← 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 56 · 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.Write the ratio 6 : 3 in its simplest form. (a) 1 : 2 (b) 3 : 2 (c) 2 : 1 (d) 6 : 3
  2. 2.Are 18, 24, 6 and 11 in proportion? (a) Yes (b) No
  3. 3.If 7 bus tickets cost ₹203, how many rupees do 9 bus tickets cost?
  4. 4.2 : 5 = 6 : ?
  5. 5.1 : 7 = ? : 28
  6. 6.Are 18, 48, 12 and 33 in proportion? (a) Yes (b) No
  7. 7.Write the ratio 21 : 14 in its simplest form. (a) 3 : 2 (b) 4 : 3 (c) 21 : 14 (d) 2 : 3
  8. 8.Write the ratio 2 : 6 in its simplest form. (a) 2 : 4 (b) 2 : 6 (c) 1 : 3 (d) 3 : 1
  9. 9.Are 24, 27, 16 and 21 in proportion? (a) Yes (b) No
  10. 10.₹900 is shared between Ananya and Rohan in the ratio 3 : 7. How many rupees does Rohan get?
  11. 11.A car goes 225 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  12. 12.1 : 8 = 3 : ?
  13. 13.₹660 is shared between Joseph and Isha in the ratio 3 : 8. How many rupees does Joseph get?
  14. 14.A box has 6 red pens and 14 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 7 (b) 4 : 8 (c) 6 : 14 (d) 7 : 3
  15. 15.A box has 40 red pens and 5 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 1 (b) 9 : 2 (c) 1 : 8 (d) 40 : 5
  16. 16.A bus goes 150 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  17. 17.If 2 mangoes cost ₹56, how many rupees do 10 mangoes cost?
  18. 18.₹3060 is shared between Priya and Riya in the ratio 8 : 9. How many rupees does Priya get?
  19. 19.A class has 21 boys and 12 girls. What is the ratio of boys to girls in its simplest form? (a) 21 : 12 (b) 4 : 7 (c) 7 : 4 (d) 8 : 5
  20. 20.Write the ratio 10 : 8 in its simplest form. (a) 10 : 8 (b) 6 : 5 (c) 4 : 5 (d) 5 : 4
  21. 21.A box has 6 red pens and 9 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 2 (b) 2 : 3 (c) 3 : 4 (d) 6 : 9
  22. 22.A box has 36 red pens and 20 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 9 (b) 36 : 20 (c) 10 : 6 (d) 9 : 5
  23. 23.4 : 9 = 20 : ?
  24. 24.₹110 is shared between Diya and Dev in the ratio 3 : 8. How many rupees does Dev get?
  25. 25.2 : 5 = 4 : ?
  26. 26.A garden has 15 rose plants and 21 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 5 (b) 15 : 21 (c) 5 : 7 (d) 6 : 8
  27. 27.₹1710 is shared between Tara and Karan in the ratio 2 : 7. How many rupees does Tara get?
  28. 28.Are 10, 18, 30 and 54 in proportion? (a) No (b) Yes
  29. 29.A train goes 165 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  30. 30.Write the ratio 24 : 56 in its simplest form. (a) 24 : 56 (b) 3 : 7 (c) 7 : 3 (d) 4 : 8
  31. 31.Are 8, 12, 4 and 8 in proportion? (a) Yes (b) No
  32. 32.A bus goes 150 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  33. 33.₹1530 is shared between Tara and Arjun in the ratio 4 : 5. How many rupees does Tara get?
  34. 34.If 2 bus tickets cost ₹24, how many rupees do 10 bus tickets cost?
  35. 35.A bus goes 130 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  36. 36.A basket has 2 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 8 (b) 7 : 1 (c) 1 : 7 (d) 2 : 14
  37. 37.Write the ratio 9 : 3 in its simplest form. (a) 1 : 3 (b) 3 : 1 (c) 4 : 2 (d) 9 : 3
  38. 38.If 2 ice creams cost ₹88, how many rupees do 7 ice creams cost?
  39. 39.Write the ratio 20 : 32 in its simplest form. (a) 5 : 8 (b) 20 : 32 (c) 8 : 5 (d) 6 : 9
  40. 40.Write the ratio 15 : 25 in its simplest form. (a) 5 : 3 (b) 15 : 25 (c) 4 : 6 (d) 3 : 5

Answer key

  1. 2 : 1
  2. No
  3. 261
  4. 15
  5. 4
  6. No
  7. 3 : 2
  8. 1 : 3
  9. No
  10. 630
  11. 450
  12. 24
  13. 180
  14. 3 : 7
  15. 8 : 1
  16. 30
  17. 280
  18. 1440
  19. 7 : 4
  20. 5 : 4
  21. 2 : 3
  22. 9 : 5
  23. 45
  24. 80
  25. 10
  26. 5 : 7
  27. 380
  28. Yes
  29. 440
  30. 3 : 7
  31. No
  32. 200
  33. 680
  34. 120
  35. 260
  36. 1 : 7
  37. 3 : 1
  38. 308
  39. 5 : 8
  40. 3 : 5

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