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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 165 · 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 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 40 (b) 87 (c) 55 (d) 51
  2. 2.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 40 (b) 78 (c) 10 (d) 48
  3. 3.What is the average of 48, 42, 41 and 65? (a) 51 (b) 49 (c) 48 (d) 50
  4. 4.What is the average of 57, 51, 53, 55 and 74? (a) 58 (b) 57 (c) 60 (d) 59
  5. 5.What is the average of 80, 70, 58, 63, 66 and 53? (a) 66 (b) 65 (c) 64 (d) 78
  6. 6.What is the average of 73, 67, 77 and 91? (a) 76 (b) 77 (c) 78 (d) 79
  7. 7.What is the average of all the whole numbers from 27 to 33? (a) 6 (b) 3 (c) 30 (d) 31
  8. 8.What is the average of 52, 66, 50 and 68? (a) 58 (b) 59 (c) 60 (d) 61
  9. 9.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 47 (b) 44 (c) 18 (d) 59
  10. 10.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 22 (b) 23 (c) 36 (d) 74
  11. 11.What is the average of 80, 84, 68, 64 and 89? (a) 76 (b) 79 (c) 77 (d) 78
  12. 12.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 48 (b) 54 (c) 26 (d) 32
  13. 13.What is the average of 13, 30, 34 and 11? (a) 23 (b) 21 (c) 22 (d) 24
  14. 14.What is the average of all the whole numbers from 38 to 72? (a) 56 (b) 17 (c) 34 (d) 55
  15. 15.What is the average of all the whole numbers from 54 to 80? (a) 68 (b) 26 (c) 67 (d) 13
  16. 16.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 5 (b) 55 (c) 32 (d) 28
  17. 17.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 71 (b) 36 (c) 49 (d) 29
  18. 18.What is the average of all the whole numbers from 13 to 23? (a) 5 (b) 19 (c) 18 (d) 10
  19. 19.What is the average of 44, 64, 49, 34, 42 and 61? (a) 48 (b) 50 (c) 51 (d) 49
  20. 20.What is the average of 63, 68, 68 and 21? (a) 54 (b) 57 (c) 56 (d) 55
  21. 21.What is the average of 52, 61, 73 and 50? (a) 61 (b) 58 (c) 60 (d) 59
  22. 22.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 11 (b) 25 (c) 17 (d) 31
  23. 23.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 10 (b) 23 (c) 44 (d) 31
  24. 24.What is the average of 53, 61, 39 and 31? (a) 47 (b) 45 (c) 48 (d) 46
  25. 25.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 23 (b) 37 (c) 76 (d) 24
  26. 26.What is the average of 64, 62, 40, 65, 58 and 41? (a) 54 (b) 66 (c) 55 (d) 56
  27. 27.What is the average of 27, 42, 35, 15, 20 and 23? (a) 27 (b) 29 (c) 28 (d) 26
  28. 28.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 42 (b) 48 (c) 43 (d) 98
  29. 29.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 20 (b) 42 (c) 8 (d) 9
  30. 30.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 59 (c) 24 (d) 41
  31. 31.What is the average of 54, 66, 60, 51 and 99? (a) 67 (b) 65 (c) 68 (d) 66
  32. 32.What is the average of all the whole numbers from 17 to 33? (a) 26 (b) 16 (c) 25 (d) 8
  33. 33.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 41 (b) 91 (c) 40 (d) 45
  34. 34.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 27 (b) 80 (c) 38 (d) 26
  35. 35.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 28 (b) 78 (c) 41 (d) 65
  36. 36.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 38 (c) 50 (d) 78
  37. 37.What is the average of all the whole numbers from 54 to 64? (a) 59 (b) 10 (c) 5 (d) 60
  38. 38.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 38 (b) 30 (c) 12 (d) 28
  39. 39.What is the average of all the whole numbers from 25 to 53? (a) 14 (b) 40 (c) 39 (d) 28
  40. 40.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 66 (b) 58 (c) 54 (d) 16

Answer key

  1. 87
  2. 48
  3. 49
  4. 58
  5. 65
  6. 77
  7. 30
  8. 59
  9. 59
  10. 22
  11. 77
  12. 54
  13. 22
  14. 55
  15. 67
  16. 32
  17. 71
  18. 18
  19. 49
  20. 55
  21. 59
  22. 31
  23. 31
  24. 46
  25. 23
  26. 55
  27. 27
  28. 42
  29. 8
  30. 59
  31. 66
  32. 25
  33. 40
  34. 26
  35. 65
  36. 78
  37. 59
  38. 38
  39. 39
  40. 66

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