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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 337 · 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 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 67 (b) 42 (c) 31 (d) 37
  2. 2.What is the average of 66, 82, 68 and 96? (a) 79 (b) 78 (c) 104 (d) 77
  3. 3.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 39? (a) 47 (b) 71 (c) 39 (d) 40
  4. 4.What is the average of 56, 52, 71, 70 and 71? (a) 64 (b) 65 (c) 63 (d) 80
  5. 5.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 8 (b) 20 (c) 43 (d) 9
  6. 6.What is the average of 29, 22, 46, 27 and 51? (a) 36 (b) 34 (c) 37 (d) 35
  7. 7.What is the average of all the whole numbers from 48 to 86? (a) 67 (b) 68 (c) 19 (d) 38
  8. 8.What is the average of all the whole numbers from 31 to 39? (a) 4 (b) 8 (c) 36 (d) 35
  9. 9.What is the average of 11, 23, 21, 24 and 46? (a) 25 (b) 26 (c) 27 (d) 24
  10. 10.What is the average of all the whole numbers from 60 to 92? (a) 77 (b) 76 (c) 32 (d) 16
  11. 11.What is the average of 35, 34, 34 and 41? (a) 35 (b) 37 (c) 36 (d) 48
  12. 12.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 77 (b) 53 (c) 61 (d) 32
  13. 13.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 21 (b) 11 (c) 6 (d) 16
  14. 14.What is the average of 32, 12, 35, 29, 37 and 11? (a) 25 (b) 27 (c) 28 (d) 26
  15. 15.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 18 (b) 34 (c) 12 (d) 28
  16. 16.What is the average of 52, 48, 42, 54, 44 and 24? (a) 46 (b) 43 (c) 45 (d) 44
  17. 17.What is the average of all the whole numbers from 41 to 73? (a) 57 (b) 58 (c) 16 (d) 32
  18. 18.What is the average of all the whole numbers from 34 to 48? (a) 7 (b) 41 (c) 42 (d) 14
  19. 19.What is the average of 22, 19, 13, 21, 17 and 52? (a) 23 (b) 25 (c) 26 (d) 24
  20. 20.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 10 (b) 29 (c) 11 (d) 14
  21. 21.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 18 (b) 39 (c) 24 (d) 45
  22. 22.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 43 (b) 84 (c) 53 (d) 12
  23. 23.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 49 (b) 24 (c) 70 (d) 95
  24. 24.What is the average of all the whole numbers from 55 to 77? (a) 22 (b) 11 (c) 67 (d) 66
  25. 25.What is the average of all the whole numbers from 32 to 72? (a) 40 (b) 52 (c) 20 (d) 53
  26. 26.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 86 (b) 35 (c) 65 (d) 58
  27. 27.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 65 (b) 26 (c) 32 (d) 27
  28. 28.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 57 (b) 47 (c) 42 (d) 20
  29. 29.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 8 (b) 15 (c) 7 (d) 32
  30. 30.What is the average of 84, 79, 93, 85 and 59? (a) 81 (b) 80 (c) 100 (d) 79
  31. 31.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 40 (c) 60 (d) 88
  32. 32.What is the average of all the whole numbers from 44 to 76? (a) 32 (b) 16 (c) 61 (d) 60
  33. 33.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) 20 (b) 50 (c) 95 (d) 65
  34. 34.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 54 (b) 25 (c) 34 (d) 39
  35. 35.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 76 (b) 37 (c) 30 (d) 29
  36. 36.What is the average of all the whole numbers from 11 to 39? (a) 26 (b) 14 (c) 25 (d) 28
  37. 37.What is the average of all the whole numbers from 11 to 45? (a) 17 (b) 34 (c) 29 (d) 28
  38. 38.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 35 (b) 52 (c) 59 (d) 80
  39. 39.What is the average of all the whole numbers from 60 to 86? (a) 74 (b) 26 (c) 73 (d) 13
  40. 40.What is the average of all the whole numbers from 16 to 32? (a) 8 (b) 16 (c) 25 (d) 24

Answer key

  1. 67
  2. 78
  3. 71
  4. 64
  5. 8
  6. 35
  7. 67
  8. 35
  9. 25
  10. 76
  11. 36
  12. 77
  13. 16
  14. 26
  15. 28
  16. 44
  17. 57
  18. 41
  19. 24
  20. 10
  21. 39
  22. 53
  23. 70
  24. 66
  25. 52
  26. 86
  27. 26
  28. 57
  29. 7
  30. 80
  31. 88
  32. 60
  33. 65
  34. 54
  35. 29
  36. 25
  37. 28
  38. 80
  39. 73
  40. 24

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