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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 620 · 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 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 59 (c) 35 (d) 27
  2. 2.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 26 (b) 30 (c) 51 (d) 5
  3. 3.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 55 (c) 64 (d) 15
  4. 4.What is the average of all the whole numbers from 19 to 31? (a) 26 (b) 6 (c) 25 (d) 12
  5. 5.What is the average of 44, 54, 62 and 56? (a) 53 (b) 55 (c) 54 (d) 72
  6. 6.What is the average of 87, 75, 68 and 74? (a) 75 (b) 77 (c) 76 (d) 78
  7. 7.What is the average of 24, 21, 22, 33 and 45? (a) 28 (b) 30 (c) 31 (d) 29
  8. 8.What is the average of all the whole numbers from 40 to 46? (a) 43 (b) 3 (c) 44 (d) 6
  9. 9.What is the average of 11, 18, 16, 8 and 52? (a) 22 (b) 23 (c) 20 (d) 21
  10. 10.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 52 (c) 84 (d) 48
  11. 11.What is the average of 38, 26, 29 and 63? (a) 52 (b) 40 (c) 39 (d) 38
  12. 12.What is the average of 80, 66, 77, 81, 66 and 74? (a) 74 (b) 76 (c) 73 (d) 75
  13. 13.What is the average of 93, 75, 69 and 75? (a) 79 (b) 77 (c) 104 (d) 78
  14. 14.What is the average of 38, 31, 16 and 23? (a) 36 (b) 27 (c) 26 (d) 28
  15. 15.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 49 (b) 35 (c) 16 (d) 68
  16. 16.What is the average of 73, 76, 95 and 76? (a) 82 (b) 79 (c) 81 (d) 80
  17. 17.What is the average of all the whole numbers from 40 to 64? (a) 12 (b) 52 (c) 53 (d) 24
  18. 18.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 16 (b) 37 (c) 72 (d) 51
  19. 19.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 25 (b) 51 (c) 22 (d) 21
  20. 20.What is the average of 61, 75, 60 and 88? (a) 73 (b) 72 (c) 71 (d) 70
  21. 21.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 92 (c) 91 (d) 56
  22. 22.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 41 (b) 36 (c) 65 (d) 35
  23. 23.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 25 (b) 9 (c) 10 (d) 54
  24. 24.What is the average of all the whole numbers from 23 to 59? (a) 42 (b) 18 (c) 36 (d) 41
  25. 25.What is the average of 22, 22, 27, 32 and 12? (a) 22 (b) 24 (c) 23 (d) 25
  26. 26.What is the average of 51, 54, 41, 29 and 20? (a) 40 (b) 41 (c) 38 (d) 39
  27. 27.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 30 (b) 58 (c) 82 (d) 55
  28. 28.What is the average of all the whole numbers from 22 to 50? (a) 14 (b) 36 (c) 28 (d) 37
  29. 29.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 45 (b) 73 (c) 36 (d) 41
  30. 30.What is the average of 40, 14, 23, 19 and 39? (a) 29 (b) 26 (c) 27 (d) 28
  31. 31.What is the average of all the whole numbers from 57 to 95? (a) 76 (b) 38 (c) 77 (d) 19
  32. 32.What is the average of all the whole numbers from 33 to 45? (a) 40 (b) 39 (c) 12 (d) 6
  33. 33.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 22 (b) 8 (c) 49 (d) 7
  34. 34.What is the average of all the whole numbers from 15 to 47? (a) 16 (b) 32 (c) 30 (d) 31
  35. 35.What is the average of 78, 85, 70, 65 and 92? (a) 78 (b) 79 (c) 80 (d) 77
  36. 36.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 56 (c) 28 (d) 54
  37. 37.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 33 (c) 81 (d) 60
  38. 38.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 42 (b) 16 (c) 80 (d) 54
  39. 39.What is the average of 17, 13, 40 and 34? (a) 26 (b) 27 (c) 28 (d) 25
  40. 40.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 49 (b) 32 (c) 31 (d) 101

Answer key

  1. 59
  2. 30
  3. 64
  4. 25
  5. 54
  6. 76
  7. 29
  8. 43
  9. 21
  10. 84
  11. 39
  12. 74
  13. 78
  14. 27
  15. 49
  16. 80
  17. 52
  18. 51
  19. 21
  20. 71
  21. 91
  22. 65
  23. 9
  24. 41
  25. 23
  26. 39
  27. 82
  28. 36
  29. 73
  30. 27
  31. 76
  32. 39
  33. 7
  34. 31
  35. 78
  36. 54
  37. 81
  38. 54
  39. 26
  40. 31

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