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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 111 · 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.₹1800 is shared between Kabir and Gurpreet in the ratio 2 : 7. How many rupees does Kabir get?
  2. 2.A car goes 175 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  3. 3.If 5 notebooks cost ₹55, how many rupees do 9 notebooks cost?
  4. 4.If 4 pens cost ₹72, how many rupees do 2 pens cost?
  5. 5.5 : 7 = 45 : ?
  6. 6.₹110 is shared between Ananya and Riya in the ratio 2 : 9. How many rupees does Riya get?
  7. 7.Are 9, 12, 18 and 27 in proportion? (a) Yes (b) No
  8. 8.1 : 4 = 8 : ?
  9. 9.A box has 54 red pens and 48 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 54 : 48 (b) 9 : 8 (c) 8 : 9 (d) 10 : 9
  10. 10.2 : 3 = ? : 6
  11. 11.₹260 is shared between Riya and Lakshmi in the ratio 5 : 8. How many rupees does Lakshmi get?
  12. 12.A scooter goes 420 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  13. 13.3 : 8 = 6 : ?
  14. 14.7 : 9 = 49 : ?
  15. 15.1 : 4 = 9 : ?
  16. 16.4 : 5 = 20 : ?
  17. 17.Write the ratio 18 : 30 in its simplest form. (a) 18 : 30 (b) 3 : 5 (c) 5 : 3 (d) 4 : 6
  18. 18.A garden has 72 rose plants and 64 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 8 (b) 8 : 9 (c) 10 : 9 (d) 72 : 64
  19. 19.Write the ratio 40 : 15 in its simplest form. (a) 3 : 8 (b) 8 : 3 (c) 9 : 4 (d) 40 : 15
  20. 20.Write the ratio 8 : 2 in its simplest form. (a) 4 : 1 (b) 8 : 2 (c) 1 : 4 (d) 5 : 2
  21. 21.If 8 notebooks cost ₹416, how many rupees do 11 notebooks cost?
  22. 22.5 : 6 = 15 : ?
  23. 23.Write the ratio 64 : 72 in its simplest form. (a) 9 : 8 (b) 9 : 10 (c) 8 : 9 (d) 64 : 72
  24. 24.If 2 bus tickets cost ₹26, how many rupees do 6 bus tickets cost?
  25. 25.If 6 pens cost ₹18, how many rupees do 11 pens cost?
  26. 26.₹1120 is shared between Tara and Meera in the ratio 1 : 7. How many rupees does Tara get?
  27. 27.If 4 ice creams cost ₹84, how many rupees do 11 ice creams cost?
  28. 28.Are 6, 54, 2 and 18 in proportion? (a) No (b) Yes
  29. 29.4 : 9 = 16 : ?
  30. 30.2 : 9 = ? : 90
  31. 31.Are 10, 18, 20 and 36 in proportion? (a) No (b) Yes
  32. 32.Write the ratio 45 : 36 in its simplest form. (a) 45 : 36 (b) 4 : 5 (c) 6 : 5 (d) 5 : 4
  33. 33.A car goes 240 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  34. 34.7 : 9 = ? : 63
  35. 35.Are 4, 24, 7 and 42 in proportion? (a) No (b) Yes
  36. 36.5 : 8 = 10 : ?
  37. 37.A car goes 120 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  38. 38.Are 9, 24, 21 and 56 in proportion? (a) No (b) Yes
  39. 39.Are 3, 9, 4 and 13 in proportion? (a) Yes (b) No
  40. 40.2 : 3 = ? : 9

Answer key

  1. 400
  2. 210
  3. 99
  4. 36
  5. 63
  6. 90
  7. No
  8. 32
  9. 9 : 8
  10. 4
  11. 160
  12. 210
  13. 16
  14. 63
  15. 36
  16. 25
  17. 3 : 5
  18. 9 : 8
  19. 8 : 3
  20. 4 : 1
  21. 572
  22. 18
  23. 8 : 9
  24. 78
  25. 33
  26. 140
  27. 231
  28. Yes
  29. 36
  30. 20
  31. Yes
  32. 5 : 4
  33. 360
  34. 49
  35. Yes
  36. 16
  37. 280
  38. Yes
  39. No
  40. 6

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