← 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 346 · 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. 1.7 : 9 = ? : 72
  2. 2.Write the ratio 21 : 35 in its simplest form. (a) 21 : 35 (b) 3 : 5 (c) 4 : 6 (d) 5 : 3
  3. 3.If 4 mangoes cost ₹176, how many rupees do 11 mangoes cost?
  4. 4.₹560 is shared between Farhan and Isha in the ratio 1 : 6. How many rupees does Farhan get?
  5. 5.₹2090 is shared between Riya and Tara in the ratio 5 : 6. How many rupees does Tara get?
  6. 6.5 : 7 = 50 : ?
  7. 7.₹1430 is shared between Dev and Aarav in the ratio 6 : 7. How many rupees does Dev get?
  8. 8.Write the ratio 6 : 24 in its simplest form. (a) 4 : 1 (b) 2 : 5 (c) 1 : 4 (d) 6 : 24
  9. 9.A library shelf has 10 storybooks and 2 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 2 (b) 1 : 5 (c) 5 : 1 (d) 10 : 2
  10. 10.A train goes 180 km in 6 hours. At the same speed, how many km does it go in 7 hours?
  11. 11.If 2 bus tickets cost ₹8, how many rupees do 8 bus tickets cost?
  12. 12.Write the ratio 30 : 54 in its simplest form. (a) 6 : 10 (b) 30 : 54 (c) 5 : 9 (d) 9 : 5
  13. 13.A team has 36 batters and 9 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 4 : 1 (b) 5 : 2 (c) 1 : 4 (d) 36 : 9
  14. 14.A car goes 60 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  15. 15.Are 4, 20, 7 and 36 in proportion? (a) No (b) Yes
  16. 16.A garden has 18 rose plants and 27 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 3 (b) 3 : 4 (c) 3 : 2 (d) 18 : 27
  17. 17.Write the ratio 16 : 14 in its simplest form. (a) 16 : 14 (b) 7 : 8 (c) 8 : 7 (d) 9 : 8
  18. 18.Are 8, 12, 4 and 9 in proportion? (a) No (b) Yes
  19. 19.Are 35, 45, 63 and 81 in proportion? (a) Yes (b) No
  20. 20.1 : 3 = 10 : ?
  21. 21.Are 5, 10, 6 and 12 in proportion? (a) Yes (b) No
  22. 22.Write the ratio 8 : 32 in its simplest form. (a) 8 : 32 (b) 4 : 1 (c) 1 : 4 (d) 2 : 5
  23. 23.A garden has 14 rose plants and 21 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 4 (b) 3 : 2 (c) 14 : 21 (d) 2 : 3
  24. 24.₹1120 is shared between Sneha and Rohan in the ratio 7 : 9. How many rupees does Sneha get?
  25. 25.A garden has 18 rose plants and 6 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 2 (b) 18 : 6 (c) 1 : 3 (d) 3 : 1
  26. 26.Are 2, 8, 9 and 38 in proportion? (a) Yes (b) No
  27. 27.A train goes 150 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  28. 28.1 : 6 = 5 : ?
  29. 29.Are 12, 18, 14 and 21 in proportion? (a) No (b) Yes
  30. 30.₹210 is shared between Dev and Aditya in the ratio 2 : 5. How many rupees does Dev get?
  31. 31.A team has 24 batters and 27 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 8 : 9 (b) 9 : 10 (c) 9 : 8 (d) 24 : 27
  32. 32.Write the ratio 9 : 15 in its simplest form. (a) 3 : 5 (b) 9 : 15 (c) 5 : 3 (d) 4 : 6
  33. 33.If 3 chocolates cost ₹30, how many rupees do 5 chocolates cost?
  34. 34.₹2080 is shared between Dev and Priya in the ratio 7 : 9. How many rupees does Priya get?
  35. 35.Write the ratio 9 : 21 in its simplest form. (a) 7 : 3 (b) 3 : 7 (c) 4 : 8 (d) 9 : 21
  36. 36.Are 12, 14, 42 and 50 in proportion? (a) No (b) Yes
  37. 37.1 : 6 = 2 : ?
  38. 38.If 8 mangoes cost ₹440, how many rupees do 9 mangoes cost?
  39. 39.Are 8, 14, 12 and 22 in proportion? (a) No (b) Yes
  40. 40.A garden has 30 rose plants and 36 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 5 (b) 6 : 7 (c) 30 : 36 (d) 5 : 6

Answer key

  1. 56
  2. 3 : 5
  3. 484
  4. 80
  5. 1140
  6. 70
  7. 660
  8. 1 : 4
  9. 5 : 1
  10. 210
  11. 32
  12. 5 : 9
  13. 4 : 1
  14. 120
  15. No
  16. 2 : 3
  17. 8 : 7
  18. No
  19. Yes
  20. 30
  21. Yes
  22. 1 : 4
  23. 2 : 3
  24. 490
  25. 3 : 1
  26. No
  27. 75
  28. 30
  29. Yes
  30. 60
  31. 8 : 9
  32. 3 : 5
  33. 50
  34. 1170
  35. 3 : 7
  36. No
  37. 12
  38. 495
  39. No
  40. 5 : 6

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