write the ratio 2 : 14 in its simplest form. (a) 7 : 1 (b) 2 : 14 (c) 1 : 7 (d) 2 : 8
  7. 7.Write the ratio 45 : 5 in its simplest form. (a) 9 : 1 (b) 10 : 2 (c) 45 : 5 (d) 1 : 9
  8. 8.₹600 is shared between Ananya and Kabir in the ratio 1 : 2. How many rupees does Ananya get?
  9. 9.A train goes 180 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  10. 10.Write the ratio 28 : 32 in its simplest form. (a) 28 : 32 (b) 8 : 9 (c) 8 : 7 (d) 7 : 8
  11. 11.A garden has 32 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 8 (b) 9 : 2 (c) 8 : 1 (d) 32 : 4
  12. 12.2 : 9 = 8 : ?
  13. 13.1 : 9 = 3 : ?
  14. 14.A basket has 24 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 8 (b) 9 : 8 (c) 24 : 21 (d) 8 : 7
  15. 15.Write the ratio 9 : 12 in its simplest form. (a) 3 : 4 (b) 4 : 5 (c) 9 : 12 (d) 4 : 3
  16. 16.Are 2, 10, 8 and 40 in proportion? (a) No (b) Yes
  17. 17.Are 5, 40, 3 and 26 in proportion? (a) Yes (b) No
  18. 18.1 : 9 = 4 : ?
  19. 19.Write the ratio 63 : 56 in its simplest form. (a) 8 : 9 (b) 10 : 9 (c) 9 : 8 (d) 63 : 56
  20. 20.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  21. 21.If 5 mangoes cost ₹35, how many rupees do 11 mangoes cost?
  22. 22.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  23. 23.6 : 7 = ? : 49
  24. 24.Write the ratio 6 : 36 in its simplest form. (a) 1 : 6 (b) 2 : 7 (c) 6 : 36 (d) 6 : 1
  25. 25.A box has 42 red pens and 49 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 6 (b) 6 : 7 (c) 42 : 49 (d) 7 : 8
  26. 26.A train goes 320 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  27. 27.₹150 is shared between Kavya and Lakshmi in the ratio 7 : 8. How many rupees does Lakshmi get?
  28. 28.A car goes 60 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  29. 29.Write the ratio 24 : 9 in its simplest form. (a) 3 : 8 (b) 9 : 4 (c) 8 : 3 (d) 24 : 9
  30. 30.Write the ratio 35 : 14 in its simplest form. (a) 2 : 5 (b) 6 : 3 (c) 5 : 2 (d) 35 : 14
  31. 31.A class has 24 boys and 9 girls. What is the ratio of boys to girls in its simplest form? (a) 24 : 9 (b) 3 : 8 (c) 8 : 3 (d) 9 : 4
  32. 32.₹600 is shared between Joseph and Sneha in the ratio 5 : 7. How many rupees does Joseph get?
  33. 33.Are 6, 8, 12 and 17 in proportion? (a) No (b) Yes
  34. 34.A basket has 6 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 4 (b) 2 : 3 (c) 4 : 3 (d) 3 : 2
  35. 35.A library shelf has 3 storybooks and 9 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 4 (b) 3 : 9 (c) 3 : 1 (d) 1 : 3
  36. 36.A box has 9 red pens and 72 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 1 (b) 2 : 9 (c) 1 : 8 (d) 9 : 72
  37. 37.2 : 9 = ? : 90
  38. 38.₹360 is shared between Pooja and Aarav in the ratio 1 : 2. How many rupees does Aarav get?
  39. 39.5 : 7 = ? : 14
  40. 40.A train goes 350 km in 5 hours. At the same speed, how many km does it go in 3 hours?

Answer key

  1. 4
  2. Yes
  3. 5 : 6
  4. 2 : 7
  5. 1 : 4
  6. 1 : 7
  7. 9 : 1
  8. 200
  9. 360
  10. 7 : 8
  11. 8 : 1
  12. 36
  13. 27
  14. 8 : 7
  15. 3 : 4
  16. Yes
  17. No
  18. 36
  19. 9 : 8
  20. 280
  21. 77
  22. 175
  23. 42
  24. 1 : 6
  25. 6 : 7
  26. 160
  27. 80
  28. 240
  29. 8 : 3
  30. 5 : 2
  31. 8 : 3
  32. 250
  33. No
  34. 3 : 2
  35. 1 : 3
  36. 1 : 8
  37. 20
  38. 240
  39. 10
  40. 210

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