← 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 143 · 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.A basket has 63 mangoes and 18 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 2 (b) 63 : 18 (c) 8 : 3 (d) 2 : 7
  2. 2.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  3. 3.3 : 5 = ? : 35
  4. 4.Are 21, 24, 35 and 41 in proportion? (a) No (b) Yes
  5. 5.A car goes 150 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  6. 6.₹160 is shared between Kabir and Priya in the ratio 1 : 3. How many rupees does Priya get?
  7. 7.Write the ratio 10 : 18 in its simplest form. (a) 6 : 10 (b) 10 : 18 (c) 5 : 9 (d) 9 : 5
  8. 8.Are 6, 24, 2 and 9 in proportion? (a) Yes (b) No
  9. 9.If 3 chocolates cost ₹171, how many rupees do 2 chocolates cost?
  10. 10.Write the ratio 40 : 25 in its simplest form. (a) 40 : 25 (b) 8 : 5 (c) 5 : 8 (d) 9 : 6
  11. 11.A team has 12 batters and 21 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 5 : 8 (b) 12 : 21 (c) 7 : 4 (d) 4 : 7
  12. 12.A scooter goes 180 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  13. 13.6 : 7 = ? : 28
  14. 14.₹2600 is shared between Sneha and Lakshmi in the ratio 5 : 8. How many rupees does Sneha get?
  15. 15.A box has 35 red pens and 14 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 2 (b) 6 : 3 (c) 35 : 14 (d) 2 : 5
  16. 16.If 9 pens cost ₹99, how many rupees do 7 pens cost?
  17. 17.A car goes 400 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  18. 18.Write the ratio 6 : 24 in its simplest form. (a) 6 : 24 (b) 1 : 4 (c) 4 : 1 (d) 2 : 5
  19. 19.A bus goes 130 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  20. 20.A class has 14 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 14 : 21 (b) 3 : 4 (c) 2 : 3 (d) 3 : 2
  21. 21.Write the ratio 8 : 4 in its simplest form. (a) 1 : 2 (b) 3 : 2 (c) 2 : 1 (d) 8 : 4
  22. 22.Write the ratio 32 : 20 in its simplest form. (a) 32 : 20 (b) 9 : 6 (c) 8 : 5 (d) 5 : 8
  23. 23.4 : 7 = 12 : ?
  24. 24.₹630 is shared between Meera and Dev in the ratio 1 : 8. How many rupees does Meera get?
  25. 25.Are 24, 42, 12 and 23 in proportion? (a) Yes (b) No
  26. 26.Are 35, 40, 14 and 16 in proportion? (a) No (b) Yes
  27. 27.A library shelf has 81 storybooks and 18 science books. What is the ratio of storybooks to science books in its simplest form? (a) 10 : 3 (b) 2 : 9 (c) 9 : 2 (d) 81 : 18
  28. 28.A basket has 45 mangoes and 27 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 5 (b) 5 : 3 (c) 45 : 27 (d) 6 : 4
  29. 29.Write the ratio 30 : 6 in its simplest form. (a) 1 : 5 (b) 30 : 6 (c) 6 : 2 (d) 5 : 1
  30. 30.A team has 3 batters and 21 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 1 (b) 2 : 8 (c) 1 : 7 (d) 3 : 21
  31. 31.If 2 ice creams cost ₹44, how many rupees do 7 ice creams cost?
  32. 32.Write the ratio 72 : 8 in its simplest form. (a) 72 : 8 (b) 1 : 9 (c) 9 : 1 (d) 10 : 2
  33. 33.A basket has 5 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 9 (b) 9 : 1 (c) 5 : 45 (d) 2 : 10
  34. 34.Are 8, 12, 6 and 12 in proportion? (a) Yes (b) No
  35. 35.Write the ratio 27 : 24 in its simplest form. (a) 8 : 9 (b) 27 : 24 (c) 10 : 9 (d) 9 : 8
  36. 36.Are 30, 42, 25 and 36 in proportion? (a) No (b) Yes
  37. 37.Are 4, 16, 5 and 23 in proportion? (a) Yes (b) No
  38. 38.₹60 is shared between Arjun and Joseph in the ratio 1 : 5. How many rupees does Arjun get?
  39. 39.A library shelf has 27 storybooks and 36 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 5 (b) 27 : 36 (c) 4 : 3 (d) 3 : 4
  40. 40.₹990 is shared between Aarav and Riya in the ratio 2 : 7. How many rupees does Riya get?

Answer key

  1. 7 : 2
  2. 210
  3. 21
  4. No
  5. 180
  6. 120
  7. 5 : 9
  8. No
  9. 114
  10. 8 : 5
  11. 4 : 7
  12. 315
  13. 24
  14. 1000
  15. 5 : 2
  16. 77
  17. 480
  18. 1 : 4
  19. 195
  20. 2 : 3
  21. 2 : 1
  22. 8 : 5
  23. 21
  24. 70
  25. No
  26. Yes
  27. 9 : 2
  28. 5 : 3
  29. 5 : 1
  30. 1 : 7
  31. 154
  32. 9 : 1
  33. 1 : 9
  34. No
  35. 9 : 8
  36. No
  37. No
  38. 10
  39. 3 : 4
  40. 770

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