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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 59 · 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.A library shelf has 24 storybooks and 42 science books. What is the ratio of storybooks to science books in its simplest form? (a) 7 : 4 (b) 4 : 7 (c) 5 : 8 (d) 24 : 42
  2. 2.7 : 8 = ? : 48
  3. 3.1 : 8 = ? : 16
  4. 4.Write the ratio 10 : 18 in its simplest form. (a) 6 : 10 (b) 5 : 9 (c) 10 : 18 (d) 9 : 5
  5. 5.Write the ratio 8 : 14 in its simplest form. (a) 8 : 14 (b) 7 : 4 (c) 4 : 7 (d) 5 : 8
  6. 6.If 2 notebooks cost ₹14, how many rupees do 10 notebooks cost?
  7. 7.2 : 3 = 16 : ?
  8. 8.3 : 4 = ? : 16
  9. 9.A class has 8 boys and 20 girls. What is the ratio of boys to girls in its simplest form? (a) 5 : 2 (b) 2 : 5 (c) 3 : 6 (d) 8 : 20
  10. 10.₹520 is shared between Ishaan and Lakshmi in the ratio 1 : 3. How many rupees does Ishaan get?
  11. 11.If 6 chocolates cost ₹300, how many rupees do 3 chocolates cost?
  12. 12.A basket has 30 mangoes and 6 apples. What is the ratio of mangoes to apples in its simplest form? (a) 30 : 6 (b) 6 : 2 (c) 5 : 1 (d) 1 : 5
  13. 13.3 : 4 = ? : 28
  14. 14.Are 9, 21, 12 and 28 in proportion? (a) Yes (b) No
  15. 15.1 : 8 = 9 : ?
  16. 16.₹1400 is shared between Aarav and Nisha in the ratio 3 : 7. How many rupees does Aarav get?
  17. 17.4 : 7 = 12 : ?
  18. 18.Write the ratio 15 : 40 in its simplest form. (a) 4 : 9 (b) 8 : 3 (c) 3 : 8 (d) 15 : 40
  19. 19.A train goes 80 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  20. 20.₹330 is shared between Ananya and Lakshmi in the ratio 5 : 6. How many rupees does Ananya get?
  21. 21.₹780 is shared between Karan and Aditya in the ratio 6 : 7. How many rupees does Aditya get?
  22. 22.If 4 pens cost ₹52, how many rupees do 12 pens cost?
  23. 23.A garden has 6 rose plants and 18 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 6 : 18 (b) 1 : 3 (c) 2 : 4 (d) 3 : 1
  24. 24.₹840 is shared between Joseph and Kavya in the ratio 1 : 6. How many rupees does Kavya get?
  25. 25.Write the ratio 25 : 40 in its simplest form. (a) 6 : 9 (b) 5 : 8 (c) 25 : 40 (d) 8 : 5
  26. 26.A train goes 135 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  27. 27.A class has 10 boys and 2 girls. What is the ratio of boys to girls in its simplest form? (a) 1 : 5 (b) 10 : 2 (c) 6 : 2 (d) 5 : 1
  28. 28.1 : 5 = ? : 25
  29. 29.₹720 is shared between Ishaan and Rohan in the ratio 4 : 5. How many rupees does Rohan get?
  30. 30.Are 9, 12, 15 and 20 in proportion? (a) No (b) Yes
  31. 31.A box has 42 red pens and 54 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 10 (b) 42 : 54 (c) 9 : 7 (d) 7 : 9
  32. 32.₹1430 is shared between Nisha and Diya in the ratio 5 : 6. How many rupees does Nisha get?
  33. 33.A train goes 120 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  34. 34.3 : 4 = ? : 32
  35. 35.If 7 bus tickets cost ₹63, how many rupees do 8 bus tickets cost?
  36. 36.₹1040 is shared between Pooja and Kabir in the ratio 1 : 7. How many rupees does Pooja get?
  37. 37.A garden has 5 rose plants and 20 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 1 : 4 (b) 4 : 1 (c) 5 : 20 (d) 2 : 5
  38. 38.₹630 is shared between Kavya and Ishaan in the ratio 1 : 6. How many rupees does Kavya get?
  39. 39.Write the ratio 32 : 72 in its simplest form. (a) 5 : 10 (b) 32 : 72 (c) 9 : 4 (d) 4 : 9
  40. 40.If 2 bus tickets cost ₹106, how many rupees do 10 bus tickets cost?

Answer key

  1. 4 : 7
  2. 42
  3. 2
  4. 5 : 9
  5. 4 : 7
  6. 70
  7. 24
  8. 12
  9. 2 : 5
  10. 130
  11. 150
  12. 5 : 1
  13. 21
  14. Yes
  15. 72
  16. 420
  17. 21
  18. 3 : 8
  19. 280
  20. 150
  21. 420
  22. 156
  23. 1 : 3
  24. 720
  25. 5 : 8
  26. 360
  27. 5 : 1
  28. 5
  29. 400
  30. Yes
  31. 7 : 9
  32. 650
  33. 280
  34. 24
  35. 72
  36. 130
  37. 1 : 4
  38. 90
  39. 4 : 9
  40. 530

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