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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 190 · 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 basket has 24 mangoes and 9 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 4 (b) 3 : 8 (c) 24 : 9 (d) 8 : 3
  2. 2.A garden has 35 rose plants and 15 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 8 : 4 (b) 35 : 15 (c) 3 : 7 (d) 7 : 3
  3. 3.If 4 bus tickets cost ₹88, how many rupees do 6 bus tickets cost?
  4. 4.Write the ratio 9 : 18 in its simplest form. (a) 2 : 3 (b) 1 : 2 (c) 9 : 18 (d) 2 : 1
  5. 5.A class has 32 boys and 56 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 4 (b) 32 : 56 (c) 5 : 8 (d) 4 : 7
  6. 6.If 4 mangoes cost ₹172, how many rupees do 3 mangoes cost?
  7. 7.Are 25, 35, 20 and 28 in proportion? (a) Yes (b) No
  8. 8.A car goes 250 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  9. 9.₹2240 is shared between Ananya and Rahul in the ratio 5 : 9. How many rupees does Rahul get?
  10. 10.2 : 5 = ? : 10
  11. 11.A team has 54 batters and 42 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 10 : 8 (b) 9 : 7 (c) 54 : 42 (d) 7 : 9
  12. 12.A library shelf has 5 storybooks and 25 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 6 (b) 5 : 1 (c) 5 : 25 (d) 1 : 5
  13. 13.A team has 6 batters and 8 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 3 (b) 3 : 4 (c) 6 : 8 (d) 4 : 5
  14. 14.Write the ratio 40 : 56 in its simplest form. (a) 7 : 5 (b) 40 : 56 (c) 5 : 7 (d) 6 : 8
  15. 15.Write the ratio 15 : 20 in its simplest form. (a) 4 : 5 (b) 3 : 4 (c) 4 : 3 (d) 15 : 20
  16. 16.₹450 is shared between Joseph and Saanvi in the ratio 1 : 2. How many rupees does Joseph get?
  17. 17.Are 10, 35, 12 and 42 in proportion? (a) No (b) Yes
  18. 18.Are 4, 14, 12 and 42 in proportion? (a) Yes (b) No
  19. 19.A basket has 32 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 32 : 56 (b) 4 : 7 (c) 5 : 8 (d) 7 : 4
  20. 20.A basket has 45 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 45 : 63 (b) 6 : 8 (c) 7 : 5 (d) 5 : 7
  21. 21.A train goes 375 km in 5 hours. At the same speed, how many km does it go in 7 hours?
  22. 22.A box has 64 red pens and 72 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 10 (b) 64 : 72 (c) 8 : 9 (d) 9 : 8
  23. 23.A box has 54 red pens and 24 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 4 (b) 10 : 5 (c) 54 : 24 (d) 4 : 9
  24. 24.A bus goes 80 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  25. 25.₹640 is shared between Aarav and Ananya in the ratio 7 : 9. How many rupees does Ananya get?
  26. 26.Are 12, 42, 10 and 35 in proportion? (a) No (b) Yes
  27. 27.A garden has 15 rose plants and 3 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 5 (b) 15 : 3 (c) 6 : 2 (d) 5 : 1
  28. 28.Are 15, 27, 35 and 63 in proportion? (a) No (b) Yes
  29. 29.A train goes 105 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  30. 30.Write the ratio 45 : 35 in its simplest form. (a) 45 : 35 (b) 10 : 8 (c) 9 : 7 (d) 7 : 9
  31. 31.A car goes 135 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  32. 32.Are 2, 6, 4 and 12 in proportion? (a) No (b) Yes
  33. 33.If 8 ice creams cost ₹440, how many rupees do 9 ice creams cost?
  34. 34.₹990 is shared between Dev and Aditya in the ratio 1 : 8. How many rupees does Aditya get?
  35. 35.A scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  36. 36.A car goes 80 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  37. 37.A scooter goes 140 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  38. 38.If 3 pens cost ₹144, how many rupees do 5 pens cost?
  39. 39.1 : 9 = 4 : ?
  40. 40.Write the ratio 3 : 27 in its simplest form. (a) 2 : 10 (b) 3 : 27 (c) 9 : 1 (d) 1 : 9

Answer key

  1. 8 : 3
  2. 7 : 3
  3. 132
  4. 1 : 2
  5. 4 : 7
  6. 129
  7. Yes
  8. 50
  9. 1440
  10. 4
  11. 9 : 7
  12. 1 : 5
  13. 3 : 4
  14. 5 : 7
  15. 3 : 4
  16. 150
  17. Yes
  18. Yes
  19. 4 : 7
  20. 5 : 7
  21. 525
  22. 8 : 9
  23. 9 : 4
  24. 120
  25. 360
  26. Yes
  27. 5 : 1
  28. Yes
  29. 175
  30. 9 : 7
  31. 315
  32. Yes
  33. 495
  34. 880
  35. 240
  36. 280
  37. 350
  38. 240
  39. 36
  40. 1 : 9

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