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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 235 · 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.

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  1. 1.1 : 6 = ? : 60
  2. 2.Write the ratio 8 : 6 in its simplest form. (a) 8 : 6 (b) 5 : 4 (c) 3 : 4 (d) 4 : 3
  3. 3.Are 12, 20, 18 and 30 in proportion? (a) Yes (b) No
  4. 4.If 4 pens cost ₹148, how many rupees do 5 pens cost?
  5. 5.A car goes 300 km in 4 hours. At the same speed, how many km does it go in 1 hour?
  6. 6.A box has 10 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 3 (b) 10 : 6 (c) 6 : 4 (d) 3 : 5
  7. 7.A box has 36 red pens and 63 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 7 (b) 36 : 63 (c) 7 : 4 (d) 5 : 8
  8. 8.A car goes 420 km in 6 hours. At the same speed, how many km does it go in 7 hours?
  9. 9.Write the ratio 4 : 32 in its simplest form. (a) 4 : 32 (b) 8 : 1 (c) 1 : 8 (d) 2 : 9
  10. 10.Are 32, 36, 24 and 30 in proportion? (a) No (b) Yes
  11. 11.Write the ratio 10 : 14 in its simplest form. (a) 10 : 14 (b) 5 : 7 (c) 6 : 8 (d) 7 : 5
  12. 12.Write the ratio 3 : 6 in its simplest form. (a) 2 : 3 (b) 3 : 6 (c) 2 : 1 (d) 1 : 2
  13. 13.If 9 notebooks cost ₹513, how many rupees do 8 notebooks cost?
  14. 14.Write the ratio 42 : 18 in its simplest form. (a) 7 : 3 (b) 3 : 7 (c) 42 : 18 (d) 8 : 4
  15. 15.A library shelf has 21 storybooks and 27 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 10 (b) 7 : 9 (c) 9 : 7 (d) 21 : 27
  16. 16.If 2 mangoes cost ₹90, how many rupees do 8 mangoes cost?
  17. 17.A class has 14 boys and 16 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 7 (b) 14 : 16 (c) 8 : 9 (d) 7 : 8
  18. 18.1 : 7 = ? : 70
  19. 19.₹900 is shared between Arjun and Meera in the ratio 1 : 8. How many rupees does Meera get?
  20. 20.A car goes 250 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  21. 21.Write the ratio 15 : 5 in its simplest form. (a) 15 : 5 (b) 4 : 2 (c) 1 : 3 (d) 3 : 1
  22. 22.Are 6, 27, 4 and 21 in proportion? (a) No (b) Yes
  23. 23.Are 8, 10, 32 and 40 in proportion? (a) No (b) Yes
  24. 24.A library shelf has 28 storybooks and 63 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 9 (b) 5 : 10 (c) 9 : 4 (d) 28 : 63
  25. 25.If 4 mangoes cost ₹56, how many rupees do 12 mangoes cost?
  26. 26.4 : 5 = ? : 15
  27. 27.A car goes 200 km in 4 hours. At the same speed, how many km does it go in 8 hours?
  28. 28.Are 32, 36, 56 and 63 in proportion? (a) No (b) Yes
  29. 29.4 : 7 = 28 : ?
  30. 30.Are 12, 21, 36 and 64 in proportion? (a) No (b) Yes
  31. 31.Write the ratio 35 : 5 in its simplest form. (a) 8 : 2 (b) 7 : 1 (c) 1 : 7 (d) 35 : 5
  32. 32.3 : 5 = 9 : ?
  33. 33.₹390 is shared between Dev and Gurpreet in the ratio 1 : 2. How many rupees does Gurpreet get?
  34. 34.A scooter goes 320 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  35. 35.₹1260 is shared between Nisha and Riya in the ratio 1 : 6. How many rupees does Nisha get?
  36. 36.A garden has 8 rose plants and 16 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 2 (b) 2 : 1 (c) 2 : 3 (d) 8 : 16
  37. 37.5 : 6 = ? : 42
  38. 38.If 6 notebooks cost ₹336, how many rupees do 2 notebooks cost?
  39. 39.Are 18, 42, 21 and 49 in proportion? (a) No (b) Yes
  40. 40.A library shelf has 30 storybooks and 42 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 5 (b) 30 : 42 (c) 5 : 7 (d) 6 : 8

Answer key

  1. 10
  2. 4 : 3
  3. Yes
  4. 185
  5. 75
  6. 5 : 3
  7. 4 : 7
  8. 490
  9. 1 : 8
  10. No
  11. 5 : 7
  12. 1 : 2
  13. 456
  14. 7 : 3
  15. 7 : 9
  16. 360
  17. 7 : 8
  18. 10
  19. 800
  20. 150
  21. 3 : 1
  22. No
  23. Yes
  24. 4 : 9
  25. 168
  26. 12
  27. 400
  28. Yes
  29. 49
  30. No
  31. 7 : 1
  32. 15
  33. 260
  34. 160
  35. 180
  36. 1 : 2
  37. 35
  38. 112
  39. Yes
  40. 5 : 7

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