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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 209 · 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.Write the ratio 12 : 18 in its simplest form. (a) 2 : 3 (b) 3 : 2 (c) 3 : 4 (d) 12 : 18
  2. 2.A library shelf has 56 storybooks and 49 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 8 (b) 9 : 8 (c) 8 : 7 (d) 56 : 49
  3. 3.Are 25, 30, 40 and 49 in proportion? (a) Yes (b) No
  4. 4.A scooter goes 390 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  5. 5.1 : 4 = 5 : ?
  6. 6.7 : 9 = ? : 90
  7. 7.A garden has 42 rose plants and 49 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 8 (b) 42 : 49 (c) 7 : 6 (d) 6 : 7
  8. 8.Write the ratio 36 : 8 in its simplest form. (a) 10 : 3 (b) 9 : 2 (c) 2 : 9 (d) 36 : 8
  9. 9.A class has 49 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 10 (b) 7 : 9 (c) 49 : 63 (d) 9 : 7
  10. 10.Are 42, 48, 49 and 56 in proportion? (a) No (b) Yes
  11. 11.Write the ratio 9 : 24 in its simplest form. (a) 9 : 24 (b) 8 : 3 (c) 3 : 8 (d) 4 : 9
  12. 12.A scooter goes 120 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  13. 13.Write the ratio 24 : 30 in its simplest form. (a) 5 : 6 (b) 4 : 5 (c) 24 : 30 (d) 5 : 4
  14. 14.A garden has 10 rose plants and 8 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 4 (b) 6 : 5 (c) 10 : 8 (d) 4 : 5
  15. 15.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 8 hours?
  16. 16.Write the ratio 5 : 25 in its simplest form. (a) 2 : 6 (b) 1 : 5 (c) 5 : 25 (d) 5 : 1
  17. 17.Are 6, 24, 4 and 17 in proportion? (a) No (b) Yes
  18. 18.Are 20, 32, 15 and 24 in proportion? (a) Yes (b) No
  19. 19.Are 20, 25, 8 and 10 in proportion? (a) Yes (b) No
  20. 20.₹630 is shared between Joseph and Meera in the ratio 2 : 7. How many rupees does Joseph get?
  21. 21.If 5 mangoes cost ₹215, how many rupees do 11 mangoes cost?
  22. 22.A team has 5 batters and 25 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 25 (b) 2 : 6 (c) 5 : 1 (d) 1 : 5
  23. 23.If 6 notebooks cost ₹234, how many rupees do 2 notebooks cost?
  24. 24.Write the ratio 40 : 5 in its simplest form. (a) 9 : 2 (b) 40 : 5 (c) 1 : 8 (d) 8 : 1
  25. 25.A basket has 36 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 36 : 63 (b) 4 : 7 (c) 7 : 4 (d) 5 : 8
  26. 26.₹780 is shared between Aarav and Zoya in the ratio 6 : 7. How many rupees does Zoya get?
  27. 27.Write the ratio 63 : 14 in its simplest form. (a) 10 : 3 (b) 9 : 2 (c) 2 : 9 (d) 63 : 14
  28. 28.A car goes 375 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  29. 29.If 5 mangoes cost ₹175, how many rupees do 11 mangoes cost?
  30. 30.₹910 is shared between Isha and Gurpreet in the ratio 1 : 6. How many rupees does Isha get?
  31. 31.₹1430 is shared between Tara and Rohan in the ratio 4 : 7. How many rupees does Tara get?
  32. 32.7 : 8 = ? : 56
  33. 33.Write the ratio 16 : 10 in its simplest form. (a) 16 : 10 (b) 8 : 5 (c) 5 : 8 (d) 9 : 6
  34. 34.A box has 35 red pens and 15 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 4 (b) 35 : 15 (c) 3 : 7 (d) 7 : 3
  35. 35.₹1120 is shared between Isha and Ishaan in the ratio 2 : 5. How many rupees does Isha get?
  36. 36.Are 3, 15, 7 and 36 in proportion? (a) Yes (b) No
  37. 37.If 9 ice creams cost ₹45, how many rupees do 2 ice creams cost?
  38. 38.If 4 mangoes cost ₹68, how many rupees do 7 mangoes cost?
  39. 39.₹90 is shared between Ananya and Rahul in the ratio 4 : 5. How many rupees does Rahul get?
  40. 40.A scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 6 hours?

Answer key

  1. 2 : 3
  2. 8 : 7
  3. No
  4. 325
  5. 20
  6. 70
  7. 6 : 7
  8. 9 : 2
  9. 7 : 9
  10. Yes
  11. 3 : 8
  12. 210
  13. 4 : 5
  14. 5 : 4
  15. 280
  16. 1 : 5
  17. No
  18. Yes
  19. Yes
  20. 140
  21. 473
  22. 1 : 5
  23. 78
  24. 8 : 1
  25. 4 : 7
  26. 420
  27. 9 : 2
  28. 450
  29. 385
  30. 130
  31. 520
  32. 49
  33. 8 : 5
  34. 7 : 3
  35. 320
  36. No
  37. 10
  38. 119
  39. 50
  40. 180

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