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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 490 · 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.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 46 (b) 50 (c) 91 (d) 5
  2. 2.What is the average of 11, 13, 34, 36, 22 and 40? (a) 25 (b) 27 (c) 26 (d) 28
  3. 3.What is the average of all the whole numbers from 39 to 51? (a) 6 (b) 12 (c) 46 (d) 45
  4. 4.What is the average of 30, 43, 46 and 37? (a) 52 (b) 38 (c) 40 (d) 39
  5. 5.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 28 (b) 49 (c) 24 (d) 53
  6. 6.What is the average of 77, 68, 63, 55, 75 and 34? (a) 61 (b) 64 (c) 62 (d) 63
  7. 7.What is the average of 61, 74, 68, 70 and 42? (a) 65 (b) 64 (c) 63 (d) 62
  8. 8.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 56 (b) 32 (c) 30 (d) 29
  9. 9.What is the average of all the whole numbers from 13 to 23? (a) 10 (b) 19 (c) 5 (d) 18
  10. 10.What is the average of all the whole numbers from 29 to 39? (a) 35 (b) 10 (c) 34 (d) 5
  11. 11.What is the average of all the whole numbers from 46 to 84? (a) 38 (b) 19 (c) 66 (d) 65
  12. 12.What is the average of 36, 47, 19, 25 and 33? (a) 33 (b) 40 (c) 32 (d) 31
  13. 13.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 83 (b) 51 (c) 36 (d) 55
  14. 14.What is the average of all the whole numbers from 42 to 80? (a) 62 (b) 19 (c) 38 (d) 61
  15. 15.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 53 (c) 77 (d) 32
  16. 16.What is the average of 31, 48, 42 and 43? (a) 40 (b) 42 (c) 43 (d) 41
  17. 17.What is the average of 27, 23, 24, 31, 20 and 73? (a) 32 (b) 34 (c) 33 (d) 35
  18. 18.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 52 (b) 32 (c) 30 (d) 27
  19. 19.What is the average of 65, 76, 78 and 49? (a) 68 (b) 67 (c) 66 (d) 69
  20. 20.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 58 (b) 21 (c) 40 (d) 77
  21. 21.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 36 (b) 12 (c) 69 (d) 45
  22. 22.What is the average of 52, 23, 28 and 49? (a) 40 (b) 37 (c) 39 (d) 38
  23. 23.What is the average of all the whole numbers from 8 to 38? (a) 30 (b) 24 (c) 15 (d) 23
  24. 24.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) 55 (b) 26 (c) 8 (d) 9
  25. 25.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 65? (a) 60 (b) 65 (c) 71 (d) 119
  26. 26.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 23 (b) 15 (c) 28 (d) 10
  27. 27.What is the average of 31, 48, 43, 48 and 50? (a) 44 (b) 55 (c) 45 (d) 43
  28. 28.What is the average of 23, 28, 24, 6 and 19? (a) 25 (b) 19 (c) 20 (d) 21
  29. 29.What is the average of 56, 57, 57 and 94? (a) 65 (b) 67 (c) 66 (d) 88
  30. 30.What is the average of all the whole numbers from 28 to 34? (a) 3 (b) 32 (c) 31 (d) 6
  31. 31.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 44 (c) 56 (d) 16
  32. 32.What is the average of 34, 17, 33, 29 and 17? (a) 25 (b) 27 (c) 28 (d) 26
  33. 33.What is the average of all the whole numbers from 9 to 43? (a) 34 (b) 26 (c) 17 (d) 27
  34. 34.What is the average of all the whole numbers from 49 to 73? (a) 24 (b) 12 (c) 61 (d) 62
  35. 35.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 24 (b) 55 (c) 52 (d) 73
  36. 36.What is the average of all the whole numbers from 10 to 16? (a) 3 (b) 6 (c) 14 (d) 13
  37. 37.What is the average of 83, 84, 70 and 51? (a) 96 (b) 73 (c) 72 (d) 71
  38. 38.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 50 (b) 104 (c) 26 (d) 27
  39. 39.What is the average of 22, 9, 28 and 37? (a) 23 (b) 25 (c) 24 (d) 32
  40. 40.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) 56 (c) 72 (d) 48

Answer key

  1. 50
  2. 26
  3. 45
  4. 39
  5. 49
  6. 62
  7. 63
  8. 56
  9. 18
  10. 34
  11. 65
  12. 32
  13. 83
  14. 61
  15. 77
  16. 41
  17. 33
  18. 52
  19. 67
  20. 58
  21. 45
  22. 38
  23. 23
  24. 8
  25. 119
  26. 23
  27. 44
  28. 20
  29. 66
  30. 31
  31. 56
  32. 26
  33. 26
  34. 61
  35. 73
  36. 13
  37. 72
  38. 26
  39. 24
  40. 72

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