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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 393 · 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.Write the ratio 4 : 18 in its simplest form. (a) 4 : 18 (b) 9 : 2 (c) 2 : 9 (d) 3 : 10
  2. 2.Write the ratio 16 : 10 in its simplest form. (a) 9 : 6 (b) 8 : 5 (c) 16 : 10 (d) 5 : 8
  3. 3.Write the ratio 48 : 42 in its simplest form. (a) 9 : 8 (b) 48 : 42 (c) 7 : 8 (d) 8 : 7
  4. 4.7 : 8 = ? : 80
  5. 5.3 : 4 = 30 : ?
  6. 6.5 : 6 = ? : 18
  7. 7.₹70 is shared between Vivaan and Lakshmi in the ratio 1 : 6. How many rupees does Vivaan get?
  8. 8.If 6 chocolates cost ₹270, how many rupees do 10 chocolates cost?
  9. 9.Are 6, 9, 10 and 15 in proportion? (a) No (b) Yes
  10. 10.₹1440 is shared between Meera and Pooja in the ratio 4 : 5. How many rupees does Meera get?
  11. 11.₹840 is shared between Farhan and Dev in the ratio 3 : 4. How many rupees does Farhan get?
  12. 12.Write the ratio 15 : 6 in its simplest form. (a) 5 : 2 (b) 6 : 3 (c) 15 : 6 (d) 2 : 5
  13. 13.Are 35, 45, 56 and 72 in proportion? (a) No (b) Yes
  14. 14.₹2200 is shared between Isha and Ananya in the ratio 4 : 7. How many rupees does Isha get?
  15. 15.₹840 is shared between Gurpreet and Saanvi in the ratio 3 : 4. How many rupees does Gurpreet get?
  16. 16.1 : 7 = ? : 70
  17. 17.If 8 chocolates cost ₹384, how many rupees do 6 chocolates cost?
  18. 18.A car goes 225 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  19. 19.A library shelf has 20 storybooks and 5 science books. What is the ratio of storybooks to science books in its simplest form? (a) 4 : 1 (b) 1 : 4 (c) 20 : 5 (d) 5 : 2
  20. 20.If 6 notebooks cost ₹360, how many rupees do 9 notebooks cost?
  21. 21.₹360 is shared between Gurpreet and Zoya in the ratio 2 : 7. How many rupees does Zoya get?
  22. 22.₹1820 is shared between Joseph and Aditya in the ratio 5 : 8. How many rupees does Joseph get?
  23. 23.₹1760 is shared between Arjun and Lakshmi in the ratio 7 : 9. How many rupees does Lakshmi get?
  24. 24.A train goes 195 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  25. 25.₹2160 is shared between Saanvi and Riya in the ratio 5 : 7. How many rupees does Saanvi get?
  26. 26.Write the ratio 10 : 14 in its simplest form. (a) 6 : 8 (b) 10 : 14 (c) 7 : 5 (d) 5 : 7
  27. 27.Write the ratio 7 : 14 in its simplest form. (a) 2 : 1 (b) 1 : 2 (c) 2 : 3 (d) 7 : 14
  28. 28.₹1360 is shared between Tara and Rohan in the ratio 8 : 9. How many rupees does Tara get?
  29. 29.If 6 mangoes cost ₹72, how many rupees do 5 mangoes cost?
  30. 30.₹1360 is shared between Riya and Nisha in the ratio 3 : 5. How many rupees does Riya get?
  31. 31.If 4 bus tickets cost ₹164, how many rupees do 5 bus tickets cost?
  32. 32.Write the ratio 63 : 49 in its simplest form. (a) 7 : 9 (b) 10 : 8 (c) 9 : 7 (d) 63 : 49
  33. 33.1 : 8 = ? : 64
  34. 34.A box has 40 red pens and 45 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 9 : 8 (b) 40 : 45 (c) 9 : 10 (d) 8 : 9
  35. 35.A train goes 150 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  36. 36.A basket has 35 mangoes and 7 apples. What is the ratio of mangoes to apples in its simplest form? (a) 6 : 2 (b) 1 : 5 (c) 5 : 1 (d) 35 : 7
  37. 37.If 5 bus tickets cost ₹270, how many rupees do 4 bus tickets cost?
  38. 38.2 : 5 = ? : 25
  39. 39.A class has 35 boys and 20 girls. What is the ratio of boys to girls in its simplest form? (a) 8 : 5 (b) 7 : 4 (c) 35 : 20 (d) 4 : 7
  40. 40.A box has 42 red pens and 6 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 42 : 6 (b) 1 : 7 (c) 7 : 1 (d) 8 : 2

Answer key

  1. 2 : 9
  2. 8 : 5
  3. 8 : 7
  4. 70
  5. 40
  6. 15
  7. 10
  8. 450
  9. Yes
  10. 640
  11. 360
  12. 5 : 2
  13. Yes
  14. 800
  15. 360
  16. 10
  17. 288
  18. 180
  19. 4 : 1
  20. 540
  21. 280
  22. 700
  23. 990
  24. 325
  25. 900
  26. 5 : 7
  27. 1 : 2
  28. 640
  29. 60
  30. 510
  31. 205
  32. 9 : 7
  33. 8
  34. 8 : 9
  35. 250
  36. 5 : 1
  37. 216
  38. 10
  39. 7 : 4
  40. 7 : 1

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