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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 28 · 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 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 97 (b) 65 (c) 73 (d) 40
  2. 2.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 50 (b) 57 (c) 8 (d) 99
  3. 3.What is the average of 32, 16, 45 and 27? (a) 30 (b) 40 (c) 31 (d) 29
  4. 4.What is the average of 39, 54, 37, 40 and 60? (a) 48 (b) 47 (c) 46 (d) 45
  5. 5.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 40 (b) 43 (c) 47 (d) 79
  6. 6.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 103 (b) 49 (c) 55 (d) 60
  7. 7.What is the average of all the whole numbers from 47 to 57? (a) 52 (b) 10 (c) 53 (d) 5
  8. 8.What is the average of all the whole numbers from 39 to 47? (a) 4 (b) 8 (c) 44 (d) 43
  9. 9.What is the average of 35, 56, 57, 46, 35 and 23? (a) 44 (b) 41 (c) 43 (d) 42
  10. 10.What is the average of all the whole numbers from 44 to 82? (a) 64 (b) 63 (c) 38 (d) 19
  11. 11.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 76 (b) 17 (c) 16 (d) 36
  12. 12.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 43 (b) 45 (c) 78 (d) 38
  13. 13.What is the average of 62, 51, 68, 45 and 69? (a) 58 (b) 59 (c) 61 (d) 60
  14. 14.What is the average of all the whole numbers from 45 to 71? (a) 26 (b) 13 (c) 58 (d) 59
  15. 15.What is the average of all the whole numbers from 37 to 73? (a) 18 (b) 36 (c) 56 (d) 55
  16. 16.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 31 (b) 36 (c) 73 (d) 32
  17. 17.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 49? (a) 55 (b) 91 (c) 49 (d) 48
  18. 18.What is the average of all the whole numbers from 11 to 17? (a) 15 (b) 14 (c) 6 (d) 3
  19. 19.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 28 (b) 35 (c) 18 (d) 11
  20. 20.What is the average of all the whole numbers from 47 to 69? (a) 22 (b) 11 (c) 59 (d) 58
  21. 21.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 28 (b) 24 (c) 23 (d) 57
  22. 22.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 28? (a) 46 (b) 31 (c) 21 (d) 28
  23. 23.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 53 (b) 18 (c) 38 (d) 73
  24. 24.What is the average of 28, 34, 38 and 52? (a) 39 (b) 38 (c) 37 (d) 40
  25. 25.What is the average of all the whole numbers from 58 to 72? (a) 14 (b) 65 (c) 66 (d) 7
  26. 26.What is the average of 47, 51, 43, 58, 58 and 37? (a) 50 (b) 48 (c) 51 (d) 49
  27. 27.What is the average of 44, 30, 26 and 28? (a) 31 (b) 33 (c) 32 (d) 34
  28. 28.What is the average of all the whole numbers from 33 to 71? (a) 53 (b) 52 (c) 38 (d) 19
  29. 29.What is the average of all the whole numbers from 24 to 64? (a) 40 (b) 45 (c) 44 (d) 20
  30. 30.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 18 (c) 68 (d) 56
  31. 31.What is the average of all the whole numbers from 21 to 35? (a) 29 (b) 7 (c) 28 (d) 14
  32. 32.What is the average of 42, 27, 33, 37, 20 and 21? (a) 31 (b) 29 (c) 30 (d) 36
  33. 33.What is the average of 17, 22, 19, 26, 36 and 30? (a) 30 (b) 26 (c) 25 (d) 24
  34. 34.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 25 (b) 26 (c) 39 (d) 80
  35. 35.What is the average of all the whole numbers from 8 to 46? (a) 19 (b) 28 (c) 27 (d) 38
  36. 36.What is the average of 27, 47, 53 and 41? (a) 41 (b) 42 (c) 56 (d) 43
  37. 37.What is the average of all the whole numbers from 36 to 44? (a) 40 (b) 8 (c) 41 (d) 4
  38. 38.What is the average of all the whole numbers from 52 to 72? (a) 20 (b) 63 (c) 62 (d) 10
  39. 39.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 35 (b) 75 (c) 47 (d) 54
  40. 40.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 66 (b) 65 (c) 40 (d) 35

Answer key

  1. 97
  2. 57
  3. 30
  4. 46
  5. 79
  6. 103
  7. 52
  8. 43
  9. 42
  10. 63
  11. 16
  12. 78
  13. 59
  14. 58
  15. 55
  16. 31
  17. 91
  18. 14
  19. 35
  20. 58
  21. 23
  22. 46
  23. 53
  24. 38
  25. 65
  26. 49
  27. 32
  28. 52
  29. 44
  30. 68
  31. 28
  32. 30
  33. 25
  34. 25
  35. 27
  36. 42
  37. 40
  38. 62
  39. 75
  40. 65

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