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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 76 · 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 32 : 36 in its simplest form. (a) 9 : 10 (b) 9 : 8 (c) 8 : 9 (d) 32 : 36
  2. 2.A team has 63 batters and 28 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 4 (b) 4 : 9 (c) 10 : 5 (d) 63 : 28
  3. 3.4 : 7 = 12 : ?
  4. 4.1 : 8 = ? : 72
  5. 5.4 : 5 = ? : 25
  6. 6.A class has 9 boys and 15 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 15 (b) 5 : 3 (c) 4 : 6 (d) 3 : 5
  7. 7.Are 2, 8, 4 and 16 in proportion? (a) Yes (b) No
  8. 8.Write the ratio 4 : 20 in its simplest form. (a) 5 : 1 (b) 1 : 5 (c) 2 : 6 (d) 4 : 20
  9. 9.A car goes 300 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  10. 10.₹1540 is shared between Farhan and Arjun in the ratio 3 : 8. How many rupees does Farhan get?
  11. 11.Write the ratio 56 : 49 in its simplest form. (a) 7 : 8 (b) 56 : 49 (c) 8 : 7 (d) 9 : 8
  12. 12.A box has 24 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 1 (b) 5 : 2 (c) 24 : 6 (d) 1 : 4
  13. 13.If 3 ice creams cost ₹75, how many rupees do 2 ice creams cost?
  14. 14.₹280 is shared between Gurpreet and Rahul in the ratio 1 : 6. How many rupees does Gurpreet get?
  15. 15.Are 15, 24, 45 and 74 in proportion? (a) Yes (b) No
  16. 16.Are 2, 8, 4 and 17 in proportion? (a) No (b) Yes
  17. 17.₹50 is shared between Diya and Vivaan in the ratio 2 : 3. How many rupees does Vivaan get?
  18. 18.₹630 is shared between Aditya and Sneha in the ratio 3 : 4. How many rupees does Aditya get?
  19. 19.₹600 is shared between Meera and Rahul in the ratio 3 : 7. How many rupees does Meera get?
  20. 20.If 9 notebooks cost ₹342, how many rupees do 6 notebooks cost?
  21. 21.₹2890 is shared between Karan and Isha in the ratio 8 : 9. How many rupees does Karan get?
  22. 22.Write the ratio 48 : 54 in its simplest form. (a) 48 : 54 (b) 8 : 9 (c) 9 : 10 (d) 9 : 8
  23. 23.A basket has 12 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 9 (b) 9 : 4 (c) 12 : 27 (d) 5 : 10
  24. 24.3 : 8 = ? : 64
  25. 25.A basket has 63 mangoes and 49 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 9 (b) 63 : 49 (c) 9 : 7 (d) 10 : 8
  26. 26.Are 12, 27, 32 and 75 in proportion? (a) Yes (b) No
  27. 27.A basket has 2 mangoes and 8 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 5 (b) 1 : 4 (c) 2 : 8 (d) 4 : 1
  28. 28.₹1190 is shared between Ishaan and Ananya in the ratio 1 : 6. How many rupees does Ananya get?
  29. 29.1 : 7 = ? : 35
  30. 30.₹120 is shared between Isha and Lakshmi in the ratio 1 : 5. How many rupees does Isha get?
  31. 31.A bus goes 300 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  32. 32.Write the ratio 4 : 32 in its simplest form. (a) 8 : 1 (b) 4 : 32 (c) 2 : 9 (d) 1 : 8
  33. 33.Are 6, 16, 15 and 42 in proportion? (a) No (b) Yes
  34. 34.₹540 is shared between Rahul and Dev in the ratio 1 : 8. How many rupees does Rahul get?
  35. 35.4 : 7 = ? : 70
  36. 36.₹110 is shared between Karan and Aditya in the ratio 2 : 9. How many rupees does Karan get?
  37. 37.A library shelf has 24 storybooks and 21 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 8 (b) 8 : 7 (c) 7 : 8 (d) 24 : 21
  38. 38.A train goes 300 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  39. 39.A class has 18 boys and 14 girls. What is the ratio of boys to girls in its simplest form? (a) 10 : 8 (b) 7 : 9 (c) 18 : 14 (d) 9 : 7
  40. 40.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 1 hour?

Answer key

  1. 8 : 9
  2. 9 : 4
  3. 21
  4. 9
  5. 20
  6. 3 : 5
  7. Yes
  8. 1 : 5
  9. 450
  10. 420
  11. 8 : 7
  12. 4 : 1
  13. 50
  14. 40
  15. No
  16. No
  17. 30
  18. 270
  19. 180
  20. 228
  21. 1360
  22. 8 : 9
  23. 4 : 9
  24. 24
  25. 9 : 7
  26. No
  27. 1 : 4
  28. 1020
  29. 5
  30. 20
  31. 75
  32. 1 : 8
  33. No
  34. 60
  35. 40
  36. 20
  37. 8 : 7
  38. 180
  39. 9 : 7
  40. 30

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