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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 63 · 40 sums
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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. 1.1 : 8 = 10 : ?
  2. 2.A garden has 12 rose plants and 32 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 8 (b) 4 : 9 (c) 12 : 32 (d) 8 : 3
  3. 3.A basket has 14 mangoes and 6 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 7 (b) 14 : 6 (c) 7 : 3 (d) 8 : 4
  4. 4.4 : 7 = 40 : ?
  5. 5.A train goes 450 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  6. 6.Are 16, 28, 8 and 15 in proportion? (a) No (b) Yes
  7. 7.A bus goes 120 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  8. 8.A box has 7 red pens and 21 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 3 : 1 (b) 2 : 4 (c) 7 : 21 (d) 1 : 3
  9. 9.₹240 is shared between Riya and Joseph in the ratio 3 : 5. How many rupees does Riya get?
  10. 10.5 : 8 = ? : 64
  11. 11.Write the ratio 6 : 42 in its simplest form. (a) 1 : 7 (b) 6 : 42 (c) 7 : 1 (d) 2 : 8
  12. 12.Are 30, 35, 36 and 43 in proportion? (a) Yes (b) No
  13. 13.Write the ratio 15 : 18 in its simplest form. (a) 6 : 7 (b) 6 : 5 (c) 5 : 6 (d) 15 : 18
  14. 14.A train goes 270 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  15. 15.Write the ratio 9 : 12 in its simplest form. (a) 4 : 3 (b) 3 : 4 (c) 4 : 5 (d) 9 : 12
  16. 16.Are 6, 42, 8 and 56 in proportion? (a) No (b) Yes
  17. 17.₹1800 is shared between Gurpreet and Farhan in the ratio 3 : 7. How many rupees does Farhan get?
  18. 18.A basket has 18 mangoes and 16 apples. What is the ratio of mangoes to apples in its simplest form? (a) 18 : 16 (b) 8 : 9 (c) 9 : 8 (d) 10 : 9
  19. 19.1 : 3 = ? : 12
  20. 20.A team has 28 batters and 7 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 28 : 7 (b) 5 : 2 (c) 1 : 4 (d) 4 : 1
  21. 21.8 : 9 = ? : 18
  22. 22.A train goes 270 km in 6 hours. At the same speed, how many km does it go in 5 hours?
  23. 23.1 : 4 = ? : 12
  24. 24.A scooter goes 300 km in 6 hours. At the same speed, how many km does it go in 3 hours?
  25. 25.A basket has 10 mangoes and 25 apples. What is the ratio of mangoes to apples in its simplest form? (a) 3 : 6 (b) 10 : 25 (c) 2 : 5 (d) 5 : 2
  26. 26.Write the ratio 27 : 3 in its simplest form. (a) 1 : 9 (b) 10 : 2 (c) 27 : 3 (d) 9 : 1
  27. 27.If 8 pens cost ₹472, how many rupees do 3 pens cost?
  28. 28.₹720 is shared between Gurpreet and Ananya in the ratio 2 : 7. How many rupees does Ananya get?
  29. 29.2 : 5 = ? : 20
  30. 30.Write the ratio 18 : 8 in its simplest form. (a) 10 : 5 (b) 4 : 9 (c) 18 : 8 (d) 9 : 4
  31. 31.Are 30, 42, 20 and 29 in proportion? (a) Yes (b) No
  32. 32.A box has 56 red pens and 63 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 8 (b) 8 : 9 (c) 56 : 63 (d) 9 : 10
  33. 33.₹1430 is shared between Ananya and Kavya in the ratio 6 : 7. How many rupees does Kavya get?
  34. 34.₹160 is shared between Karan and Arjun in the ratio 1 : 3. How many rupees does Karan get?
  35. 35.A library shelf has 25 storybooks and 15 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 5 (b) 5 : 3 (c) 25 : 15 (d) 6 : 4
  36. 36.A library shelf has 16 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 3 : 8 (b) 16 : 6 (c) 9 : 4 (d) 8 : 3
  37. 37.A bus goes 220 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  38. 38.A bus goes 210 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  39. 39.A library shelf has 16 storybooks and 56 science books. What is the ratio of storybooks to science books in its simplest form? (a) 16 : 56 (b) 3 : 8 (c) 7 : 2 (d) 2 : 7
  40. 40.₹1000 is shared between Kabir and Aarav in the ratio 3 : 7. How many rupees does Kabir get?

Answer key

  1. 80
  2. 3 : 8
  3. 7 : 3
  4. 70
  5. 375
  6. No
  7. 480
  8. 1 : 3
  9. 90
  10. 40
  11. 1 : 7
  12. No
  13. 5 : 6
  14. 180
  15. 3 : 4
  16. Yes
  17. 1260
  18. 9 : 8
  19. 4
  20. 4 : 1
  21. 16
  22. 225
  23. 3
  24. 150
  25. 2 : 5
  26. 9 : 1
  27. 177
  28. 560
  29. 8
  30. 9 : 4
  31. No
  32. 8 : 9
  33. 770
  34. 40
  35. 5 : 3
  36. 8 : 3
  37. 385
  38. 280
  39. 2 : 7
  40. 300

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