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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 778 · 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 44 to 54? (a) 49 (b) 50 (c) 5 (d) 10
  2. 2.What is the average of 88, 65, 87, 90 and 45? (a) 74 (b) 77 (c) 75 (d) 76
  3. 3.What is the average of all the whole numbers from 40 to 52? (a) 46 (b) 47 (c) 6 (d) 12
  4. 4.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 20 (c) 58 (d) 46
  5. 5.What is the average of all the whole numbers from 26 to 52? (a) 39 (b) 40 (c) 26 (d) 13
  6. 6.What is the average of all the whole numbers from 57 to 69? (a) 6 (b) 12 (c) 63 (d) 64
  7. 7.What is the average of 44, 68, 70 and 54? (a) 58 (b) 60 (c) 61 (d) 59
  8. 8.What is the average of all the whole numbers from 12 to 52? (a) 20 (b) 33 (c) 32 (d) 40
  9. 9.What is the average of 79, 89, 75, 60, 74 and 73? (a) 74 (b) 76 (c) 90 (d) 75
  10. 10.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 10 (c) 33 (d) 27
  11. 11.What is the average of 52, 71, 72 and 37? (a) 57 (b) 59 (c) 58 (d) 60
  12. 12.What is the average of all the whole numbers from 15 to 41? (a) 28 (b) 26 (c) 13 (d) 29
  13. 13.What is the average of 85, 70, 62, 77, 62 and 100? (a) 77 (b) 78 (c) 76 (d) 75
  14. 14.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 26? (a) 46 (b) 24 (c) 26 (d) 30
  15. 15.What is the average of 65, 65, 62 and 44? (a) 59 (b) 60 (c) 58 (d) 61
  16. 16.What is the average of all the whole numbers from 34 to 40? (a) 3 (b) 37 (c) 6 (d) 38
  17. 17.What is the average of 65, 66, 89 and 84? (a) 78 (b) 75 (c) 77 (d) 76
  18. 18.What is the average of all the whole numbers from 57 to 91? (a) 74 (b) 34 (c) 75 (d) 17
  19. 19.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 23 (b) 51 (c) 22 (d) 25
  20. 20.What is the average of 69, 74, 52 and 61? (a) 64 (b) 66 (c) 63 (d) 65
  21. 21.What is the average of 7, 32, 7, 25, 34 and 27? (a) 23 (b) 21 (c) 22 (d) 24
  22. 22.What is the average of 75, 67, 79, 82, 65 and 112? (a) 96 (b) 81 (c) 80 (d) 79
  23. 23.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 92 (b) 47 (c) 14 (d) 59
  24. 24.What is the average of all the whole numbers from 37 to 43? (a) 6 (b) 3 (c) 40 (d) 41
  25. 25.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 51 (b) 18 (c) 42 (d) 27
  26. 26.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 62 (c) 48 (d) 18
  27. 27.What is the average of all the whole numbers from 24 to 60? (a) 43 (b) 36 (c) 42 (d) 18
  28. 28.What is the average of all the whole numbers from 29 to 67? (a) 49 (b) 38 (c) 19 (d) 48
  29. 29.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 95 (b) 20 (c) 50 (d) 65
  30. 30.What is the average of 19, 22, 23 and 64? (a) 34 (b) 31 (c) 33 (d) 32
  31. 31.What is the average of 19, 31, 41 and 37? (a) 31 (b) 32 (c) 33 (d) 34
  32. 32.What is the average of all the whole numbers from 8 to 40? (a) 32 (b) 16 (c) 24 (d) 25
  33. 33.What is the average of 81, 68, 78 and 53? (a) 70 (b) 72 (c) 71 (d) 69
  34. 34.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 64 (b) 99 (c) 51 (d) 43
  35. 35.What is the average of 92, 73, 94, 90, 79 and 46? (a) 80 (b) 81 (c) 78 (d) 79
  36. 36.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 29 (b) 2 (c) 1 (d) 62
  37. 37.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 5 (b) 59 (c) 34 (d) 30
  38. 38.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 25 (b) 40 (c) 20 (d) 45
  39. 39.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 41 (b) 84 (c) 35 (d) 36
  40. 40.What is the average of 50, 45, 63, 68, 50 and 48? (a) 53 (b) 56 (c) 54 (d) 55

Answer key

  1. 49
  2. 75
  3. 46
  4. 58
  5. 39
  6. 63
  7. 59
  8. 32
  9. 75
  10. 33
  11. 58
  12. 28
  13. 76
  14. 46
  15. 59
  16. 37
  17. 76
  18. 74
  19. 22
  20. 64
  21. 22
  22. 80
  23. 59
  24. 40
  25. 42
  26. 62
  27. 42
  28. 48
  29. 65
  30. 32
  31. 32
  32. 24
  33. 70
  34. 99
  35. 79
  36. 1
  37. 34
  38. 40
  39. 35
  40. 54

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