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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 42 · 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.₹1820 is shared between Meera and Rahul in the ratio 5 : 8. How many rupees does Rahul get?
  2. 2.₹210 is shared between Vivaan and Aditya in the ratio 1 : 2. How many rupees does Aditya get?
  3. 3.If 4 notebooks cost ₹176, how many rupees do 3 notebooks cost?
  4. 4.Are 12, 30, 4 and 12 in proportion? (a) No (b) Yes
  5. 5.A scooter goes 240 km in 6 hours. At the same speed, how many km does it go in 7 hours?
  6. 6.If 4 notebooks cost ₹160, how many rupees do 7 notebooks cost?
  7. 7.A train goes 225 km in 5 hours. At the same speed, how many km does it go in 7 hours?
  8. 8.₹630 is shared between Tara and Ananya in the ratio 2 : 5. How many rupees does Tara get?
  9. 9.Are 24, 27, 40 and 47 in proportion? (a) Yes (b) No
  10. 10.Are 5, 15, 2 and 9 in proportion? (a) Yes (b) No
  11. 11.4 : 9 = ? : 36
  12. 12.Are 3, 24, 2 and 17 in proportion? (a) No (b) Yes
  13. 13.₹2250 is shared between Meera and Isha in the ratio 7 : 8. How many rupees does Meera get?
  14. 14.A box has 21 red pens and 15 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 7 (b) 7 : 5 (c) 21 : 15 (d) 8 : 6
  15. 15.Write the ratio 6 : 4 in its simplest form. (a) 6 : 4 (b) 2 : 3 (c) 4 : 3 (d) 3 : 2
  16. 16.3 : 5 = 15 : ?
  17. 17.1 : 2 = 2 : ?
  18. 18.If 9 bus tickets cost ₹306, how many rupees do 4 bus tickets cost?
  19. 19.If 9 notebooks cost ₹432, how many rupees do 8 notebooks cost?
  20. 20.If 3 chocolates cost ₹30, how many rupees do 11 chocolates cost?
  21. 21.1 : 9 = ? : 81
  22. 22.2 : 9 = ? : 54
  23. 23.1 : 3 = 10 : ?
  24. 24.Are 4, 18, 8 and 36 in proportion? (a) Yes (b) No
  25. 25.Are 12, 20, 24 and 40 in proportion? (a) Yes (b) No
  26. 26.Are 4, 24, 9 and 56 in proportion? (a) No (b) Yes
  27. 27.₹210 is shared between Rahul and Lakshmi in the ratio 3 : 4. How many rupees does Rahul get?
  28. 28.If 4 notebooks cost ₹220, how many rupees do 2 notebooks cost?
  29. 29.Write the ratio 27 : 3 in its simplest form. (a) 1 : 9 (b) 27 : 3 (c) 10 : 2 (d) 9 : 1
  30. 30.6 : 7 = 18 : ?
  31. 31.If 4 bus tickets cost ₹80, how many rupees do 12 bus tickets cost?
  32. 32.Write the ratio 14 : 8 in its simplest form. (a) 4 : 7 (b) 7 : 4 (c) 8 : 5 (d) 14 : 8
  33. 33.If 3 chocolates cost ₹165, how many rupees do 9 chocolates cost?
  34. 34.4 : 5 = ? : 20
  35. 35.3 : 4 = 6 : ?
  36. 36.Are 12, 30, 16 and 40 in proportion? (a) Yes (b) No
  37. 37.6 : 7 = ? : 21
  38. 38.₹1400 is shared between Aarav and Aditya in the ratio 2 : 5. How many rupees does Aditya get?
  39. 39.A garden has 30 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 5 (b) 4 : 5 (c) 5 : 4 (d) 30 : 24
  40. 40.A train goes 180 km in 3 hours. At the same speed, how many km does it go in 2 hours?

Answer key

  1. 1120
  2. 140
  3. 132
  4. No
  5. 280
  6. 280
  7. 315
  8. 180
  9. No
  10. No
  11. 16
  12. No
  13. 1050
  14. 7 : 5
  15. 3 : 2
  16. 25
  17. 4
  18. 136
  19. 384
  20. 110
  21. 9
  22. 12
  23. 30
  24. Yes
  25. Yes
  26. No
  27. 90
  28. 110
  29. 9 : 1
  30. 21
  31. 240
  32. 7 : 4
  33. 495
  34. 16
  35. 8
  36. Yes
  37. 18
  38. 1000
  39. 5 : 4
  40. 120

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