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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 222 · 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.Write the ratio 24 : 30 in its simplest form. (a) 5 : 4 (b) 4 : 5 (c) 5 : 6 (d) 24 : 30
  2. 2.Write the ratio 7 : 42 in its simplest form. (a) 1 : 6 (b) 6 : 1 (c) 7 : 42 (d) 2 : 7
  3. 3.₹520 is shared between Pooja and Saanvi in the ratio 1 : 3. How many rupees does Saanvi get?
  4. 4.Are 24, 30, 32 and 41 in proportion? (a) No (b) Yes
  5. 5.Are 35, 45, 56 and 73 in proportion? (a) No (b) Yes
  6. 6.₹630 is shared between Dev and Ishaan in the ratio 2 : 7. How many rupees does Dev get?
  7. 7.If 5 notebooks cost ₹215, how many rupees do 12 notebooks cost?
  8. 8.Write the ratio 9 : 15 in its simplest form. (a) 5 : 3 (b) 9 : 15 (c) 3 : 5 (d) 4 : 6
  9. 9.A bus goes 175 km in 5 hours. At the same speed, how many km does it go in 6 hours?
  10. 10.₹2000 is shared between Lakshmi and Aditya in the ratio 3 : 7. How many rupees does Aditya get?
  11. 11.Are 6, 36, 9 and 54 in proportion? (a) Yes (b) No
  12. 12.A garden has 16 rose plants and 40 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 3 : 6 (b) 16 : 40 (c) 5 : 2 (d) 2 : 5
  13. 13.If 6 mangoes cost ₹90, how many rupees do 9 mangoes cost?
  14. 14.If 7 bus tickets cost ₹343, how many rupees do 3 bus tickets cost?
  15. 15.Write the ratio 30 : 12 in its simplest form. (a) 30 : 12 (b) 2 : 5 (c) 5 : 2 (d) 6 : 3
  16. 16.1 : 4 = 2 : ?
  17. 17.2 : 3 = 18 : ?
  18. 18.If 2 ice creams cost ₹10, how many rupees do 9 ice creams cost?
  19. 19.7 : 8 = 35 : ?
  20. 20.Are 2, 4, 3 and 6 in proportion? (a) Yes (b) No
  21. 21.If 3 pens cost ₹27, how many rupees do 5 pens cost?
  22. 22.A scooter goes 150 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  23. 23.If 7 chocolates cost ₹49, how many rupees do 5 chocolates cost?
  24. 24.1 : 7 = ? : 14
  25. 25.Write the ratio 9 : 54 in its simplest form. (a) 1 : 6 (b) 2 : 7 (c) 9 : 54 (d) 6 : 1
  26. 26.Write the ratio 63 : 18 in its simplest form. (a) 63 : 18 (b) 2 : 7 (c) 7 : 2 (d) 8 : 3
  27. 27.Write the ratio 18 : 14 in its simplest form. (a) 18 : 14 (b) 10 : 8 (c) 9 : 7 (d) 7 : 9
  28. 28.1 : 2 = 6 : ?
  29. 29.If 6 chocolates cost ₹144, how many rupees do 4 chocolates cost?
  30. 30.₹2080 is shared between Tara and Lakshmi in the ratio 4 : 9. How many rupees does Tara get?
  31. 31.If 5 pens cost ₹60, how many rupees do 3 pens cost?
  32. 32.2 : 5 = ? : 40
  33. 33.1 : 2 = ? : 20
  34. 34.Write the ratio 45 : 25 in its simplest form. (a) 9 : 5 (b) 10 : 6 (c) 45 : 25 (d) 5 : 9
  35. 35.₹1440 is shared between Priya and Gurpreet in the ratio 2 : 7. How many rupees does Gurpreet get?
  36. 36.Are 25, 35, 20 and 30 in proportion? (a) Yes (b) No
  37. 37.Are 10, 25, 16 and 42 in proportion? (a) Yes (b) No
  38. 38.Are 3, 24, 6 and 51 in proportion? (a) Yes (b) No
  39. 39.A scooter goes 150 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  40. 40.If 7 pens cost ₹140, how many rupees do 8 pens cost?

Answer key

  1. 4 : 5
  2. 1 : 6
  3. 390
  4. No
  5. No
  6. 140
  7. 516
  8. 3 : 5
  9. 210
  10. 1400
  11. Yes
  12. 2 : 5
  13. 135
  14. 147
  15. 5 : 2
  16. 8
  17. 27
  18. 45
  19. 40
  20. Yes
  21. 45
  22. 100
  23. 35
  24. 2
  25. 1 : 6
  26. 7 : 2
  27. 9 : 7
  28. 12
  29. 96
  30. 640
  31. 36
  32. 16
  33. 10
  34. 9 : 5
  35. 1120
  36. No
  37. No
  38. No
  39. 90
  40. 160

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