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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 44 · 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.Are 12, 42, 4 and 16 in proportion? (a) No (b) Yes
  2. 2.₹1210 is shared between Lakshmi and Arjun in the ratio 5 : 6. How many rupees does Lakshmi get?
  3. 3.Write the ratio 18 : 42 in its simplest form. (a) 4 : 8 (b) 18 : 42 (c) 7 : 3 (d) 3 : 7
  4. 4.A garden has 6 rose plants and 30 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 5 (b) 6 : 30 (c) 5 : 1 (d) 2 : 6
  5. 5.Are 28, 32, 49 and 56 in proportion? (a) No (b) Yes
  6. 6.A car goes 180 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  7. 7.Write the ratio 21 : 27 in its simplest form. (a) 8 : 10 (b) 9 : 7 (c) 21 : 27 (d) 7 : 9
  8. 8.₹700 is shared between Lakshmi and Aditya in the ratio 3 : 4. How many rupees does Lakshmi get?
  9. 9.Write the ratio 9 : 18 in its simplest form. (a) 1 : 2 (b) 9 : 18 (c) 2 : 1 (d) 2 : 3
  10. 10.₹2200 is shared between Kavya and Diya in the ratio 5 : 6. How many rupees does Kavya get?
  11. 11.Are 8, 14, 28 and 49 in proportion? (a) Yes (b) No
  12. 12.If 2 notebooks cost ₹20, how many rupees do 6 notebooks cost?
  13. 13.1 : 2 = ? : 16
  14. 14.1 : 7 = ? : 28
  15. 15.8 : 9 = 64 : ?
  16. 16.If 4 chocolates cost ₹96, how many rupees do 5 chocolates cost?
  17. 17.If 6 bus tickets cost ₹288, how many rupees do 9 bus tickets cost?
  18. 18.A class has 5 boys and 40 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 8 (b) 2 : 9 (c) 8 : 1 (d) 5 : 40
  19. 19.Are 15, 24, 25 and 42 in proportion? (a) Yes (b) No
  20. 20.A scooter goes 480 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  21. 21.If 7 notebooks cost ₹301, how many rupees do 3 notebooks cost?
  22. 22.Write the ratio 27 : 36 in its simplest form. (a) 4 : 3 (b) 27 : 36 (c) 3 : 4 (d) 4 : 5
  23. 23.A train goes 150 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  24. 24.₹1760 is shared between Joseph and Aditya in the ratio 3 : 8. How many rupees does Joseph get?
  25. 25.If 2 mangoes cost ₹106, how many rupees do 11 mangoes cost?
  26. 26.Write the ratio 18 : 81 in its simplest form. (a) 18 : 81 (b) 9 : 2 (c) 2 : 9 (d) 3 : 10
  27. 27.₹350 is shared between Meera and Karan in the ratio 3 : 4. How many rupees does Meera get?
  28. 28.Write the ratio 4 : 18 in its simplest form. (a) 9 : 2 (b) 4 : 18 (c) 2 : 9 (d) 3 : 10
  29. 29.Write the ratio 42 : 54 in its simplest form. (a) 7 : 9 (b) 9 : 7 (c) 8 : 10 (d) 42 : 54
  30. 30.If 5 ice creams cost ₹170, how many rupees do 4 ice creams cost?
  31. 31.Are 12, 21, 8 and 14 in proportion? (a) No (b) Yes
  32. 32.1 : 8 = ? : 48
  33. 33.2 : 3 = ? : 6
  34. 34.A garden has 35 rose plants and 49 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 5 (b) 35 : 49 (c) 5 : 7 (d) 6 : 8
  35. 35.5 : 8 = ? : 32
  36. 36.1 : 9 = 4 : ?
  37. 37.3 : 5 = ? : 10
  38. 38.If 9 mangoes cost ₹243, how many rupees do 4 mangoes cost?
  39. 39.Are 16, 20, 20 and 25 in proportion? (a) Yes (b) No
  40. 40.1 : 6 = 8 : ?

Answer key

  1. No
  2. 550
  3. 3 : 7
  4. 1 : 5
  5. Yes
  6. 150
  7. 7 : 9
  8. 300
  9. 1 : 2
  10. 1000
  11. Yes
  12. 60
  13. 8
  14. 4
  15. 72
  16. 120
  17. 432
  18. 1 : 8
  19. No
  20. 240
  21. 129
  22. 3 : 4
  23. 180
  24. 480
  25. 583
  26. 2 : 9
  27. 150
  28. 2 : 9
  29. 7 : 9
  30. 136
  31. Yes
  32. 6
  33. 4
  34. 5 : 7
  35. 20
  36. 36
  37. 6
  38. 108
  39. Yes
  40. 48

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