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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 480 · 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 7 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 28 (b) 30 (c) 14 (d) 16
  2. 2.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 40? (a) 76 (b) 40 (c) 77 (d) 44
  3. 3.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 24 (c) 60 (d) 48
  4. 4.What is the average of 61, 62, 83, 62 and 102? (a) 73 (b) 74 (c) 76 (d) 75
  5. 5.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 16 (b) 42 (c) 30 (d) 56
  6. 6.What is the average of 44, 49, 29 and 46? (a) 43 (b) 42 (c) 41 (d) 56
  7. 7.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 14 (b) 61 (c) 28 (d) 13
  8. 8.What is the average of all the whole numbers from 22 to 44? (a) 22 (b) 34 (c) 33 (d) 11
  9. 9.What is the average of all the whole numbers from 33 to 69? (a) 51 (b) 52 (c) 36 (d) 18
  10. 10.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 39 (b) 51 (c) 14 (d) 76
  11. 11.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 31 (b) 6 (c) 61 (d) 36
  12. 12.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 20 (b) 47 (c) 21 (d) 23
  13. 13.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 57 (c) 20 (d) 69
  14. 14.What is the average of 30, 30, 10 and 14? (a) 22 (b) 28 (c) 20 (d) 21
  15. 15.What is the average of 74, 72, 62, 65, 65 and 82? (a) 71 (b) 84 (c) 70 (d) 69
  16. 16.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 62 (c) 14 (d) 72
  17. 17.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 37 (b) 35 (c) 10 (d) 43
  18. 18.What is the average of 11, 10, 10, 15 and 69? (a) 22 (b) 24 (c) 23 (d) 25
  19. 19.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 44 (b) 48 (c) 5 (d) 87
  20. 20.What is the average of 31, 23, 37 and 61? (a) 40 (b) 37 (c) 38 (d) 39
  21. 21.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 49 (b) 99 (c) 43 (d) 42
  22. 22.What is the average of 15, 25, 22 and 42? (a) 25 (b) 26 (c) 28 (d) 27
  23. 23.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 63 (b) 34 (c) 90 (d) 41
  24. 24.What is the average of 66, 74, 77, 69 and 79? (a) 75 (b) 72 (c) 74 (d) 73
  25. 25.What is the average of 21, 48, 30, 29, 31 and 51? (a) 34 (b) 36 (c) 42 (d) 35
  26. 26.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 32 (b) 39 (c) 63 (d) 35
  27. 27.What is the average of 54, 31, 28 and 59? (a) 44 (b) 42 (c) 45 (d) 43
  28. 28.What is the average of 22, 19, 33, 29, 24 and 5? (a) 23 (b) 24 (c) 22 (d) 21
  29. 29.What is the average of 72, 82, 76, 79, 91 and 62? (a) 76 (b) 77 (c) 79 (d) 78
  30. 30.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 19 (b) 34 (c) 47 (d) 32
  31. 31.What is the average of all the whole numbers from 21 to 39? (a) 18 (b) 30 (c) 31 (d) 9
  32. 32.What is the average of 49, 38, 39, 53 and 46? (a) 47 (b) 45 (c) 46 (d) 44
  33. 33.What is the average of 11, 16, 18 and 39? (a) 20 (b) 22 (c) 28 (d) 21
  34. 34.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 47 (b) 41 (c) 40 (d) 95
  35. 35.What is the average of all the whole numbers from 6 to 38? (a) 16 (b) 22 (c) 32 (d) 23
  36. 36.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 55 (b) 29 (c) 44 (d) 18
  37. 37.What is the average of 39, 60, 53, 33 and 45? (a) 48 (b) 46 (c) 47 (d) 45
  38. 38.What is the average of 30, 18, 31, 20 and 56? (a) 33 (b) 32 (c) 31 (d) 30
  39. 39.What is the average of all the whole numbers from 35 to 65? (a) 15 (b) 51 (c) 50 (d) 30
  40. 40.What is the average of all the whole numbers from 41 to 69? (a) 55 (b) 14 (c) 28 (d) 56

Answer key

  1. 28
  2. 76
  3. 60
  4. 74
  5. 42
  6. 42
  7. 13
  8. 33
  9. 51
  10. 51
  11. 36
  12. 20
  13. 69
  14. 21
  15. 70
  16. 72
  17. 43
  18. 23
  19. 48
  20. 38
  21. 42
  22. 26
  23. 90
  24. 73
  25. 35
  26. 63
  27. 43
  28. 22
  29. 77
  30. 47
  31. 30
  32. 45
  33. 21
  34. 40
  35. 22
  36. 44
  37. 46
  38. 31
  39. 50
  40. 55

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