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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 654 · 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 49, 46, 50, 65 and 75? (a) 59 (b) 58 (c) 57 (d) 56
  2. 2.What is the average of 50, 31, 35, 57 and 47? (a) 45 (b) 55 (c) 44 (d) 43
  3. 3.What is the average of 16, 8, 8 and 60? (a) 25 (b) 23 (c) 22 (d) 24
  4. 4.What is the average of all the whole numbers from 14 to 22? (a) 4 (b) 19 (c) 18 (d) 8
  5. 5.What is the average of all the whole numbers from 59 to 97? (a) 79 (b) 19 (c) 78 (d) 38
  6. 6.What is the average of 57, 72, 72, 74, 50 and 59? (a) 63 (b) 65 (c) 64 (d) 66
  7. 7.What is the average of all the whole numbers from 36 to 68? (a) 16 (b) 32 (c) 53 (d) 52
  8. 8.What is the average of 52, 52, 43 and 65? (a) 54 (b) 52 (c) 55 (d) 53
  9. 9.What is the average of all the whole numbers from 53 to 75? (a) 64 (b) 22 (c) 11 (d) 65
  10. 10.What is the average of 88, 66, 68 and 94? (a) 79 (b) 81 (c) 80 (d) 78
  11. 11.What is the average of all the whole numbers from 31 to 61? (a) 15 (b) 47 (c) 46 (d) 30
  12. 12.What is the average of all the whole numbers from 40 to 52? (a) 47 (b) 6 (c) 12 (d) 46
  13. 13.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 40 (b) 32 (c) 28 (d) 16
  14. 14.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 41 (c) 27 (d) 18
  15. 15.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 10 (b) 14 (c) 29 (d) 9
  16. 16.What is the average of 45, 28, 38 and 33? (a) 35 (b) 37 (c) 36 (d) 48
  17. 17.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 35 (b) 76 (c) 46 (d) 51
  18. 18.What is the average of 52, 45, 49, 54 and 95? (a) 60 (b) 61 (c) 59 (d) 58
  19. 19.What is the average of all the whole numbers from 23 to 55? (a) 40 (b) 39 (c) 16 (d) 32
  20. 20.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 60 (b) 40 (c) 45 (d) 25
  21. 21.What is the average of all the whole numbers from 14 to 36? (a) 11 (b) 22 (c) 25 (d) 26
  22. 22.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 47 (c) 41 (d) 10
  23. 23.What is the average of all the whole numbers from 12 to 26? (a) 19 (b) 7 (c) 14 (d) 20
  24. 24.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 38 (b) 7 (c) 6 (d) 18
  25. 25.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 17 (b) 67 (c) 32 (d) 18
  26. 26.What is the average of 35, 41, 26 and 34? (a) 36 (b) 35 (c) 34 (d) 33
  27. 27.What is the average of 18, 26, 22 and 54? (a) 30 (b) 29 (c) 31 (d) 40
  28. 28.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 56 (b) 97 (c) 48 (d) 55
  29. 29.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 4 (b) 22 (c) 43 (d) 25
  30. 30.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 25? (a) 30 (b) 25 (c) 45 (d) 46
  31. 31.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 41 (b) 40 (c) 44 (d) 89
  32. 32.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 58? (a) 61 (b) 58 (c) 82 (d) 27
  33. 33.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 75 (b) 54 (c) 39 (d) 18
  34. 34.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 35 (b) 40 (c) 67 (d) 31
  35. 35.What is the average of all the whole numbers from 56 to 62? (a) 60 (b) 3 (c) 6 (d) 59
  36. 36.What is the average of all the whole numbers from 44 to 80? (a) 63 (b) 36 (c) 18 (d) 62
  37. 37.What is the average of 30, 26, 32 and 72? (a) 42 (b) 41 (c) 40 (d) 39
  38. 38.What is the average of 25, 29, 23 and 47? (a) 30 (b) 32 (c) 33 (d) 31
  39. 39.What is the average of all the whole numbers from 17 to 27? (a) 10 (b) 5 (c) 22 (d) 23
  40. 40.What is the average of 69, 70, 79, 86 and 56? (a) 72 (b) 71 (c) 90 (d) 73

Answer key

  1. 57
  2. 44
  3. 23
  4. 18
  5. 78
  6. 64
  7. 52
  8. 53
  9. 64
  10. 79
  11. 46
  12. 46
  13. 40
  14. 41
  15. 9
  16. 36
  17. 76
  18. 59
  19. 39
  20. 60
  21. 25
  22. 47
  23. 19
  24. 6
  25. 17
  26. 34
  27. 30
  28. 97
  29. 25
  30. 45
  31. 40
  32. 82
  33. 54
  34. 67
  35. 59
  36. 62
  37. 40
  38. 31
  39. 22
  40. 72

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