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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 50 · 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.What is the average of 38, 14, 11 and 37? (a) 24 (b) 26 (c) 25 (d) 27
  2. 2.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 77 (b) 36 (c) 35 (d) 38
  3. 3.What is the average of all the whole numbers from 5 to 21? (a) 8 (b) 16 (c) 14 (d) 13
  4. 4.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 42 (b) 29 (c) 17 (d) 30
  5. 5.What is the average of all the whole numbers from 48 to 88? (a) 40 (b) 69 (c) 20 (d) 68
  6. 6.What is the average of all the whole numbers from 52 to 66? (a) 14 (b) 7 (c) 60 (d) 59
  7. 7.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 70 (b) 18 (c) 33 (d) 17
  8. 8.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 24 (b) 8 (c) 34 (d) 18
  9. 9.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 52 (b) 44 (c) 40 (d) 76
  10. 10.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 24? (a) 28 (b) 24 (c) 45 (d) 44
  11. 11.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 14 (b) 33 (c) 31 (d) 43
  12. 12.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 76 (b) 34 (c) 40 (d) 48
  13. 13.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 42? (a) 54 (b) 42 (c) 46 (d) 16
  14. 14.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 38 (b) 32 (c) 24 (d) 50
  15. 15.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 40 (b) 65 (c) 33 (d) 8
  16. 16.What is the average of 68, 74, 70, 83 and 100? (a) 81 (b) 78 (c) 79 (d) 80
  17. 17.What is the average of all the whole numbers from 18 to 24? (a) 3 (b) 22 (c) 21 (d) 6
  18. 18.What is the average of 59, 59, 53 and 17? (a) 48 (b) 46 (c) 49 (d) 47
  19. 19.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 32 (b) 70 (c) 65 (d) 37
  20. 20.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 48 (b) 33 (c) 25 (d) 28
  21. 21.What is the average of 49, 47, 31, 30 and 58? (a) 43 (b) 42 (c) 45 (d) 44
  22. 22.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 12 (b) 56 (c) 48 (d) 46
  23. 23.What is the average of all the whole numbers from 39 to 55? (a) 48 (b) 8 (c) 16 (d) 47
  24. 24.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 44 (c) 48 (d) 80
  25. 25.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 36 (b) 49 (c) 77 (d) 45
  26. 26.What is the average of 66, 49, 60, 60, 71 and 66? (a) 63 (b) 64 (c) 62 (d) 61
  27. 27.What is the average of 75, 59, 60 and 74? (a) 68 (b) 69 (c) 66 (d) 67
  28. 28.What is the average of 25, 35, 30 and 58? (a) 38 (b) 37 (c) 39 (d) 36
  29. 29.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 71 (b) 31 (c) 35 (d) 32
  30. 30.What is the average of all the whole numbers from 29 to 57? (a) 28 (b) 14 (c) 44 (d) 43
  31. 31.What is the average of all the whole numbers from 14 to 48? (a) 17 (b) 31 (c) 34 (d) 32
  32. 32.What is the average of 48, 31, 43 and 22? (a) 37 (b) 48 (c) 35 (d) 36
  33. 33.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 39 (b) 33 (c) 60 (d) 87
  34. 34.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 63 (b) 77 (c) 18 (d) 61
  35. 35.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 28 (b) 13 (c) 2 (d) 1
  36. 36.What is the average of 58, 38, 38 and 58? (a) 64 (b) 49 (c) 47 (d) 48
  37. 37.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 35 (b) 12 (c) 17 (d) 11
  38. 38.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 12 (b) 3 (c) 27 (d) 4
  39. 39.What is the average of 56, 56, 75 and 89? (a) 68 (b) 70 (c) 92 (d) 69
  40. 40.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 28 (b) 55 (c) 31 (d) 4

Answer key

  1. 25
  2. 35
  3. 13
  4. 42
  5. 68
  6. 59
  7. 17
  8. 24
  9. 76
  10. 44
  11. 43
  12. 76
  13. 54
  14. 50
  15. 40
  16. 79
  17. 21
  18. 47
  19. 65
  20. 48
  21. 43
  22. 56
  23. 47
  24. 80
  25. 77
  26. 62
  27. 67
  28. 37
  29. 31
  30. 43
  31. 31
  32. 36
  33. 87
  34. 77
  35. 1
  36. 48
  37. 11
  38. 3
  39. 69
  40. 31

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