← Ratio, proportion and the unitary method lesson New set →

Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 116 · 40 sums
TalentJR

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. 1.6 : 7 = 48 : ?
  2. 2.4 : 5 = 32 : ?
  3. 3.3 : 7 = 12 : ?
  4. 4.A class has 63 boys and 45 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 5 (b) 5 : 7 (c) 8 : 6 (d) 63 : 45
  5. 5.8 : 9 = ? : 90
  6. 6.7 : 8 = 42 : ?
  7. 7.3 : 5 = 6 : ?
  8. 8.Are 10, 15, 12 and 18 in proportion? (a) No (b) Yes
  9. 9.2 : 5 = ? : 15
  10. 10.If 3 ice creams cost ₹96, how many rupees do 4 ice creams cost?
  11. 11.Write the ratio 8 : 12 in its simplest form. (a) 2 : 3 (b) 3 : 4 (c) 8 : 12 (d) 3 : 2
  12. 12.Write the ratio 10 : 15 in its simplest form. (a) 3 : 2 (b) 3 : 4 (c) 10 : 15 (d) 2 : 3
  13. 13.₹510 is shared between Ananya and Kavya in the ratio 8 : 9. How many rupees does Ananya get?
  14. 14.7 : 8 = ? : 56
  15. 15.A bus goes 240 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  16. 16.Are 18, 21, 36 and 42 in proportion? (a) Yes (b) No
  17. 17.A bus goes 200 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  18. 18.A bus goes 280 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  19. 19.1 : 5 = ? : 40
  20. 20.₹2200 is shared between Nisha and Ananya in the ratio 3 : 8. How many rupees does Nisha get?
  21. 21.Write the ratio 6 : 42 in its simplest form. (a) 6 : 42 (b) 2 : 8 (c) 7 : 1 (d) 1 : 7
  22. 22.A car goes 150 km in 5 hours. At the same speed, how many km does it go in 8 hours?
  23. 23.Write the ratio 12 : 30 in its simplest form. (a) 12 : 30 (b) 2 : 5 (c) 3 : 6 (d) 5 : 2
  24. 24.If 3 notebooks cost ₹165, how many rupees do 7 notebooks cost?
  25. 25.2 : 9 = ? : 90
  26. 26.1 : 3 = 3 : ?
  27. 27.A scooter goes 300 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  28. 28.A box has 40 red pens and 45 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 9 (b) 9 : 10 (c) 40 : 45 (d) 9 : 8
  29. 29.Are 20, 32, 10 and 17 in proportion? (a) No (b) Yes
  30. 30.If 6 chocolates cost ₹354, how many rupees do 11 chocolates cost?
  31. 31.A library shelf has 63 storybooks and 45 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 5 (b) 63 : 45 (c) 8 : 6 (d) 5 : 7
  32. 32.₹1980 is shared between Nisha and Lakshmi in the ratio 3 : 8. How many rupees does Lakshmi get?
  33. 33.If 4 ice creams cost ₹216, how many rupees do 7 ice creams cost?
  34. 34.A bus goes 200 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  35. 35.5 : 9 = 10 : ?
  36. 36.If 4 ice creams cost ₹148, how many rupees do 7 ice creams cost?
  37. 37.A library shelf has 4 storybooks and 28 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 28 (b) 2 : 8 (c) 1 : 7 (d) 7 : 1
  38. 38.Write the ratio 21 : 14 in its simplest form. (a) 4 : 3 (b) 21 : 14 (c) 2 : 3 (d) 3 : 2
  39. 39.Are 8, 10, 28 and 38 in proportion? (a) Yes (b) No
  40. 40.1 : 9 = ? : 90

Answer key

  1. 56
  2. 40
  3. 28
  4. 7 : 5
  5. 80
  6. 48
  7. 10
  8. Yes
  9. 6
  10. 128
  11. 2 : 3
  12. 2 : 3
  13. 240
  14. 49
  15. 320
  16. Yes
  17. 300
  18. 560
  19. 8
  20. 600
  21. 1 : 7
  22. 240
  23. 2 : 5
  24. 385
  25. 20
  26. 9
  27. 150
  28. 8 : 9
  29. No
  30. 649
  31. 7 : 5
  32. 1440
  33. 378
  34. 50
  35. 18
  36. 259
  37. 1 : 7
  38. 3 : 2
  39. No
  40. 10

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets