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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 144 · 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.₹2250 is shared between Vivaan and Rohan in the ratio 7 : 8. How many rupees does Vivaan get?
  2. 2.If 4 bus tickets cost ₹52, how many rupees do 10 bus tickets cost?
  3. 3.5 : 6 = 45 : ?
  4. 4.₹640 is shared between Gurpreet and Ishaan in the ratio 3 : 5. How many rupees does Ishaan get?
  5. 5.Are 10, 16, 25 and 42 in proportion? (a) No (b) Yes
  6. 6.A scooter goes 180 km in 6 hours. At the same speed, how many km does it go in 7 hours?
  7. 7.Are 4, 24, 6 and 36 in proportion? (a) No (b) Yes
  8. 8.If 2 mangoes cost ₹16, how many rupees do 5 mangoes cost?
  9. 9.₹720 is shared between Tara and Pooja in the ratio 3 : 5. How many rupees does Tara get?
  10. 10.A car goes 420 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  11. 11.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  12. 12.A class has 45 boys and 72 girls. What is the ratio of boys to girls in its simplest form? (a) 45 : 72 (b) 8 : 5 (c) 5 : 8 (d) 6 : 9
  13. 13.A bus goes 480 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  14. 14.Write the ratio 10 : 12 in its simplest form. (a) 5 : 6 (b) 10 : 12 (c) 6 : 5 (d) 6 : 7
  15. 15.If 9 bus tickets cost ₹378, how many rupees do 11 bus tickets cost?
  16. 16.A train goes 100 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  17. 17.A scooter goes 225 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  18. 18.A train goes 250 km in 5 hours. At the same speed, how many km does it go in 8 hours?
  19. 19.If 7 pens cost ₹273, how many rupees do 4 pens cost?
  20. 20.If 5 ice creams cost ₹135, how many rupees do 4 ice creams cost?
  21. 21.Write the ratio 21 : 14 in its simplest form. (a) 2 : 3 (b) 21 : 14 (c) 4 : 3 (d) 3 : 2
  22. 22.If 3 notebooks cost ₹87, how many rupees do 12 notebooks cost?
  23. 23.Write the ratio 5 : 45 in its simplest form. (a) 9 : 1 (b) 2 : 10 (c) 5 : 45 (d) 1 : 9
  24. 24.Write the ratio 3 : 27 in its simplest form. (a) 1 : 9 (b) 3 : 27 (c) 9 : 1 (d) 2 : 10
  25. 25.Are 5, 45, 8 and 75 in proportion? (a) Yes (b) No
  26. 26.4 : 5 = 20 : ?
  27. 27.Write the ratio 27 : 12 in its simplest form. (a) 27 : 12 (b) 4 : 9 (c) 9 : 4 (d) 10 : 5
  28. 28.Are 20, 36, 40 and 74 in proportion? (a) No (b) Yes
  29. 29.Are 10, 16, 15 and 27 in proportion? (a) Yes (b) No
  30. 30.If 9 mangoes cost ₹333, how many rupees do 11 mangoes cost?
  31. 31.8 : 9 = ? : 63
  32. 32.If 6 chocolates cost ₹246, how many rupees do 5 chocolates cost?
  33. 33.A class has 7 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 9 (b) 2 : 10 (c) 7 : 63 (d) 9 : 1
  34. 34.3 : 7 = ? : 28
  35. 35.2 : 7 = 8 : ?
  36. 36.4 : 9 = 12 : ?
  37. 37.Write the ratio 8 : 4 in its simplest form. (a) 2 : 1 (b) 3 : 2 (c) 1 : 2 (d) 8 : 4
  38. 38.Are 12, 30, 10 and 25 in proportion? (a) Yes (b) No
  39. 39.3 : 4 = 6 : ?
  40. 40.If 6 bus tickets cost ₹102, how many rupees do 12 bus tickets cost?

Answer key

  1. 1050
  2. 130
  3. 54
  4. 400
  5. No
  6. 210
  7. Yes
  8. 40
  9. 270
  10. 280
  11. 245
  12. 5 : 8
  13. 400
  14. 5 : 6
  15. 462
  16. 50
  17. 600
  18. 400
  19. 156
  20. 108
  21. 3 : 2
  22. 348
  23. 1 : 9
  24. 1 : 9
  25. No
  26. 25
  27. 9 : 4
  28. No
  29. No
  30. 407
  31. 56
  32. 205
  33. 1 : 9
  34. 12
  35. 28
  36. 27
  37. 2 : 1
  38. Yes
  39. 8
  40. 204

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