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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 321 · 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 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 12 (b) 41 (c) 50 (d) 44
  2. 2.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 37 (b) 49 (c) 70 (d) 16
  3. 3.What is the average of all the whole numbers from 48 to 58? (a) 54 (b) 53 (c) 5 (d) 10
  4. 4.What is the average of all the whole numbers from 39 to 45? (a) 43 (b) 42 (c) 3 (d) 6
  5. 5.What is the average of 46, 44, 30, 33, 33 and 24? (a) 36 (b) 34 (c) 42 (d) 35
  6. 6.What is the average of all the whole numbers from 18 to 24? (a) 6 (b) 3 (c) 22 (d) 21
  7. 7.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 67 (b) 39 (c) 35 (d) 46
  8. 8.What is the average of all the whole numbers from 41 to 49? (a) 46 (b) 8 (c) 45 (d) 4
  9. 9.What is the average of 20, 20, 20 and 68? (a) 31 (b) 34 (c) 33 (d) 32
  10. 10.What is the average of 57, 61, 59, 65, 72 and 34? (a) 59 (b) 58 (c) 60 (d) 57
  11. 11.What is the average of all the whole numbers from 36 to 54? (a) 18 (b) 46 (c) 45 (d) 9
  12. 12.What is the average of 61, 78, 78 and 59? (a) 92 (b) 68 (c) 69 (d) 70
  13. 13.What is the average of 41, 34, 25, 39, 37 and 64? (a) 39 (b) 41 (c) 40 (d) 48
  14. 14.What is the average of all the whole numbers from 13 to 41? (a) 28 (b) 26 (c) 14 (d) 27
  15. 15.What is the average of 41, 46, 41, 52 and 30? (a) 44 (b) 42 (c) 43 (d) 41
  16. 16.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 44? (a) 80 (b) 42 (c) 44 (d) 50
  17. 17.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 25? (a) 24 (b) 45 (c) 25 (d) 29
  18. 18.What is the average of 76, 85, 87, 86 and 31? (a) 72 (b) 73 (c) 75 (d) 74
  19. 19.What is the average of 49, 53, 42, 32 and 49? (a) 45 (b) 47 (c) 46 (d) 44
  20. 20.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 45? (a) 51 (b) 99 (c) 60 (d) 45
  21. 21.What is the average of all the whole numbers from 7 to 45? (a) 27 (b) 38 (c) 26 (d) 19
  22. 22.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 90 (c) 56 (d) 50
  23. 23.What is the average of 75, 71, 90 and 76? (a) 78 (b) 104 (c) 79 (d) 77
  24. 24.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 99 (b) 33 (c) 48 (d) 34
  25. 25.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 103 (b) 49 (c) 24 (d) 25
  26. 26.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 86 (b) 30 (c) 66 (d) 61
  27. 27.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 71 (b) 41 (c) 47 (d) 36
  28. 28.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 32 (b) 58 (c) 74 (d) 50
  29. 29.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 1 (b) 35 (c) 16 (d) 2
  30. 30.What is the average of all the whole numbers from 18 to 38? (a) 10 (b) 28 (c) 29 (d) 20
  31. 31.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 40 (b) 55 (c) 63 (d) 87
  32. 32.What is the average of 54, 59, 65 and 46? (a) 55 (b) 58 (c) 57 (d) 56
  33. 33.What is the average of 54, 53, 67 and 98? (a) 70 (b) 67 (c) 69 (d) 68
  34. 34.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 26 (b) 8 (c) 9 (d) 55
  35. 35.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 25 (b) 3 (c) 11 (d) 2
  36. 36.What is the average of 64, 60, 56, 57, 67 and 68? (a) 64 (b) 63 (c) 62 (d) 61
  37. 37.What is the average of all the whole numbers from 51 to 71? (a) 10 (b) 61 (c) 62 (d) 20
  38. 38.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 65 (b) 27 (c) 41 (d) 44
  39. 39.What is the average of 49, 27, 53, 32 and 34? (a) 39 (b) 38 (c) 41 (d) 40
  40. 40.What is the average of 55, 57, 60 and 100? (a) 69 (b) 68 (c) 70 (d) 67

Answer key

  1. 50
  2. 49
  3. 53
  4. 42
  5. 35
  6. 21
  7. 67
  8. 45
  9. 32
  10. 58
  11. 45
  12. 69
  13. 40
  14. 27
  15. 42
  16. 80
  17. 45
  18. 73
  19. 45
  20. 99
  21. 26
  22. 90
  23. 78
  24. 33
  25. 24
  26. 86
  27. 71
  28. 74
  29. 1
  30. 28
  31. 87
  32. 56
  33. 68
  34. 8
  35. 2
  36. 62
  37. 61
  38. 65
  39. 39
  40. 68

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