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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 10 · 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.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 45 (b) 44 (c) 24 (d) 46
  2. 2.What is the average of 77, 90, 69, 87, 79 and 54? (a) 75 (b) 78 (c) 76 (d) 77
  3. 3.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 12 (b) 54 (c) 86 (d) 44
  4. 4.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 31? (a) 31 (b) 35 (c) 59 (d) 32
  5. 5.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 16 (b) 31 (c) 43 (d) 58
  6. 6.What is the average of 49, 45, 41, 65, 63 and 55? (a) 52 (b) 53 (c) 55 (d) 54
  7. 7.What is the average of all the whole numbers from 41 to 73? (a) 32 (b) 58 (c) 16 (d) 57
  8. 8.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 59 (c) 8 (d) 65
  9. 9.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 73 (b) 38 (c) 45 (d) 42
  10. 10.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 110 (b) 68 (c) 62 (d) 54
  11. 11.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 58 (b) 8 (c) 56 (d) 62
  12. 12.What is the average of all the whole numbers from 7 to 35? (a) 14 (b) 28 (c) 21 (d) 22
  13. 13.What is the average of all the whole numbers from 41 to 75? (a) 34 (b) 17 (c) 59 (d) 58
  14. 14.What is the average of 28, 32, 49, 31 and 65? (a) 42 (b) 41 (c) 43 (d) 40
  15. 15.What is the average of 77, 62, 79 and 86? (a) 76 (b) 77 (c) 75 (d) 78
  16. 16.What is the average of all the whole numbers from 16 to 52? (a) 34 (b) 35 (c) 36 (d) 18
  17. 17.What is the average of 18, 33, 18, 23, 26 and 80? (a) 33 (b) 32 (c) 34 (d) 35
  18. 18.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 27 (b) 37 (c) 40 (d) 61
  19. 19.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 38 (b) 37 (c) 46 (d) 95
  20. 20.What is the average of all the whole numbers from 56 to 62? (a) 59 (b) 6 (c) 60 (d) 3
  21. 21.What is the average of 20, 13, 27, 23, 20 and 29? (a) 22 (b) 23 (c) 24 (d) 21
  22. 22.What is the average of 88, 62, 58, 60 and 97? (a) 74 (b) 73 (c) 72 (d) 75
  23. 23.What is the average of 60, 58, 45, 38 and 49? (a) 52 (b) 49 (c) 50 (d) 51
  24. 24.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 8 (c) 44 (d) 40
  25. 25.What is the average of all the whole numbers from 5 to 15? (a) 9 (b) 11 (c) 10 (d) 5
  26. 26.What is the average of 38, 50, 47, 53 and 2? (a) 37 (b) 39 (c) 40 (d) 38
  27. 27.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 28 (b) 49 (c) 46 (d) 25
  28. 28.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 38 (c) 10 (d) 32
  29. 29.What is the average of all the whole numbers from 44 to 62? (a) 54 (b) 53 (c) 18 (d) 9
  30. 30.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 33 (b) 22 (c) 21 (d) 69
  31. 31.What is the average of 25, 29, 40, 17, 44 and 25? (a) 29 (b) 30 (c) 31 (d) 36
  32. 32.What is the average of 46, 32, 53, 55 and 49? (a) 49 (b) 46 (c) 47 (d) 48
  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 45? (a) 24 (b) 49 (c) 65 (d) 45
  34. 34.What is the average of all the whole numbers from 39 to 77? (a) 19 (b) 58 (c) 59 (d) 38
  35. 35.What is the average of all the whole numbers from 40 to 74? (a) 58 (b) 57 (c) 34 (d) 17
  36. 36.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 24 (c) 83 (d) 65
  37. 37.What is the average of 13, 30, 35 and 22? (a) 24 (b) 25 (c) 26 (d) 27
  38. 38.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 100 (c) 64 (d) 48
  39. 39.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 32 (b) 22 (c) 13 (d) 41
  40. 40.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 53 (c) 24 (d) 65

Answer key

  1. 45
  2. 76
  3. 54
  4. 59
  5. 43
  6. 53
  7. 57
  8. 65
  9. 73
  10. 110
  11. 62
  12. 21
  13. 58
  14. 41
  15. 76
  16. 34
  17. 33
  18. 61
  19. 37
  20. 59
  21. 22
  22. 73
  23. 50
  24. 44
  25. 10
  26. 38
  27. 49
  28. 38
  29. 53
  30. 21
  31. 30
  32. 47
  33. 65
  34. 58
  35. 57
  36. 83
  37. 25
  38. 100
  39. 41
  40. 65

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