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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 46 · 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.If 8 chocolates cost ₹104, how many rupees do 9 chocolates cost?
  2. 2.Write the ratio 20 : 35 in its simplest form. (a) 5 : 8 (b) 4 : 7 (c) 20 : 35 (d) 7 : 4
  3. 3.Are 6, 48, 3 and 24 in proportion? (a) No (b) Yes
  4. 4.₹200 is shared between Aarav and Riya in the ratio 1 : 4. How many rupees does Riya get?
  5. 5.₹990 is shared between Aarav and Priya in the ratio 2 : 7. How many rupees does Priya get?
  6. 6.A basket has 10 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 10 : 45 (b) 2 : 9 (c) 9 : 2 (d) 3 : 10
  7. 7.Write the ratio 42 : 18 in its simplest form. (a) 3 : 7 (b) 42 : 18 (c) 7 : 3 (d) 8 : 4
  8. 8.If 8 mangoes cost ₹352, how many rupees do 12 mangoes cost?
  9. 9.A basket has 12 mangoes and 28 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 7 (b) 7 : 3 (c) 12 : 28 (d) 4 : 8
  10. 10.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  11. 11.If 2 bus tickets cost ₹22, how many rupees do 8 bus tickets cost?
  12. 12.Write the ratio 9 : 18 in its simplest form. (a) 2 : 1 (b) 9 : 18 (c) 1 : 2 (d) 2 : 3
  13. 13.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  14. 14.Write the ratio 42 : 48 in its simplest form. (a) 42 : 48 (b) 8 : 7 (c) 8 : 9 (d) 7 : 8
  15. 15.If 3 bus tickets cost ₹144, how many rupees do 6 bus tickets cost?
  16. 16.Write the ratio 12 : 14 in its simplest form. (a) 7 : 6 (b) 12 : 14 (c) 7 : 8 (d) 6 : 7
  17. 17.₹570 is shared between Ishaan and Meera in the ratio 1 : 2. How many rupees does Ishaan get?
  18. 18.Write the ratio 16 : 4 in its simplest form. (a) 1 : 4 (b) 16 : 4 (c) 5 : 2 (d) 4 : 1
  19. 19.If 6 pens cost ₹120, how many rupees do 10 pens cost?
  20. 20.A box has 4 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 18 (b) 3 : 10 (c) 9 : 2 (d) 2 : 9
  21. 21.Write the ratio 3 : 12 in its simplest form. (a) 3 : 12 (b) 1 : 4 (c) 2 : 5 (d) 4 : 1
  22. 22.1 : 8 = ? : 16
  23. 23.Write the ratio 54 : 48 in its simplest form. (a) 8 : 9 (b) 54 : 48 (c) 9 : 8 (d) 10 : 9
  24. 24.Write the ratio 3 : 21 in its simplest form. (a) 2 : 8 (b) 3 : 21 (c) 7 : 1 (d) 1 : 7
  25. 25.Write the ratio 16 : 2 in its simplest form. (a) 16 : 2 (b) 9 : 2 (c) 8 : 1 (d) 1 : 8
  26. 26.A basket has 12 mangoes and 3 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 4 (b) 4 : 1 (c) 12 : 3 (d) 5 : 2
  27. 27.A scooter goes 140 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  28. 28.A bus goes 260 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  29. 29.Write the ratio 18 : 63 in its simplest form. (a) 7 : 2 (b) 18 : 63 (c) 2 : 7 (d) 3 : 8
  30. 30.6 : 7 = ? : 35
  31. 31.A train goes 240 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  32. 32.If 5 mangoes cost ₹260, how many rupees do 11 mangoes cost?
  33. 33.Are 2, 12, 9 and 56 in proportion? (a) No (b) Yes
  34. 34.A car goes 60 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  35. 35.Write the ratio 27 : 72 in its simplest form. (a) 27 : 72 (b) 4 : 9 (c) 3 : 8 (d) 8 : 3
  36. 36.A class has 35 boys and 5 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 7 (b) 7 : 1 (c) 8 : 2 (d) 35 : 5
  37. 37.Are 42, 48, 14 and 16 in proportion? (a) Yes (b) No
  38. 38.A library shelf has 24 storybooks and 54 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 10 (b) 9 : 4 (c) 4 : 9 (d) 24 : 54
  39. 39.If 3 notebooks cost ₹15, how many rupees do 10 notebooks cost?
  40. 40.A class has 16 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 16 : 8 (b) 1 : 2 (c) 2 : 1 (d) 3 : 2

Answer key

  1. 117
  2. 4 : 7
  3. Yes
  4. 160
  5. 770
  6. 2 : 9
  7. 7 : 3
  8. 528
  9. 3 : 7
  10. 160
  11. 88
  12. 1 : 2
  13. 90
  14. 7 : 8
  15. 288
  16. 6 : 7
  17. 190
  18. 4 : 1
  19. 200
  20. 2 : 9
  21. 1 : 4
  22. 2
  23. 9 : 8
  24. 1 : 7
  25. 8 : 1
  26. 4 : 1
  27. 70
  28. 455
  29. 2 : 7
  30. 30
  31. 80
  32. 572
  33. No
  34. 30
  35. 3 : 8
  36. 7 : 1
  37. Yes
  38. 4 : 9
  39. 50
  40. 2 : 1

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