← 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 364 · 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.A class has 20 boys and 15 girls. What is the ratio of boys to girls in its simplest form? (a) 20 : 15 (b) 5 : 4 (c) 3 : 4 (d) 4 : 3
  2. 2.If 3 chocolates cost ₹174, how many rupees do 9 chocolates cost?
  3. 3.If 5 ice creams cost ₹60, how many rupees do 4 ice creams cost?
  4. 4.Are 18, 30, 24 and 40 in proportion? (a) No (b) Yes
  5. 5.5 : 9 = 20 : ?
  6. 6.7 : 8 = ? : 24
  7. 7.A train goes 90 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  8. 8.If 8 mangoes cost ₹472, how many rupees do 9 mangoes cost?
  9. 9.A basket has 5 mangoes and 45 apples. What is the ratio of mangoes to apples in its simplest form? (a) 1 : 9 (b) 5 : 45 (c) 2 : 10 (d) 9 : 1
  10. 10.1 : 2 = ? : 14
  11. 11.A car goes 240 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  12. 12.₹2700 is shared between Kabir and Diya in the ratio 7 : 8. How many rupees does Diya get?
  13. 13.Write the ratio 9 : 45 in its simplest form. (a) 5 : 1 (b) 1 : 5 (c) 2 : 6 (d) 9 : 45
  14. 14.₹600 is shared between Riya and Joseph in the ratio 7 : 8. How many rupees does Joseph get?
  15. 15.8 : 9 = ? : 36
  16. 16.5 : 8 = ? : 32
  17. 17.₹960 is shared between Aarav and Joseph in the ratio 1 : 5. How many rupees does Joseph get?
  18. 18.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  19. 19.Are 6, 42, 8 and 56 in proportion? (a) Yes (b) No
  20. 20.Are 9, 15, 21 and 37 in proportion? (a) Yes (b) No
  21. 21.If 2 mangoes cost ₹44, how many rupees do 8 mangoes cost?
  22. 22.A bus goes 300 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  23. 23.₹2000 is shared between Aarav and Kabir in the ratio 3 : 7. How many rupees does Aarav get?
  24. 24.A box has 18 red pens and 14 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 18 : 14 (b) 10 : 8 (c) 7 : 9 (d) 9 : 7
  25. 25.A class has 14 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 14 : 18 (b) 9 : 7 (c) 7 : 9 (d) 8 : 10
  26. 26.Are 3, 24, 5 and 43 in proportion? (a) No (b) Yes
  27. 27.₹250 is shared between Lakshmi and Rohan in the ratio 2 : 3. How many rupees does Rohan get?
  28. 28.A bus goes 200 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  29. 29.₹1430 is shared between Meera and Joseph in the ratio 5 : 8. How many rupees does Meera get?
  30. 30.A car goes 180 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  31. 31.Are 4, 20, 9 and 46 in proportion? (a) Yes (b) No
  32. 32.If 5 ice creams cost ₹100, how many rupees do 10 ice creams cost?
  33. 33.Are 18, 42, 24 and 56 in proportion? (a) No (b) Yes
  34. 34.Write the ratio 24 : 9 in its simplest form. (a) 3 : 8 (b) 8 : 3 (c) 9 : 4 (d) 24 : 9
  35. 35.Write the ratio 63 : 81 in its simplest form. (a) 9 : 7 (b) 7 : 9 (c) 63 : 81 (d) 8 : 10
  36. 36.Write the ratio 7 : 49 in its simplest form. (a) 7 : 1 (b) 7 : 49 (c) 1 : 7 (d) 2 : 8
  37. 37.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  38. 38.₹1600 is shared between Farhan and Meera in the ratio 3 : 7. How many rupees does Meera get?
  39. 39.Write the ratio 14 : 4 in its simplest form. (a) 14 : 4 (b) 7 : 2 (c) 8 : 3 (d) 2 : 7
  40. 40.Are 6, 24, 3 and 12 in proportion? (a) Yes (b) No

Answer key

  1. 4 : 3
  2. 522
  3. 48
  4. Yes
  5. 36
  6. 21
  7. 180
  8. 531
  9. 1 : 9
  10. 7
  11. 480
  12. 1440
  13. 1 : 5
  14. 320
  15. 32
  16. 20
  17. 800
  18. 35
  19. Yes
  20. No
  21. 176
  22. 75
  23. 600
  24. 9 : 7
  25. 7 : 9
  26. No
  27. 150
  28. 40
  29. 550
  30. 270
  31. No
  32. 200
  33. Yes
  34. 8 : 3
  35. 7 : 9
  36. 1 : 7
  37. 55
  38. 1120
  39. 7 : 2
  40. Yes

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