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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 311 · 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.₹240 is shared between Nisha and Joseph in the ratio 5 : 7. How many rupees does Nisha get?
  2. 2.₹200 is shared between Kavya and Pooja in the ratio 2 : 3. How many rupees does Pooja get?
  3. 3.Are 42, 54, 14 and 18 in proportion? (a) Yes (b) No
  4. 4.7 : 9 = ? : 63
  5. 5.₹500 is shared between Aditya and Arjun in the ratio 3 : 7. How many rupees does Arjun get?
  6. 6.If 7 notebooks cost ₹98, how many rupees do 4 notebooks cost?
  7. 7.1 : 9 = ? : 45
  8. 8.3 : 4 = 15 : ?
  9. 9.5 : 7 = ? : 42
  10. 10.₹330 is shared between Dev and Rahul in the ratio 5 : 6. How many rupees does Dev get?
  11. 11.If 8 pens cost ₹32, how many rupees do 2 pens cost?
  12. 12.A car goes 100 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  13. 13.A library shelf has 10 storybooks and 4 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 3 (b) 5 : 2 (c) 10 : 4 (d) 2 : 5
  14. 14.7 : 8 = 14 : ?
  15. 15.Write the ratio 3 : 27 in its simplest form. (a) 3 : 27 (b) 2 : 10 (c) 1 : 9 (d) 9 : 1
  16. 16.₹900 is shared between Karan and Vivaan in the ratio 3 : 7. How many rupees does Karan get?
  17. 17.Write the ratio 8 : 6 in its simplest form. (a) 4 : 3 (b) 8 : 6 (c) 5 : 4 (d) 3 : 4
  18. 18.5 : 7 = 50 : ?
  19. 19.Are 5, 45, 2 and 18 in proportion? (a) Yes (b) No
  20. 20.A box has 16 red pens and 28 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 16 : 28 (b) 5 : 8 (c) 4 : 7 (d) 7 : 4
  21. 21.Write the ratio 4 : 28 in its simplest form. (a) 1 : 7 (b) 7 : 1 (c) 4 : 28 (d) 2 : 8
  22. 22.A train goes 120 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  23. 23.If 7 ice creams cost ₹189, how many rupees do 9 ice creams cost?
  24. 24.Write the ratio 24 : 21 in its simplest form. (a) 24 : 21 (b) 7 : 8 (c) 9 : 8 (d) 8 : 7
  25. 25.A car goes 220 km in 4 hours. At the same speed, how many km does it go in 5 hours?
  26. 26.Write the ratio 54 : 45 in its simplest form. (a) 5 : 6 (b) 54 : 45 (c) 7 : 6 (d) 6 : 5
  27. 27.7 : 9 = 56 : ?
  28. 28.₹760 is shared between Ishaan and Dev in the ratio 1 : 3. How many rupees does Dev get?
  29. 29.Write the ratio 12 : 3 in its simplest form. (a) 1 : 4 (b) 5 : 2 (c) 4 : 1 (d) 12 : 3
  30. 30.Are 4, 28, 3 and 23 in proportion? (a) No (b) Yes
  31. 31.₹700 is shared between Gurpreet and Ananya in the ratio 2 : 3. How many rupees does Gurpreet get?
  32. 32.Write the ratio 16 : 4 in its simplest form. (a) 5 : 2 (b) 4 : 1 (c) 1 : 4 (d) 16 : 4
  33. 33.If 5 ice creams cost ₹165, how many rupees do 2 ice creams cost?
  34. 34.3 : 5 = 27 : ?
  35. 35.1 : 3 = 6 : ?
  36. 36.If 5 mangoes cost ₹45, how many rupees do 4 mangoes cost?
  37. 37.Are 12, 16, 6 and 9 in proportion? (a) Yes (b) No
  38. 38.1 : 4 = 4 : ?
  39. 39.A scooter goes 400 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  40. 40.4 : 9 = 32 : ?

Answer key

  1. 100
  2. 120
  3. Yes
  4. 49
  5. 350
  6. 56
  7. 5
  8. 20
  9. 30
  10. 150
  11. 8
  12. 300
  13. 5 : 2
  14. 16
  15. 1 : 9
  16. 270
  17. 4 : 3
  18. 70
  19. Yes
  20. 4 : 7
  21. 1 : 7
  22. 320
  23. 243
  24. 8 : 7
  25. 275
  26. 6 : 5
  27. 72
  28. 570
  29. 4 : 1
  30. No
  31. 280
  32. 4 : 1
  33. 66
  34. 45
  35. 18
  36. 36
  37. No
  38. 16
  39. 80
  40. 72

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