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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 443 · 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 all the whole numbers from 55 to 85? (a) 15 (b) 30 (c) 71 (d) 70
  2. 2.What is the average of all the whole numbers from 17 to 53? (a) 35 (b) 34 (c) 18 (d) 36
  3. 3.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 15 (b) 60 (c) 48 (d) 93
  4. 4.What is the average of all the whole numbers from 53 to 93? (a) 20 (b) 73 (c) 40 (d) 74
  5. 5.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 6 (b) 36 (c) 5 (d) 17
  6. 6.What is the average of 41, 39, 45 and 39? (a) 40 (b) 41 (c) 43 (d) 42
  7. 7.What is the average of all the whole numbers from 29 to 45? (a) 38 (b) 8 (c) 37 (d) 16
  8. 8.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 10 (b) 54 (c) 46 (d) 90
  9. 9.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 62? (a) 28 (b) 62 (c) 66 (d) 86
  10. 10.What is the average of all the whole numbers from 34 to 56? (a) 45 (b) 22 (c) 11 (d) 46
  11. 11.What is the average of all the whole numbers from 7 to 21? (a) 15 (b) 13 (c) 7 (d) 14
  12. 12.What is the average of all the whole numbers from 22 to 46? (a) 12 (b) 24 (c) 34 (d) 35
  13. 13.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 41 (b) 49 (c) 42 (d) 100
  14. 14.What is the average of 34, 34, 57, 32 and 63? (a) 43 (b) 55 (c) 45 (d) 44
  15. 15.What is the average of 47, 46, 32 and 63? (a) 48 (b) 49 (c) 46 (d) 47
  16. 16.What is the average of 81, 75, 59 and 53? (a) 66 (b) 68 (c) 67 (d) 69
  17. 17.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 48 (c) 96 (d) 60
  18. 18.What is the average of all the whole numbers from 20 to 26? (a) 23 (b) 3 (c) 6 (d) 24
  19. 19.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 28 (b) 46 (c) 50 (d) 70
  20. 20.What is the average of all the whole numbers from 49 to 61? (a) 55 (b) 6 (c) 12 (d) 56
  21. 21.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 37 (c) 39 (d) 8
  22. 22.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 6 (b) 23 (c) 49 (d) 5
  23. 23.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 63 (b) 57 (c) 113 (d) 64
  24. 24.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 25 (b) 46 (c) 66 (d) 51
  25. 25.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 35 (b) 45 (c) 25 (d) 15
  26. 26.What is the average of all the whole numbers from 35 to 49? (a) 7 (b) 42 (c) 14 (d) 43
  27. 27.What is the average of 55, 34, 38, 31 and 52? (a) 41 (b) 44 (c) 43 (d) 42
  28. 28.What is the average of 50, 55, 56 and 83? (a) 61 (b) 60 (c) 63 (d) 62
  29. 29.What is the average of all the whole numbers from 48 to 88? (a) 40 (b) 20 (c) 69 (d) 68
  30. 30.What is the average of 11, 35, 41 and 17? (a) 27 (b) 25 (c) 28 (d) 26
  31. 31.What is the average of 53, 54, 42, 47 and 14? (a) 44 (b) 41 (c) 43 (d) 42
  32. 32.What is the average of 37, 25, 43 and 27? (a) 44 (b) 33 (c) 32 (d) 34
  33. 33.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 69 (b) 51 (c) 48 (d) 24
  34. 34.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 16 (b) 59 (c) 51 (d) 47
  35. 35.What is the average of all the whole numbers from 20 to 58? (a) 19 (b) 40 (c) 39 (d) 38
  36. 36.What is the average of 72, 64, 74 and 42? (a) 63 (b) 62 (c) 84 (d) 64
  37. 37.What is the average of all the whole numbers from 31 to 55? (a) 43 (b) 24 (c) 44 (d) 12
  38. 38.What is the average of 17, 20, 30, 40 and 38? (a) 28 (b) 29 (c) 31 (d) 30
  39. 39.What is the average of 23, 34, 21, 34 and 48? (a) 40 (b) 33 (c) 31 (d) 32
  40. 40.What is the average of all the whole numbers from 59 to 73? (a) 66 (b) 7 (c) 14 (d) 67

Answer key

  1. 70
  2. 35
  3. 60
  4. 73
  5. 5
  6. 41
  7. 37
  8. 54
  9. 86
  10. 45
  11. 14
  12. 34
  13. 41
  14. 44
  15. 47
  16. 67
  17. 96
  18. 23
  19. 70
  20. 55
  21. 43
  22. 5
  23. 113
  24. 66
  25. 45
  26. 42
  27. 42
  28. 61
  29. 68
  30. 26
  31. 42
  32. 33
  33. 69
  34. 59
  35. 39
  36. 63
  37. 43
  38. 29
  39. 32
  40. 66

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