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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 875 · 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 62, 65, 74, 64 and 100? (a) 75 (b) 72 (c) 73 (d) 74
  2. 2.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 18 (c) 43 (d) 57
  3. 3.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 29 (b) 74 (c) 36 (d) 28
  4. 4.What is the average of 31, 28, 41, 45, 29 and 84? (a) 44 (b) 45 (c) 42 (d) 43
  5. 5.What is the average of 43, 26, 47 and 24? (a) 34 (b) 35 (c) 36 (d) 37
  6. 6.What is the average of all the whole numbers from 7 to 21? (a) 13 (b) 14 (c) 7 (d) 15
  7. 7.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 40 (b) 18 (c) 26 (d) 24
  8. 8.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 93 (b) 45 (c) 25 (d) 24
  9. 9.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 8 (b) 9 (c) 43 (d) 20
  10. 10.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 35 (b) 21 (c) 37 (d) 19
  11. 11.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 54 (b) 42 (c) 90 (d) 48
  12. 12.What is the average of 61, 65, 79, 73 and 67? (a) 68 (b) 69 (c) 71 (d) 70
  13. 13.What is the average of 43, 50, 60, 38, 53 and 56? (a) 60 (b) 51 (c) 50 (d) 49
  14. 14.What is the average of all the whole numbers from 33 to 69? (a) 18 (b) 51 (c) 52 (d) 36
  15. 15.What is the average of 21, 47, 42 and 34? (a) 37 (b) 36 (c) 35 (d) 48
  16. 16.What is the average of all the whole numbers from 32 to 52? (a) 42 (b) 10 (c) 43 (d) 20
  17. 17.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 70 (c) 100 (d) 40
  18. 18.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 56 (b) 30 (c) 58 (d) 32
  19. 19.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 12 (c) 44 (d) 52
  20. 20.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 42 (b) 79 (c) 20 (d) 57
  21. 21.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 95 (b) 21 (c) 20 (d) 45
  22. 22.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 75 (b) 51 (c) 59 (d) 32
  23. 23.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 44 (b) 55 (c) 18 (d) 29
  24. 24.What is the average of all the whole numbers from 6 to 22? (a) 8 (b) 14 (c) 15 (d) 16
  25. 25.What is the average of 15, 29, 33 and 39? (a) 30 (b) 29 (c) 31 (d) 28
  26. 26.What is the average of 54, 45, 55 and 62? (a) 72 (b) 53 (c) 54 (d) 55
  27. 27.What is the average of 28, 49, 30 and 57? (a) 43 (b) 41 (c) 40 (d) 42
  28. 28.What is the average of 17, 39, 42, 36, 47 and 11? (a) 33 (b) 32 (c) 31 (d) 34
  29. 29.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 45 (b) 80 (c) 49 (d) 38
  30. 30.What is the average of all the whole numbers from 11 to 45? (a) 17 (b) 28 (c) 34 (d) 29
  31. 31.What is the average of all the whole numbers from 24 to 30? (a) 27 (b) 3 (c) 28 (d) 6
  32. 32.What is the average of 67, 70, 68, 42 and 38? (a) 58 (b) 56 (c) 59 (d) 57
  33. 33.What is the average of 27, 38, 11, 28 and 21? (a) 25 (b) 27 (c) 26 (d) 24
  34. 34.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 57 (b) 6 (c) 7 (d) 26
  35. 35.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 7 (b) 48 (c) 83 (d) 42
  36. 36.What is the average of 20, 23, 16, 18, 36 and 67? (a) 29 (b) 30 (c) 36 (d) 31
  37. 37.What is the average of 59, 61, 49, 37, 36 and 58? (a) 49 (b) 51 (c) 60 (d) 50
  38. 38.What is the average of 78, 71, 77 and 50? (a) 70 (b) 69 (c) 92 (d) 68
  39. 39.What is the average of all the whole numbers from 20 to 48? (a) 28 (b) 35 (c) 34 (d) 14
  40. 40.What is the average of 36, 36, 38, 34, 17 and 19? (a) 30 (b) 29 (c) 31 (d) 36

Answer key

  1. 73
  2. 57
  3. 28
  4. 43
  5. 35
  6. 14
  7. 40
  8. 24
  9. 8
  10. 37
  11. 90
  12. 69
  13. 50
  14. 51
  15. 36
  16. 42
  17. 100
  18. 58
  19. 52
  20. 57
  21. 20
  22. 75
  23. 44
  24. 14
  25. 29
  26. 54
  27. 41
  28. 32
  29. 80
  30. 28
  31. 27
  32. 57
  33. 25
  34. 6
  35. 48
  36. 30
  37. 50
  38. 69
  39. 34
  40. 30

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