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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 178 · 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 2 pens cost ₹16, how many rupees do 4 pens cost?
  2. 2.A bus goes 60 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  3. 3.₹1350 is shared between Arjun and Aditya in the ratio 4 : 5. How many rupees does Aditya get?
  4. 4.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  5. 5.3 : 5 = ? : 40
  6. 6.If 6 ice creams cost ₹66, how many rupees do 9 ice creams cost?
  7. 7.A scooter goes 150 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  8. 8.Are 5, 10, 4 and 9 in proportion? (a) No (b) Yes
  9. 9.A scooter goes 110 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  10. 10.A train goes 165 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  11. 11.If 2 pens cost ₹28, how many rupees do 8 pens cost?
  12. 12.A garden has 10 rose plants and 12 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 10 : 12 (b) 6 : 5 (c) 5 : 6 (d) 6 : 7
  13. 13.Are 24, 30, 12 and 16 in proportion? (a) No (b) Yes
  14. 14.Write the ratio 8 : 56 in its simplest form. (a) 2 : 8 (b) 7 : 1 (c) 8 : 56 (d) 1 : 7
  15. 15.₹1760 is shared between Diya and Saanvi in the ratio 4 : 7. How many rupees does Saanvi get?
  16. 16.A bus goes 375 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  17. 17.If 9 notebooks cost ₹126, how many rupees do 2 notebooks cost?
  18. 18.If 5 pens cost ₹55, how many rupees do 8 pens cost?
  19. 19.₹660 is shared between Meera and Tara in the ratio 4 : 7. How many rupees does Tara get?
  20. 20.Are 21, 27, 14 and 19 in proportion? (a) No (b) Yes
  21. 21.A car goes 120 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  22. 22.A car goes 165 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  23. 23.A basket has 27 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 8 (b) 7 : 3 (c) 3 : 7 (d) 27 : 63
  24. 24.Write the ratio 42 : 18 in its simplest form. (a) 3 : 7 (b) 42 : 18 (c) 7 : 3 (d) 8 : 4
  25. 25.Write the ratio 35 : 5 in its simplest form. (a) 35 : 5 (b) 8 : 2 (c) 1 : 7 (d) 7 : 1
  26. 26.₹560 is shared between Ishaan and Zoya in the ratio 5 : 9. How many rupees does Zoya get?
  27. 27.A box has 14 red pens and 2 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 2 (b) 1 : 7 (c) 14 : 2 (d) 7 : 1
  28. 28.A team has 16 batters and 40 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 2 : 5 (b) 5 : 2 (c) 3 : 6 (d) 16 : 40
  29. 29.4 : 7 = ? : 56
  30. 30.₹1050 is shared between Riya and Priya in the ratio 3 : 4. How many rupees does Priya get?
  31. 31.If 6 notebooks cost ₹138, how many rupees do 4 notebooks cost?
  32. 32.A class has 72 boys and 32 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 5 (b) 9 : 4 (c) 4 : 9 (d) 72 : 32
  33. 33.A team has 10 batters and 5 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 10 : 5 (b) 1 : 2 (c) 3 : 2 (d) 2 : 1
  34. 34.A bus goes 330 km in 6 hours. At the same speed, how many km does it go in 7 hours?
  35. 35.Are 9, 24, 12 and 35 in proportion? (a) Yes (b) No
  36. 36.A car goes 300 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  37. 37.Write the ratio 6 : 36 in its simplest form. (a) 6 : 36 (b) 2 : 7 (c) 6 : 1 (d) 1 : 6
  38. 38.If 8 chocolates cost ₹192, how many rupees do 10 chocolates cost?
  39. 39.Write the ratio 4 : 12 in its simplest form. (a) 3 : 1 (b) 1 : 3 (c) 4 : 12 (d) 2 : 4
  40. 40.If 4 pens cost ₹212, how many rupees do 10 pens cost?

Answer key

  1. 32
  2. 30
  3. 750
  4. 90
  5. 24
  6. 99
  7. 75
  8. No
  9. 275
  10. 385
  11. 112
  12. 5 : 6
  13. No
  14. 1 : 7
  15. 1120
  16. 450
  17. 28
  18. 88
  19. 420
  20. No
  21. 420
  22. 275
  23. 3 : 7
  24. 7 : 3
  25. 7 : 1
  26. 360
  27. 7 : 1
  28. 2 : 5
  29. 32
  30. 600
  31. 92
  32. 9 : 4
  33. 2 : 1
  34. 385
  35. No
  36. 120
  37. 1 : 6
  38. 240
  39. 1 : 3
  40. 530

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