← 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 260 · 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 library shelf has 3 storybooks and 27 science books. What is the ratio of storybooks to science books in its simplest form? (a) 9 : 1 (b) 3 : 27 (c) 2 : 10 (d) 1 : 9
  2. 2.4 : 7 = ? : 21
  3. 3.₹420 is shared between Isha and Priya in the ratio 1 : 2. How many rupees does Isha get?
  4. 4.If 2 bus tickets cost ₹16, how many rupees do 7 bus tickets cost?
  5. 5.A bus goes 330 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  6. 6.Write the ratio 15 : 24 in its simplest form. (a) 5 : 8 (b) 8 : 5 (c) 6 : 9 (d) 15 : 24
  7. 7.Are 6, 10, 24 and 42 in proportion? (a) Yes (b) No
  8. 8.Are 3, 18, 7 and 42 in proportion? (a) Yes (b) No
  9. 9.₹350 is shared between Vivaan and Tara in the ratio 2 : 3. How many rupees does Tara get?
  10. 10.A team has 6 batters and 54 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 54 (b) 9 : 1 (c) 2 : 10 (d) 1 : 9
  11. 11.If 3 bus tickets cost ₹138, how many rupees do 9 bus tickets cost?
  12. 12.Are 8, 14, 20 and 35 in proportion? (a) No (b) Yes
  13. 13.Write the ratio 14 : 10 in its simplest form. (a) 7 : 5 (b) 8 : 6 (c) 5 : 7 (d) 14 : 10
  14. 14.2 : 5 = 16 : ?
  15. 15.A garden has 63 rose plants and 28 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 9 (b) 63 : 28 (c) 9 : 4 (d) 10 : 5
  16. 16.7 : 9 = 35 : ?
  17. 17.A library shelf has 35 storybooks and 40 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 9 (b) 7 : 8 (c) 8 : 7 (d) 35 : 40
  18. 18.Are 9, 21, 6 and 14 in proportion? (a) No (b) Yes
  19. 19.Are 8, 10, 28 and 35 in proportion? (a) Yes (b) No
  20. 20.A scooter goes 390 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  21. 21.A basket has 21 mangoes and 14 apples. What is the ratio of mangoes to apples in its simplest form? (a) 21 : 14 (b) 3 : 2 (c) 2 : 3 (d) 4 : 3
  22. 22.A scooter goes 260 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  23. 23.If 8 pens cost ₹256, how many rupees do 2 pens cost?
  24. 24.Write the ratio 36 : 81 in its simplest form. (a) 4 : 9 (b) 36 : 81 (c) 9 : 4 (d) 5 : 10
  25. 25.Write the ratio 36 : 6 in its simplest form. (a) 36 : 6 (b) 6 : 1 (c) 7 : 2 (d) 1 : 6
  26. 26.Write the ratio 28 : 20 in its simplest form. (a) 28 : 20 (b) 7 : 5 (c) 8 : 6 (d) 5 : 7
  27. 27.Write the ratio 63 : 56 in its simplest form. (a) 8 : 9 (b) 63 : 56 (c) 9 : 8 (d) 10 : 9
  28. 28.If 9 ice creams cost ₹423, how many rupees do 2 ice creams cost?
  29. 29.₹990 is shared between Nisha and Ishaan in the ratio 4 : 5. How many rupees does Nisha get?
  30. 30.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  31. 31.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  32. 32.7 : 9 = ? : 90
  33. 33.Are 15, 25, 24 and 43 in proportion? (a) Yes (b) No
  34. 34.Are 5, 40, 7 and 56 in proportion? (a) No (b) Yes
  35. 35.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 7 hours?
  36. 36.A box has 27 red pens and 12 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 4 (b) 10 : 5 (c) 4 : 9 (d) 27 : 12
  37. 37.3 : 4 = 24 : ?
  38. 38.A library shelf has 4 storybooks and 32 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 9 (b) 1 : 8 (c) 4 : 32 (d) 8 : 1
  39. 39.Are 12, 30, 4 and 12 in proportion? (a) No (b) Yes
  40. 40.₹480 is shared between Saanvi and Lakshmi in the ratio 1 : 7. How many rupees does Lakshmi get?

Answer key

  1. 1 : 9
  2. 12
  3. 140
  4. 56
  5. 55
  6. 5 : 8
  7. No
  8. Yes
  9. 210
  10. 1 : 9
  11. 414
  12. Yes
  13. 7 : 5
  14. 40
  15. 9 : 4
  16. 45
  17. 7 : 8
  18. Yes
  19. Yes
  20. 65
  21. 3 : 2
  22. 195
  23. 64
  24. 4 : 9
  25. 6 : 1
  26. 7 : 5
  27. 9 : 8
  28. 94
  29. 440
  30. 245
  31. 75
  32. 70
  33. No
  34. Yes
  35. 455
  36. 9 : 4
  37. 32
  38. 1 : 8
  39. No
  40. 420

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