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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 303 · 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 scooter goes 280 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  2. 2.A basket has 8 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 3 (b) 8 : 12 (c) 3 : 2 (d) 3 : 4
  3. 3.Are 6, 8, 9 and 14 in proportion? (a) Yes (b) No
  4. 4.If 3 chocolates cost ₹153, how many rupees do 5 chocolates cost?
  5. 5.Are 30, 42, 40 and 57 in proportion? (a) No (b) Yes
  6. 6.7 : 9 = 49 : ?
  7. 7.Are 6, 30, 5 and 26 in proportion? (a) No (b) Yes
  8. 8.A bus goes 450 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  9. 9.If 8 bus tickets cost ₹160, how many rupees do 5 bus tickets cost?
  10. 10.Write the ratio 56 : 16 in its simplest form. (a) 7 : 2 (b) 56 : 16 (c) 8 : 3 (d) 2 : 7
  11. 11.₹1320 is shared between Priya and Vivaan in the ratio 3 : 8. How many rupees does Vivaan get?
  12. 12.A box has 63 red pens and 72 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 63 : 72 (b) 7 : 8 (c) 8 : 9 (d) 8 : 7
  13. 13.A box has 15 red pens and 24 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 15 : 24 (b) 8 : 5 (c) 5 : 8 (d) 6 : 9
  14. 14.A basket has 32 mangoes and 56 apples. What is the ratio of mangoes to apples in its simplest form? (a) 32 : 56 (b) 5 : 8 (c) 7 : 4 (d) 4 : 7
  15. 15.Are 3, 18, 5 and 33 in proportion? (a) No (b) Yes
  16. 16.5 : 6 = 20 : ?
  17. 17.A bus goes 350 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  18. 18.Are 8, 10, 16 and 20 in proportion? (a) Yes (b) No
  19. 19.A train goes 175 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  20. 20.If 7 ice creams cost ₹70, how many rupees do 11 ice creams cost?
  21. 21.₹2200 is shared between Tara and Ishaan in the ratio 2 : 9. How many rupees does Tara get?
  22. 22.Are 6, 16, 27 and 73 in proportion? (a) Yes (b) No
  23. 23.₹440 is shared between Priya and Vivaan in the ratio 2 : 9. How many rupees does Priya get?
  24. 24.A car goes 180 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  25. 25.If 5 chocolates cost ₹45, how many rupees do 11 chocolates cost?
  26. 26.3 : 4 = ? : 40
  27. 27.A library shelf has 35 storybooks and 5 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 2 (b) 35 : 5 (c) 1 : 7 (d) 7 : 1
  28. 28.4 : 5 = 36 : ?
  29. 29.If 6 ice creams cost ₹60, how many rupees do 3 ice creams cost?
  30. 30.Write the ratio 6 : 8 in its simplest form. (a) 6 : 8 (b) 4 : 3 (c) 4 : 5 (d) 3 : 4
  31. 31.If 5 chocolates cost ₹25, how many rupees do 9 chocolates cost?
  32. 32.A library shelf has 10 storybooks and 5 science books. What is the ratio of storybooks to science books in its simplest form? (a) 10 : 5 (b) 3 : 2 (c) 1 : 2 (d) 2 : 1
  33. 33.A basket has 35 mangoes and 20 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 7 (b) 35 : 20 (c) 7 : 4 (d) 8 : 5
  34. 34.₹1440 is shared between Vivaan and Joseph in the ratio 3 : 5. How many rupees does Joseph get?
  35. 35.A class has 81 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 9 (b) 10 : 8 (c) 81 : 63 (d) 9 : 7
  36. 36.If 3 pens cost ₹63, how many rupees do 4 pens cost?
  37. 37.₹720 is shared between Aarav and Kabir in the ratio 1 : 5. How many rupees does Aarav get?
  38. 38.Write the ratio 14 : 6 in its simplest form. (a) 8 : 4 (b) 14 : 6 (c) 7 : 3 (d) 3 : 7
  39. 39.A team has 8 batters and 16 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 1 (b) 1 : 2 (c) 2 : 3 (d) 8 : 16
  40. 40.A car goes 100 km in 2 hours. At the same speed, how many km does it go in 4 hours?

Answer key

  1. 490
  2. 2 : 3
  3. No
  4. 255
  5. No
  6. 63
  7. No
  8. 75
  9. 100
  10. 7 : 2
  11. 960
  12. 7 : 8
  13. 5 : 8
  14. 4 : 7
  15. No
  16. 24
  17. 210
  18. Yes
  19. 210
  20. 110
  21. 400
  22. No
  23. 80
  24. 120
  25. 99
  26. 30
  27. 7 : 1
  28. 45
  29. 30
  30. 3 : 4
  31. 45
  32. 2 : 1
  33. 7 : 4
  34. 900
  35. 9 : 7
  36. 84
  37. 120
  38. 7 : 3
  39. 1 : 2
  40. 200

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