← 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 181 · 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.If 5 mangoes cost ₹55, how many rupees do 12 mangoes cost?
  2. 2.A library shelf has 4 storybooks and 8 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 8 (b) 2 : 3 (c) 2 : 1 (d) 1 : 2
  3. 3.Are 12, 18, 6 and 9 in proportion? (a) No (b) Yes
  4. 4.A bus goes 220 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  5. 5.Are 15, 27, 10 and 18 in proportion? (a) No (b) Yes
  6. 6.Are 10, 45, 6 and 30 in proportion? (a) No (b) Yes
  7. 7.A team has 24 batters and 9 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 3 : 8 (b) 8 : 3 (c) 9 : 4 (d) 24 : 9
  8. 8.₹1540 is shared between Priya and Isha in the ratio 5 : 6. How many rupees does Isha get?
  9. 9.If 7 ice creams cost ₹245, how many rupees do 4 ice creams cost?
  10. 10.A train goes 225 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  11. 11.A basket has 8 mangoes and 32 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 5 (b) 1 : 4 (c) 4 : 1 (d) 8 : 32
  12. 12.₹1800 is shared between Diya and Vivaan in the ratio 1 : 8. How many rupees does Vivaan get?
  13. 13.A train goes 300 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  14. 14.2 : 3 = 4 : ?
  15. 15.A class has 48 boys and 8 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 2 (b) 1 : 6 (c) 48 : 8 (d) 6 : 1
  16. 16.A scooter goes 175 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  17. 17.4 : 7 = 16 : ?
  18. 18.A basket has 18 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 6 (b) 18 : 15 (c) 6 : 5 (d) 7 : 6
  19. 19.3 : 7 = ? : 14
  20. 20.₹1650 is shared between Manav and Vivaan in the ratio 4 : 7. How many rupees does Manav get?
  21. 21.A library shelf has 32 storybooks and 4 science books. What is the ratio of storybooks to science books in its simplest form? (a) 1 : 8 (b) 9 : 2 (c) 8 : 1 (d) 32 : 4
  22. 22.A box has 20 red pens and 8 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 6 : 3 (b) 5 : 2 (c) 20 : 8 (d) 2 : 5
  23. 23.Are 20, 32, 30 and 50 in proportion? (a) No (b) Yes
  24. 24.A garden has 12 rose plants and 9 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 4 (b) 5 : 4 (c) 12 : 9 (d) 4 : 3
  25. 25.1 : 7 = 9 : ?
  26. 26.If 2 pens cost ₹30, how many rupees do 11 pens cost?
  27. 27.Write the ratio 14 : 12 in its simplest form. (a) 7 : 6 (b) 14 : 12 (c) 8 : 7 (d) 6 : 7
  28. 28.₹1320 is shared between Kabir and Gurpreet in the ratio 3 : 8. How many rupees does Gurpreet get?
  29. 29.7 : 9 = ? : 18
  30. 30.A scooter goes 260 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  31. 31.Are 10, 35, 14 and 51 in proportion? (a) Yes (b) No
  32. 32.₹880 is shared between Karan and Lakshmi in the ratio 5 : 6. How many rupees does Lakshmi get?
  33. 33.Write the ratio 4 : 14 in its simplest form. (a) 7 : 2 (b) 2 : 7 (c) 3 : 8 (d) 4 : 14
  34. 34.A bus goes 110 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  35. 35.7 : 9 = 42 : ?
  36. 36.Write the ratio 42 : 35 in its simplest form. (a) 5 : 6 (b) 42 : 35 (c) 7 : 6 (d) 6 : 5
  37. 37.A basket has 2 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 1 (b) 2 : 3 (c) 1 : 2 (d) 2 : 4
  38. 38.Write the ratio 3 : 6 in its simplest form. (a) 3 : 6 (b) 2 : 1 (c) 1 : 2 (d) 2 : 3
  39. 39.A basket has 28 mangoes and 24 apples. What is the ratio of mangoes to apples in its simplest form? (a) 8 : 7 (b) 28 : 24 (c) 7 : 6 (d) 6 : 7
  40. 40.A scooter goes 200 km in 4 hours. At the same speed, how many km does it go in 8 hours?

Answer key

  1. 132
  2. 1 : 2
  3. Yes
  4. 165
  5. Yes
  6. No
  7. 8 : 3
  8. 840
  9. 140
  10. 600
  11. 1 : 4
  12. 1600
  13. 450
  14. 6
  15. 6 : 1
  16. 35
  17. 28
  18. 6 : 5
  19. 6
  20. 600
  21. 8 : 1
  22. 5 : 2
  23. No
  24. 4 : 3
  25. 63
  26. 165
  27. 7 : 6
  28. 960
  29. 14
  30. 390
  31. No
  32. 480
  33. 2 : 7
  34. 385
  35. 54
  36. 6 : 5
  37. 1 : 2
  38. 1 : 2
  39. 7 : 6
  40. 400

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