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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 239 · 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 22, 51, 52, 30 and 30? (a) 37 (b) 38 (c) 39 (d) 36
  2. 2.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 53 (b) 28 (c) 18 (d) 43
  3. 3.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 41 (b) 61 (c) 78 (d) 24
  4. 4.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 15 (b) 14 (c) 49 (d) 23
  5. 5.What is the average of 72, 53, 65, 70 and 40? (a) 61 (b) 75 (c) 60 (d) 59
  6. 6.What is the average of 43, 65, 63, 67, 58 and 34? (a) 54 (b) 66 (c) 55 (d) 56
  7. 7.What is the average of all the whole numbers from 29 to 65? (a) 18 (b) 36 (c) 48 (d) 47
  8. 8.What is the average of all the whole numbers from 36 to 74? (a) 38 (b) 55 (c) 56 (d) 19
  9. 9.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 54 (b) 30 (c) 38 (d) 32
  10. 10.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 33 (b) 63 (c) 40 (d) 28
  11. 11.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 31 (b) 23 (c) 65 (d) 22
  12. 12.What is the average of all the whole numbers from 47 to 63? (a) 8 (b) 55 (c) 16 (d) 56
  13. 13.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 31 (b) 42 (c) 30 (d) 88
  14. 14.What is the average of 25, 33, 27, 42 and 33? (a) 40 (b) 31 (c) 32 (d) 33
  15. 15.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 42 (b) 44 (c) 51 (d) 79
  16. 16.What is the average of 55, 64, 69, 70, 55 and 59? (a) 64 (b) 61 (c) 62 (d) 63
  17. 17.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 23 (b) 44 (c) 29 (d) 8
  18. 18.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 19 (b) 33 (c) 44 (d) 30
  19. 19.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 62 (b) 28 (c) 58 (d) 82
  20. 20.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 25 (b) 31 (c) 26 (d) 63
  21. 21.What is the average of 18, 22, 31 and 37? (a) 28 (b) 26 (c) 27 (d) 36
  22. 22.What is the average of 63, 78, 66 and 61? (a) 67 (b) 69 (c) 66 (d) 68
  23. 23.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 50? (a) 114 (b) 72 (c) 50 (d) 58
  24. 24.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 61 (b) 96 (c) 54 (d) 49
  25. 25.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) 22 (b) 8 (c) 18 (d) 12
  26. 26.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 84 (b) 29 (c) 30 (d) 41
  27. 27.What is the average of all the whole numbers from 12 to 28? (a) 21 (b) 16 (c) 20 (d) 8
  28. 28.What is the average of all the whole numbers from 49 to 89? (a) 40 (b) 70 (c) 20 (d) 69
  29. 29.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 99 (b) 48 (c) 63 (d) 57
  30. 30.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 33 (b) 39 (c) 30 (d) 12
  31. 31.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 43 (b) 93 (c) 42 (d) 46
  32. 32.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 75 (b) 43 (c) 40 (d) 51
  33. 33.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 46 (c) 38 (d) 12
  34. 34.What is the average of 23, 35, 12 and 38? (a) 26 (b) 36 (c) 28 (d) 27
  35. 35.What is the average of all the whole numbers from 33 to 43? (a) 39 (b) 38 (c) 10 (d) 5
  36. 36.What is the average of 20, 15, 30, 19, 39 and 57? (a) 31 (b) 29 (c) 30 (d) 36
  37. 37.What is the average of all the whole numbers from 9 to 41? (a) 16 (b) 26 (c) 25 (d) 32
  38. 38.What is the average of all the whole numbers from 44 to 54? (a) 50 (b) 10 (c) 5 (d) 49
  39. 39.What is the average of 17, 18, 44 and 45? (a) 33 (b) 30 (c) 31 (d) 32
  40. 40.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 20 (b) 51 (c) 49 (d) 67

Answer key

  1. 37
  2. 43
  3. 61
  4. 14
  5. 60
  6. 55
  7. 47
  8. 55
  9. 54
  10. 63
  11. 22
  12. 55
  13. 30
  14. 32
  15. 79
  16. 62
  17. 29
  18. 44
  19. 82
  20. 25
  21. 27
  22. 67
  23. 114
  24. 96
  25. 18
  26. 29
  27. 20
  28. 69
  29. 99
  30. 39
  31. 42
  32. 75
  33. 46
  34. 27
  35. 38
  36. 30
  37. 25
  38. 49
  39. 31
  40. 67

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