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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 170 · 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. 1.1 : 7 = 2 : ?
  2. 2.A garden has 81 rose plants and 63 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 9 (b) 9 : 7 (c) 81 : 63 (d) 10 : 8
  3. 3.Write the ratio 21 : 24 in its simplest form. (a) 8 : 7 (b) 7 : 8 (c) 8 : 9 (d) 21 : 24
  4. 4.1 : 7 = ? : 28
  5. 5.Are 5, 10, 4 and 11 in proportion? (a) Yes (b) No
  6. 6.If 3 pens cost ₹48, how many rupees do 7 pens cost?
  7. 7.If 3 ice creams cost ₹180, how many rupees do 5 ice creams cost?
  8. 8.₹550 is shared between Kabir and Dev in the ratio 4 : 7. How many rupees does Dev get?
  9. 9.A team has 54 batters and 6 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 9 (b) 10 : 2 (c) 9 : 1 (d) 54 : 6
  10. 10.Are 9, 12, 6 and 8 in proportion? (a) No (b) Yes
  11. 11.A library shelf has 12 storybooks and 8 science books. What is the ratio of storybooks to science books in its simplest form? (a) 12 : 8 (b) 4 : 3 (c) 2 : 3 (d) 3 : 2
  12. 12.Are 12, 21, 32 and 56 in proportion? (a) Yes (b) No
  13. 13.Write the ratio 24 : 15 in its simplest form. (a) 8 : 5 (b) 9 : 6 (c) 24 : 15 (d) 5 : 8
  14. 14.Write the ratio 54 : 12 in its simplest form. (a) 54 : 12 (b) 10 : 3 (c) 2 : 9 (d) 9 : 2
  15. 15.If 8 notebooks cost ₹104, how many rupees do 11 notebooks cost?
  16. 16.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  17. 17.2 : 7 = 12 : ?
  18. 18.A garden has 21 rose plants and 14 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 3 (b) 4 : 3 (c) 3 : 2 (d) 21 : 14
  19. 19.₹700 is shared between Gurpreet and Aditya in the ratio 1 : 6. How many rupees does Aditya get?
  20. 20.Write the ratio 32 : 4 in its simplest form. (a) 32 : 4 (b) 9 : 2 (c) 8 : 1 (d) 1 : 8
  21. 21.₹300 is shared between Vivaan and Lakshmi in the ratio 3 : 7. How many rupees does Lakshmi get?
  22. 22.₹800 is shared between Tara and Priya in the ratio 2 : 3. How many rupees does Tara get?
  23. 23.4 : 5 = ? : 50
  24. 24.Write the ratio 56 : 16 in its simplest form. (a) 56 : 16 (b) 8 : 3 (c) 2 : 7 (d) 7 : 2
  25. 25.A basket has 32 mangoes and 72 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 4 (b) 5 : 10 (c) 4 : 9 (d) 32 : 72
  26. 26.A car goes 330 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  27. 27.A bus goes 150 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  28. 28.1 : 7 = ? : 14
  29. 29.A team has 63 batters and 9 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 2 (b) 1 : 7 (c) 7 : 1 (d) 63 : 9
  30. 30.A team has 64 batters and 72 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 10 (b) 64 : 72 (c) 8 : 9 (d) 9 : 8
  31. 31.If 9 pens cost ₹270, how many rupees do 11 pens cost?
  32. 32.A box has 4 red pens and 20 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 20 (b) 2 : 6 (c) 1 : 5 (d) 5 : 1
  33. 33.If 6 notebooks cost ₹54, how many rupees do 2 notebooks cost?
  34. 34.A class has 4 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 1 (b) 4 : 36 (c) 2 : 10 (d) 1 : 9
  35. 35.A library shelf has 15 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 5 (b) 6 : 3 (c) 5 : 2 (d) 15 : 6
  36. 36.₹780 is shared between Meera and Karan in the ratio 1 : 5. How many rupees does Karan get?
  37. 37.Are 10, 25, 14 and 37 in proportion? (a) Yes (b) No
  38. 38.3 : 7 = 21 : ?
  39. 39.Write the ratio 3 : 15 in its simplest form. (a) 5 : 1 (b) 2 : 6 (c) 3 : 15 (d) 1 : 5
  40. 40.₹140 is shared between Pooja and Saanvi in the ratio 1 : 6. How many rupees does Pooja get?

Answer key

  1. 14
  2. 9 : 7
  3. 7 : 8
  4. 4
  5. No
  6. 112
  7. 300
  8. 350
  9. 9 : 1
  10. Yes
  11. 3 : 2
  12. Yes
  13. 8 : 5
  14. 9 : 2
  15. 143
  16. 60
  17. 42
  18. 3 : 2
  19. 600
  20. 8 : 1
  21. 210
  22. 320
  23. 40
  24. 7 : 2
  25. 4 : 9
  26. 55
  27. 75
  28. 2
  29. 7 : 1
  30. 8 : 9
  31. 330
  32. 1 : 5
  33. 18
  34. 1 : 9
  35. 5 : 2
  36. 650
  37. No
  38. 49
  39. 1 : 5
  40. 20

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