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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 334 · 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 2, 8, 4 and 16 in proportion? (a) Yes (b) No
  2. 2.A class has 16 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 4 : 3 (b) 5 : 4 (c) 16 : 12 (d) 3 : 4
  3. 3.2 : 9 = ? : 36
  4. 4.Write the ratio 36 : 81 in its simplest form. (a) 9 : 4 (b) 4 : 9 (c) 5 : 10 (d) 36 : 81
  5. 5.Are 24, 30, 32 and 40 in proportion? (a) No (b) Yes
  6. 6.1 : 2 = 3 : ?
  7. 7.If 7 notebooks cost ₹266, how many rupees do 2 notebooks cost?
  8. 8.Are 15, 25, 24 and 42 in proportion? (a) No (b) Yes
  9. 9.Are 25, 30, 20 and 25 in proportion? (a) Yes (b) No
  10. 10.4 : 7 = ? : 70
  11. 11.₹1650 is shared between Meera and Isha in the ratio 4 : 7. How many rupees does Meera get?
  12. 12.₹1100 is shared between Aarav and Meera in the ratio 5 : 6. How many rupees does Meera get?
  13. 13.Write the ratio 63 : 45 in its simplest form. (a) 63 : 45 (b) 7 : 5 (c) 8 : 6 (d) 5 : 7
  14. 14.Are 2, 18, 9 and 83 in proportion? (a) Yes (b) No
  15. 15.A scooter goes 390 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  16. 16.₹2880 is shared between Farhan and Riya in the ratio 7 : 9. How many rupees does Farhan get?
  17. 17.₹2280 is shared between Nisha and Meera in the ratio 5 : 7. How many rupees does Meera get?
  18. 18.A class has 9 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 1 (b) 2 : 6 (c) 1 : 5 (d) 9 : 45
  19. 19.₹2200 is shared between Isha and Gurpreet in the ratio 2 : 9. How many rupees does Gurpreet get?
  20. 20.If 9 ice creams cost ₹108, how many rupees do 2 ice creams cost?
  21. 21.A library shelf has 20 storybooks and 32 science books. What is the ratio of storybooks to science books in its simplest form? (a) 20 : 32 (b) 8 : 5 (c) 5 : 8 (d) 6 : 9
  22. 22.₹1200 is shared between Nisha and Manav in the ratio 3 : 7. How many rupees does Nisha get?
  23. 23.Are 3, 21, 7 and 52 in proportion? (a) No (b) Yes
  24. 24.Write the ratio 16 : 10 in its simplest form. (a) 9 : 6 (b) 8 : 5 (c) 5 : 8 (d) 16 : 10
  25. 25.₹450 is shared between Ishaan and Aarav in the ratio 2 : 7. How many rupees does Aarav get?
  26. 26.₹1620 is shared between Aarav and Isha in the ratio 1 : 8. How many rupees does Aarav get?
  27. 27.₹240 is shared between Aditya and Joseph in the ratio 1 : 7. How many rupees does Joseph get?
  28. 28.Write the ratio 6 : 27 in its simplest form. (a) 3 : 10 (b) 6 : 27 (c) 9 : 2 (d) 2 : 9
  29. 29.₹1360 is shared between Dev and Saanvi in the ratio 1 : 7. How many rupees does Dev get?
  30. 30.Write the ratio 48 : 30 in its simplest form. (a) 48 : 30 (b) 9 : 6 (c) 5 : 8 (d) 8 : 5
  31. 31.Write the ratio 18 : 24 in its simplest form. (a) 18 : 24 (b) 4 : 5 (c) 4 : 3 (d) 3 : 4
  32. 32.3 : 4 = 12 : ?
  33. 33.Write the ratio 56 : 16 in its simplest form. (a) 7 : 2 (b) 56 : 16 (c) 2 : 7 (d) 8 : 3
  34. 34.If 8 ice creams cost ₹408, how many rupees do 10 ice creams cost?
  35. 35.A bus goes 375 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  36. 36.A team has 30 batters and 42 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 7 (b) 6 : 8 (c) 30 : 42 (d) 7 : 5
  37. 37.Write the ratio 4 : 36 in its simplest form. (a) 4 : 36 (b) 9 : 1 (c) 1 : 9 (d) 2 : 10
  38. 38.₹1300 is shared between Riya and Aarav in the ratio 3 : 7. How many rupees does Aarav get?
  39. 39.Write the ratio 63 : 36 in its simplest form. (a) 63 : 36 (b) 4 : 7 (c) 8 : 5 (d) 7 : 4
  40. 40.1 : 7 = ? : 35

Answer key

  1. Yes
  2. 4 : 3
  3. 8
  4. 4 : 9
  5. Yes
  6. 6
  7. 76
  8. No
  9. No
  10. 40
  11. 600
  12. 600
  13. 7 : 5
  14. No
  15. 325
  16. 1260
  17. 1330
  18. 1 : 5
  19. 1800
  20. 24
  21. 5 : 8
  22. 360
  23. No
  24. 8 : 5
  25. 350
  26. 180
  27. 210
  28. 2 : 9
  29. 170
  30. 8 : 5
  31. 3 : 4
  32. 16
  33. 7 : 2
  34. 510
  35. 150
  36. 5 : 7
  37. 1 : 9
  38. 910
  39. 7 : 4
  40. 5

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