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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 90 · 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 6 : 3 in its simplest form. (a) 3 : 2 (b) 6 : 3 (c) 2 : 1 (d) 1 : 2
  2. 2.1 : 6 = 5 : ?
  3. 3.1 : 6 = ? : 48
  4. 4.1 : 5 = 10 : ?
  5. 5.If 3 ice creams cost ₹33, how many rupees do 11 ice creams cost?
  6. 6.Are 20, 28, 10 and 17 in proportion? (a) Yes (b) No
  7. 7.Write the ratio 16 : 20 in its simplest form. (a) 16 : 20 (b) 5 : 4 (c) 5 : 6 (d) 4 : 5
  8. 8.A library shelf has 12 storybooks and 32 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 9 (b) 8 : 3 (c) 3 : 8 (d) 12 : 32
  9. 9.If 4 mangoes cost ₹36, how many rupees do 3 mangoes cost?
  10. 10.1 : 3 = 6 : ?
  11. 11.A basket has 18 mangoes and 3 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 2 (b) 6 : 1 (c) 18 : 3 (d) 1 : 6
  12. 12.If 9 chocolates cost ₹459, how many rupees do 5 chocolates cost?
  13. 13.₹640 is shared between Vivaan and Kabir in the ratio 3 : 5. How many rupees does Kabir get?
  14. 14.₹360 is shared between Priya and Tara in the ratio 1 : 8. How many rupees does Priya get?
  15. 15.1 : 6 = 4 : ?
  16. 16.₹450 is shared between Diya and Sneha in the ratio 7 : 8. How many rupees does Sneha get?
  17. 17.1 : 4 = ? : 20
  18. 18.₹300 is shared between Saanvi and Dev in the ratio 1 : 5. How many rupees does Dev get?
  19. 19.1 : 2 = ? : 20
  20. 20.If 2 ice creams cost ₹88, how many rupees do 9 ice creams cost?
  21. 21.2 : 9 = ? : 54
  22. 22.1 : 6 = 3 : ?
  23. 23.Are 5, 10, 2 and 7 in proportion? (a) No (b) Yes
  24. 24.1 : 3 = 2 : ?
  25. 25.Are 8, 12, 12 and 18 in proportion? (a) Yes (b) No
  26. 26.If 8 bus tickets cost ₹280, how many rupees do 9 bus tickets cost?
  27. 27.₹300 is shared between Tara and Rahul in the ratio 3 : 7. How many rupees does Rahul get?
  28. 28.Write the ratio 4 : 2 in its simplest form. (a) 4 : 2 (b) 1 : 2 (c) 3 : 2 (d) 2 : 1
  29. 29.Write the ratio 6 : 10 in its simplest form. (a) 3 : 5 (b) 6 : 10 (c) 4 : 6 (d) 5 : 3
  30. 30.₹600 is shared between Kavya and Ishaan in the ratio 1 : 9. How many rupees does Kavya get?
  31. 31.Are 12, 20, 15 and 26 in proportion? (a) Yes (b) No
  32. 32.If 3 chocolates cost ₹84, how many rupees do 8 chocolates cost?
  33. 33.₹1170 is shared between Aarav and Saanvi in the ratio 2 : 7. How many rupees does Saanvi get?
  34. 34.A library shelf has 14 storybooks and 7 science books. What is the ratio of storybooks to science books in its simplest form? (a) 14 : 7 (b) 3 : 2 (c) 2 : 1 (d) 1 : 2
  35. 35.Are 12, 32, 24 and 64 in proportion? (a) Yes (b) No
  36. 36.If 3 notebooks cost ₹126, how many rupees do 6 notebooks cost?
  37. 37.If 2 chocolates cost ₹80, how many rupees do 4 chocolates cost?
  38. 38.Write the ratio 3 : 12 in its simplest form. (a) 4 : 1 (b) 1 : 4 (c) 2 : 5 (d) 3 : 12
  39. 39.7 : 8 = ? : 24
  40. 40.Write the ratio 18 : 15 in its simplest form. (a) 5 : 6 (b) 6 : 5 (c) 7 : 6 (d) 18 : 15

Answer key

  1. 2 : 1
  2. 30
  3. 8
  4. 50
  5. 121
  6. No
  7. 4 : 5
  8. 3 : 8
  9. 27
  10. 18
  11. 6 : 1
  12. 255
  13. 400
  14. 40
  15. 24
  16. 240
  17. 5
  18. 250
  19. 10
  20. 396
  21. 12
  22. 18
  23. No
  24. 6
  25. Yes
  26. 315
  27. 210
  28. 2 : 1
  29. 3 : 5
  30. 60
  31. No
  32. 224
  33. 910
  34. 2 : 1
  35. Yes
  36. 252
  37. 160
  38. 1 : 4
  39. 21
  40. 6 : 5

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