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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 385 · 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 6 : 8 in its simplest form. (a) 6 : 8 (b) 3 : 4 (c) 4 : 3 (d) 4 : 5
  2. 2.A train goes 90 km in 3 hours. At the same speed, how many km does it go in 1 hour?
  3. 3.Write the ratio 21 : 9 in its simplest form. (a) 7 : 3 (b) 21 : 9 (c) 3 : 7 (d) 8 : 4
  4. 4.Write the ratio 2 : 6 in its simplest form. (a) 3 : 1 (b) 1 : 3 (c) 2 : 6 (d) 2 : 4
  5. 5.If 6 mangoes cost ₹258, how many rupees do 5 mangoes cost?
  6. 6.A scooter goes 210 km in 3 hours. At the same speed, how many km does it go in 7 hours?
  7. 7.₹2100 is shared between Zoya and Sneha in the ratio 7 : 8. How many rupees does Sneha get?
  8. 8.₹900 is shared between Farhan and Aarav in the ratio 1 : 8. How many rupees does Farhan get?
  9. 9.A train goes 140 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  10. 10.Write the ratio 15 : 10 in its simplest form. (a) 2 : 3 (b) 15 : 10 (c) 3 : 2 (d) 4 : 3
  11. 11.Are 16, 36, 24 and 56 in proportion? (a) Yes (b) No
  12. 12.4 : 7 = 24 : ?
  13. 13.A bus goes 280 km in 4 hours. At the same speed, how many km does it go in 2 hours?
  14. 14.A scooter goes 300 km in 6 hours. At the same speed, how many km does it go in 2 hours?
  15. 15.A basket has 48 mangoes and 42 apples. What is the ratio of mangoes to apples in its simplest form? (a) 9 : 8 (b) 8 : 7 (c) 7 : 8 (d) 48 : 42
  16. 16.A car goes 70 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  17. 17.2 : 9 = ? : 72
  18. 18.2 : 5 = ? : 40
  19. 19.A car goes 140 km in 2 hours. At the same speed, how many km does it go in 5 hours?
  20. 20.A garden has 8 rose plants and 24 marigold plants. What is the ratio of rose plants to marigold plants in its simplest form? (a) 2 : 4 (b) 8 : 24 (c) 1 : 3 (d) 3 : 1
  21. 21.Are 5, 35, 6 and 42 in proportion? (a) Yes (b) No
  22. 22.1 : 5 = ? : 25
  23. 23.Are 4, 12, 2 and 6 in proportion? (a) Yes (b) No
  24. 24.If 6 mangoes cost ₹30, how many rupees do 11 mangoes cost?
  25. 25.If 2 pens cost ₹98, how many rupees do 12 pens cost?
  26. 26.Write the ratio 5 : 25 in its simplest form. (a) 5 : 25 (b) 2 : 6 (c) 1 : 5 (d) 5 : 1
  27. 27.6 : 7 = ? : 28
  28. 28.Are 2, 8, 4 and 16 in proportion? (a) Yes (b) No
  29. 29.₹1330 is shared between Isha and Sneha in the ratio 1 : 6. How many rupees does Isha get?
  30. 30.₹490 is shared between Priya and Manav in the ratio 2 : 5. How many rupees does Priya get?
  31. 31.Are 4, 6, 12 and 19 in proportion? (a) Yes (b) No
  32. 32.Are 4, 8, 6 and 15 in proportion? (a) Yes (b) No
  33. 33.Write the ratio 28 : 12 in its simplest form. (a) 3 : 7 (b) 7 : 3 (c) 28 : 12 (d) 8 : 4
  34. 34.2 : 5 = 14 : ?
  35. 35.If 6 ice creams cost ₹72, how many rupees do 5 ice creams cost?
  36. 36.Are 10, 35, 8 and 28 in proportion? (a) Yes (b) No
  37. 37.If 2 notebooks cost ₹64, how many rupees do 9 notebooks cost?
  38. 38.2 : 9 = ? : 18
  39. 39.Are 20, 28, 40 and 57 in proportion? (a) Yes (b) No
  40. 40.If 6 chocolates cost ₹48, how many rupees do 11 chocolates cost?

Answer key

  1. 3 : 4
  2. 30
  3. 7 : 3
  4. 1 : 3
  5. 215
  6. 490
  7. 1120
  8. 100
  9. 350
  10. 3 : 2
  11. No
  12. 42
  13. 140
  14. 100
  15. 8 : 7
  16. 105
  17. 16
  18. 16
  19. 350
  20. 1 : 3
  21. Yes
  22. 5
  23. Yes
  24. 55
  25. 588
  26. 1 : 5
  27. 24
  28. Yes
  29. 190
  30. 140
  31. No
  32. No
  33. 7 : 3
  34. 35
  35. 60
  36. Yes
  37. 288
  38. 4
  39. No
  40. 88

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