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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 143 · 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 67, 60, 77, 77 and 69? (a) 70 (b) 72 (c) 71 (d) 69
  2. 2.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 17 (b) 18 (c) 64 (d) 31
  3. 3.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 44 (b) 32 (c) 34 (d) 14
  4. 4.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 93 (b) 45 (c) 37 (d) 64
  5. 5.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 15 (b) 18 (c) 14 (d) 37
  6. 6.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 37 (c) 51 (d) 18
  7. 7.What is the average of all the whole numbers from 17 to 53? (a) 36 (b) 34 (c) 18 (d) 35
  8. 8.What is the average of 65, 80, 89, 68, 64 and 78? (a) 75 (b) 76 (c) 73 (d) 74
  9. 9.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 34? (a) 48 (b) 34 (c) 74 (d) 42
  10. 10.What is the average of 57, 50, 70 and 55? (a) 60 (b) 57 (c) 59 (d) 58
  11. 11.What is the average of 52, 79, 56 and 69? (a) 63 (b) 65 (c) 66 (d) 64
  12. 12.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 24 (b) 50 (c) 66 (d) 46
  13. 13.What is the average of 81, 83, 71, 76, 77 and 74? (a) 78 (b) 76 (c) 79 (d) 77
  14. 14.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 43 (b) 88 (c) 33 (d) 34
  15. 15.What is the average of 21, 31, 49, 36, 42 and 37? (a) 36 (b) 35 (c) 38 (d) 37
  16. 16.What is the average of 73, 64, 87, 63 and 78? (a) 73 (b) 72 (c) 74 (d) 75
  17. 17.What is the average of all the whole numbers from 11 to 21? (a) 5 (b) 10 (c) 17 (d) 16
  18. 18.What is the average of all the whole numbers from 42 to 48? (a) 3 (b) 45 (c) 6 (d) 46
  19. 19.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 10 (b) 52 (c) 54 (d) 60
  20. 20.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 48 (b) 92 (c) 16 (d) 60
  21. 21.What is the average of 84, 64, 81, 69, 76 and 100? (a) 81 (b) 79 (c) 80 (d) 78
  22. 22.What is the average of 64, 63, 53, 52, 51 and 29? (a) 52 (b) 53 (c) 51 (d) 54
  23. 23.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 27 (b) 16 (c) 50 (d) 39
  24. 24.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 60? (a) 60 (b) 62 (c) 10 (d) 68
  25. 25.What is the average of all the whole numbers from 6 to 40? (a) 34 (b) 17 (c) 24 (d) 23
  26. 26.What is the average of 37, 36, 39, 39 and 49? (a) 40 (b) 39 (c) 41 (d) 50
  27. 27.What is the average of all the whole numbers from 20 to 34? (a) 14 (b) 27 (c) 7 (d) 28
  28. 28.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 58 (b) 55 (c) 31 (d) 28
  29. 29.What is the average of 13, 34, 20, 36 and 37? (a) 35 (b) 27 (c) 28 (d) 29
  30. 30.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 19 (b) 16 (c) 39 (d) 15
  31. 31.What is the average of all the whole numbers from 46 to 78? (a) 63 (b) 16 (c) 62 (d) 32
  32. 32.What is the average of all the whole numbers from 52 to 60? (a) 8 (b) 57 (c) 4 (d) 56
  33. 33.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 65 (c) 59 (d) 8
  34. 34.What is the average of 49, 33, 23 and 47? (a) 39 (b) 37 (c) 38 (d) 40
  35. 35.What is the average of all the whole numbers from 19 to 57? (a) 37 (b) 38 (c) 39 (d) 19
  36. 36.What is the average of all the whole numbers from 26 to 38? (a) 32 (b) 6 (c) 12 (d) 33
  37. 37.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 21 (b) 13 (c) 43 (d) 35
  38. 38.What is the average of all the whole numbers from 41 to 49? (a) 8 (b) 46 (c) 4 (d) 45
  39. 39.What is the average of 71, 80, 64 and 97? (a) 79 (b) 78 (c) 77 (d) 104
  40. 40.What is the average of 42, 62, 52 and 56? (a) 55 (b) 52 (c) 53 (d) 54

Answer key

  1. 70
  2. 17
  3. 44
  4. 93
  5. 14
  6. 51
  7. 35
  8. 74
  9. 74
  10. 58
  11. 64
  12. 66
  13. 77
  14. 33
  15. 36
  16. 73
  17. 16
  18. 45
  19. 60
  20. 60
  21. 79
  22. 52
  23. 39
  24. 68
  25. 23
  26. 40
  27. 27
  28. 55
  29. 28
  30. 15
  31. 62
  32. 56
  33. 65
  34. 38
  35. 38
  36. 32
  37. 43
  38. 45
  39. 78
  40. 53

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