← 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 319 · 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 car goes 150 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  2. 2.2 : 7 = ? : 21
  3. 3.₹700 is shared between Tara and Farhan in the ratio 1 : 6. How many rupees does Farhan get?
  4. 4.A car goes 180 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  5. 5.1 : 5 = ? : 30
  6. 6.₹330 is shared between Rahul and Dev in the ratio 2 : 9. How many rupees does Dev get?
  7. 7.8 : 9 = ? : 36
  8. 8.If 7 pens cost ₹126, how many rupees do 12 pens cost?
  9. 9.3 : 5 = ? : 45
  10. 10.A basket has 28 mangoes and 63 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 4 (b) 28 : 63 (c) 4 : 9 (d) 5 : 10
  11. 11.₹490 is shared between Gurpreet and Rahul in the ratio 2 : 5. How many rupees does Gurpreet get?
  12. 12.Write the ratio 7 : 21 in its simplest form. (a) 2 : 4 (b) 3 : 1 (c) 1 : 3 (d) 7 : 21
  13. 13.Write the ratio 45 : 18 in its simplest form. (a) 45 : 18 (b) 5 : 2 (c) 6 : 3 (d) 2 : 5
  14. 14.Write the ratio 32 : 36 in its simplest form. (a) 9 : 8 (b) 9 : 10 (c) 32 : 36 (d) 8 : 9
  15. 15.1 : 7 = ? : 42
  16. 16.3 : 8 = 15 : ?
  17. 17.1 : 5 = 3 : ?
  18. 18.A car goes 180 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  19. 19.Are 42, 54, 35 and 45 in proportion? (a) No (b) Yes
  20. 20.2 : 5 = ? : 30
  21. 21.Write the ratio 6 : 2 in its simplest form. (a) 6 : 2 (b) 1 : 3 (c) 4 : 2 (d) 3 : 1
  22. 22.7 : 8 = 49 : ?
  23. 23.6 : 7 = 54 : ?
  24. 24.Write the ratio 24 : 16 in its simplest form. (a) 24 : 16 (b) 2 : 3 (c) 4 : 3 (d) 3 : 2
  25. 25.3 : 4 = ? : 36
  26. 26.1 : 9 = 7 : ?
  27. 27.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  28. 28.A garden has 6 rose plants and 54 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 9 : 1 (b) 6 : 54 (c) 2 : 10 (d) 1 : 9
  29. 29.Write the ratio 16 : 72 in its simplest form. (a) 16 : 72 (b) 9 : 2 (c) 2 : 9 (d) 3 : 10
  30. 30.If 5 mangoes cost ₹285, how many rupees do 2 mangoes cost?
  31. 31.Write the ratio 4 : 32 in its simplest form. (a) 4 : 32 (b) 1 : 8 (c) 8 : 1 (d) 2 : 9
  32. 32.1 : 5 = ? : 10
  33. 33.A car goes 420 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  34. 34.A box has 10 red pens and 14 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 7 : 5 (b) 10 : 14 (c) 6 : 8 (d) 5 : 7
  35. 35.If 3 pens cost ₹60, how many rupees do 9 pens cost?
  36. 36.3 : 5 = ? : 25
  37. 37.A class has 30 boys and 18 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 5 (b) 6 : 4 (c) 30 : 18 (d) 5 : 3
  38. 38.If 5 notebooks cost ₹50, how many rupees do 9 notebooks cost?
  39. 39.1 : 9 = 4 : ?
  40. 40.Write the ratio 9 : 72 in its simplest form. (a) 8 : 1 (b) 9 : 72 (c) 2 : 9 (d) 1 : 8

Answer key

  1. 60
  2. 6
  3. 600
  4. 480
  5. 6
  6. 270
  7. 32
  8. 216
  9. 27
  10. 4 : 9
  11. 140
  12. 1 : 3
  13. 5 : 2
  14. 8 : 9
  15. 6
  16. 40
  17. 15
  18. 90
  19. Yes
  20. 12
  21. 3 : 1
  22. 56
  23. 63
  24. 3 : 2
  25. 27
  26. 63
  27. 600
  28. 1 : 9
  29. 2 : 9
  30. 114
  31. 1 : 8
  32. 2
  33. 560
  34. 5 : 7
  35. 180
  36. 15
  37. 5 : 3
  38. 90
  39. 36
  40. 1 : 8

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