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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 68 · 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.Are 6, 14, 9 and 21 in proportion? (a) Yes (b) No
  2. 2.Write the ratio 18 : 8 in its simplest form. (a) 10 : 5 (b) 9 : 4 (c) 18 : 8 (d) 4 : 9
  3. 3.6 : 7 = ? : 35
  4. 4.Are 6, 27, 8 and 37 in proportion? (a) No (b) Yes
  5. 5.Are 4, 6, 6 and 9 in proportion? (a) No (b) Yes
  6. 6.₹550 is shared between Gurpreet and Manav in the ratio 4 : 7. How many rupees does Gurpreet get?
  7. 7.Are 20, 32, 25 and 42 in proportion? (a) No (b) Yes
  8. 8.Write the ratio 32 : 56 in its simplest form. (a) 32 : 56 (b) 7 : 4 (c) 5 : 8 (d) 4 : 7
  9. 9.₹900 is shared between Meera and Zoya in the ratio 7 : 8. How many rupees does Zoya get?
  10. 10.If 3 pens cost ₹69, how many rupees do 12 pens cost?
  11. 11.A scooter goes 210 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  12. 12.Are 12, 20, 24 and 40 in proportion? (a) Yes (b) No
  13. 13.If 4 chocolates cost ₹12, how many rupees do 8 chocolates cost?
  14. 14.Write the ratio 63 : 27 in its simplest form. (a) 7 : 3 (b) 63 : 27 (c) 8 : 4 (d) 3 : 7
  15. 15.A scooter goes 180 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  16. 16.3 : 4 = ? : 40
  17. 17.Write the ratio 25 : 10 in its simplest form. (a) 6 : 3 (b) 5 : 2 (c) 2 : 5 (d) 25 : 10
  18. 18.A class has 16 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 16 : 8 (b) 3 : 2 (c) 1 : 2 (d) 2 : 1
  19. 19.Are 14, 18, 35 and 45 in proportion? (a) No (b) Yes
  20. 20.5 : 8 = ? : 40
  21. 21.Are 4, 20, 9 and 46 in proportion? (a) No (b) Yes
  22. 22.5 : 7 = 50 : ?
  23. 23.A train goes 120 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  24. 24.Are 24, 27, 16 and 18 in proportion? (a) Yes (b) No
  25. 25.A bus goes 225 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  26. 26.Are 3, 6, 6 and 13 in proportion? (a) Yes (b) No
  27. 27.₹1100 is shared between Karan and Rahul in the ratio 3 : 8. How many rupees does Karan get?
  28. 28.Are 15, 18, 40 and 48 in proportion? (a) Yes (b) No
  29. 29.If 7 ice creams cost ₹350, how many rupees do 3 ice creams cost?
  30. 30.Are 2, 6, 3 and 9 in proportion? (a) No (b) Yes
  31. 31.6 : 7 = 12 : ?
  32. 32.₹700 is shared between Pooja and Riya in the ratio 1 : 9. How many rupees does Riya get?
  33. 33.A train goes 180 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  34. 34.Are 18, 48, 21 and 56 in proportion? (a) Yes (b) No
  35. 35.If 3 notebooks cost ₹30, how many rupees do 6 notebooks cost?
  36. 36.₹40 is shared between Arjun and Ananya in the ratio 1 : 3. How many rupees does Ananya get?
  37. 37.1 : 4 = ? : 20
  38. 38.7 : 9 = 49 : ?
  39. 39.₹1260 is shared between Meera and Tara in the ratio 3 : 4. How many rupees does Meera get?
  40. 40.Are 20, 45, 12 and 27 in proportion? (a) Yes (b) No

Answer key

  1. Yes
  2. 9 : 4
  3. 30
  4. No
  5. Yes
  6. 200
  7. No
  8. 4 : 7
  9. 480
  10. 276
  11. 70
  12. Yes
  13. 24
  14. 7 : 3
  15. 360
  16. 30
  17. 5 : 2
  18. 2 : 1
  19. Yes
  20. 25
  21. No
  22. 70
  23. 320
  24. Yes
  25. 75
  26. No
  27. 300
  28. Yes
  29. 150
  30. Yes
  31. 14
  32. 630
  33. 240
  34. Yes
  35. 60
  36. 30
  37. 5
  38. 63
  39. 540
  40. Yes

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