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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 546 · 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 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 34 (c) 46 (d) 24
  2. 2.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 65 (b) 24 (c) 45 (d) 49
  3. 3.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 39 (b) 79 (c) 31 (d) 56
  4. 4.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 13 (b) 62 (c) 29 (d) 14
  5. 5.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 31 (c) 63 (d) 40
  6. 6.What is the average of 9, 29, 13 and 41? (a) 25 (b) 23 (c) 22 (d) 24
  7. 7.What is the average of 47, 34, 44 and 39? (a) 40 (b) 43 (c) 41 (d) 42
  8. 8.What is the average of all the whole numbers from 51 to 89? (a) 19 (b) 70 (c) 71 (d) 38
  9. 9.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 6 (b) 31 (c) 26 (d) 51
  10. 10.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) 43 (b) 20 (c) 90 (d) 19
  11. 11.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 58 (b) 30 (c) 10 (d) 38
  12. 12.What is the average of 10, 15, 36, 25, 14 and 44? (a) 26 (b) 24 (c) 23 (d) 25
  13. 13.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 45 (b) 39 (c) 40 (d) 91
  14. 14.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 43 (b) 24 (c) 22 (d) 41
  15. 15.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 36 (b) 56 (c) 76 (d) 28
  16. 16.What is the average of all the whole numbers from 28 to 52? (a) 12 (b) 41 (c) 24 (d) 40
  17. 17.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 58 (b) 40 (c) 77 (d) 21
  18. 18.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 10 (b) 49 (c) 57 (d) 96
  19. 19.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 63 (c) 66 (d) 115
  20. 20.What is the average of 77, 88, 80 and 51? (a) 73 (b) 75 (c) 76 (d) 74
  21. 21.What is the average of all the whole numbers from 10 to 32? (a) 21 (b) 22 (c) 11 (d) 20
  22. 22.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 30 (b) 28 (c) 20 (d) 46
  23. 23.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 27 (b) 38 (c) 26 (d) 79
  24. 24.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 33 (b) 45 (c) 93 (d) 34
  25. 25.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 43 (b) 55 (c) 16 (d) 82
  26. 26.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 63 (c) 21 (d) 48
  27. 27.What is the average of all the whole numbers from 18 to 36? (a) 18 (b) 9 (c) 27 (d) 28
  28. 28.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 80 (b) 110 (c) 46 (d) 38
  29. 29.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 30 (b) 60 (c) 65 (d) 85
  30. 30.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 24 (b) 14 (c) 28 (d) 38
  31. 31.What is the average of 10, 15, 31 and 32? (a) 23 (b) 22 (c) 21 (d) 24
  32. 32.What is the average of all the whole numbers from 24 to 32? (a) 4 (b) 28 (c) 29 (d) 8
  33. 33.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 28 (b) 35 (c) 51 (d) 58
  34. 34.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 55 (b) 54 (c) 36 (d) 30
  35. 35.What is the average of 57, 56, 75 and 80? (a) 67 (b) 68 (c) 66 (d) 69
  36. 36.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) 55 (b) 29 (c) 18 (d) 44
  37. 37.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 35 (b) 30 (c) 50 (d) 75
  38. 38.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 37 (c) 40 (d) 61
  39. 39.What is the average of 13, 41, 28, 18 and 40? (a) 27 (b) 28 (c) 35 (d) 29
  40. 40.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 81 (b) 12 (c) 51 (d) 42

Answer key

  1. 46
  2. 65
  3. 79
  4. 13
  5. 63
  6. 23
  7. 41
  8. 70
  9. 31
  10. 19
  11. 38
  12. 24
  13. 39
  14. 43
  15. 76
  16. 40
  17. 58
  18. 57
  19. 115
  20. 74
  21. 21
  22. 46
  23. 26
  24. 33
  25. 55
  26. 63
  27. 27
  28. 110
  29. 85
  30. 38
  31. 22
  32. 28
  33. 58
  34. 54
  35. 67
  36. 44
  37. 75
  38. 61
  39. 28
  40. 51

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