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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 925 · 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 4 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 12 (b) 8 (c) 22 (d) 18
  2. 2.What is the average of 29, 32, 28 and 47? (a) 34 (b) 35 (c) 36 (d) 33
  3. 3.What is the average of 63, 58, 86, 72, 76 and 71? (a) 70 (b) 73 (c) 72 (d) 71
  4. 4.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 16 (b) 38 (c) 48 (d) 26
  5. 5.What is the average of 83, 83, 84, 78 and 37? (a) 72 (b) 74 (c) 75 (d) 73
  6. 6.What is the average of 63, 62, 81 and 62? (a) 69 (b) 67 (c) 68 (d) 66
  7. 7.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 54 (b) 97 (c) 48 (d) 96
  8. 8.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 58 (b) 70 (c) 55 (d) 18
  9. 9.What is the average of 14, 21, 15 and 50? (a) 27 (b) 24 (c) 26 (d) 25
  10. 10.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 40 (b) 59 (c) 64 (d) 94
  11. 11.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 58 (b) 14 (c) 46 (d) 90
  12. 12.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 13 (b) 25 (c) 23 (d) 15
  13. 13.What is the average of all the whole numbers from 28 to 58? (a) 30 (b) 15 (c) 43 (d) 44
  14. 14.What is the average of all the whole numbers from 32 to 38? (a) 6 (b) 35 (c) 3 (d) 36
  15. 15.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 44 (c) 25 (d) 59
  16. 16.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 32 (c) 65 (d) 89
  17. 17.What is the average of 66, 67, 83 and 80? (a) 75 (b) 76 (c) 73 (d) 74
  18. 18.What is the average of all the whole numbers from 52 to 82? (a) 30 (b) 68 (c) 15 (d) 67
  19. 19.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 72 (b) 35 (c) 65 (d) 93
  20. 20.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 35 (b) 44 (c) 37 (d) 65
  21. 21.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 96 (b) 60 (c) 48 (d) 42
  22. 22.What is the average of all the whole numbers from 19 to 31? (a) 12 (b) 26 (c) 25 (d) 6
  23. 23.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 35 (b) 69 (c) 8 (d) 42
  24. 24.What is the average of all the whole numbers from 46 to 58? (a) 6 (b) 12 (c) 53 (d) 52
  25. 25.What is the average of all the whole numbers from 11 to 33? (a) 11 (b) 22 (c) 21 (d) 23
  26. 26.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 27 (b) 35 (c) 32 (d) 56
  27. 27.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 42 (b) 36 (c) 48 (d) 78
  28. 28.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 98 (b) 10 (c) 50 (d) 58
  29. 29.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 74 (b) 53 (c) 35 (d) 46
  30. 30.What is the average of 60, 79, 64, 64, 78 and 99? (a) 75 (b) 76 (c) 74 (d) 73
  31. 31.What is the average of 52, 54, 58, 62, 54 and 38? (a) 55 (b) 53 (c) 54 (d) 52
  32. 32.What is the average of 57, 71, 56 and 72? (a) 66 (b) 63 (c) 65 (d) 64
  33. 33.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 35 (b) 5 (c) 39 (d) 69
  34. 34.What is the average of all the whole numbers from 57 to 83? (a) 71 (b) 70 (c) 13 (d) 26
  35. 35.What is the average of 69, 67, 63, 76 and 55? (a) 68 (b) 66 (c) 67 (d) 65
  36. 36.What is the average of all the whole numbers from 53 to 75? (a) 22 (b) 64 (c) 11 (d) 65
  37. 37.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 12 (b) 54 (c) 64 (d) 56
  38. 38.What is the average of 44, 45, 68, 59, 60 and 60? (a) 56 (b) 55 (c) 57 (d) 58
  39. 39.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 96 (b) 47 (c) 34 (d) 33
  40. 40.What is the average of all the whole numbers from 18 to 56? (a) 19 (b) 37 (c) 38 (d) 36

Answer key

  1. 18
  2. 34
  3. 71
  4. 38
  5. 73
  6. 67
  7. 96
  8. 70
  9. 25
  10. 94
  11. 58
  12. 25
  13. 43
  14. 35
  15. 59
  16. 89
  17. 74
  18. 67
  19. 93
  20. 65
  21. 96
  22. 25
  23. 42
  24. 52
  25. 22
  26. 56
  27. 78
  28. 58
  29. 74
  30. 74
  31. 53
  32. 64
  33. 39
  34. 70
  35. 66
  36. 64
  37. 64
  38. 56
  39. 33
  40. 37

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