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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 606 · 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 53 to 75? (a) 11 (b) 22 (c) 65 (d) 64
  2. 2.What is the average of 29, 53, 40 and 54? (a) 44 (b) 45 (c) 46 (d) 43
  3. 3.What is the average of all the whole numbers from 24 to 40? (a) 33 (b) 32 (c) 16 (d) 8
  4. 4.What is the average of 23, 37, 30, 40, 30 and 26? (a) 31 (b) 30 (c) 32 (d) 33
  5. 5.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 28 (c) 53 (d) 67
  6. 6.What is the average of all the whole numbers from 16 to 24? (a) 4 (b) 8 (c) 21 (d) 20
  7. 7.What is the average of all the whole numbers from 42 to 50? (a) 46 (b) 47 (c) 4 (d) 8
  8. 8.What is the average of 17, 11, 13, 26 and 33? (a) 19 (b) 25 (c) 20 (d) 21
  9. 9.What is the average of 59, 42, 54 and 33? (a) 48 (b) 47 (c) 49 (d) 46
  10. 10.What is the average of all the whole numbers from 15 to 41? (a) 13 (b) 28 (c) 26 (d) 29
  11. 11.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 101 (b) 41 (c) 40 (d) 49
  12. 12.What is the average of all the whole numbers from 36 to 70? (a) 53 (b) 34 (c) 17 (d) 54
  13. 13.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 27 (b) 24 (c) 12 (d) 15
  14. 14.What is the average of all the whole numbers from 31 to 43? (a) 37 (b) 12 (c) 38 (d) 6
  15. 15.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 18 (b) 32 (c) 30 (d) 46
  16. 16.What is the average of 48, 55, 78, 78, 61 and 58? (a) 65 (b) 62 (c) 63 (d) 64
  17. 17.What is the average of all the whole numbers from 13 to 19? (a) 3 (b) 17 (c) 16 (d) 6
  18. 18.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 7 (b) 99 (c) 50 (d) 56
  19. 19.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 41 (b) 24 (c) 78 (d) 61
  20. 20.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 29 (b) 30 (c) 54 (d) 53
  21. 21.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 16 (b) 44 (c) 56 (d) 84
  22. 22.What is the average of 29, 49, 30, 48 and 44? (a) 40 (b) 41 (c) 50 (d) 39
  23. 23.What is the average of all the whole numbers from 38 to 58? (a) 20 (b) 48 (c) 49 (d) 10
  24. 24.What is the average of 34, 40, 38, 45, 35 and 18? (a) 42 (b) 35 (c) 34 (d) 36
  25. 25.What is the average of 28, 43, 58, 29 and 57? (a) 43 (b) 45 (c) 42 (d) 44
  26. 26.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 25? (a) 25 (b) 55 (c) 35 (d) 30
  27. 27.What is the average of 63, 69, 86, 66, 64 and 78? (a) 72 (b) 70 (c) 73 (d) 71
  28. 28.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 69 (b) 30 (c) 51 (d) 45
  29. 29.What is the average of 29, 37, 50, 34 and 40? (a) 39 (b) 38 (c) 37 (d) 40
  30. 30.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 24 (b) 52 (c) 59 (d) 31
  31. 31.What is the average of 7, 8, 27, 16 and 52? (a) 24 (b) 23 (c) 21 (d) 22
  32. 32.What is the average of 22, 37, 17, 31 and 23? (a) 25 (b) 26 (c) 27 (d) 28
  33. 33.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 15 (b) 41 (c) 20 (d) 14
  34. 34.What is the average of all the whole numbers from 54 to 82? (a) 28 (b) 14 (c) 69 (d) 68
  35. 35.What is the average of 45, 36, 42, 62 and 65? (a) 51 (b) 49 (c) 50 (d) 52
  36. 36.What is the average of 66, 81, 94, 85, 65 and 83? (a) 81 (b) 79 (c) 78 (d) 80
  37. 37.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 43 (c) 71 (d) 36
  38. 38.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 54 (b) 37 (c) 43 (d) 85
  39. 39.What is the average of 38, 36, 40, 15, 19 and 8? (a) 27 (b) 25 (c) 28 (d) 26
  40. 40.What is the average of 88, 90, 65, 88, 69 and 50? (a) 76 (b) 90 (c) 74 (d) 75

Answer key

  1. 64
  2. 44
  3. 32
  4. 31
  5. 67
  6. 20
  7. 46
  8. 20
  9. 47
  10. 28
  11. 40
  12. 53
  13. 24
  14. 37
  15. 46
  16. 63
  17. 16
  18. 56
  19. 61
  20. 54
  21. 56
  22. 40
  23. 48
  24. 35
  25. 43
  26. 55
  27. 71
  28. 69
  29. 38
  30. 52
  31. 22
  32. 26
  33. 14
  34. 68
  35. 50
  36. 79
  37. 71
  38. 85
  39. 26
  40. 75

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