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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 261 · 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.Are 3, 15, 7 and 35 in proportion? (a) No (b) Yes
  2. 2.₹950 is shared between Vivaan and Kavya in the ratio 1 : 4. How many rupees does Kavya get?
  3. 3.A class has 42 boys and 49 girls. What is the ratio of boys to girls in its simplest form? (a) 42 : 49 (b) 6 : 7 (c) 7 : 6 (d) 7 : 8
  4. 4.Are 6, 24, 3 and 14 in proportion? (a) No (b) Yes
  5. 5.₹70 is shared between Farhan and Diya in the ratio 3 : 4. How many rupees does Farhan get?
  6. 6.A box has 21 red pens and 28 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 5 (b) 4 : 3 (c) 3 : 4 (d) 21 : 28
  7. 7.If 4 ice creams cost ₹172, how many rupees do 9 ice creams cost?
  8. 8.₹1950 is shared between Farhan and Rohan in the ratio 7 : 8. How many rupees does Rohan get?
  9. 9.A box has 24 red pens and 64 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 8 (b) 24 : 64 (c) 8 : 3 (d) 4 : 9
  10. 10.₹1870 is shared between Aditya and Ishaan in the ratio 4 : 7. How many rupees does Aditya get?
  11. 11.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  12. 12.A box has 14 red pens and 18 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 10 (b) 9 : 7 (c) 7 : 9 (d) 14 : 18
  13. 13.Are 2, 6, 3 and 11 in proportion? (a) No (b) Yes
  14. 14.A basket has 54 mangoes and 9 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 1 (b) 1 : 6 (c) 7 : 2 (d) 54 : 9
  15. 15.A basket has 36 mangoes and 42 apples. What is the ratio of mangoes to apples in its simplest form? (a) 36 : 42 (b) 7 : 8 (c) 7 : 6 (d) 6 : 7
  16. 16.7 : 9 = 49 : ?
  17. 17.A bus goes 60 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  18. 18.A team has 24 batters and 32 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 5 (b) 3 : 4 (c) 4 : 3 (d) 24 : 32
  19. 19.Write the ratio 63 : 14 in its simplest form. (a) 2 : 9 (b) 63 : 14 (c) 10 : 3 (d) 9 : 2
  20. 20.If 4 ice creams cost ₹32, how many rupees do 10 ice creams cost?
  21. 21.Write the ratio 9 : 36 in its simplest form. (a) 9 : 36 (b) 4 : 1 (c) 2 : 5 (d) 1 : 4
  22. 22.A class has 30 boys and 48 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 9 (b) 30 : 48 (c) 5 : 8 (d) 8 : 5
  23. 23.₹240 is shared between Aarav and Ananya in the ratio 5 : 7. How many rupees does Ananya get?
  24. 24.₹1560 is shared between Rohan and Arjun in the ratio 6 : 7. How many rupees does Rohan get?
  25. 25.Write the ratio 27 : 15 in its simplest form. (a) 27 : 15 (b) 9 : 5 (c) 10 : 6 (d) 5 : 9
  26. 26.₹1260 is shared between Gurpreet and Rahul in the ratio 2 : 5. How many rupees does Rahul get?
  27. 27.Are 10, 15, 12 and 18 in proportion? (a) No (b) Yes
  28. 28.Write the ratio 5 : 10 in its simplest form. (a) 5 : 10 (b) 2 : 1 (c) 2 : 3 (d) 1 : 2
  29. 29.3 : 4 = 15 : ?
  30. 30.Write the ratio 18 : 3 in its simplest form. (a) 7 : 2 (b) 1 : 6 (c) 6 : 1 (d) 18 : 3
  31. 31.Write the ratio 16 : 40 in its simplest form. (a) 3 : 6 (b) 2 : 5 (c) 5 : 2 (d) 16 : 40
  32. 32.Are 2, 4, 4 and 8 in proportion? (a) No (b) Yes
  33. 33.Write the ratio 15 : 35 in its simplest form. (a) 7 : 3 (b) 15 : 35 (c) 4 : 8 (d) 3 : 7
  34. 34.Write the ratio 54 : 9 in its simplest form. (a) 6 : 1 (b) 7 : 2 (c) 54 : 9 (d) 1 : 6
  35. 35.Write the ratio 18 : 12 in its simplest form. (a) 4 : 3 (b) 2 : 3 (c) 3 : 2 (d) 18 : 12
  36. 36.A bus goes 200 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  37. 37.1 : 9 = 7 : ?
  38. 38.Write the ratio 10 : 14 in its simplest form. (a) 7 : 5 (b) 10 : 14 (c) 6 : 8 (d) 5 : 7
  39. 39.1 : 3 = ? : 30
  40. 40.If 5 notebooks cost ₹65, how many rupees do 7 notebooks cost?

Answer key

  1. Yes
  2. 760
  3. 6 : 7
  4. No
  5. 30
  6. 3 : 4
  7. 387
  8. 1040
  9. 3 : 8
  10. 680
  11. 35
  12. 7 : 9
  13. No
  14. 6 : 1
  15. 6 : 7
  16. 63
  17. 240
  18. 3 : 4
  19. 9 : 2
  20. 80
  21. 1 : 4
  22. 5 : 8
  23. 140
  24. 720
  25. 9 : 5
  26. 900
  27. Yes
  28. 1 : 2
  29. 20
  30. 6 : 1
  31. 2 : 5
  32. Yes
  33. 3 : 7
  34. 6 : 1
  35. 3 : 2
  36. 120
  37. 63
  38. 5 : 7
  39. 10
  40. 91

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