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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 37 · 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. 1.4 : 9 = ? : 72
  2. 2.₹240 is shared between Diya and Joseph in the ratio 1 : 7. How many rupees does Diya get?
  3. 3.5 : 7 = ? : 14
  4. 4.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 7 hours?
  5. 5.Write the ratio 45 : 5 in its simplest form. (a) 10 : 2 (b) 9 : 1 (c) 1 : 9 (d) 45 : 5
  6. 6.If 7 notebooks cost ₹357, how many rupees do 6 notebooks cost?
  7. 7.7 : 9 = 35 : ?
  8. 8.₹800 is shared between Manav and Nisha in the ratio 1 : 3. How many rupees does Manav get?
  9. 9.Write the ratio 15 : 24 in its simplest form. (a) 6 : 9 (b) 5 : 8 (c) 15 : 24 (d) 8 : 5
  10. 10.A basket has 18 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 7 : 6 (b) 7 : 8 (c) 6 : 7 (d) 18 : 21
  11. 11.If 4 ice creams cost ₹44, how many rupees do 9 ice creams cost?
  12. 12.A class has 8 boys and 28 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 7 (b) 7 : 2 (c) 3 : 8 (d) 8 : 28
  13. 13.₹300 is shared between Ishaan and Riya in the ratio 3 : 7. How many rupees does Ishaan get?
  14. 14.Write the ratio 56 : 63 in its simplest form. (a) 9 : 10 (b) 9 : 8 (c) 56 : 63 (d) 8 : 9
  15. 15.A class has 9 boys and 63 girls. What is the ratio of boys to girls in its simplest form? (a) 2 : 8 (b) 9 : 63 (c) 1 : 7 (d) 7 : 1
  16. 16.A box has 72 red pens and 32 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 72 : 32 (b) 4 : 9 (c) 10 : 5 (d) 9 : 4
  17. 17.4 : 7 = ? : 56
  18. 18.1 : 9 = ? : 45
  19. 19.5 : 8 = 10 : ?
  20. 20.A scooter goes 90 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  21. 21.5 : 9 = ? : 27
  22. 22.Are 2, 4, 6 and 15 in proportion? (a) Yes (b) No
  23. 23.A bus goes 260 km in 4 hours. At the same speed, how many km does it go in 5 hours?
  24. 24.If 2 pens cost ₹10, how many rupees do 8 pens cost?
  25. 25.If 8 bus tickets cost ₹112, how many rupees do 2 bus tickets cost?
  26. 26.Write the ratio 4 : 18 in its simplest form. (a) 9 : 2 (b) 4 : 18 (c) 2 : 9 (d) 3 : 10
  27. 27.Write the ratio 5 : 20 in its simplest form. (a) 1 : 4 (b) 4 : 1 (c) 5 : 20 (d) 2 : 5
  28. 28.If 3 notebooks cost ₹63, how many rupees do 2 notebooks cost?
  29. 29.₹420 is shared between Arjun and Nisha in the ratio 1 : 2. How many rupees does Nisha get?
  30. 30.Write the ratio 3 : 6 in its simplest form. (a) 2 : 3 (b) 1 : 2 (c) 2 : 1 (d) 3 : 6
  31. 31.A bus goes 165 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  32. 32.Are 6, 10, 27 and 48 in proportion? (a) Yes (b) No
  33. 33.₹110 is shared between Aditya and Nisha in the ratio 2 : 9. How many rupees does Aditya get?
  34. 34.Are 15, 25, 24 and 42 in proportion? (a) No (b) Yes
  35. 35.7 : 9 = ? : 54
  36. 36.A scooter goes 350 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  37. 37.Are 2, 12, 8 and 50 in proportion? (a) Yes (b) No
  38. 38.A box has 40 red pens and 35 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 8 : 7 (b) 7 : 8 (c) 9 : 8 (d) 40 : 35
  39. 39.A scooter goes 90 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  40. 40.A box has 14 red pens and 16 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 14 : 16 (b) 8 : 7 (c) 7 : 8 (d) 8 : 9

Answer key

  1. 32
  2. 30
  3. 10
  4. 455
  5. 9 : 1
  6. 306
  7. 45
  8. 200
  9. 5 : 8
  10. 6 : 7
  11. 99
  12. 2 : 7
  13. 90
  14. 8 : 9
  15. 1 : 7
  16. 9 : 4
  17. 32
  18. 5
  19. 16
  20. 30
  21. 15
  22. No
  23. 325
  24. 40
  25. 28
  26. 2 : 9
  27. 1 : 4
  28. 42
  29. 280
  30. 1 : 2
  31. 275
  32. No
  33. 20
  34. No
  35. 42
  36. 70
  37. No
  38. 8 : 7
  39. 225
  40. 7 : 8

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