← 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 69 · 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. 1.2 : 5 = ? : 10
  2. 2.1 : 2 = 3 : ?
  3. 3.₹800 is shared between Zoya and Ananya in the ratio 3 : 7. How many rupees does Ananya get?
  4. 4.8 : 9 = ? : 45
  5. 5.Are 4, 20, 2 and 13 in proportion? (a) Yes (b) No
  6. 6.3 : 8 = 21 : ?
  7. 7.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  8. 8.A bus goes 330 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  9. 9.1 : 6 = ? : 48
  10. 10.5 : 9 = 10 : ?
  11. 11.Are 8, 14, 20 and 35 in proportion? (a) No (b) Yes
  12. 12.₹140 is shared between Kabir and Ishaan in the ratio 2 : 5. How many rupees does Kabir get?
  13. 13.2 : 5 = 12 : ?
  14. 14.1 : 8 = 6 : ?
  15. 15.Write the ratio 8 : 32 in its simplest form. (a) 2 : 5 (b) 8 : 32 (c) 1 : 4 (d) 4 : 1
  16. 16.Are 15, 35, 27 and 66 in proportion? (a) Yes (b) No
  17. 17.A car goes 200 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  18. 18.A class has 3 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 1 (b) 1 : 8 (c) 2 : 9 (d) 3 : 24
  19. 19.Are 24, 42, 12 and 21 in proportion? (a) No (b) Yes
  20. 20.4 : 5 = ? : 20
  21. 21.₹120 is shared between Meera and Aditya in the ratio 5 : 7. How many rupees does Meera get?
  22. 22.Write the ratio 30 : 12 in its simplest form. (a) 6 : 3 (b) 2 : 5 (c) 30 : 12 (d) 5 : 2
  23. 23.₹140 is shared between Arjun and Meera in the ratio 5 : 9. How many rupees does Meera get?
  24. 24.If 3 notebooks cost ₹129, how many rupees do 11 notebooks cost?
  25. 25.Are 4, 32, 8 and 64 in proportion? (a) Yes (b) No
  26. 26.A car goes 300 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  27. 27.2 : 3 = 12 : ?
  28. 28.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  29. 29.A class has 10 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 6 : 7 (b) 10 : 12 (c) 5 : 6 (d) 6 : 5
  30. 30.If 7 notebooks cost ₹77, how many rupees do 10 notebooks cost?
  31. 31.A class has 14 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 2 (b) 14 : 21 (c) 2 : 3 (d) 3 : 4
  32. 32.Are 20, 24, 35 and 45 in proportion? (a) Yes (b) No
  33. 33.3 : 5 = ? : 45
  34. 34.A box has 30 red pens and 35 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 6 (b) 30 : 35 (c) 6 : 7 (d) 7 : 8
  35. 35.Write the ratio 49 : 63 in its simplest form. (a) 49 : 63 (b) 8 : 10 (c) 9 : 7 (d) 7 : 9
  36. 36.₹320 is shared between Isha and Arjun in the ratio 3 : 5. How many rupees does Isha get?
  37. 37.Are 2, 4, 3 and 6 in proportion? (a) Yes (b) No
  38. 38.₹960 is shared between Zoya and Ananya in the ratio 1 : 5. How many rupees does Zoya get?
  39. 39.A basket has 40 mangoes and 35 apples. What is the ratio of mangoes to apples in its simplest form? (a) 40 : 35 (b) 8 : 7 (c) 9 : 8 (d) 7 : 8
  40. 40.₹360 is shared between Aditya and Pooja in the ratio 2 : 7. How many rupees does Aditya get?

Answer key

  1. 4
  2. 6
  3. 560
  4. 40
  5. No
  6. 56
  7. 385
  8. 275
  9. 8
  10. 18
  11. Yes
  12. 40
  13. 30
  14. 48
  15. 1 : 4
  16. No
  17. 120
  18. 1 : 8
  19. Yes
  20. 16
  21. 50
  22. 5 : 2
  23. 90
  24. 473
  25. Yes
  26. 150
  27. 18
  28. 220
  29. 5 : 6
  30. 110
  31. 2 : 3
  32. No
  33. 27
  34. 6 : 7
  35. 7 : 9
  36. 120
  37. Yes
  38. 160
  39. 8 : 7
  40. 80

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