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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 135 · 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.A train goes 120 km in 4 hours. At the same speed, how many km does it go in 5 hours?
  2. 2.If 4 mangoes cost ₹112, how many rupees do 11 mangoes cost?
  3. 3.₹60 is shared between Ishaan and Nisha in the ratio 1 : 2. How many rupees does Ishaan get?
  4. 4.Are 2, 10, 5 and 25 in proportion? (a) No (b) Yes
  5. 5.1 : 7 = 10 : ?
  6. 6.3 : 5 = ? : 20
  7. 7.Write the ratio 18 : 3 in its simplest form. (a) 1 : 6 (b) 18 : 3 (c) 7 : 2 (d) 6 : 1
  8. 8.A basket has 35 mangoes and 21 apples. What is the ratio of mangoes to apples in its simplest form? (a) 35 : 21 (b) 6 : 4 (c) 3 : 5 (d) 5 : 3
  9. 9.If 9 chocolates cost ₹270, how many rupees do 2 chocolates cost?
  10. 10.If 9 pens cost ₹117, how many rupees do 4 pens cost?
  11. 11.Are 24, 27, 16 and 19 in proportion? (a) No (b) Yes
  12. 12.If 5 ice creams cost ₹15, how many rupees do 10 ice creams cost?
  13. 13.2 : 7 = 10 : ?
  14. 14.A bus goes 180 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  15. 15.Are 4, 32, 2 and 19 in proportion? (a) No (b) Yes
  16. 16.A team has 9 batters and 45 bowlers. What is the ratio of batters to bowlers in its simplest form? (a) 9 : 45 (b) 1 : 5 (c) 5 : 1 (d) 2 : 6
  17. 17.₹950 is shared between Rohan and Diya in the ratio 1 : 4. How many rupees does Rohan get?
  18. 18.A bus goes 180 km in 3 hours. At the same speed, how many km does it go in 8 hours?
  19. 19.Write the ratio 27 : 45 in its simplest form. (a) 27 : 45 (b) 4 : 6 (c) 5 : 3 (d) 3 : 5
  20. 20.A bus goes 450 km in 6 hours. At the same speed, how many km does it go in 4 hours?
  21. 21.₹520 is shared between Rohan and Priya in the ratio 1 : 3. How many rupees does Rohan get?
  22. 22.If 9 notebooks cost ₹108, how many rupees do 8 notebooks cost?
  23. 23.Are 8, 18, 28 and 63 in proportion? (a) No (b) Yes
  24. 24.If 5 mangoes cost ₹225, how many rupees do 10 mangoes cost?
  25. 25.A garden has 12 rose plants and 18 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 3 (b) 12 : 18 (c) 3 : 2 (d) 3 : 4
  26. 26.5 : 8 = ? : 40
  27. 27.A scooter goes 105 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  28. 28.Are 4, 18, 6 and 28 in proportion? (a) No (b) Yes
  29. 29.7 : 8 = ? : 24
  30. 30.If 3 chocolates cost ₹18, how many rupees do 10 chocolates cost?
  31. 31.₹420 is shared between Isha and Kavya in the ratio 1 : 2. How many rupees does Kavya get?
  32. 32.A bus goes 450 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  33. 33.If 6 bus tickets cost ₹84, how many rupees do 7 bus tickets cost?
  34. 34.₹700 is shared between Vivaan and Arjun in the ratio 2 : 5. How many rupees does Vivaan get?
  35. 35.4 : 7 = ? : 14
  36. 36.If 6 chocolates cost ₹114, how many rupees do 2 chocolates cost?
  37. 37.A car goes 130 km in 2 hours. At the same speed, how many km does it go in 4 hours?
  38. 38.Are 3, 18, 9 and 56 in proportion? (a) Yes (b) No
  39. 39.A scooter goes 450 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  40. 40.Write the ratio 24 : 20 in its simplest form. (a) 24 : 20 (b) 6 : 5 (c) 5 : 6 (d) 7 : 6

Answer key

  1. 150
  2. 308
  3. 20
  4. Yes
  5. 70
  6. 12
  7. 6 : 1
  8. 5 : 3
  9. 60
  10. 52
  11. No
  12. 30
  13. 35
  14. 60
  15. No
  16. 1 : 5
  17. 190
  18. 480
  19. 3 : 5
  20. 300
  21. 130
  22. 96
  23. Yes
  24. 450
  25. 2 : 3
  26. 25
  27. 70
  28. No
  29. 21
  30. 60
  31. 280
  32. 150
  33. 98
  34. 200
  35. 8
  36. 38
  37. 260
  38. No
  39. 150
  40. 6 : 5

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