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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 47 · 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 20, 35, 32 and 59 in proportion? (a) No (b) Yes
  2. 2.A bus goes 195 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  3. 3.A team has 54 batters and 12 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 2 (b) 2 : 9 (c) 54 : 12 (d) 10 : 3
  4. 4.1 : 3 = ? : 18
  5. 5.₹910 is shared between Sneha and Gurpreet in the ratio 2 : 5. How many rupees does Sneha get?
  6. 6.Write the ratio 10 : 6 in its simplest form. (a) 3 : 5 (b) 6 : 4 (c) 10 : 6 (d) 5 : 3
  7. 7.₹360 is shared between Farhan and Priya in the ratio 2 : 7. How many rupees does Farhan get?
  8. 8.If 5 mangoes cost ₹140, how many rupees do 2 mangoes cost?
  9. 9.A car goes 390 km in 6 hours. At the same speed, how many km does it go in 8 hours?
  10. 10.If 2 bus tickets cost ₹32, how many rupees do 12 bus tickets cost?
  11. 11.Are 5, 10, 8 and 17 in proportion? (a) No (b) Yes
  12. 12.A class has 56 boys and 64 girls. What is the ratio of boys to girls in its simplest form? (a) 7 : 8 (b) 56 : 64 (c) 8 : 7 (d) 8 : 9
  13. 13.1 : 6 = ? : 36
  14. 14.A car goes 270 km in 6 hours. At the same speed, how many km does it go in 1 hour?
  15. 15.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  16. 16.A garden has 30 rose plants and 42 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 7 : 5 (b) 30 : 42 (c) 6 : 8 (d) 5 : 7
  17. 17.2 : 3 = ? : 12
  18. 18.A car goes 280 km in 4 hours. At the same speed, how many km does it go in 3 hours?
  19. 19.₹1040 is shared between Zoya and Saanvi in the ratio 6 : 7. How many rupees does Zoya get?
  20. 20.Write the ratio 72 : 40 in its simplest form. (a) 5 : 9 (b) 10 : 6 (c) 9 : 5 (d) 72 : 40
  21. 21.A bus goes 480 km in 6 hours. At the same speed, how many km does it go in 7 hours?
  22. 22.A car goes 140 km in 4 hours. At the same speed, how many km does it go in 7 hours?
  23. 23.₹750 is shared between Rohan and Aditya in the ratio 1 : 4. How many rupees does Rohan get?
  24. 24.If 5 pens cost ₹30, how many rupees do 11 pens cost?
  25. 25.Write the ratio 18 : 45 in its simplest form. (a) 18 : 45 (b) 5 : 2 (c) 3 : 6 (d) 2 : 5
  26. 26.Write the ratio 18 : 3 in its simplest form. (a) 18 : 3 (b) 7 : 2 (c) 1 : 6 (d) 6 : 1
  27. 27.Write the ratio 35 : 21 in its simplest form. (a) 3 : 5 (b) 35 : 21 (c) 5 : 3 (d) 6 : 4
  28. 28.A train goes 300 km in 5 hours. At the same speed, how many km does it go in 3 hours?
  29. 29.If 2 notebooks cost ₹48, how many rupees do 10 notebooks cost?
  30. 30.1 : 2 = ? : 18
  31. 31.₹140 is shared between Diya and Gurpreet in the ratio 3 : 4. How many rupees does Gurpreet get?
  32. 32.A train goes 325 km in 5 hours. At the same speed, how many km does it go in 4 hours?
  33. 33.A train goes 160 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  34. 34.Write the ratio 6 : 16 in its simplest form. (a) 3 : 8 (b) 6 : 16 (c) 4 : 9 (d) 8 : 3
  35. 35.Are 12, 18, 6 and 9 in proportion? (a) No (b) Yes
  36. 36.A class has 9 boys and 15 girls. What is the ratio of boys to girls in its simplest form? (a) 9 : 15 (b) 3 : 5 (c) 5 : 3 (d) 4 : 6
  37. 37.5 : 7 = ? : 21
  38. 38.Write the ratio 9 : 21 in its simplest form. (a) 7 : 3 (b) 4 : 8 (c) 9 : 21 (d) 3 : 7
  39. 39.₹750 is shared between Ananya and Isha in the ratio 1 : 4. How many rupees does Ananya get?
  40. 40.Are 3, 12, 4 and 16 in proportion? (a) Yes (b) No

Answer key

  1. No
  2. 130
  3. 9 : 2
  4. 6
  5. 260
  6. 5 : 3
  7. 80
  8. 56
  9. 520
  10. 192
  11. No
  12. 7 : 8
  13. 6
  14. 45
  15. 35
  16. 5 : 7
  17. 8
  18. 210
  19. 480
  20. 9 : 5
  21. 560
  22. 245
  23. 150
  24. 66
  25. 2 : 5
  26. 6 : 1
  27. 5 : 3
  28. 180
  29. 240
  30. 9
  31. 80
  32. 260
  33. 240
  34. 3 : 8
  35. Yes
  36. 3 : 5
  37. 15
  38. 3 : 7
  39. 150
  40. Yes

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