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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 147 · 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 bus goes 195 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  2. 2.A team has 56 batters and 49 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 7 : 8 (b) 9 : 8 (c) 56 : 49 (d) 8 : 7
  3. 3.A class has 20 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 5 (b) 6 : 2 (c) 20 : 4 (d) 5 : 1
  4. 4.Write the ratio 12 : 10 in its simplest form. (a) 12 : 10 (b) 5 : 6 (c) 7 : 6 (d) 6 : 5
  5. 5.A team has 6 batters and 36 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 6 : 1 (b) 2 : 7 (c) 6 : 36 (d) 1 : 6
  6. 6.Write the ratio 12 : 16 in its simplest form. (a) 3 : 4 (b) 12 : 16 (c) 4 : 3 (d) 4 : 5
  7. 7.Are 35, 40, 14 and 16 in proportion? (a) No (b) Yes
  8. 8.If 6 ice creams cost ₹270, how many rupees do 4 ice creams cost?
  9. 9.₹750 is shared between Isha and Rohan in the ratio 1 : 4. How many rupees does Rohan get?
  10. 10.Write the ratio 8 : 16 in its simplest form. (a) 8 : 16 (b) 2 : 1 (c) 2 : 3 (d) 1 : 2
  11. 11.A garden has 6 rose plants and 2 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 3 (b) 6 : 2 (c) 3 : 1 (d) 4 : 2
  12. 12.Write the ratio 30 : 35 in its simplest form. (a) 6 : 7 (b) 7 : 8 (c) 7 : 6 (d) 30 : 35
  13. 13.A garden has 2 rose plants and 10 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 5 : 1 (b) 2 : 10 (c) 2 : 6 (d) 1 : 5
  14. 14.Write the ratio 8 : 48 in its simplest form. (a) 1 : 6 (b) 8 : 48 (c) 2 : 7 (d) 6 : 1
  15. 15.2 : 9 = 8 : ?
  16. 16.Are 6, 21, 14 and 50 in proportion? (a) Yes (b) No
  17. 17.5 : 8 = 45 : ?
  18. 18.If 3 ice creams cost ₹84, how many rupees do 8 ice creams cost?
  19. 19.Write the ratio 42 : 30 in its simplest form. (a) 7 : 5 (b) 42 : 30 (c) 8 : 6 (d) 5 : 7
  20. 20.2 : 7 = 18 : ?
  21. 21.Write the ratio 14 : 7 in its simplest form. (a) 14 : 7 (b) 3 : 2 (c) 1 : 2 (d) 2 : 1
  22. 22.If 3 notebooks cost ₹150, how many rupees do 10 notebooks cost?
  23. 23.A library shelf has 35 storybooks and 42 science books. What is the ratio of storybooks to science books in its simplest form? (a) 35 : 42 (b) 5 : 6 (c) 6 : 7 (d) 6 : 5
  24. 24.If 2 bus tickets cost ₹48, how many rupees do 8 bus tickets cost?
  25. 25.If 6 notebooks cost ₹348, how many rupees do 8 notebooks cost?
  26. 26.Write the ratio 42 : 18 in its simplest form. (a) 7 : 3 (b) 42 : 18 (c) 3 : 7 (d) 8 : 4
  27. 27.A scooter goes 400 km in 5 hours. At the same speed, how many km does it go in 7 hours?
  28. 28.₹600 is shared between Isha and Manav in the ratio 7 : 8. How many rupees does Isha get?
  29. 29.If 7 ice creams cost ₹399, how many rupees do 8 ice creams cost?
  30. 30.₹1360 is shared between Arjun and Zoya in the ratio 3 : 5. How many rupees does Zoya get?
  31. 31.A car goes 260 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  32. 32.Write the ratio 42 : 35 in its simplest form. (a) 7 : 6 (b) 42 : 35 (c) 5 : 6 (d) 6 : 5
  33. 33.Are 8, 10, 24 and 30 in proportion? (a) No (b) Yes
  34. 34.₹1120 is shared between Isha and Riya in the ratio 3 : 5. How many rupees does Isha get?
  35. 35.₹440 is shared between Zoya and Aarav in the ratio 3 : 8. How many rupees does Aarav get?
  36. 36.If 9 mangoes cost ₹342, how many rupees do 6 mangoes cost?
  37. 37.A bus goes 165 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  38. 38.Write the ratio 4 : 6 in its simplest form. (a) 3 : 2 (b) 3 : 4 (c) 4 : 6 (d) 2 : 3
  39. 39.₹2200 is shared between Rahul and Kabir in the ratio 5 : 6. How many rupees does Rahul get?
  40. 40.Are 8, 28, 12 and 44 in proportion? (a) No (b) Yes

Answer key

  1. 130
  2. 8 : 7
  3. 5 : 1
  4. 6 : 5
  5. 1 : 6
  6. 3 : 4
  7. Yes
  8. 180
  9. 600
  10. 1 : 2
  11. 3 : 1
  12. 6 : 7
  13. 1 : 5
  14. 1 : 6
  15. 36
  16. No
  17. 72
  18. 224
  19. 7 : 5
  20. 63
  21. 2 : 1
  22. 500
  23. 5 : 6
  24. 192
  25. 464
  26. 7 : 3
  27. 560
  28. 280
  29. 456
  30. 850
  31. 520
  32. 6 : 5
  33. Yes
  34. 420
  35. 320
  36. 228
  37. 330
  38. 2 : 3
  39. 1000
  40. No

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