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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 177 · 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 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 59 (b) 8 (c) 55 (d) 53
  2. 2.What is the average of all the whole numbers from 13 to 39? (a) 13 (b) 25 (c) 26 (d) 27
  3. 3.What is the average of all the whole numbers from 23 to 39? (a) 31 (b) 32 (c) 16 (d) 8
  4. 4.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 15 (b) 30 (c) 25 (d) 20
  5. 5.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) 17 (b) 32 (c) 30 (d) 45
  6. 6.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 23 (b) 42 (c) 88 (d) 22
  7. 7.What is the average of 47, 50, 66 and 73? (a) 61 (b) 60 (c) 59 (d) 58
  8. 8.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 79 (b) 62 (c) 25 (d) 42
  9. 9.What is the average of all the whole numbers from 17 to 53? (a) 18 (b) 35 (c) 34 (d) 36
  10. 10.What is the average of 14, 35, 18, 17 and 26? (a) 22 (b) 24 (c) 21 (d) 23
  11. 11.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 99 (c) 45 (d) 64
  12. 12.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 47 (b) 30 (c) 72 (d) 89
  13. 13.What is the average of 69, 57, 49 and 49? (a) 58 (b) 57 (c) 56 (d) 55
  14. 14.What is the average of all the whole numbers from 31 to 39? (a) 8 (b) 35 (c) 36 (d) 4
  15. 15.What is the average of 70, 62, 76, 68 and 99? (a) 75 (b) 77 (c) 76 (d) 74
  16. 16.What is the average of 85, 71, 79, 74, 74 and 43? (a) 73 (b) 70 (c) 72 (d) 71
  17. 17.What is the average of 24, 22, 28 and 34? (a) 28 (b) 27 (c) 36 (d) 26
  18. 18.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 98 (b) 10 (c) 58 (d) 50
  19. 19.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 52 (b) 18 (c) 40 (d) 37
  20. 20.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 46 (b) 70 (c) 43 (d) 30
  21. 21.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 117 (c) 70 (d) 61
  22. 22.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 53 (b) 21 (c) 38 (d) 35
  23. 23.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 31? (a) 76 (b) 36 (c) 31 (d) 50
  24. 24.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 52 (c) 76 (d) 30
  25. 25.What is the average of all the whole numbers from 43 to 59? (a) 51 (b) 52 (c) 8 (d) 16
  26. 26.What is the average of all the whole numbers from 30 to 60? (a) 45 (b) 46 (c) 30 (d) 15
  27. 27.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 24? (a) 40 (b) 28 (c) 20 (d) 24
  28. 28.What is the average of 81, 83, 71 and 49? (a) 70 (b) 73 (c) 72 (d) 71
  29. 29.What is the average of 77, 66, 74, 61 and 52? (a) 66 (b) 68 (c) 67 (d) 65
  30. 30.What is the average of all the whole numbers from 37 to 65? (a) 28 (b) 52 (c) 51 (d) 14
  31. 31.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 22 (b) 3 (c) 2 (d) 48
  32. 32.What is the average of all the whole numbers from 11 to 43? (a) 28 (b) 32 (c) 16 (d) 27
  33. 33.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 48? (a) 55 (b) 48 (c) 83 (d) 42
  34. 34.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 25 (b) 87 (c) 46 (d) 66
  35. 35.What is the average of all the whole numbers from 42 to 80? (a) 19 (b) 61 (c) 38 (d) 62
  36. 36.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 52 (c) 32 (d) 27
  37. 37.What is the average of all the whole numbers from 16 to 28? (a) 22 (b) 23 (c) 6 (d) 12
  38. 38.What is the average of 38, 24, 40, 29 and 59? (a) 38 (b) 37 (c) 39 (d) 40
  39. 39.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 37 (b) 20 (c) 53 (d) 35
  40. 40.What is the average of 48, 27, 40, 55, 30 and 52? (a) 43 (b) 41 (c) 44 (d) 42

Answer key

  1. 59
  2. 26
  3. 31
  4. 30
  5. 45
  6. 22
  7. 59
  8. 62
  9. 35
  10. 22
  11. 99
  12. 72
  13. 56
  14. 35
  15. 75
  16. 71
  17. 27
  18. 58
  19. 52
  20. 70
  21. 117
  22. 53
  23. 76
  24. 76
  25. 51
  26. 45
  27. 40
  28. 71
  29. 66
  30. 51
  31. 2
  32. 27
  33. 83
  34. 66
  35. 61
  36. 52
  37. 22
  38. 38
  39. 53
  40. 42

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