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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 145 · 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.A bus goes 120 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  2. 2.Are 2, 12, 5 and 31 in proportion? (a) Yes (b) No
  3. 3.If 9 bus tickets cost ₹531, how many rupees do 4 bus tickets cost?
  4. 4.If 8 notebooks cost ₹40, how many rupees do 12 notebooks cost?
  5. 5.If 3 bus tickets cost ₹60, how many rupees do 11 bus tickets cost?
  6. 6.1 : 9 = 4 : ?
  7. 7.4 : 7 = 32 : ?
  8. 8.If 2 pens cost ₹14, how many rupees do 9 pens cost?
  9. 9.A car goes 135 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  10. 10.Write the ratio 49 : 56 in its simplest form. (a) 49 : 56 (b) 7 : 8 (c) 8 : 7 (d) 8 : 9
  11. 11.Are 6, 8, 21 and 31 in proportion? (a) Yes (b) No
  12. 12.₹810 is shared between Pooja and Lakshmi in the ratio 2 : 7. How many rupees does Lakshmi get?
  13. 13.A bus goes 360 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  14. 14.A library shelf has 32 storybooks and 72 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 9 (b) 9 : 4 (c) 5 : 10 (d) 32 : 72
  15. 15.A garden has 24 rose plants and 6 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 1 (b) 5 : 2 (c) 24 : 6 (d) 1 : 4
  16. 16.A basket has 9 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 3 (b) 9 : 15 (c) 4 : 6 (d) 3 : 5
  17. 17.A train goes 480 km in 6 hours. At the same speed, how many km does it go in 7 hours?
  18. 18.A class has 35 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 5 (b) 6 : 10 (c) 35 : 63 (d) 5 : 9
  19. 19.Write the ratio 6 : 21 in its simplest form. (a) 3 : 8 (b) 6 : 21 (c) 2 : 7 (d) 7 : 2
  20. 20.A library shelf has 32 storybooks and 40 science books. What is the ratio of storybooks to science books in its simplest form? (a) 32 : 40 (b) 5 : 6 (c) 4 : 5 (d) 5 : 4
  21. 21.1 : 4 = ? : 36
  22. 22.₹840 is shared between Nisha and Riya in the ratio 3 : 4. How many rupees does Nisha get?
  23. 23.Are 4, 36, 3 and 27 in proportion? (a) No (b) Yes
  24. 24.Write the ratio 27 : 12 in its simplest form. (a) 27 : 12 (b) 10 : 5 (c) 9 : 4 (d) 4 : 9
  25. 25.₹2100 is shared between Rohan and Meera in the ratio 7 : 8. How many rupees does Rohan get?
  26. 26.Are 2, 6, 4 and 12 in proportion? (a) No (b) Yes
  27. 27.A library shelf has 56 storybooks and 21 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 4 (b) 56 : 21 (c) 3 : 8 (d) 8 : 3
  28. 28.A car goes 250 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  29. 29.Are 18, 21, 24 and 28 in proportion? (a) Yes (b) No
  30. 30.If 2 bus tickets cost ₹56, how many rupees do 8 bus tickets cost?
  31. 31.Are 48, 54, 24 and 27 in proportion? (a) No (b) Yes
  32. 32.A library shelf has 8 storybooks and 72 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 1 (b) 1 : 9 (c) 2 : 10 (d) 8 : 72
  33. 33.A scooter goes 360 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  34. 34.A class has 30 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 1 (b) 30 : 6 (c) 6 : 2 (d) 1 : 5
  35. 35.If 5 ice creams cost ₹120, how many rupees do 7 ice creams cost?
  36. 36.Are 18, 21, 30 and 35 in proportion? (a) No (b) Yes
  37. 37.If 8 mangoes cost ₹480, how many rupees do 3 mangoes cost?
  38. 38.5 : 9 = ? : 81
  39. 39.3 : 8 = 12 : ?
  40. 40.₹1170 is shared between Joseph and Riya in the ratio 2 : 7. How many rupees does Riya get?

Answer key

  1. 180
  2. No
  3. 236
  4. 60
  5. 220
  6. 36
  7. 56
  8. 63
  9. 90
  10. 7 : 8
  11. No
  12. 630
  13. 300
  14. 4 : 9
  15. 4 : 1
  16. 3 : 5
  17. 560
  18. 5 : 9
  19. 2 : 7
  20. 4 : 5
  21. 9
  22. 360
  23. Yes
  24. 9 : 4
  25. 980
  26. Yes
  27. 8 : 3
  28. 100
  29. Yes
  30. 224
  31. Yes
  32. 1 : 9
  33. 120
  34. 5 : 1
  35. 168
  36. Yes
  37. 180
  38. 45
  39. 32
  40. 910

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