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Class 6 Maths Worksheet: Ratio and Proportion

Maths worksheets lesson 43: Ratio, proportion and the unitary method · Set 354 · 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 4, 36, 2 and 20 in proportion? (a) Yes (b) No
  2. 2.Write the ratio 27 : 21 in its simplest form. (a) 7 : 9 (b) 10 : 8 (c) 9 : 7 (d) 27 : 21
  3. 3.Are 25, 45, 35 and 66 in proportion? (a) Yes (b) No
  4. 4.Are 15, 20, 24 and 32 in proportion? (a) No (b) Yes
  5. 5.Are 6, 14, 9 and 21 in proportion? (a) No (b) Yes
  6. 6.A scooter goes 300 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  7. 7.1 : 8 = 9 : ?
  8. 8.Write the ratio 27 : 63 in its simplest form. (a) 27 : 63 (b) 7 : 3 (c) 3 : 7 (d) 4 : 8
  9. 9.2 : 3 = 4 : ?
  10. 10.₹490 is shared between Saanvi and Dev in the ratio 2 : 5. How many rupees does Saanvi get?
  11. 11.Are 15, 21, 30 and 43 in proportion? (a) No (b) Yes
  12. 12.7 : 8 = ? : 40
  13. 13.A train goes 70 km in 2 hours. At the same speed, how many km does it go in 1 hour?
  14. 14.7 : 9 = ? : 63
  15. 15.If 9 mangoes cost ₹45, how many rupees do 3 mangoes cost?
  16. 16.Write the ratio 9 : 15 in its simplest form. (a) 3 : 5 (b) 5 : 3 (c) 4 : 6 (d) 9 : 15
  17. 17.A library shelf has 28 storybooks and 32 science books. What is the ratio of storybooks to science books in its simplest form? (a) 8 : 9 (b) 7 : 8 (c) 8 : 7 (d) 28 : 32
  18. 18.A car goes 110 km in 2 hours. At the same speed, how many km does it go in 3 hours?
  19. 19.2 : 5 = 10 : ?
  20. 20.5 : 7 = ? : 21
  21. 21.A car goes 225 km in 5 hours. At the same speed, how many km does it go in 1 hour?
  22. 22.Write the ratio 8 : 32 in its simplest form. (a) 8 : 32 (b) 2 : 5 (c) 1 : 4 (d) 4 : 1
  23. 23.₹560 is shared between Karan and Nisha in the ratio 1 : 6. How many rupees does Nisha get?
  24. 24.If 8 pens cost ₹88, how many rupees do 4 pens cost?
  25. 25.A car goes 90 km in 3 hours. At the same speed, how many km does it go in 6 hours?
  26. 26.A train goes 280 km in 4 hours. At the same speed, how many km does it go in 5 hours?
  27. 27.A basket has 24 mangoes and 32 apples. What is the ratio of mangoes to apples in its simplest form? (a) 24 : 32 (b) 3 : 4 (c) 4 : 5 (d) 4 : 3
  28. 28.If 8 notebooks cost ₹48, how many rupees do 3 notebooks cost?
  29. 29.Are 18, 21, 12 and 14 in proportion? (a) No (b) Yes
  30. 30.A bus goes 120 km in 4 hours. At the same speed, how many km does it go in 6 hours?
  31. 31.If 8 ice creams cost ₹104, how many rupees do 10 ice creams cost?
  32. 32.₹850 is shared between Karan and Farhan in the ratio 2 : 3. How many rupees does Karan get?
  33. 33.If 7 mangoes cost ₹119, how many rupees do 8 mangoes cost?
  34. 34.If 5 mangoes cost ₹235, how many rupees do 6 mangoes cost?
  35. 35.4 : 7 = 32 : ?
  36. 36.A scooter goes 195 km in 3 hours. At the same speed, how many km does it go in 2 hours?
  37. 37.₹950 is shared between Kabir and Arjun in the ratio 2 : 3. How many rupees does Arjun get?
  38. 38.₹60 is shared between Kabir and Joseph in the ratio 1 : 2. How many rupees does Kabir get?
  39. 39.1 : 4 = 2 : ?
  40. 40.6 : 7 = 36 : ?

Answer key

  1. No
  2. 9 : 7
  3. No
  4. Yes
  5. Yes
  6. 450
  7. 72
  8. 3 : 7
  9. 6
  10. 140
  11. No
  12. 35
  13. 35
  14. 49
  15. 15
  16. 3 : 5
  17. 7 : 8
  18. 165
  19. 25
  20. 15
  21. 45
  22. 1 : 4
  23. 480
  24. 44
  25. 180
  26. 350
  27. 3 : 4
  28. 18
  29. Yes
  30. 180
  31. 130
  32. 340
  33. 136
  34. 282
  35. 56
  36. 130
  37. 570
  38. 20
  39. 8
  40. 42

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