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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 81 · 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 72, 68, 82, 56 and 67? (a) 70 (b) 68 (c) 69 (d) 71
  2. 2.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 12 (b) 44 (c) 53 (d) 85
  3. 3.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 29 (b) 4 (c) 5 (d) 13
  4. 4.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 65 (b) 77 (c) 62 (d) 18
  5. 5.What is the average of 51, 34, 52, 38 and 35? (a) 41 (b) 43 (c) 44 (d) 42
  6. 6.What is the average of 49, 52, 52, 42 and 70? (a) 54 (b) 55 (c) 53 (d) 52
  7. 7.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 53 (c) 8 (d) 57
  8. 8.What is the average of 26, 34, 17, 11 and 27? (a) 23 (b) 22 (c) 24 (d) 25
  9. 9.What is the average of all the whole numbers from 45 to 79? (a) 34 (b) 63 (c) 17 (d) 62
  10. 10.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 101 (b) 48 (c) 47 (d) 50
  11. 11.What is the average of 22, 10, 26, 16, 11 and 41? (a) 22 (b) 20 (c) 21 (d) 23
  12. 12.What is the average of 11, 25, 19, 19 and 46? (a) 25 (b) 24 (c) 23 (d) 30
  13. 13.What is the average of 61, 86, 60 and 93? (a) 74 (b) 75 (c) 76 (d) 100
  14. 14.What is the average of all the whole numbers from 44 to 58? (a) 7 (b) 51 (c) 52 (d) 14
  15. 15.What is the average of 28, 35, 29, 33 and 40? (a) 35 (b) 32 (c) 33 (d) 34
  16. 16.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 20 (b) 63 (c) 68 (d) 78
  17. 17.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 51 (c) 40 (d) 75
  18. 18.What is the average of 31, 10, 10, 19, 10 and 40? (a) 20 (b) 24 (c) 19 (d) 21
  19. 19.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 12 (b) 30 (c) 33 (d) 39
  20. 20.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 10 (b) 37 (c) 29 (d) 31
  21. 21.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 35 (c) 59 (d) 27
  22. 22.What is the average of 33, 33, 12, 22, 12 and 32? (a) 26 (b) 23 (c) 25 (d) 24
  23. 23.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 57 (b) 28 (c) 33 (d) 37
  24. 24.What is the average of all the whole numbers from 52 to 70? (a) 61 (b) 62 (c) 18 (d) 9
  25. 25.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 34 (b) 45 (c) 33 (d) 92
  26. 26.What is the average of 57, 70, 53 and 84? (a) 88 (b) 66 (c) 65 (d) 67
  27. 27.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 60 (b) 69 (c) 15 (d) 57
  28. 28.What is the average of 61, 77, 58 and 56? (a) 64 (b) 63 (c) 84 (d) 62
  29. 29.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 70 (c) 62 (d) 118
  30. 30.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 60 (b) 65 (c) 113 (d) 59
  31. 31.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 57 (b) 67 (c) 20 (d) 52
  32. 32.What is the average of 24, 23, 23 and 54? (a) 31 (b) 33 (c) 30 (d) 32
  33. 33.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 17 (b) 6 (c) 22 (d) 33
  34. 34.What is the average of 76, 77, 82, 77, 65 and 91? (a) 80 (b) 78 (c) 77 (d) 79
  35. 35.What is the average of 23, 18, 10 and 45? (a) 25 (b) 23 (c) 24 (d) 32
  36. 36.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 24 (b) 70 (c) 95 (d) 49
  37. 37.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 24 (c) 33 (d) 51
  38. 38.What is the average of all the whole numbers from 39 to 63? (a) 51 (b) 12 (c) 52 (d) 24
  39. 39.What is the average of all the whole numbers from 52 to 84? (a) 69 (b) 68 (c) 16 (d) 32
  40. 40.What is the average of 16, 41, 44, 24, 44 and 11? (a) 31 (b) 30 (c) 29 (d) 36

Answer key

  1. 69
  2. 53
  3. 4
  4. 77
  5. 42
  6. 53
  7. 57
  8. 23
  9. 62
  10. 47
  11. 21
  12. 24
  13. 75
  14. 51
  15. 33
  16. 78
  17. 75
  18. 20
  19. 39
  20. 37
  21. 59
  22. 24
  23. 57
  24. 61
  25. 33
  26. 66
  27. 69
  28. 63
  29. 118
  30. 113
  31. 67
  32. 31
  33. 22
  34. 78
  35. 24
  36. 70
  37. 51
  38. 51
  39. 68
  40. 30

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