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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 187 · 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 all the whole numbers from 46 to 62? (a) 16 (b) 55 (c) 8 (d) 54
  2. 2.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 62 (b) 28 (c) 55 (d) 76
  3. 3.What is the average of 34, 37, 46, 25 and 58? (a) 40 (b) 41 (c) 39 (d) 50
  4. 4.What is the average of all the whole numbers from 35 to 61? (a) 26 (b) 49 (c) 48 (d) 13
  5. 5.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 23 (b) 41 (c) 58 (d) 40
  6. 6.What is the average of all the whole numbers from 12 to 48? (a) 36 (b) 18 (c) 30 (d) 31
  7. 7.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 26 (b) 7 (c) 32 (d) 51
  8. 8.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 5 (b) 11 (c) 24 (d) 6
  9. 9.What is the average of all the whole numbers from 60 to 72? (a) 12 (b) 67 (c) 6 (d) 66
  10. 10.What is the average of 7, 22, 36, 20, 36 and 11? (a) 23 (b) 22 (c) 24 (d) 21
  11. 11.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 91 (c) 35 (d) 70
  12. 12.What is the average of all the whole numbers from 7 to 19? (a) 13 (b) 12 (c) 6 (d) 14
  13. 13.What is the average of 43, 25, 17, 44, 37 and 26? (a) 31 (b) 32 (c) 33 (d) 34
  14. 14.What is the average of 58, 74, 59, 84, 60 and 91? (a) 70 (b) 71 (c) 72 (d) 73
  15. 15.What is the average of all the whole numbers from 51 to 85? (a) 69 (b) 17 (c) 68 (d) 34
  16. 16.What is the average of 49, 39, 37, 48 and 57? (a) 45 (b) 48 (c) 46 (d) 47
  17. 17.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 91 (b) 50 (c) 5 (d) 46
  18. 18.What is the average of all the whole numbers from 38 to 52? (a) 45 (b) 46 (c) 7 (d) 14
  19. 19.What is the average of 23, 37, 38 and 38? (a) 35 (b) 34 (c) 36 (d) 33
  20. 20.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 38? (a) 38 (b) 36 (c) 42 (d) 70
  21. 21.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 40 (b) 74 (c) 73 (d) 39
  22. 22.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 36 (b) 22 (c) 77 (d) 21
  23. 23.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 19 (b) 91 (c) 43 (d) 18
  24. 24.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 67? (a) 42 (b) 102 (c) 74 (d) 67
  25. 25.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 3 (b) 4 (c) 18 (d) 41
  26. 26.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 10 (b) 8 (c) 16 (d) 18
  27. 27.What is the average of all the whole numbers from 24 to 44? (a) 20 (b) 35 (c) 34 (d) 10
  28. 28.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 89 (b) 45 (c) 48 (d) 4
  29. 29.What is the average of all the whole numbers from 11 to 19? (a) 15 (b) 16 (c) 8 (d) 4
  30. 30.What is the average of all the whole numbers from 59 to 85? (a) 73 (b) 72 (c) 26 (d) 13
  31. 31.What is the average of all the whole numbers from 40 to 54? (a) 48 (b) 14 (c) 47 (d) 7
  32. 32.What is the average of 55, 35, 57 and 49? (a) 48 (b) 49 (c) 51 (d) 50
  33. 33.What is the average of 63, 67, 56 and 26? (a) 55 (b) 53 (c) 52 (d) 54
  34. 34.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 15 (b) 46 (c) 34 (d) 37
  35. 35.What is the average of all the whole numbers from 55 to 95? (a) 76 (b) 20 (c) 40 (d) 75
  36. 36.What is the average of all the whole numbers from 21 to 29? (a) 4 (b) 8 (c) 25 (d) 26
  37. 37.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 70 (b) 55 (c) 52 (d) 21
  38. 38.What is the average of 63, 82, 61, 59 and 105? (a) 74 (b) 75 (c) 76 (d) 73
  39. 39.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 40 (b) 18 (c) 2 (d) 3
  40. 40.What is the average of 27, 18, 22, 21 and 72? (a) 31 (b) 32 (c) 40 (d) 33

Answer key

  1. 54
  2. 76
  3. 40
  4. 48
  5. 58
  6. 30
  7. 32
  8. 5
  9. 66
  10. 22
  11. 91
  12. 13
  13. 32
  14. 71
  15. 68
  16. 46
  17. 50
  18. 45
  19. 34
  20. 70
  21. 74
  22. 21
  23. 18
  24. 102
  25. 3
  26. 16
  27. 34
  28. 48
  29. 15
  30. 72
  31. 47
  32. 49
  33. 53
  34. 46
  35. 75
  36. 25
  37. 70
  38. 74
  39. 2
  40. 32

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