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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 301 · 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 18 storybooks and 63 science books. What is the ratio of storybooks to science books in its simplest form? (a) 2 : 7 (b) 3 : 8 (c) 7 : 2 (d) 18 : 63
  2. 2.8 : 9 = 72 : ?
  3. 3.4 : 7 = ? : 28
  4. 4.1 : 4 = 2 : ?
  5. 5.If 2 notebooks cost ₹10, how many rupees do 7 notebooks cost?
  6. 6.7 : 9 = ? : 45
  7. 7.₹2660 is shared between Kavya and Kabir in the ratio 5 : 9. How many rupees does Kabir get?
  8. 8.5 : 7 = ? : 21
  9. 9.Write the ratio 21 : 7 in its simplest form. (a) 1 : 3 (b) 3 : 1 (c) 4 : 2 (d) 21 : 7
  10. 10.Write the ratio 15 : 35 in its simplest form. (a) 7 : 3 (b) 15 : 35 (c) 3 : 7 (d) 4 : 8
  11. 11.₹1520 is shared between Meera and Riya in the ratio 3 : 5. How many rupees does Meera get?
  12. 12.Are 14, 18, 49 and 63 in proportion? (a) No (b) Yes
  13. 13.A bus goes 90 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  14. 14.₹1540 is shared between Vivaan and Dev in the ratio 2 : 9. How many rupees does Dev get?
  15. 15.If 7 pens cost ₹28, how many rupees do 11 pens cost?
  16. 16.5 : 9 = 50 : ?
  17. 17.A train goes 220 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  18. 18.A class has 2 boys and 4 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 1 (b) 1 : 2 (c) 2 : 3 (d) 2 : 4
  19. 19.₹520 is shared between Ishaan and Tara in the ratio 6 : 7. How many rupees does Tara get?
  20. 20.₹1600 is shared between Meera and Joseph in the ratio 3 : 5. How many rupees does Joseph get?
  21. 21.3 : 5 = ? : 15
  22. 22.₹1210 is shared between Meera and Isha in the ratio 3 : 8. How many rupees does Isha get?
  23. 23.₹630 is shared between Tara and Manav in the ratio 1 : 6. How many rupees does Manav get?
  24. 24.Write the ratio 24 : 56 in its simplest form. (a) 4 : 8 (b) 24 : 56 (c) 3 : 7 (d) 7 : 3
  25. 25.1 : 5 = ? : 20
  26. 26.1 : 6 = ? : 36
  27. 27.Are 12, 21, 32 and 57 in proportion? (a) Yes (b) No
  28. 28.1 : 7 = ? : 21
  29. 29.Write the ratio 3 : 27 in its simplest form. (a) 9 : 1 (b) 3 : 27 (c) 2 : 10 (d) 1 : 9
  30. 30.1 : 3 = 4 : ?
  31. 31.Are 3, 15, 2 and 10 in proportion? (a) Yes (b) No
  32. 32.4 : 7 = 40 : ?
  33. 33.A scooter goes 420 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  34. 34.A train goes 160 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  35. 35.1 : 7 = ? : 28
  36. 36.If 7 ice creams cost ₹105, how many rupees do 5 ice creams cost?
  37. 37.Are 6, 54, 7 and 66 in proportion? (a) No (b) Yes
  38. 38.Are 42, 48, 21 and 27 in proportion? (a) Yes (b) No
  39. 39.If 4 bus tickets cost ₹12, how many rupees do 10 bus tickets cost?
  40. 40.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 7 hours?

Answer key

  1. 2 : 7
  2. 81
  3. 16
  4. 8
  5. 35
  6. 35
  7. 1710
  8. 15
  9. 3 : 1
  10. 3 : 7
  11. 570
  12. Yes
  13. 45
  14. 1260
  15. 44
  16. 90
  17. 330
  18. 1 : 2
  19. 280
  20. 1000
  21. 9
  22. 880
  23. 540
  24. 3 : 7
  25. 4
  26. 6
  27. No
  28. 3
  29. 1 : 9
  30. 12
  31. Yes
  32. 70
  33. 280
  34. 280
  35. 4
  36. 75
  37. No
  38. No
  39. 30
  40. 245

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