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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 11 · 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.Are 4, 8, 6 and 13 in proportion? (a) Yes (b) No
  2. 2.If 5 mangoes cost ₹245, how many rupees do 12 mangoes cost?
  3. 3.A garden has 16 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 3 (b) 16 : 24 (c) 3 : 4 (d) 3 : 2
  4. 4.If 2 bus tickets cost ₹82, how many rupees do 8 bus tickets cost?
  5. 5.1 : 8 = 6 : ?
  6. 6.₹780 is shared between Lakshmi and Dev in the ratio 1 : 5. How many rupees does Lakshmi get?
  7. 7.If 7 mangoes cost ₹147, how many rupees do 10 mangoes cost?
  8. 8.A team has 30 batters and 18 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 30 : 18 (b) 6 : 4 (c) 3 : 5 (d) 5 : 3
  9. 9.Are 15, 27, 45 and 82 in proportion? (a) Yes (b) No
  10. 10.Write the ratio 24 : 27 in its simplest form. (a) 24 : 27 (b) 8 : 9 (c) 9 : 10 (d) 9 : 8
  11. 11.4 : 5 = 12 : ?
  12. 12.A scooter goes 140 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  13. 13.₹280 is shared between Joseph and Aarav in the ratio 1 : 6. How many rupees does Aarav get?
  14. 14.A class has 8 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 10 (b) 2 : 9 (c) 9 : 2 (d) 8 : 36
  15. 15.1 : 4 = 9 : ?
  16. 16.Write the ratio 72 : 16 in its simplest form. (a) 72 : 16 (b) 2 : 9 (c) 10 : 3 (d) 9 : 2
  17. 17.₹560 is shared between Saanvi and Gurpreet in the ratio 1 : 7. How many rupees does Saanvi get?
  18. 18.A class has 9 boys and 27 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 4 (b) 3 : 1 (c) 9 : 27 (d) 1 : 3
  19. 19.If 4 bus tickets cost ₹160, how many rupees do 9 bus tickets cost?
  20. 20.Write the ratio 4 : 20 in its simplest form. (a) 4 : 20 (b) 1 : 5 (c) 5 : 1 (d) 2 : 6
  21. 21.₹280 is shared between Karan and Aarav in the ratio 2 : 5. How many rupees does Karan get?
  22. 22.₹630 is shared between Sneha and Karan in the ratio 3 : 4. How many rupees does Karan get?
  23. 23.5 : 7 = ? : 70
  24. 24.If 2 ice creams cost ₹50, how many rupees do 7 ice creams cost?
  25. 25.A library shelf has 18 storybooks and 63 science books. What is the ratio of storybooks to science books in its simplest form? (a) 18 : 63 (b) 7 : 2 (c) 3 : 8 (d) 2 : 7
  26. 26.2 : 5 = ? : 40
  27. 27.A library shelf has 4 storybooks and 16 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 4 (b) 4 : 16 (c) 2 : 5 (d) 4 : 1
  28. 28.Write the ratio 4 : 32 in its simplest form. (a) 2 : 9 (b) 8 : 1 (c) 1 : 8 (d) 4 : 32
  29. 29.Write the ratio 36 : 42 in its simplest form. (a) 7 : 8 (b) 6 : 7 (c) 36 : 42 (d) 7 : 6
  30. 30.₹140 is shared between Joseph and Ananya in the ratio 5 : 9. How many rupees does Joseph get?
  31. 31.Write the ratio 42 : 12 in its simplest form. (a) 8 : 3 (b) 42 : 12 (c) 7 : 2 (d) 2 : 7
  32. 32.1 : 3 = ? : 18
  33. 33.A team has 14 batters and 63 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 14 : 63 (b) 3 : 10 (c) 2 : 9 (d) 9 : 2
  34. 34.A basket has 12 mangoes and 20 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 3 (b) 3 : 5 (c) 4 : 6 (d) 12 : 20
  35. 35.₹520 is shared between Rahul and Manav in the ratio 5 : 8. How many rupees does Rahul get?
  36. 36.Are 5, 10, 6 and 12 in proportion? (a) No (b) Yes
  37. 37.Are 2, 4, 4 and 8 in proportion? (a) Yes (b) No
  38. 38.₹910 is shared between Pooja and Diya in the ratio 6 : 7. How many rupees does Diya get?
  39. 39.A train goes 180 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  40. 40.₹1430 is shared between Diya and Riya in the ratio 5 : 8. How many rupees does Riya get?

Answer key

  1. No
  2. 588
  3. 2 : 3
  4. 328
  5. 48
  6. 130
  7. 210
  8. 5 : 3
  9. No
  10. 8 : 9
  11. 15
  12. 280
  13. 240
  14. 2 : 9
  15. 36
  16. 9 : 2
  17. 70
  18. 1 : 3
  19. 360
  20. 1 : 5
  21. 80
  22. 360
  23. 50
  24. 175
  25. 2 : 7
  26. 16
  27. 1 : 4
  28. 1 : 8
  29. 6 : 7
  30. 50
  31. 7 : 2
  32. 6
  33. 2 : 9
  34. 3 : 5
  35. 200
  36. Yes
  37. Yes
  38. 490
  39. 420
  40. 880

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