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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 226 · 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.Write the ratio 32 : 8 in its simplest form. (a) 32 : 8 (b) 1 : 4 (c) 4 : 1 (d) 5 : 2
  2. 2.Write the ratio 3 : 15 in its simplest form. (a) 2 : 6 (b) 3 : 15 (c) 5 : 1 (d) 1 : 5
  3. 3.A library shelf has 3 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 2 (b) 3 : 6 (c) 2 : 3 (d) 2 : 1
  4. 4.₹1560 is shared between Lakshmi and Kabir in the ratio 5 : 7. How many rupees does Lakshmi get?
  5. 5.Are 10, 18, 25 and 47 in proportion? (a) Yes (b) No
  6. 6.₹2660 is shared between Sneha and Vivaan in the ratio 5 : 9. How many rupees does Vivaan get?
  7. 7.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  8. 8.Write the ratio 45 : 9 in its simplest form. (a) 45 : 9 (b) 6 : 2 (c) 1 : 5 (d) 5 : 1
  9. 9.₹180 is shared between Manav and Ananya in the ratio 1 : 5. How many rupees does Manav get?
  10. 10.A bus goes 140 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  11. 11.Are 2, 14, 6 and 42 in proportion? (a) No (b) Yes
  12. 12.₹480 is shared between Joseph and Rahul in the ratio 7 : 9. How many rupees does Joseph get?
  13. 13.4 : 5 = ? : 35
  14. 14.5 : 8 = 10 : ?
  15. 15.Are 4, 12, 6 and 18 in proportion? (a) No (b) Yes
  16. 16.Are 4, 8, 2 and 4 in proportion? (a) Yes (b) No
  17. 17.₹600 is shared between Zoya and Ishaan in the ratio 1 : 2. How many rupees does Zoya get?
  18. 18.1 : 6 = 2 : ?
  19. 19.Write the ratio 12 : 20 in its simplest form. (a) 3 : 5 (b) 5 : 3 (c) 12 : 20 (d) 4 : 6
  20. 20.If 8 pens cost ₹360, how many rupees do 3 pens cost?
  21. 21.₹2550 is shared between Nisha and Gurpreet in the ratio 7 : 8. How many rupees does Nisha get?
  22. 22.1 : 2 = 10 : ?
  23. 23.Are 6, 14, 15 and 35 in proportion? (a) Yes (b) No
  24. 24.1 : 8 = ? : 48
  25. 25.Are 4, 36, 2 and 18 in proportion? (a) No (b) Yes
  26. 26.If 2 notebooks cost ₹70, how many rupees do 8 notebooks cost?
  27. 27.₹630 is shared between Rahul and Kabir in the ratio 3 : 4. How many rupees does Kabir get?
  28. 28.Are 6, 16, 9 and 27 in proportion? (a) Yes (b) No
  29. 29.Write the ratio 21 : 14 in its simplest form. (a) 3 : 2 (b) 4 : 3 (c) 21 : 14 (d) 2 : 3
  30. 30.If 4 chocolates cost ₹100, how many rupees do 11 chocolates cost?
  31. 31.₹1440 is shared between Riya and Gurpreet in the ratio 1 : 8. How many rupees does Gurpreet get?
  32. 32.8 : 9 = ? : 18
  33. 33.Write the ratio 21 : 35 in its simplest form. (a) 21 : 35 (b) 5 : 3 (c) 4 : 6 (d) 3 : 5
  34. 34.8 : 9 = ? : 63
  35. 35.If 3 pens cost ₹18, how many rupees do 12 pens cost?
  36. 36.Write the ratio 8 : 18 in its simplest form. (a) 5 : 10 (b) 4 : 9 (c) 8 : 18 (d) 9 : 4
  37. 37.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  38. 38.6 : 7 = 60 : ?
  39. 39.A garden has 8 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 1 (b) 2 : 4 (c) 8 : 24 (d) 1 : 3
  40. 40.Write the ratio 5 : 45 in its simplest form. (a) 1 : 9 (b) 9 : 1 (c) 2 : 10 (d) 5 : 45

Answer key

  1. 4 : 1
  2. 1 : 5
  3. 1 : 2
  4. 650
  5. No
  6. 1710
  7. 150
  8. 5 : 1
  9. 30
  10. 105
  11. Yes
  12. 210
  13. 28
  14. 16
  15. Yes
  16. Yes
  17. 200
  18. 12
  19. 3 : 5
  20. 135
  21. 1190
  22. 20
  23. Yes
  24. 6
  25. Yes
  26. 280
  27. 360
  28. No
  29. 3 : 2
  30. 275
  31. 1280
  32. 16
  33. 3 : 5
  34. 56
  35. 72
  36. 4 : 9
  37. 245
  38. 70
  39. 1 : 3
  40. 1 : 9

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