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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 39 · 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.Write the ratio 4 : 28 in its simplest form. (a) 4 : 28 (b) 2 : 8 (c) 7 : 1 (d) 1 : 7
  2. 2.A bus goes 160 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  3. 3.If 2 chocolates cost ₹78, how many rupees do 5 chocolates cost?
  4. 4.If 9 ice creams cost ₹36, how many rupees do 7 ice creams cost?
  5. 5.If 5 notebooks cost ₹265, how many rupees do 10 notebooks cost?
  6. 6.4 : 5 = ? : 20
  7. 7.1 : 6 = ? : 18
  8. 8.2 : 5 = ? : 45
  9. 9.Are 32, 36, 64 and 75 in proportion? (a) No (b) Yes
  10. 10.Write the ratio 45 : 9 in its simplest form. (a) 5 : 1 (b) 6 : 2 (c) 45 : 9 (d) 1 : 5
  11. 11.4 : 7 = ? : 42
  12. 12.Are 16, 18, 32 and 38 in proportion? (a) Yes (b) No
  13. 13.₹1540 is shared between Gurpreet and Kavya in the ratio 5 : 6. How many rupees does Gurpreet get?
  14. 14.Are 2, 18, 7 and 63 in proportion? (a) No (b) Yes
  15. 15.A basket has 54 mangoes and 30 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 9 (b) 9 : 5 (c) 54 : 30 (d) 10 : 6
  16. 16.Write the ratio 81 : 18 in its simplest form. (a) 9 : 2 (b) 2 : 9 (c) 81 : 18 (d) 10 : 3
  17. 17.₹1560 is shared between Priya and Lakshmi in the ratio 4 : 9. How many rupees does Priya get?
  18. 18.Are 4, 18, 16 and 74 in proportion? (a) No (b) Yes
  19. 19.₹850 is shared between Isha and Riya in the ratio 2 : 3. How many rupees does Isha get?
  20. 20.Write the ratio 24 : 32 in its simplest form. (a) 24 : 32 (b) 4 : 5 (c) 3 : 4 (d) 4 : 3
  21. 21.Write the ratio 9 : 12 in its simplest form. (a) 9 : 12 (b) 4 : 3 (c) 4 : 5 (d) 3 : 4
  22. 22.If 8 pens cost ₹336, how many rupees do 12 pens cost?
  23. 23.If 5 mangoes cost ₹65, how many rupees do 7 mangoes cost?
  24. 24.8 : 9 = 80 : ?
  25. 25.1 : 5 = ? : 45
  26. 26.Write the ratio 49 : 42 in its simplest form. (a) 8 : 7 (b) 6 : 7 (c) 7 : 6 (d) 49 : 42
  27. 27.₹1820 is shared between Gurpreet and Isha in the ratio 5 : 9. How many rupees does Gurpreet get?
  28. 28.Are 2, 10, 5 and 28 in proportion? (a) Yes (b) No
  29. 29.A basket has 15 mangoes and 12 apples. What is the ratio of mangoes to apples in its simplest form? (a) 15 : 12 (b) 4 : 5 (c) 5 : 4 (d) 6 : 5
  30. 30.A team has 12 batters and 2 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 12 : 2 (b) 7 : 2 (c) 6 : 1 (d) 1 : 6
  31. 31.1 : 3 = ? : 12
  32. 32.If 8 bus tickets cost ₹128, how many rupees do 6 bus tickets cost?
  33. 33.1 : 4 = ? : 8
  34. 34.1 : 6 = 6 : ?
  35. 35.If 2 bus tickets cost ₹26, how many rupees do 7 bus tickets cost?
  36. 36.If 7 chocolates cost ₹210, how many rupees do 9 chocolates cost?
  37. 37.If 5 chocolates cost ₹55, how many rupees do 4 chocolates cost?
  38. 38.A class has 27 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 9 (b) 10 : 9 (c) 9 : 8 (d) 27 : 24
  39. 39.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  40. 40.7 : 8 = 42 : ?

Answer key

  1. 1 : 7
  2. 80
  3. 195
  4. 28
  5. 530
  6. 16
  7. 3
  8. 18
  9. No
  10. 5 : 1
  11. 24
  12. No
  13. 700
  14. Yes
  15. 9 : 5
  16. 9 : 2
  17. 480
  18. No
  19. 340
  20. 3 : 4
  21. 3 : 4
  22. 504
  23. 91
  24. 90
  25. 9
  26. 7 : 6
  27. 650
  28. No
  29. 5 : 4
  30. 6 : 1
  31. 4
  32. 96
  33. 2
  34. 36
  35. 91
  36. 270
  37. 44
  38. 9 : 8
  39. 120
  40. 48

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