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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 188 · 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. 1.7 : 9 = ? : 81
  2. 2.If 9 notebooks cost ₹180, how many rupees do 11 notebooks cost?
  3. 3.Write the ratio 5 : 25 in its simplest form. (a) 1 : 5 (b) 5 : 25 (c) 2 : 6 (d) 5 : 1
  4. 4.If 6 mangoes cost ₹30, how many rupees do 4 mangoes cost?
  5. 5.Write the ratio 32 : 56 in its simplest form. (a) 7 : 4 (b) 32 : 56 (c) 5 : 8 (d) 4 : 7
  6. 6.2 : 3 = ? : 24
  7. 7.₹980 is shared between Ishaan and Sneha in the ratio 5 : 9. How many rupees does Ishaan get?
  8. 8.₹2100 is shared between Karan and Arjun in the ratio 5 : 9. How many rupees does Arjun get?
  9. 9.If 5 mangoes cost ₹25, how many rupees do 9 mangoes cost?
  10. 10.If 3 pens cost ₹147, how many rupees do 11 pens cost?
  11. 11.1 : 8 = ? : 80
  12. 12.Are 12, 28, 21 and 49 in proportion? (a) No (b) Yes
  13. 13.If 3 ice creams cost ₹48, how many rupees do 5 ice creams cost?
  14. 14.A bus goes 135 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  15. 15.5 : 7 = 30 : ?
  16. 16.4 : 5 = ? : 10
  17. 17.If 5 chocolates cost ₹70, how many rupees do 3 chocolates cost?
  18. 18.7 : 8 = 42 : ?
  19. 19.1 : 2 = ? : 12
  20. 20.A bus goes 160 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  21. 21.Write the ratio 2 : 14 in its simplest form. (a) 2 : 8 (b) 1 : 7 (c) 7 : 1 (d) 2 : 14
  22. 22.A train goes 210 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  23. 23.Write the ratio 4 : 20 in its simplest form. (a) 5 : 1 (b) 1 : 5 (c) 4 : 20 (d) 2 : 6
  24. 24.₹450 is shared between Rohan and Tara in the ratio 1 : 2. How many rupees does Rohan get?
  25. 25.Are 4, 24, 8 and 49 in proportion? (a) Yes (b) No
  26. 26.₹990 is shared between Isha and Saanvi in the ratio 4 : 5. How many rupees does Saanvi get?
  27. 27.₹360 is shared between Isha and Nisha in the ratio 5 : 7. How many rupees does Nisha get?
  28. 28.If 9 notebooks cost ₹81, how many rupees do 4 notebooks cost?
  29. 29.A library shelf has 20 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 20 : 15 (b) 3 : 4 (c) 5 : 4 (d) 4 : 3
  30. 30.6 : 7 = 36 : ?
  31. 31.Write the ratio 7 : 21 in its simplest form. (a) 1 : 3 (b) 3 : 1 (c) 2 : 4 (d) 7 : 21
  32. 32.A car goes 175 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  33. 33.3 : 5 = 6 : ?
  34. 34.7 : 9 = 35 : ?
  35. 35.If 7 mangoes cost ₹77, how many rupees do 12 mangoes cost?
  36. 36.8 : 9 = ? : 36
  37. 37.A class has 54 boys and 42 girls. What is the ratio of boys to girls in its simplest form? (a) 54 : 42 (b) 7 : 9 (c) 9 : 7 (d) 10 : 8
  38. 38.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  39. 39.₹450 is shared between Priya and Saanvi in the ratio 1 : 8. How many rupees does Saanvi get?
  40. 40.Are 2, 4, 6 and 14 in proportion? (a) Yes (b) No

Answer key

  1. 63
  2. 220
  3. 1 : 5
  4. 20
  5. 4 : 7
  6. 16
  7. 350
  8. 1350
  9. 45
  10. 539
  11. 10
  12. Yes
  13. 80
  14. 270
  15. 42
  16. 8
  17. 42
  18. 48
  19. 6
  20. 480
  21. 1 : 7
  22. 420
  23. 1 : 5
  24. 150
  25. No
  26. 550
  27. 210
  28. 36
  29. 4 : 3
  30. 42
  31. 1 : 3
  32. 140
  33. 10
  34. 45
  35. 132
  36. 32
  37. 9 : 7
  38. 120
  39. 400
  40. No

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