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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 18 · 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.Are 2, 12, 9 and 55 in proportion? (a) Yes (b) No
  2. 2.₹1100 is shared between Priya and Kavya in the ratio 3 : 8. How many rupees does Priya get?
  3. 3.7 : 8 = 49 : ?
  4. 4.Are 4, 28, 2 and 14 in proportion? (a) No (b) Yes
  5. 5.Are 18, 21, 30 and 35 in proportion? (a) No (b) Yes
  6. 6.₹420 is shared between Manav and Karan in the ratio 3 : 4. How many rupees does Manav get?
  7. 7.If 2 pens cost ₹22, how many rupees do 9 pens cost?
  8. 8.A class has 3 boys and 24 girls. What is the ratio of boys to girls in its simplest form? (a) 3 : 24 (b) 1 : 8 (c) 8 : 1 (d) 2 : 9
  9. 9.A train goes 220 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  10. 10.7 : 9 = ? : 36
  11. 11.Write the ratio 8 : 40 in its simplest form. (a) 1 : 5 (b) 2 : 6 (c) 5 : 1 (d) 8 : 40
  12. 12.Write the ratio 5 : 10 in its simplest form. (a) 2 : 3 (b) 1 : 2 (c) 2 : 1 (d) 5 : 10
  13. 13.₹120 is shared between Joseph and Ishaan in the ratio 1 : 2. How many rupees does Joseph get?
  14. 14.2 : 5 = ? : 20
  15. 15.2 : 5 = ? : 50
  16. 16.If 2 pens cost ₹50, how many rupees do 9 pens cost?
  17. 17.₹140 is shared between Sneha and Arjun in the ratio 3 : 4. How many rupees does Sneha get?
  18. 18.3 : 5 = 24 : ?
  19. 19.A scooter goes 105 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  20. 20.Write the ratio 21 : 12 in its simplest form. (a) 4 : 7 (b) 7 : 4 (c) 21 : 12 (d) 8 : 5
  21. 21.1 : 2 = 6 : ?
  22. 22.If 7 notebooks cost ₹119, how many rupees do 3 notebooks cost?
  23. 23.Write the ratio 10 : 16 in its simplest form. (a) 10 : 16 (b) 6 : 9 (c) 8 : 5 (d) 5 : 8
  24. 24.If 2 chocolates cost ₹12, how many rupees do 9 chocolates cost?
  25. 25.A bus goes 195 km in 3 hours. At the same speed, how many km does it go in 5 hours?
  26. 26.A box has 81 red pens and 36 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 4 : 9 (b) 81 : 36 (c) 9 : 4 (d) 10 : 5
  27. 27.A box has 18 red pens and 42 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 18 : 42 (b) 4 : 8 (c) 7 : 3 (d) 3 : 7
  28. 28.If 7 chocolates cost ₹245, how many rupees do 9 chocolates cost?
  29. 29.₹100 is shared between Vivaan and Joseph in the ratio 1 : 4. How many rupees does Vivaan get?
  30. 30.A box has 10 red pens and 4 blue pens. What is the ratio of red pens to blue pens in its simplest form? (a) 5 : 2 (b) 10 : 4 (c) 6 : 3 (d) 2 : 5
  31. 31.1 : 8 = ? : 72
  32. 32.A train goes 225 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  33. 33.Are 15, 24, 45 and 74 in proportion? (a) Yes (b) No
  34. 34.2 : 5 = ? : 15
  35. 35.Write the ratio 10 : 18 in its simplest form. (a) 6 : 10 (b) 9 : 5 (c) 5 : 9 (d) 10 : 18
  36. 36.6 : 7 = 30 : ?
  37. 37.₹900 is shared between Meera and Ishaan in the ratio 1 : 9. How many rupees does Ishaan get?
  38. 38.Are 25, 45, 20 and 37 in proportion? (a) Yes (b) No
  39. 39.Write the ratio 40 : 35 in its simplest form. (a) 9 : 8 (b) 7 : 8 (c) 8 : 7 (d) 40 : 35
  40. 40.₹330 is shared between Karan and Aarav in the ratio 1 : 2. How many rupees does Aarav get?

Answer key

  1. No
  2. 300
  3. 56
  4. Yes
  5. Yes
  6. 180
  7. 99
  8. 1 : 8
  9. 110
  10. 28
  11. 1 : 5
  12. 1 : 2
  13. 40
  14. 8
  15. 20
  16. 225
  17. 60
  18. 40
  19. 175
  20. 7 : 4
  21. 12
  22. 51
  23. 5 : 8
  24. 54
  25. 325
  26. 9 : 4
  27. 3 : 7
  28. 315
  29. 20
  30. 5 : 2
  31. 9
  32. 75
  33. No
  34. 6
  35. 5 : 9
  36. 35
  37. 810
  38. No
  39. 8 : 7
  40. 220

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