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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 240 · 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 8, 12, 12 and 18 in proportion? (a) Yes (b) No
  2. 2.A bus goes 180 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  3. 3.Are 5, 25, 9 and 45 in proportion? (a) Yes (b) No
  4. 4.Write the ratio 18 : 30 in its simplest form. (a) 18 : 30 (b) 4 : 6 (c) 3 : 5 (d) 5 : 3
  5. 5.If 9 notebooks cost ₹252, how many rupees do 4 notebooks cost?
  6. 6.If 3 pens cost ₹159, how many rupees do 6 pens cost?
  7. 7.A library shelf has 48 storybooks and 42 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 8 (b) 48 : 42 (c) 9 : 8 (d) 8 : 7
  8. 8.3 : 7 = ? : 21
  9. 9.5 : 8 = ? : 32
  10. 10.If 7 notebooks cost ₹161, how many rupees do 9 notebooks cost?
  11. 11.₹450 is shared between Pooja and Rahul in the ratio 1 : 2. How many rupees does Rahul get?
  12. 12.₹2000 is shared between Isha and Riya in the ratio 1 : 9. How many rupees does Riya get?
  13. 13.Are 18, 21, 36 and 42 in proportion? (a) Yes (b) No
  14. 14.2 : 5 = ? : 30
  15. 15.If 3 pens cost ₹51, how many rupees do 9 pens cost?
  16. 16.Write the ratio 9 : 18 in its simplest form. (a) 9 : 18 (b) 2 : 1 (c) 1 : 2 (d) 2 : 3
  17. 17.A basket has 2 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 6 (b) 2 : 7 (c) 2 : 12 (d) 6 : 1
  18. 18.3 : 7 = ? : 28
  19. 19.A basket has 45 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 3 (b) 45 : 27 (c) 6 : 4 (d) 3 : 5
  20. 20.6 : 7 = 60 : ?
  21. 21.If 2 ice creams cost ₹20, how many rupees do 5 ice creams cost?
  22. 22.Write the ratio 21 : 56 in its simplest form. (a) 3 : 8 (b) 21 : 56 (c) 8 : 3 (d) 4 : 9
  23. 23.A car goes 135 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  24. 24.5 : 7 = 20 : ?
  25. 25.₹1280 is shared between Karan and Pooja in the ratio 3 : 5. How many rupees does Pooja get?
  26. 26.Are 6, 9, 12 and 19 in proportion? (a) Yes (b) No
  27. 27.₹270 is shared between Riya and Rahul in the ratio 1 : 8. How many rupees does Rahul get?
  28. 28.A team has 8 batters and 36 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 9 (b) 3 : 10 (c) 9 : 2 (d) 8 : 36
  29. 29.1 : 9 = 2 : ?
  30. 30.₹1540 is shared between Ananya and Saanvi in the ratio 2 : 9. How many rupees does Saanvi get?
  31. 31.₹1820 is shared between Zoya and Diya in the ratio 4 : 9. How many rupees does Diya get?
  32. 32.If 9 notebooks cost ₹324, how many rupees do 3 notebooks cost?
  33. 33.If 4 ice creams cost ₹60, how many rupees do 6 ice creams cost?
  34. 34.5 : 9 = 35 : ?
  35. 35.A team has 5 batters and 15 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 3 (b) 2 : 4 (c) 5 : 15 (d) 3 : 1
  36. 36.5 : 6 = ? : 30
  37. 37.2 : 9 = ? : 36
  38. 38.Are 3, 24, 7 and 56 in proportion? (a) Yes (b) No
  39. 39.Write the ratio 3 : 9 in its simplest form. (a) 2 : 4 (b) 3 : 9 (c) 1 : 3 (d) 3 : 1
  40. 40.₹330 is shared between Manav and Saanvi in the ratio 3 : 8. How many rupees does Manav get?

Answer key

  1. Yes
  2. 360
  3. Yes
  4. 3 : 5
  5. 112
  6. 318
  7. 8 : 7
  8. 9
  9. 20
  10. 207
  11. 300
  12. 1800
  13. Yes
  14. 12
  15. 153
  16. 1 : 2
  17. 1 : 6
  18. 12
  19. 5 : 3
  20. 70
  21. 50
  22. 3 : 8
  23. 360
  24. 28
  25. 800
  26. No
  27. 240
  28. 2 : 9
  29. 18
  30. 1260
  31. 1260
  32. 108
  33. 90
  34. 63
  35. 1 : 3
  36. 25
  37. 8
  38. Yes
  39. 1 : 3
  40. 90

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