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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 308 · 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.₹1960 is shared between Pooja and Tara in the ratio 5 : 9. How many rupees does Tara get?
  2. 2.Are 3, 24, 8 and 67 in proportion? (a) No (b) Yes
  3. 3.2 : 3 = 20 : ?
  4. 4.Write the ratio 36 : 20 in its simplest form. (a) 9 : 5 (b) 36 : 20 (c) 10 : 6 (d) 5 : 9
  5. 5.Are 6, 42, 8 and 56 in proportion? (a) Yes (b) No
  6. 6.A box has 20 red pens and 36 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 20 : 36 (b) 5 : 9 (c) 9 : 5 (d) 6 : 10
  7. 7.A library shelf has 36 storybooks and 27 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 4 (b) 4 : 3 (c) 3 : 4 (d) 36 : 27
  8. 8.A basket has 9 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 3 (b) 1 : 2 (c) 9 : 18 (d) 2 : 1
  9. 9.₹1260 is shared between Karan and Meera in the ratio 2 : 5. How many rupees does Meera get?
  10. 10.₹550 is shared between Pooja and Nisha in the ratio 2 : 3. How many rupees does Pooja get?
  11. 11.A garden has 12 rose plants and 30 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 5 (b) 5 : 2 (c) 12 : 30 (d) 3 : 6
  12. 12.Write the ratio 18 : 45 in its simplest form. (a) 2 : 5 (b) 18 : 45 (c) 3 : 6 (d) 5 : 2
  13. 13.A class has 36 boys and 32 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 8 (b) 36 : 32 (c) 10 : 9 (d) 8 : 9
  14. 14.A team has 12 batters and 10 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 5 (b) 7 : 6 (c) 12 : 10 (d) 5 : 6
  15. 15.Are 10, 16, 40 and 66 in proportion? (a) No (b) Yes
  16. 16.If 8 notebooks cost ₹232, how many rupees do 12 notebooks cost?
  17. 17.If 9 bus tickets cost ₹27, how many rupees do 12 bus tickets cost?
  18. 18.Write the ratio 20 : 25 in its simplest form. (a) 20 : 25 (b) 5 : 6 (c) 5 : 4 (d) 4 : 5
  19. 19.₹1020 is shared between Arjun and Tara in the ratio 1 : 5. How many rupees does Arjun get?
  20. 20.Write the ratio 45 : 36 in its simplest form. (a) 4 : 5 (b) 5 : 4 (c) 45 : 36 (d) 6 : 5
  21. 21.₹2470 is shared between Zoya and Nisha in the ratio 4 : 9. How many rupees does Nisha get?
  22. 22.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  23. 23.Are 20, 25, 28 and 35 in proportion? (a) Yes (b) No
  24. 24.₹640 is shared between Saanvi and Isha in the ratio 3 : 5. How many rupees does Saanvi get?
  25. 25.2 : 5 = ? : 30
  26. 26.A library shelf has 15 storybooks and 21 science books. What is the ratio of storybooks to science books in its simplest form? (a) 15 : 21 (b) 6 : 8 (c) 5 : 7 (d) 7 : 5
  27. 27.If 3 mangoes cost ₹51, how many rupees do 5 mangoes cost?
  28. 28.Are 5, 10, 6 and 13 in proportion? (a) No (b) Yes
  29. 29.Write the ratio 21 : 15 in its simplest form. (a) 5 : 7 (b) 7 : 5 (c) 21 : 15 (d) 8 : 6
  30. 30.Are 48, 54, 24 and 29 in proportion? (a) No (b) Yes
  31. 31.A car goes 180 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  32. 32.Are 12, 42, 16 and 58 in proportion? (a) Yes (b) No
  33. 33.₹760 is shared between Diya and Lakshmi in the ratio 1 : 3. How many rupees does Lakshmi get?
  34. 34.Write the ratio 56 : 63 in its simplest form. (a) 56 : 63 (b) 8 : 9 (c) 9 : 10 (d) 9 : 8
  35. 35.Write the ratio 16 : 40 in its simplest form. (a) 5 : 2 (b) 16 : 40 (c) 3 : 6 (d) 2 : 5
  36. 36.If 3 notebooks cost ₹30, how many rupees do 11 notebooks cost?
  37. 37.2 : 9 = 14 : ?
  38. 38.A class has 28 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 7 (b) 8 : 5 (c) 28 : 16 (d) 7 : 4
  39. 39.Write the ratio 18 : 12 in its simplest form. (a) 3 : 2 (b) 18 : 12 (c) 2 : 3 (d) 4 : 3
  40. 40.If 2 ice creams cost ₹104, how many rupees do 12 ice creams cost?

Answer key

  1. 1260
  2. No
  3. 30
  4. 9 : 5
  5. Yes
  6. 5 : 9
  7. 4 : 3
  8. 1 : 2
  9. 900
  10. 220
  11. 2 : 5
  12. 2 : 5
  13. 9 : 8
  14. 6 : 5
  15. No
  16. 348
  17. 36
  18. 4 : 5
  19. 170
  20. 5 : 4
  21. 1710
  22. 560
  23. Yes
  24. 240
  25. 12
  26. 5 : 7
  27. 85
  28. No
  29. 7 : 5
  30. No
  31. 120
  32. No
  33. 570
  34. 8 : 9
  35. 2 : 5
  36. 110
  37. 63
  38. 7 : 4
  39. 3 : 2
  40. 624

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