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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 39 · 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.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 45 (b) 24 (c) 27 (d) 33
  2. 2.What is the average of all the whole numbers from 28 to 36? (a) 8 (b) 33 (c) 4 (d) 32
  3. 3.What is the average of 65, 53, 77 and 53? (a) 61 (b) 64 (c) 62 (d) 63
  4. 4.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 36 (b) 84 (c) 52 (d) 56
  5. 5.What is the average of all the whole numbers from 53 to 71? (a) 63 (b) 18 (c) 9 (d) 62
  6. 6.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 20 (b) 43 (c) 90 (d) 19
  7. 7.What is the average of all the whole numbers from 49 to 75? (a) 13 (b) 62 (c) 26 (d) 63
  8. 8.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 71 (b) 22 (c) 34 (d) 23
  9. 9.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 23 (b) 16 (c) 22 (d) 10
  10. 10.What is the average of 72, 50, 71, 58 and 59? (a) 61 (b) 64 (c) 62 (d) 63
  11. 11.What is the average of all the whole numbers from 57 to 93? (a) 75 (b) 76 (c) 18 (d) 36
  12. 12.What is the average of 48, 25, 22 and 53? (a) 39 (b) 38 (c) 36 (d) 37
  13. 13.What is the average of all the whole numbers from 44 to 58? (a) 52 (b) 51 (c) 7 (d) 14
  14. 14.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 29 (b) 33 (c) 27 (d) 8
  15. 15.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 16 (b) 15 (c) 95 (d) 45
  16. 16.What is the average of 78, 90, 90, 85, 89 and 24? (a) 76 (b) 78 (c) 77 (d) 75
  17. 17.What is the average of all the whole numbers from 9 to 23? (a) 14 (b) 17 (c) 7 (d) 16
  18. 18.What is the average of all the whole numbers from 52 to 68? (a) 60 (b) 8 (c) 16 (d) 61
  19. 19.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 27 (c) 24 (d) 48
  20. 20.What is the average of all the whole numbers from 41 to 49? (a) 8 (b) 4 (c) 46 (d) 45
  21. 21.What is the average of 47, 49, 41, 38 and 30? (a) 41 (b) 42 (c) 43 (d) 40
  22. 22.What is the average of all the whole numbers from 43 to 65? (a) 22 (b) 54 (c) 55 (d) 11
  23. 23.What is the average of 66, 85, 82 and 59? (a) 75 (b) 74 (c) 73 (d) 72
  24. 24.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 23 (b) 34 (c) 14 (d) 25
  25. 25.What is the average of 31, 39, 37, 38 and 85? (a) 46 (b) 47 (c) 45 (d) 48
  26. 26.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 67 (b) 34 (c) 4 (d) 37
  27. 27.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 78 (b) 26 (c) 27 (d) 38
  28. 28.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 10 (b) 9 (c) 13 (d) 27
  29. 29.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) 22 (c) 21 (d) 86
  30. 30.What is the average of all the whole numbers from 31 to 67? (a) 36 (b) 50 (c) 49 (d) 18
  31. 31.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 90 (b) 65 (c) 35 (d) 60
  32. 32.What is the average of 22, 28, 30, 20 and 20? (a) 23 (b) 30 (c) 24 (d) 25
  33. 33.What is the average of 49, 74, 75, 53, 54 and 73? (a) 63 (b) 65 (c) 64 (d) 62
  34. 34.What is the average of 33, 34, 22, 29 and 27? (a) 30 (b) 31 (c) 28 (d) 29
  35. 35.What is the average of 35, 44, 33, 22, 28 and 54? (a) 38 (b) 35 (c) 36 (d) 37
  36. 36.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 46 (b) 90 (c) 10 (d) 54
  37. 37.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 45? (a) 45 (b) 47 (c) 51 (d) 8
  38. 38.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 4 (b) 3 (c) 66 (d) 31
  39. 39.What is the average of all the whole numbers from 34 to 68? (a) 17 (b) 34 (c) 52 (d) 51
  40. 40.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 40 (b) 46 (c) 82 (d) 50

Answer key

  1. 45
  2. 32
  3. 62
  4. 84
  5. 62
  6. 19
  7. 62
  8. 22
  9. 22
  10. 62
  11. 75
  12. 37
  13. 51
  14. 33
  15. 15
  16. 76
  17. 16
  18. 60
  19. 48
  20. 45
  21. 41
  22. 54
  23. 73
  24. 34
  25. 46
  26. 37
  27. 26
  28. 9
  29. 21
  30. 49
  31. 90
  32. 24
  33. 63
  34. 29
  35. 36
  36. 54
  37. 51
  38. 3
  39. 51
  40. 82

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