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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 287 · 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 scooter goes 180 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  2. 2.A car goes 175 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  3. 3.A class has 20 boys and 36 girls. What is the ratio of boys to girls in its simplest form? (a) 20 : 36 (b) 5 : 9 (c) 6 : 10 (d) 9 : 5
  4. 4.Are 15, 24, 20 and 32 in proportion? (a) Yes (b) No
  5. 5.If 3 pens cost ₹87, how many rupees do 9 pens cost?
  6. 6.Write the ratio 6 : 9 in its simplest form. (a) 3 : 2 (b) 3 : 4 (c) 6 : 9 (d) 2 : 3
  7. 7.Are 20, 28, 15 and 22 in proportion? (a) Yes (b) No
  8. 8.7 : 8 = ? : 72
  9. 9.Are 4, 20, 6 and 32 in proportion? (a) No (b) Yes
  10. 10.If 3 notebooks cost ₹93, how many rupees do 7 notebooks cost?
  11. 11.Write the ratio 4 : 6 in its simplest form. (a) 4 : 6 (b) 3 : 2 (c) 2 : 3 (d) 3 : 4
  12. 12.If 6 notebooks cost ₹294, how many rupees do 7 notebooks cost?
  13. 13.1 : 5 = 4 : ?
  14. 14.A garden has 6 rose plants and 8 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 4 : 5 (b) 4 : 3 (c) 3 : 4 (d) 6 : 8
  15. 15.Write the ratio 20 : 5 in its simplest form. (a) 20 : 5 (b) 5 : 2 (c) 4 : 1 (d) 1 : 4
  16. 16.Write the ratio 24 : 28 in its simplest form. (a) 7 : 6 (b) 7 : 8 (c) 24 : 28 (d) 6 : 7
  17. 17.A box has 5 red pens and 25 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 1 (b) 1 : 5 (c) 5 : 25 (d) 2 : 6
  18. 18.Write the ratio 21 : 3 in its simplest form. (a) 8 : 2 (b) 1 : 7 (c) 7 : 1 (d) 21 : 3
  19. 19.A car goes 240 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  20. 20.Write the ratio 6 : 18 in its simplest form. (a) 1 : 3 (b) 2 : 4 (c) 3 : 1 (d) 6 : 18
  21. 21.A class has 45 boys and 10 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 2 (b) 45 : 10 (c) 10 : 3 (d) 2 : 9
  22. 22.A basket has 20 mangoes and 5 apples. What is the ratio of mangoes to apples in its simplest form? (a) 4 : 1 (b) 20 : 5 (c) 1 : 4 (d) 5 : 2
  23. 23.₹720 is shared between Kavya and Meera in the ratio 1 : 5. How many rupees does Meera get?
  24. 24.Are 8, 28, 6 and 21 in proportion? (a) Yes (b) No
  25. 25.A bus goes 450 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  26. 26.A train goes 210 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  27. 27.Write the ratio 15 : 24 in its simplest form. (a) 6 : 9 (b) 5 : 8 (c) 15 : 24 (d) 8 : 5
  28. 28.1 : 4 = ? : 40
  29. 29.If 4 notebooks cost ₹188, how many rupees do 6 notebooks cost?
  30. 30.₹1430 is shared between Pooja and Karan in the ratio 2 : 9. How many rupees does Karan get?
  31. 31.If 7 bus tickets cost ₹385, how many rupees do 5 bus tickets cost?
  32. 32.Are 4, 6, 16 and 27 in proportion? (a) No (b) Yes
  33. 33.A scooter goes 120 km in 2 hours. At the same speed, how many km does it go in 8 hours?
  34. 34.₹560 is shared between Tara and Diya in the ratio 3 : 4. How many rupees does Diya get?
  35. 35.1 : 3 = ? : 6
  36. 36.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 4 hours?
  37. 37.Write the ratio 42 : 49 in its simplest form. (a) 6 : 7 (b) 7 : 8 (c) 7 : 6 (d) 42 : 49
  38. 38.Write the ratio 28 : 49 in its simplest form. (a) 4 : 7 (b) 7 : 4 (c) 28 : 49 (d) 5 : 8
  39. 39.₹540 is shared between Diya and Tara in the ratio 4 : 5. How many rupees does Tara get?
  40. 40.A library shelf has 36 storybooks and 16 science books. What is the ratio of storybooks to science books in its simplest form? (a) 36 : 16 (b) 9 : 4 (c) 4 : 9 (d) 10 : 5

Answer key

  1. 60
  2. 140
  3. 5 : 9
  4. Yes
  5. 261
  6. 2 : 3
  7. No
  8. 63
  9. No
  10. 217
  11. 2 : 3
  12. 343
  13. 20
  14. 3 : 4
  15. 4 : 1
  16. 6 : 7
  17. 1 : 5
  18. 7 : 1
  19. 320
  20. 1 : 3
  21. 9 : 2
  22. 4 : 1
  23. 600
  24. Yes
  25. 150
  26. 35
  27. 5 : 8
  28. 10
  29. 282
  30. 1170
  31. 275
  32. No
  33. 480
  34. 320
  35. 2
  36. 120
  37. 6 : 7
  38. 4 : 7
  39. 300
  40. 9 : 4

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