← 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 219 · 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.If 7 mangoes cost ₹28, how many rupees do 10 mangoes cost?
  2. 2.2 : 7 = 6 : ?
  3. 3.Write the ratio 24 : 18 in its simplest form. (a) 24 : 18 (b) 5 : 4 (c) 4 : 3 (d) 3 : 4
  4. 4.A scooter goes 120 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  5. 5.1 : 7 = ? : 42
  6. 6.If 7 pens cost ₹273, how many rupees do 12 pens cost?
  7. 7.7 : 8 = 63 : ?
  8. 8.If 9 chocolates cost ₹27, how many rupees do 7 chocolates cost?
  9. 9.A car goes 240 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  10. 10.If 7 chocolates cost ₹280, how many rupees do 9 chocolates cost?
  11. 11.₹360 is shared between Aditya and Arjun in the ratio 2 : 7. How many rupees does Aditya get?
  12. 12.Are 15, 24, 20 and 32 in proportion? (a) No (b) Yes
  13. 13.Are 10, 25, 6 and 15 in proportion? (a) Yes (b) No
  14. 14.If 9 ice creams cost ₹261, how many rupees do 8 ice creams cost?
  15. 15.A team has 24 batters and 15 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 6 (b) 24 : 15 (c) 8 : 5 (d) 5 : 8
  16. 16.A car goes 120 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  17. 17.6 : 7 = 48 : ?
  18. 18.Are 6, 9, 8 and 12 in proportion? (a) No (b) Yes
  19. 19.1 : 5 = 3 : ?
  20. 20.Are 12, 28, 6 and 17 in proportion? (a) Yes (b) No
  21. 21.1 : 6 = 3 : ?
  22. 22.A scooter goes 330 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  23. 23.₹2720 is shared between Farhan and Nisha in the ratio 7 : 9. How many rupees does Farhan get?
  24. 24.₹40 is shared between Ishaan and Priya in the ratio 1 : 3. How many rupees does Priya get?
  25. 25.Are 5, 20, 4 and 19 in proportion? (a) Yes (b) No
  26. 26.₹400 is shared between Manav and Gurpreet in the ratio 1 : 9. How many rupees does Gurpreet get?
  27. 27.A library shelf has 30 storybooks and 5 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 6 (b) 7 : 2 (c) 30 : 5 (d) 6 : 1
  28. 28.A library shelf has 63 storybooks and 54 science books. What is the ratio of storybooks to science books in its simplest form? (a) 63 : 54 (b) 6 : 7 (c) 7 : 6 (d) 8 : 7
  29. 29.If 7 pens cost ₹406, how many rupees do 5 pens cost?
  30. 30.7 : 8 = 70 : ?
  31. 31.4 : 9 = ? : 27
  32. 32.Are 6, 18, 9 and 27 in proportion? (a) No (b) Yes
  33. 33.If 5 mangoes cost ₹135, how many rupees do 6 mangoes cost?
  34. 34.Write the ratio 6 : 30 in its simplest form. (a) 5 : 1 (b) 2 : 6 (c) 1 : 5 (d) 6 : 30
  35. 35.Are 40, 45, 56 and 64 in proportion? (a) Yes (b) No
  36. 36.₹1690 is shared between Tara and Meera in the ratio 4 : 9. How many rupees does Meera get?
  37. 37.Write the ratio 18 : 9 in its simplest form. (a) 3 : 2 (b) 1 : 2 (c) 2 : 1 (d) 18 : 9
  38. 38.3 : 5 = ? : 25
  39. 39.A library shelf has 30 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 2 (b) 5 : 1 (c) 30 : 6 (d) 1 : 5
  40. 40.5 : 7 = 30 : ?

Answer key

  1. 40
  2. 21
  3. 4 : 3
  4. 160
  5. 6
  6. 468
  7. 72
  8. 21
  9. 120
  10. 360
  11. 80
  12. Yes
  13. Yes
  14. 232
  15. 8 : 5
  16. 180
  17. 56
  18. Yes
  19. 15
  20. No
  21. 18
  22. 440
  23. 1190
  24. 30
  25. No
  26. 360
  27. 6 : 1
  28. 7 : 6
  29. 290
  30. 80
  31. 12
  32. Yes
  33. 162
  34. 1 : 5
  35. No
  36. 1170
  37. 2 : 1
  38. 15
  39. 5 : 1
  40. 42

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