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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 101 · 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.If 8 ice creams cost ₹160, how many rupees do 4 ice creams cost?
  2. 2.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  3. 3.If 6 pens cost ₹330, how many rupees do 12 pens cost?
  4. 4.A scooter goes 120 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  5. 5.1 : 4 = ? : 40
  6. 6.₹200 is shared between Dev and Aarav in the ratio 1 : 4. How many rupees does Aarav get?
  7. 7.1 : 3 = ? : 18
  8. 8.Write the ratio 36 : 6 in its simplest form. (a) 36 : 6 (b) 1 : 6 (c) 6 : 1 (d) 7 : 2
  9. 9.Write the ratio 9 : 3 in its simplest form. (a) 9 : 3 (b) 4 : 2 (c) 1 : 3 (d) 3 : 1
  10. 10.Write the ratio 15 : 3 in its simplest form. (a) 15 : 3 (b) 1 : 5 (c) 6 : 2 (d) 5 : 1
  11. 11.A car goes 180 km in 4 hours. At the same speed, how many km does it go in 5 hours?
  12. 12.5 : 6 = 20 : ?
  13. 13.₹440 is shared between Farhan and Arjun in the ratio 4 : 7. How many rupees does Arjun get?
  14. 14.Write the ratio 32 : 72 in its simplest form. (a) 32 : 72 (b) 5 : 10 (c) 9 : 4 (d) 4 : 9
  15. 15.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) 7 : 4 (d) 28 : 16
  16. 16.Write the ratio 7 : 49 in its simplest form. (a) 7 : 49 (b) 1 : 7 (c) 7 : 1 (d) 2 : 8
  17. 17.A library shelf has 18 storybooks and 3 science books. What is the ratio of storybooks to science books in its simplest form? (a) 18 : 3 (b) 1 : 6 (c) 6 : 1 (d) 7 : 2
  18. 18.A train goes 360 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  19. 19.Are 12, 16, 6 and 11 in proportion? (a) Yes (b) No
  20. 20.If 6 mangoes cost ₹108, how many rupees do 2 mangoes cost?
  21. 21.If 2 mangoes cost ₹112, how many rupees do 3 mangoes cost?
  22. 22.₹630 is shared between Ishaan and Dev in the ratio 1 : 6. How many rupees does Ishaan get?
  23. 23.₹1500 is shared between Aditya and Saanvi in the ratio 3 : 7. How many rupees does Aditya get?
  24. 24.Write the ratio 16 : 24 in its simplest form. (a) 2 : 3 (b) 16 : 24 (c) 3 : 4 (d) 3 : 2
  25. 25.1 : 3 = 6 : ?
  26. 26.1 : 2 = ? : 16
  27. 27.If 6 bus tickets cost ₹192, how many rupees do 3 bus tickets cost?
  28. 28.Write the ratio 12 : 27 in its simplest form. (a) 4 : 9 (b) 12 : 27 (c) 5 : 10 (d) 9 : 4
  29. 29.3 : 4 = ? : 24
  30. 30.Write the ratio 27 : 12 in its simplest form. (a) 4 : 9 (b) 27 : 12 (c) 9 : 4 (d) 10 : 5
  31. 31.3 : 7 = ? : 14
  32. 32.4 : 5 = ? : 25
  33. 33.If 3 ice creams cost ₹93, how many rupees do 6 ice creams cost?
  34. 34.₹480 is shared between Farhan and Kabir in the ratio 1 : 3. How many rupees does Farhan get?
  35. 35.Are 30, 36, 35 and 45 in proportion? (a) Yes (b) No
  36. 36.₹240 is shared between Priya and Tara in the ratio 1 : 7. How many rupees does Priya get?
  37. 37.2 : 3 = 20 : ?
  38. 38.3 : 5 = ? : 15
  39. 39.If 6 mangoes cost ₹288, how many rupees do 11 mangoes cost?
  40. 40.Are 15, 24, 30 and 50 in proportion? (a) Yes (b) No

Answer key

  1. 80
  2. 160
  3. 660
  4. 420
  5. 10
  6. 160
  7. 6
  8. 6 : 1
  9. 3 : 1
  10. 5 : 1
  11. 225
  12. 24
  13. 280
  14. 4 : 9
  15. 7 : 4
  16. 1 : 7
  17. 6 : 1
  18. 240
  19. No
  20. 36
  21. 168
  22. 90
  23. 450
  24. 2 : 3
  25. 18
  26. 8
  27. 96
  28. 4 : 9
  29. 18
  30. 9 : 4
  31. 6
  32. 20
  33. 186
  34. 120
  35. No
  36. 30
  37. 30
  38. 9
  39. 528
  40. No

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