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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 840 · 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 61, 78, 87, 68 and 66? (a) 73 (b) 71 (c) 72 (d) 90
  2. 2.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 27 (b) 14 (c) 19 (d) 6
  3. 3.What is the average of 78, 69, 63 and 82? (a) 73 (b) 72 (c) 75 (d) 74
  4. 4.What is the average of 58, 49, 50 and 15? (a) 45 (b) 44 (c) 42 (d) 43
  5. 5.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 43 (b) 93 (c) 46 (d) 42
  6. 6.What is the average of 74, 64, 56, 67, 75 and 66? (a) 69 (b) 68 (c) 67 (d) 66
  7. 7.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 48 (c) 94 (d) 58
  8. 8.What is the average of 55, 65, 60, 66 and 79? (a) 67 (b) 66 (c) 64 (d) 65
  9. 9.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 26 (b) 17 (c) 54 (d) 16
  10. 10.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 47 (b) 10 (c) 11 (d) 22
  11. 11.What is the average of 28, 47, 41, 30, 32 and 68? (a) 42 (b) 41 (c) 40 (d) 43
  12. 12.What is the average of all the whole numbers from 30 to 44? (a) 37 (b) 14 (c) 38 (d) 7
  13. 13.What is the average of 34, 28, 10 and 12? (a) 21 (b) 28 (c) 20 (d) 22
  14. 14.What is the average of all the whole numbers from 32 to 72? (a) 20 (b) 52 (c) 53 (d) 40
  15. 15.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 16 (b) 31 (c) 8 (d) 23
  16. 16.What is the average of all the whole numbers from 39 to 49? (a) 45 (b) 5 (c) 44 (d) 10
  17. 17.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 80 (b) 60 (c) 132 (d) 68
  18. 18.What is the average of 56, 41, 59 and 52? (a) 53 (b) 54 (c) 51 (d) 52
  19. 19.What is the average of 57, 42, 36, 44, 39 and 88? (a) 53 (b) 51 (c) 52 (d) 50
  20. 20.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 16 (c) 50 (d) 58
  21. 21.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 32 (b) 46 (c) 74 (d) 88
  22. 22.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 43 (c) 40 (d) 75
  23. 23.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 35 (b) 14 (c) 47 (d) 68
  24. 24.What is the average of 55, 56, 59 and 10? (a) 45 (b) 46 (c) 44 (d) 60
  25. 25.What is the average of all the whole numbers from 6 to 12? (a) 3 (b) 10 (c) 9 (d) 6
  26. 26.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 45 (b) 30 (c) 32 (d) 17
  27. 27.What is the average of all the whole numbers from 17 to 39? (a) 22 (b) 11 (c) 29 (d) 28
  28. 28.What is the average of 12, 22, 31, 36 and 4? (a) 20 (b) 23 (c) 21 (d) 22
  29. 29.What is the average of 23, 38, 28, 44 and 57? (a) 40 (b) 37 (c) 38 (d) 39
  30. 30.What is the average of all the whole numbers from 20 to 30? (a) 26 (b) 5 (c) 25 (d) 10
  31. 31.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 45 (b) 15 (c) 36 (d) 33
  32. 32.What is the average of 63, 38, 54, 52 and 33? (a) 60 (b) 47 (c) 49 (d) 48
  33. 33.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 36 (b) 24 (c) 69 (d) 57
  34. 34.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 8 (b) 21 (c) 40 (d) 27
  35. 35.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 63 (c) 40 (d) 95
  36. 36.What is the average of all the whole numbers from 55 to 75? (a) 20 (b) 65 (c) 10 (d) 66
  37. 37.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 30 (c) 67 (d) 47
  38. 38.What is the average of all the whole numbers from 36 to 74? (a) 56 (b) 38 (c) 19 (d) 55
  39. 39.What is the average of all the whole numbers from 42 to 74? (a) 59 (b) 58 (c) 32 (d) 16
  40. 40.What is the average of all the whole numbers from 10 to 44? (a) 34 (b) 17 (c) 27 (d) 28

Answer key

  1. 72
  2. 19
  3. 73
  4. 43
  5. 42
  6. 67
  7. 94
  8. 65
  9. 16
  10. 10
  11. 41
  12. 37
  13. 21
  14. 52
  15. 23
  16. 44
  17. 132
  18. 52
  19. 51
  20. 58
  21. 74
  22. 75
  23. 47
  24. 45
  25. 9
  26. 45
  27. 28
  28. 21
  29. 38
  30. 25
  31. 45
  32. 48
  33. 57
  34. 27
  35. 95
  36. 65
  37. 67
  38. 55
  39. 58
  40. 27

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