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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 413 · 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.Write the ratio 9 : 72 in its simplest form. (a) 2 : 9 (b) 1 : 8 (c) 8 : 1 (d) 9 : 72
  2. 2.₹420 is shared between Karan and Aarav in the ratio 1 : 6. How many rupees does Aarav get?
  3. 3.A class has 14 boys and 6 girls. What is the ratio of boys to girls in its simplest form? (a) 14 : 6 (b) 8 : 4 (c) 3 : 7 (d) 7 : 3
  4. 4.A train goes 110 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  5. 5.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  6. 6.7 : 9 = 70 : ?
  7. 7.Write the ratio 4 : 16 in its simplest form. (a) 4 : 16 (b) 2 : 5 (c) 1 : 4 (d) 4 : 1
  8. 8.If 7 pens cost ₹357, how many rupees do 8 pens cost?
  9. 9.A library shelf has 15 storybooks and 24 science books. What is the ratio of storybooks to science books in its simplest form? (a) 6 : 9 (b) 8 : 5 (c) 5 : 8 (d) 15 : 24
  10. 10.Write the ratio 27 : 24 in its simplest form. (a) 10 : 9 (b) 9 : 8 (c) 27 : 24 (d) 8 : 9
  11. 11.A car goes 280 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  12. 12.A scooter goes 120 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  13. 13.A box has 45 red pens and 10 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 2 : 9 (b) 10 : 3 (c) 9 : 2 (d) 45 : 10
  14. 14.A scooter goes 120 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  15. 15.A train goes 210 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  16. 16.A garden has 21 rose plants and 14 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 3 (b) 3 : 2 (c) 21 : 14 (d) 4 : 3
  17. 17.Write the ratio 18 : 48 in its simplest form. (a) 18 : 48 (b) 3 : 8 (c) 4 : 9 (d) 8 : 3
  18. 18.₹250 is shared between Rohan and Sneha in the ratio 2 : 3. How many rupees does Rohan get?
  19. 19.If 8 chocolates cost ₹120, how many rupees do 3 chocolates cost?
  20. 20.Are 4, 10, 6 and 15 in proportion? (a) No (b) Yes
  21. 21.7 : 8 = 21 : ?
  22. 22.A train goes 280 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  23. 23.4 : 5 = 28 : ?
  24. 24.Write the ratio 14 : 2 in its simplest form. (a) 1 : 7 (b) 14 : 2 (c) 8 : 2 (d) 7 : 1
  25. 25.A car goes 240 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  26. 26.If 3 notebooks cost ₹135, how many rupees do 10 notebooks cost?
  27. 27.A basket has 2 mangoes and 6 apples. What is the ratio of mangoes to apples in its simplest form? (a) 2 : 6 (b) 1 : 3 (c) 2 : 4 (d) 3 : 1
  28. 28.A bus goes 180 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  29. 29.A scooter goes 70 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  30. 30.Write the ratio 42 : 7 in its simplest form. (a) 42 : 7 (b) 6 : 1 (c) 1 : 6 (d) 7 : 2
  31. 31.₹390 is shared between Rahul and Aarav in the ratio 1 : 2. How many rupees does Aarav get?
  32. 32.Write the ratio 12 : 54 in its simplest form. (a) 12 : 54 (b) 3 : 10 (c) 2 : 9 (d) 9 : 2
  33. 33.A car goes 80 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  34. 34.Write the ratio 12 : 14 in its simplest form. (a) 12 : 14 (b) 7 : 6 (c) 6 : 7 (d) 7 : 8
  35. 35.A basket has 27 mangoes and 15 apples. What is the ratio of mangoes to apples in its simplest form? (a) 5 : 9 (b) 27 : 15 (c) 9 : 5 (d) 10 : 6
  36. 36.A class has 21 boys and 7 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 3 (b) 3 : 1 (c) 4 : 2 (d) 21 : 7
  37. 37.Write the ratio 3 : 21 in its simplest form. (a) 7 : 1 (b) 1 : 7 (c) 3 : 21 (d) 2 : 8
  38. 38.If 8 pens cost ₹312, how many rupees do 10 pens cost?
  39. 39.₹1320 is shared between Aarav and Pooja in the ratio 2 : 9. How many rupees does Aarav get?
  40. 40.A bus goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?

Answer key

  1. 1 : 8
  2. 360
  3. 7 : 3
  4. 55
  5. 225
  6. 90
  7. 1 : 4
  8. 408
  9. 5 : 8
  10. 9 : 8
  11. 210
  12. 180
  13. 9 : 2
  14. 200
  15. 140
  16. 3 : 2
  17. 3 : 8
  18. 100
  19. 45
  20. Yes
  21. 24
  22. 560
  23. 35
  24. 7 : 1
  25. 640
  26. 450
  27. 1 : 3
  28. 315
  29. 140
  30. 6 : 1
  31. 260
  32. 2 : 9
  33. 280
  34. 6 : 7
  35. 9 : 5
  36. 3 : 1
  37. 1 : 7
  38. 390
  39. 240
  40. 35

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