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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 690 · 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 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 41 (b) 40 (c) 37 (d) 73
  2. 2.What is the average of 80, 65, 69, 73, 90 and 97? (a) 79 (b) 80 (c) 78 (d) 81
  3. 3.What is the average of 35, 42, 52, 49 and 42? (a) 44 (b) 43 (c) 45 (d) 55
  4. 4.What is the average of all the whole numbers from 24 to 38? (a) 7 (b) 14 (c) 31 (d) 32
  5. 5.What is the average of 33, 34, 36 and 49? (a) 37 (b) 38 (c) 39 (d) 40
  6. 6.What is the average of 24, 20, 28 and 40? (a) 27 (b) 30 (c) 28 (d) 29
  7. 7.What is the average of 16, 42, 25 and 37? (a) 40 (b) 29 (c) 30 (d) 31
  8. 8.What is the average of 67, 52, 60, 56 and 30? (a) 52 (b) 54 (c) 53 (d) 55
  9. 9.What is the average of all the whole numbers from 15 to 47? (a) 31 (b) 16 (c) 32 (d) 30
  10. 10.What is the average of 18, 25, 18, 39 and 40? (a) 29 (b) 35 (c) 27 (d) 28
  11. 11.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 13 (b) 10 (c) 4 (d) 19
  12. 12.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 32 (b) 72 (c) 56 (d) 48
  13. 13.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 32 (b) 78 (c) 50 (d) 96
  14. 14.What is the average of all the whole numbers from 7 to 43? (a) 18 (b) 25 (c) 26 (d) 36
  15. 15.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 28 (b) 51 (c) 20 (d) 43
  16. 16.What is the average of all the whole numbers from 27 to 55? (a) 41 (b) 28 (c) 42 (d) 14
  17. 17.What is the average of 72, 57, 78, 56, 84 and 79? (a) 70 (b) 72 (c) 71 (d) 73
  18. 18.What is the average of all the whole numbers from 5 to 21? (a) 13 (b) 14 (c) 8 (d) 16
  19. 19.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 20 (b) 27 (c) 19 (d) 12
  20. 20.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 28 (b) 25 (c) 57 (d) 26
  21. 21.What is the average of all the whole numbers from 38 to 76? (a) 19 (b) 57 (c) 58 (d) 38
  22. 22.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 68? (a) 72 (b) 68 (c) 132 (d) 76
  23. 23.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 85 (b) 35 (c) 75 (d) 45
  24. 24.What is the average of 52, 50, 43 and 67? (a) 53 (b) 54 (c) 55 (d) 52
  25. 25.What is the average of 73, 83, 85 and 59? (a) 75 (b) 100 (c) 76 (d) 74
  26. 26.What is the average of all the whole numbers from 9 to 17? (a) 8 (b) 13 (c) 4 (d) 14
  27. 27.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 8 (b) 37 (c) 43 (d) 72
  28. 28.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 94 (b) 46 (c) 56 (d) 54
  29. 29.What is the average of 80, 73, 80, 60 and 52? (a) 69 (b) 68 (c) 71 (d) 70
  30. 30.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 44 (b) 58 (c) 28 (d) 37
  31. 31.What is the average of all the whole numbers from 16 to 56? (a) 37 (b) 40 (c) 20 (d) 36
  32. 32.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 10 (b) 50 (c) 42 (d) 82
  33. 33.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 33 (b) 27 (c) 57 (d) 36
  34. 34.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 64 (b) 56 (c) 80 (d) 128
  35. 35.What is the average of 51, 58, 49, 60 and 102? (a) 64 (b) 63 (c) 65 (d) 80
  36. 36.What is the average of 62, 63, 68 and 19? (a) 53 (b) 55 (c) 54 (d) 52
  37. 37.What is the average of 42, 40, 21 and 37? (a) 37 (b) 35 (c) 34 (d) 36
  38. 38.What is the average of 35, 19, 30 and 44? (a) 31 (b) 32 (c) 33 (d) 34
  39. 39.What is the average of all the whole numbers from 56 to 92? (a) 18 (b) 36 (c) 75 (d) 74
  40. 40.What is the average of 19, 40, 37, 32, 20 and 56? (a) 36 (b) 33 (c) 34 (d) 35

Answer key

  1. 73
  2. 79
  3. 44
  4. 31
  5. 38
  6. 28
  7. 30
  8. 53
  9. 31
  10. 28
  11. 13
  12. 72
  13. 78
  14. 25
  15. 43
  16. 41
  17. 71
  18. 13
  19. 27
  20. 25
  21. 57
  22. 132
  23. 75
  24. 53
  25. 75
  26. 13
  27. 43
  28. 94
  29. 69
  30. 58
  31. 36
  32. 50
  33. 57
  34. 128
  35. 64
  36. 53
  37. 35
  38. 32
  39. 74
  40. 34

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