← 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 376 · 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. 1.5 : 9 = 25 : ?
  2. 2.If 6 bus tickets cost ₹258, how many rupees do 3 bus tickets cost?
  3. 3.Write the ratio 21 : 28 in its simplest form. (a) 4 : 3 (b) 21 : 28 (c) 4 : 5 (d) 3 : 4
  4. 4.Are 30, 42, 35 and 50 in proportion? (a) No (b) Yes
  5. 5.5 : 8 = 20 : ?
  6. 6.₹240 is shared between Lakshmi and Priya in the ratio 1 : 3. How many rupees does Lakshmi get?
  7. 7.₹3400 is shared between Zoya and Arjun in the ratio 8 : 9. How many rupees does Arjun get?
  8. 8.A bus goes 300 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  9. 9.Are 42, 54, 56 and 72 in proportion? (a) No (b) Yes
  10. 10.5 : 7 = ? : 21
  11. 11.₹550 is shared between Kavya and Nisha in the ratio 5 : 6. How many rupees does Kavya get?
  12. 12.₹500 is shared between Kavya and Aarav in the ratio 1 : 4. How many rupees does Kavya get?
  13. 13.₹1760 is shared between Ananya and Tara in the ratio 3 : 8. How many rupees does Ananya get?
  14. 14.Are 20, 35, 36 and 64 in proportion? (a) No (b) Yes
  15. 15.Are 8, 20, 4 and 10 in proportion? (a) Yes (b) No
  16. 16.A train goes 140 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  17. 17.Write the ratio 14 : 63 in its simplest form. (a) 9 : 2 (b) 3 : 10 (c) 2 : 9 (d) 14 : 63
  18. 18.Write the ratio 4 : 18 in its simplest form. (a) 2 : 9 (b) 4 : 18 (c) 3 : 10 (d) 9 : 2
  19. 19.₹2240 is shared between Joseph and Riya in the ratio 7 : 9. How many rupees does Joseph get?
  20. 20.₹880 is shared between Gurpreet and Priya in the ratio 3 : 8. How many rupees does Priya get?
  21. 21.A class has 15 boys and 21 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 5 (b) 15 : 21 (c) 6 : 8 (d) 5 : 7
  22. 22.5 : 6 = 45 : ?
  23. 23.If 5 chocolates cost ₹145, how many rupees do 8 chocolates cost?
  24. 24.Are 48, 54, 56 and 65 in proportion? (a) Yes (b) No
  25. 25.A car goes 325 km in 5 hours. At the same speed, how many km does it go in 8 hours?
  26. 26.Write the ratio 3 : 15 in its simplest form. (a) 1 : 5 (b) 3 : 15 (c) 2 : 6 (d) 5 : 1
  27. 27.5 : 7 = ? : 49
  28. 28.3 : 5 = ? : 20
  29. 29.Are 21, 24, 42 and 51 in proportion? (a) Yes (b) No
  30. 30.A bus goes 420 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  31. 31.₹560 is shared between Pooja and Saanvi in the ratio 1 : 6. How many rupees does Pooja get?
  32. 32.Write the ratio 8 : 48 in its simplest form. (a) 8 : 48 (b) 1 : 6 (c) 6 : 1 (d) 2 : 7
  33. 33.5 : 9 = 20 : ?
  34. 34.Are 4, 32, 2 and 18 in proportion? (a) Yes (b) No
  35. 35.If 5 bus tickets cost ₹50, how many rupees do 11 bus tickets cost?
  36. 36.5 : 8 = ? : 72
  37. 37.2 : 5 = ? : 45
  38. 38.₹630 is shared between Ishaan and Meera in the ratio 1 : 6. How many rupees does Ishaan get?
  39. 39.Write the ratio 18 : 63 in its simplest form. (a) 7 : 2 (b) 2 : 7 (c) 3 : 8 (d) 18 : 63
  40. 40.Write the ratio 3 : 9 in its simplest form. (a) 2 : 4 (b) 1 : 3 (c) 3 : 9 (d) 3 : 1

Answer key

  1. 45
  2. 129
  3. 3 : 4
  4. No
  5. 32
  6. 60
  7. 1800
  8. 50
  9. Yes
  10. 15
  11. 250
  12. 100
  13. 480
  14. No
  15. Yes
  16. 210
  17. 2 : 9
  18. 2 : 9
  19. 980
  20. 640
  21. 5 : 7
  22. 54
  23. 232
  24. No
  25. 520
  26. 1 : 5
  27. 35
  28. 12
  29. No
  30. 210
  31. 80
  32. 1 : 6
  33. 36
  34. No
  35. 110
  36. 45
  37. 18
  38. 90
  39. 2 : 7
  40. 1 : 3

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