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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 2 · 40 questions
TalentJR

How to solve it (Think in totals): Average = total ÷ how many; so total = average × how many. A number taken away = old total − new total. Evenly spaced numbers (like 10 to 20): average = (first + last) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.What is the average of 70, 60, 71 and 39? (a) 61 (b) 80 (c) 60 (d) 59
  2. 2.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 65 (c) 77 (d) 18
  3. 3.What is the average of all the whole numbers from 16 to 48? (a) 31 (b) 32 (c) 16 (d) 33
  4. 4.What is the average of 25, 18, 44 and 37? (a) 30 (b) 31 (c) 32 (d) 33
  5. 5.What is the average of all the whole numbers from 40 to 78? (a) 38 (b) 60 (c) 59 (d) 19
  6. 6.What is the average of all the whole numbers from 38 to 48? (a) 5 (b) 10 (c) 43 (d) 44
  7. 7.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 32 (b) 58 (c) 59 (d) 31
  8. 8.What is the average of 57, 74, 76 and 49? (a) 63 (b) 64 (c) 66 (d) 65
  9. 9.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 50 (b) 62 (c) 44 (d) 24
  10. 10.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 28 (b) 48 (c) 52 (d) 24
  11. 11.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 36 (b) 50 (c) 80 (d) 56
  12. 12.What is the average of 30, 25, 25, 41, 38 and 63? (a) 36 (b) 39 (c) 38 (d) 37
  13. 13.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 55 (b) 40 (c) 47 (d) 79
  14. 14.What is the average of 61, 44, 67, 44 and 49? (a) 55 (b) 52 (c) 54 (d) 53
  15. 15.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 64 (b) 60 (c) 116 (d) 68
  16. 16.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 49 (b) 67 (c) 21 (d) 95
  17. 17.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 16 (b) 40 (c) 17 (d) 84
  18. 18.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 30 (b) 32 (c) 50 (d) 26
  19. 19.What is the average of 45, 45, 48 and 90? (a) 56 (b) 57 (c) 76 (d) 58
  20. 20.What is the average of 87, 85, 80, 87 and 51? (a) 77 (b) 80 (c) 79 (d) 78
  21. 21.What is the average of all the whole numbers from 52 to 58? (a) 6 (b) 56 (c) 3 (d) 55
  22. 22.What is the average of 64, 58, 54 and 92? (a) 66 (b) 68 (c) 67 (d) 69
  23. 23.What is the average of 77, 80, 68, 70, 88 and 73? (a) 77 (b) 78 (c) 76 (d) 75
  24. 24.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 85 (b) 8 (c) 50 (d) 43
  25. 25.What is the average of 70, 67, 64 and 87? (a) 96 (b) 73 (c) 71 (d) 72
  26. 26.What is the average of 72, 43, 67, 72 and 36? (a) 57 (b) 60 (c) 58 (d) 59
  27. 27.What is the average of all the whole numbers from 27 to 57? (a) 30 (b) 43 (c) 42 (d) 15
  28. 28.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 18 (b) 26 (c) 19 (d) 11
  29. 29.What is the average of 10, 20, 27, 13, 38 and 42? (a) 30 (b) 26 (c) 24 (d) 25
  30. 30.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 26 (b) 89 (c) 25 (d) 43
  31. 31.What is the average of all the whole numbers from 12 to 32? (a) 22 (b) 20 (c) 23 (d) 10
  32. 32.What is the average of all the whole numbers from 42 to 80? (a) 62 (b) 61 (c) 38 (d) 19
  33. 33.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 14 (b) 13 (c) 44 (d) 21
  34. 34.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 65? (a) 72 (b) 65 (c) 63 (d) 121
  35. 35.What is the average of 64, 84, 74 and 66? (a) 96 (b) 72 (c) 73 (d) 71
  36. 36.What is the average of 62, 55, 50, 43, 71 and 55? (a) 58 (b) 55 (c) 56 (d) 57
  37. 37.What is the average of all the whole numbers from 20 to 32? (a) 6 (b) 27 (c) 26 (d) 12
  38. 38.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 106 (b) 58 (c) 60 (d) 52
  39. 39.What is the average of 66, 72, 85, 81, 79 and 91? (a) 81 (b) 78 (c) 79 (d) 80
  40. 40.What is the average of 15, 30, 23, 32 and 50? (a) 32 (b) 30 (c) 29 (d) 31

Answer key

  1. 60
  2. 77
  3. 32
  4. 31
  5. 59
  6. 43
  7. 59
  8. 64
  9. 62
  10. 48
  11. 80
  12. 37
  13. 79
  14. 53
  15. 116
  16. 67
  17. 16
  18. 50
  19. 57
  20. 78
  21. 55
  22. 67
  23. 76
  24. 50
  25. 72
  26. 58
  27. 42
  28. 26
  29. 25
  30. 25
  31. 22
  32. 61
  33. 13
  34. 121
  35. 72
  36. 56
  37. 26
  38. 106
  39. 79
  40. 30

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