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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 250 · 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.

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  1. 1.5 : 8 = ? : 72
  2. 2.A class has 9 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 4 (b) 4 : 3 (c) 9 : 12 (d) 4 : 5
  3. 3.A car goes 325 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  4. 4.A train goes 330 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  5. 5.If 9 mangoes cost ₹468, how many rupees do 11 mangoes cost?
  6. 6.₹770 is shared between Isha and Aditya in the ratio 3 : 8. How many rupees does Aditya get?
  7. 7.If 3 pens cost ₹168, how many rupees do 7 pens cost?
  8. 8.If 9 pens cost ₹504, how many rupees do 3 pens cost?
  9. 9.Are 2, 14, 4 and 29 in proportion? (a) Yes (b) No
  10. 10.Are 18, 48, 12 and 32 in proportion? (a) No (b) Yes
  11. 11.₹1530 is shared between Farhan and Riya in the ratio 2 : 7. How many rupees does Riya get?
  12. 12.If 2 bus tickets cost ₹68, how many rupees do 6 bus tickets cost?
  13. 13.If 7 bus tickets cost ₹35, how many rupees do 12 bus tickets cost?
  14. 14.₹1000 is shared between Sneha and Kavya in the ratio 2 : 3. How many rupees does Sneha get?
  15. 15.₹1950 is shared between Zoya and Joseph in the ratio 5 : 8. How many rupees does Joseph get?
  16. 16.A box has 28 red pens and 32 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 9 (b) 7 : 8 (c) 28 : 32 (d) 8 : 7
  17. 17.If 9 mangoes cost ₹216, how many rupees do 12 mangoes cost?
  18. 18.₹1000 is shared between Rahul and Diya in the ratio 1 : 4. How many rupees does Diya get?
  19. 19.If 3 ice creams cost ₹102, how many rupees do 2 ice creams cost?
  20. 20.₹1260 is shared between Dev and Farhan in the ratio 2 : 7. How many rupees does Farhan get?
  21. 21.A car goes 330 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  22. 22.Are 15, 40, 27 and 72 in proportion? (a) Yes (b) No
  23. 23.7 : 9 = ? : 54
  24. 24.Write the ratio 24 : 30 in its simplest form. (a) 5 : 4 (b) 24 : 30 (c) 5 : 6 (d) 4 : 5
  25. 25.A train goes 240 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  26. 26.A car goes 225 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  27. 27.Are 10, 15, 4 and 6 in proportion? (a) Yes (b) No
  28. 28.Write the ratio 2 : 14 in its simplest form. (a) 2 : 8 (b) 7 : 1 (c) 2 : 14 (d) 1 : 7
  29. 29.If 2 bus tickets cost ₹52, how many rupees do 11 bus tickets cost?
  30. 30.A class has 64 boys and 56 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 7 (b) 9 : 8 (c) 7 : 8 (d) 64 : 56
  31. 31.A car goes 105 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  32. 32.₹250 is shared between Joseph and Rohan in the ratio 2 : 3. How many rupees does Joseph get?
  33. 33.Write the ratio 10 : 12 in its simplest form. (a) 6 : 5 (b) 5 : 6 (c) 10 : 12 (d) 6 : 7
  34. 34.7 : 9 = ? : 72
  35. 35.If 3 bus tickets cost ₹54, how many rupees do 2 bus tickets cost?
  36. 36.A basket has 16 mangoes and 40 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 6 (b) 5 : 2 (c) 2 : 5 (d) 16 : 40
  37. 37.A class has 45 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 45 : 36 (b) 5 : 4 (c) 4 : 5 (d) 6 : 5
  38. 38.Write the ratio 45 : 63 in its simplest form. (a) 7 : 5 (b) 6 : 8 (c) 45 : 63 (d) 5 : 7
  39. 39.A basket has 42 mangoes and 48 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 7 (b) 7 : 8 (c) 8 : 9 (d) 42 : 48
  40. 40.A team has 24 batters and 3 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 8 (b) 8 : 1 (c) 9 : 2 (d) 24 : 3

Answer key

  1. 45
  2. 3 : 4
  3. 130
  4. 275
  5. 572
  6. 560
  7. 392
  8. 168
  9. No
  10. Yes
  11. 1190
  12. 204
  13. 60
  14. 400
  15. 1200
  16. 7 : 8
  17. 288
  18. 800
  19. 68
  20. 980
  21. 110
  22. Yes
  23. 42
  24. 4 : 5
  25. 420
  26. 450
  27. Yes
  28. 1 : 7
  29. 286
  30. 8 : 7
  31. 70
  32. 100
  33. 5 : 6
  34. 56
  35. 36
  36. 2 : 5
  37. 5 : 4
  38. 5 : 7
  39. 7 : 8
  40. 8 : 1

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