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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 900 · 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 32, 56, 38 and 46? (a) 44 (b) 45 (c) 43 (d) 42
  2. 2.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 48 (b) 21 (c) 93 (d) 66
  3. 3.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 36 (b) 91 (c) 63 (d) 59
  4. 4.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 47 (b) 18 (c) 23 (d) 17
  5. 5.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 47 (b) 2 (c) 1 (d) 22
  6. 6.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 16 (b) 48 (c) 40 (d) 36
  7. 7.What is the average of all the whole numbers from 15 to 35? (a) 26 (b) 25 (c) 20 (d) 10
  8. 8.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 64 (b) 40 (c) 27 (d) 43
  9. 9.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 5 (b) 39 (c) 77 (d) 43
  10. 10.What is the average of 66, 66, 41, 52, 39 and 60? (a) 55 (b) 54 (c) 53 (d) 56
  11. 11.What is the average of all the whole numbers from 58 to 84? (a) 71 (b) 26 (c) 13 (d) 72
  12. 12.What is the average of 47, 73, 65, 70, 62 and 31? (a) 59 (b) 58 (c) 60 (d) 57
  13. 13.What is the average of all the whole numbers from 5 to 41? (a) 36 (b) 24 (c) 18 (d) 23
  14. 14.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 52 (b) 100 (c) 46 (d) 60
  15. 15.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 15 (b) 10 (c) 22 (d) 17
  16. 16.What is the average of 71, 80, 81 and 76? (a) 78 (b) 76 (c) 77 (d) 79
  17. 17.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 53 (b) 7 (c) 27 (d) 33
  18. 18.What is the average of 82, 58, 57, 62 and 91? (a) 69 (b) 70 (c) 71 (d) 72
  19. 19.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 47 (b) 23 (c) 24 (d) 98
  20. 20.What is the average of all the whole numbers from 39 to 71? (a) 56 (b) 16 (c) 55 (d) 32
  21. 21.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 72 (b) 66 (c) 32 (d) 38
  22. 22.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 42 (b) 85 (c) 40 (d) 39
  23. 23.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 41 (b) 21 (c) 22 (d) 86
  24. 24.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 14 (b) 4 (c) 17 (d) 27
  25. 25.What is the average of all the whole numbers from 12 to 44? (a) 32 (b) 16 (c) 29 (d) 28
  26. 26.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 66? (a) 74 (b) 66 (c) 122 (d) 64
  27. 27.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 51 (c) 12 (d) 59
  28. 28.What is the average of all the whole numbers from 52 to 76? (a) 12 (b) 24 (c) 64 (d) 65
  29. 29.What is the average of 27, 39, 49, 20, 20 and 55? (a) 34 (b) 36 (c) 35 (d) 42
  30. 30.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 69 (b) 8 (c) 7 (d) 32
  31. 31.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 48 (b) 32 (c) 38 (d) 74
  32. 32.What is the average of all the whole numbers from 12 to 30? (a) 22 (b) 9 (c) 21 (d) 18
  33. 33.What is the average of 86, 93, 83, 87 and 51? (a) 79 (b) 81 (c) 100 (d) 80
  34. 34.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 11 (b) 29 (c) 19 (d) 21
  35. 35.What is the average of 31, 22, 43, 34, 29 and 57? (a) 37 (b) 38 (c) 36 (d) 35
  36. 36.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 22 (b) 33 (c) 21 (d) 69
  37. 37.What is the average of 64, 55, 60, 53, 39 and 47? (a) 54 (b) 52 (c) 53 (d) 55
  38. 38.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 14 (b) 37 (c) 47 (d) 35
  39. 39.What is the average of all the whole numbers from 27 to 59? (a) 43 (b) 44 (c) 16 (d) 32
  40. 40.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 53 (b) 60 (c) 101 (d) 47

Answer key

  1. 43
  2. 66
  3. 91
  4. 17
  5. 1
  6. 48
  7. 25
  8. 64
  9. 43
  10. 54
  11. 71
  12. 58
  13. 23
  14. 100
  15. 22
  16. 77
  17. 33
  18. 70
  19. 23
  20. 55
  21. 66
  22. 39
  23. 21
  24. 17
  25. 28
  26. 122
  27. 59
  28. 64
  29. 35
  30. 7
  31. 74
  32. 21
  33. 80
  34. 29
  35. 36
  36. 21
  37. 53
  38. 47
  39. 43
  40. 101

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