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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 7 · 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.If 8 bus tickets cost ₹224, how many rupees do 9 bus tickets cost?
  2. 2.2 : 3 = 12 : ?
  3. 3.A library shelf has 12 storybooks and 8 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 3 (b) 4 : 3 (c) 12 : 8 (d) 3 : 2
  4. 4.Write the ratio 30 : 42 in its simplest form. (a) 7 : 5 (b) 6 : 8 (c) 5 : 7 (d) 30 : 42
  5. 5.Write the ratio 7 : 35 in its simplest form. (a) 5 : 1 (b) 2 : 6 (c) 1 : 5 (d) 7 : 35
  6. 6.Write the ratio 12 : 4 in its simplest form. (a) 4 : 2 (b) 12 : 4 (c) 3 : 1 (d) 1 : 3
  7. 7.₹1430 is shared between Joseph and Pooja in the ratio 4 : 9. How many rupees does Pooja get?
  8. 8.7 : 8 = ? : 56
  9. 9.₹160 is shared between Kabir and Rohan in the ratio 7 : 9. How many rupees does Rohan get?
  10. 10.Write the ratio 32 : 12 in its simplest form. (a) 8 : 3 (b) 9 : 4 (c) 3 : 8 (d) 32 : 12
  11. 11.1 : 4 = 10 : ?
  12. 12.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  13. 13.₹1040 is shared between Lakshmi and Aditya in the ratio 1 : 7. How many rupees does Lakshmi get?
  14. 14.A garden has 2 rose plants and 4 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 1 (b) 2 : 4 (c) 2 : 3 (d) 1 : 2
  15. 15.Write the ratio 4 : 36 in its simplest form. (a) 1 : 9 (b) 9 : 1 (c) 4 : 36 (d) 2 : 10
  16. 16.If 6 pens cost ₹216, how many rupees do 9 pens cost?
  17. 17.If 3 notebooks cost ₹30, how many rupees do 6 notebooks cost?
  18. 18.A train goes 220 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  19. 19.If 7 mangoes cost ₹147, how many rupees do 11 mangoes cost?
  20. 20.A train goes 110 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  21. 21.Are 30, 35, 18 and 21 in proportion? (a) No (b) Yes
  22. 22.If 2 pens cost ₹58, how many rupees do 3 pens cost?
  23. 23.A box has 36 red pens and 81 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 4 (b) 4 : 9 (c) 36 : 81 (d) 5 : 10
  24. 24.₹160 is shared between Karan and Diya in the ratio 1 : 3. How many rupees does Karan get?
  25. 25.₹2100 is shared between Saanvi and Priya in the ratio 5 : 9. How many rupees does Saanvi get?
  26. 26.Are 4, 28, 2 and 14 in proportion? (a) Yes (b) No
  27. 27.₹420 is shared between Rohan and Arjun in the ratio 1 : 5. How many rupees does Rohan get?
  28. 28.5 : 8 = 50 : ?
  29. 29.A library shelf has 25 storybooks and 40 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 5 (b) 25 : 40 (c) 5 : 8 (d) 6 : 9
  30. 30.2 : 7 = ? : 14
  31. 31.A bus goes 200 km in 5 hours. At the same speed, how many km does it go in 2 hours?
  32. 32.If 2 ice creams cost ₹42, how many rupees do 8 ice creams cost?
  33. 33.If 2 mangoes cost ₹96, how many rupees do 9 mangoes cost?
  34. 34.₹2470 is shared between Rahul and Saanvi in the ratio 6 : 7. How many rupees does Saanvi get?
  35. 35.If 9 mangoes cost ₹405, how many rupees do 5 mangoes cost?
  36. 36.Are 8, 10, 24 and 30 in proportion? (a) No (b) Yes
  37. 37.₹160 is shared between Pooja and Riya in the ratio 3 : 5. How many rupees does Pooja get?
  38. 38.A box has 56 red pens and 64 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 7 (b) 56 : 64 (c) 8 : 9 (d) 7 : 8
  39. 39.Are 12, 18, 14 and 22 in proportion? (a) Yes (b) No
  40. 40.Write the ratio 63 : 7 in its simplest form. (a) 1 : 9 (b) 10 : 2 (c) 9 : 1 (d) 63 : 7

Answer key

  1. 252
  2. 18
  3. 3 : 2
  4. 5 : 7
  5. 1 : 5
  6. 3 : 1
  7. 990
  8. 49
  9. 90
  10. 8 : 3
  11. 40
  12. 150
  13. 130
  14. 1 : 2
  15. 1 : 9
  16. 324
  17. 60
  18. 55
  19. 231
  20. 55
  21. Yes
  22. 87
  23. 4 : 9
  24. 40
  25. 750
  26. Yes
  27. 70
  28. 80
  29. 5 : 8
  30. 4
  31. 80
  32. 168
  33. 432
  34. 1330
  35. 225
  36. Yes
  37. 60
  38. 7 : 8
  39. No
  40. 9 : 1

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