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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 254 · 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.A class has 5 boys and 35 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 1 (b) 5 : 35 (c) 2 : 8 (d) 1 : 7
  2. 2.Write the ratio 35 : 21 in its simplest form. (a) 5 : 3 (b) 35 : 21 (c) 3 : 5 (d) 6 : 4
  3. 3.A scooter goes 175 km in 5 hours. At the same speed, how many km does it go in 8 hours?
  4. 4.A train goes 110 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  5. 5.A class has 18 boys and 81 girls. What is the ratio of boys to girls in its simplest form? (a) 18 : 81 (b) 3 : 10 (c) 2 : 9 (d) 9 : 2
  6. 6.₹1200 is shared between Rahul and Tara in the ratio 3 : 5. How many rupees does Rahul get?
  7. 7.If 5 chocolates cost ₹125, how many rupees do 7 chocolates cost?
  8. 8.₹1260 is shared between Ananya and Rahul in the ratio 2 : 5. How many rupees does Ananya get?
  9. 9.₹220 is shared between Rahul and Gurpreet in the ratio 3 : 8. How many rupees does Rahul get?
  10. 10.A basket has 28 mangoes and 49 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 7 (b) 28 : 49 (c) 7 : 4 (d) 5 : 8
  11. 11.Are 15, 21, 35 and 50 in proportion? (a) Yes (b) No
  12. 12.Write the ratio 15 : 10 in its simplest form. (a) 4 : 3 (b) 2 : 3 (c) 3 : 2 (d) 15 : 10
  13. 13.A scooter goes 60 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  14. 14.If 4 mangoes cost ₹140, how many rupees do 12 mangoes cost?
  15. 15.Write the ratio 21 : 15 in its simplest form. (a) 21 : 15 (b) 5 : 7 (c) 8 : 6 (d) 7 : 5
  16. 16.If 2 chocolates cost ₹90, how many rupees do 11 chocolates cost?
  17. 17.₹140 is shared between Diya and Kabir in the ratio 5 : 9. How many rupees does Kabir get?
  18. 18.7 : 9 = ? : 81
  19. 19.Write the ratio 35 : 25 in its simplest form. (a) 5 : 7 (b) 7 : 5 (c) 35 : 25 (d) 8 : 6
  20. 20.If 3 chocolates cost ₹135, how many rupees do 12 chocolates cost?
  21. 21.₹440 is shared between Gurpreet and Isha in the ratio 2 : 9. How many rupees does Isha get?
  22. 22.A train goes 390 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  23. 23.If 3 bus tickets cost ₹99, how many rupees do 10 bus tickets cost?
  24. 24.If 7 mangoes cost ₹273, how many rupees do 3 mangoes cost?
  25. 25.If 9 bus tickets cost ₹477, how many rupees do 10 bus tickets cost?
  26. 26.A team has 20 batters and 5 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 4 (b) 4 : 1 (c) 20 : 5 (d) 5 : 2
  27. 27.Write the ratio 16 : 2 in its simplest form. (a) 9 : 2 (b) 8 : 1 (c) 16 : 2 (d) 1 : 8
  28. 28.Write the ratio 15 : 20 in its simplest form. (a) 4 : 5 (b) 3 : 4 (c) 15 : 20 (d) 4 : 3
  29. 29.5 : 9 = 25 : ?
  30. 30.A library shelf has 8 storybooks and 10 science books. What is the ratio of storybooks to science books in its simplest form? (a) 5 : 4 (b) 5 : 6 (c) 4 : 5 (d) 8 : 10
  31. 31.2 : 5 = 14 : ?
  32. 32.₹770 is shared between Rohan and Vivaan in the ratio 5 : 6. How many rupees does Vivaan get?
  33. 33.A basket has 12 mangoes and 28 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 3 (b) 12 : 28 (c) 3 : 7 (d) 4 : 8
  34. 34.If 8 pens cost ₹96, how many rupees do 4 pens cost?
  35. 35.A class has 15 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 5 (b) 5 : 4 (c) 15 : 12 (d) 4 : 5
  36. 36.A bus goes 480 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  37. 37.Write the ratio 56 : 8 in its simplest form. (a) 56 : 8 (b) 1 : 7 (c) 7 : 1 (d) 8 : 2
  38. 38.A scooter goes 200 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  39. 39.Write the ratio 21 : 28 in its simplest form. (a) 4 : 3 (b) 4 : 5 (c) 3 : 4 (d) 21 : 28
  40. 40.Are 6, 9, 14 and 22 in proportion? (a) Yes (b) No

Answer key

  1. 1 : 7
  2. 5 : 3
  3. 280
  4. 385
  5. 2 : 9
  6. 450
  7. 175
  8. 360
  9. 60
  10. 4 : 7
  11. No
  12. 3 : 2
  13. 180
  14. 420
  15. 7 : 5
  16. 495
  17. 90
  18. 63
  19. 7 : 5
  20. 540
  21. 360
  22. 195
  23. 330
  24. 117
  25. 530
  26. 4 : 1
  27. 8 : 1
  28. 3 : 4
  29. 45
  30. 4 : 5
  31. 35
  32. 420
  33. 3 : 7
  34. 48
  35. 5 : 4
  36. 640
  37. 7 : 1
  38. 350
  39. 3 : 4
  40. No

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