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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 327 · 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.A train goes 60 km in 2 hours. At the same speed, how many km does it go in 6 hours?
  2. 2.A basket has 12 mangoes and 4 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 2 (b) 3 : 1 (c) 12 : 4 (d) 1 : 3
  3. 3.₹680 is shared between Kavya and Tara in the ratio 8 : 9. How many rupees does Kavya get?
  4. 4.Write the ratio 24 : 15 in its simplest form. (a) 9 : 6 (b) 24 : 15 (c) 8 : 5 (d) 5 : 8
  5. 5.If 6 pens cost ₹252, how many rupees do 4 pens cost?
  6. 6.Write the ratio 20 : 5 in its simplest form. (a) 5 : 2 (b) 1 : 4 (c) 4 : 1 (d) 20 : 5
  7. 7.Write the ratio 15 : 25 in its simplest form. (a) 3 : 5 (b) 15 : 25 (c) 5 : 3 (d) 4 : 6
  8. 8.Are 8, 20, 6 and 17 in proportion? (a) No (b) Yes
  9. 9.Are 4, 16, 3 and 12 in proportion? (a) Yes (b) No
  10. 10.A car goes 80 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  11. 11.If 6 chocolates cost ₹114, how many rupees do 4 chocolates cost?
  12. 12.Are 6, 15, 16 and 43 in proportion? (a) Yes (b) No
  13. 13.Write the ratio 12 : 9 in its simplest form. (a) 5 : 4 (b) 12 : 9 (c) 4 : 3 (d) 3 : 4
  14. 14.5 : 7 = ? : 28
  15. 15.A team has 72 batters and 9 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 1 : 8 (b) 8 : 1 (c) 72 : 9 (d) 9 : 2
  16. 16.A box has 2 red pens and 4 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 4 (b) 2 : 1 (c) 2 : 3 (d) 1 : 2
  17. 17.3 : 7 = ? : 14
  18. 18.4 : 9 = ? : 45
  19. 19.If 6 mangoes cost ₹150, how many rupees do 11 mangoes cost?
  20. 20.₹1870 is shared between Vivaan and Riya in the ratio 4 : 7. How many rupees does Vivaan get?
  21. 21.Are 10, 14, 15 and 21 in proportion? (a) Yes (b) No
  22. 22.₹280 is shared between Isha and Riya in the ratio 3 : 4. How many rupees does Riya get?
  23. 23.A garden has 32 rose plants and 72 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 32 : 72 (b) 9 : 4 (c) 5 : 10 (d) 4 : 9
  24. 24.A team has 48 batters and 30 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 6 (b) 5 : 8 (c) 48 : 30 (d) 8 : 5
  25. 25.₹1170 is shared between Arjun and Pooja in the ratio 2 : 7. How many rupees does Arjun get?
  26. 26.1 : 6 = ? : 48
  27. 27.A garden has 40 rose plants and 8 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 40 : 8 (b) 1 : 5 (c) 5 : 1 (d) 6 : 2
  28. 28.Write the ratio 27 : 63 in its simplest form. (a) 4 : 8 (b) 3 : 7 (c) 7 : 3 (d) 27 : 63
  29. 29.A garden has 16 rose plants and 28 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 8 (b) 4 : 7 (c) 16 : 28 (d) 7 : 4
  30. 30.₹910 is shared between Rahul and Rohan in the ratio 3 : 4. How many rupees does Rahul get?
  31. 31.₹390 is shared between Diya and Dev in the ratio 4 : 9. How many rupees does Dev get?
  32. 32.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  33. 33.1 : 5 = 7 : ?
  34. 34.Are 18, 48, 24 and 65 in proportion? (a) No (b) Yes
  35. 35.If 8 bus tickets cost ₹440, how many rupees do 6 bus tickets cost?
  36. 36.A car goes 160 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  37. 37.A car goes 350 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  38. 38.A library shelf has 15 storybooks and 6 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 3 (b) 2 : 5 (c) 15 : 6 (d) 5 : 2
  39. 39.Write the ratio 25 : 35 in its simplest form. (a) 7 : 5 (b) 5 : 7 (c) 25 : 35 (d) 6 : 8
  40. 40.Write the ratio 16 : 20 in its simplest form. (a) 5 : 6 (b) 5 : 4 (c) 4 : 5 (d) 16 : 20

Answer key

  1. 180
  2. 3 : 1
  3. 320
  4. 8 : 5
  5. 168
  6. 4 : 1
  7. 3 : 5
  8. No
  9. Yes
  10. 40
  11. 76
  12. No
  13. 4 : 3
  14. 20
  15. 8 : 1
  16. 1 : 2
  17. 6
  18. 20
  19. 275
  20. 680
  21. Yes
  22. 160
  23. 4 : 9
  24. 8 : 5
  25. 260
  26. 8
  27. 5 : 1
  28. 3 : 7
  29. 4 : 7
  30. 390
  31. 270
  32. 195
  33. 35
  34. No
  35. 330
  36. 240
  37. 210
  38. 5 : 2
  39. 5 : 7
  40. 4 : 5

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