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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 734 · 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 5 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 39 (b) 43 (c) 40 (d) 87
  2. 2.What is the average of all the whole numbers from 18 to 50? (a) 35 (b) 32 (c) 34 (d) 16
  3. 3.What is the average of 35, 46, 43 and 20? (a) 36 (b) 37 (c) 48 (d) 35
  4. 4.What is the average of all the whole numbers from 27 to 61? (a) 45 (b) 17 (c) 34 (d) 44
  5. 5.What is the average of 74, 66, 94, 83 and 83? (a) 100 (b) 81 (c) 80 (d) 79
  6. 6.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 45 (b) 44 (c) 102 (d) 50
  7. 7.What is the average of 25, 9, 33 and 29? (a) 24 (b) 25 (c) 23 (d) 32
  8. 8.What is the average of 63, 80, 63, 79, 58 and 95? (a) 75 (b) 74 (c) 73 (d) 72
  9. 9.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 45 (b) 70 (c) 101 (d) 38
  10. 10.What is the average of 19, 44, 30 and 39? (a) 33 (b) 34 (c) 44 (d) 32
  11. 11.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 34 (b) 33 (c) 19 (d) 20
  12. 12.What is the average of 33, 40, 54, 44, 43 and 56? (a) 45 (b) 46 (c) 44 (d) 54
  13. 13.What is the average of 78, 70, 63, 68 and 76? (a) 70 (b) 72 (c) 71 (d) 73
  14. 14.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 31? (a) 45 (b) 16 (c) 33 (d) 31
  15. 15.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 41 (b) 33 (c) 10 (d) 35
  16. 16.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 48? (a) 20 (b) 48 (c) 53 (d) 63
  17. 17.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) 18 (d) 51
  18. 18.What is the average of 37, 20, 31, 22 and 40? (a) 32 (b) 31 (c) 30 (d) 29
  19. 19.What is the average of all the whole numbers from 50 to 78? (a) 28 (b) 65 (c) 64 (d) 14
  20. 20.What is the average of 10, 29, 34 and 27? (a) 25 (b) 26 (c) 24 (d) 27
  21. 21.What is the average of 51, 26, 24, 23, 40 and 52? (a) 36 (b) 35 (c) 37 (d) 38
  22. 22.What is the average of all the whole numbers from 19 to 59? (a) 20 (b) 38 (c) 39 (d) 40
  23. 23.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 25 (b) 39 (c) 24 (d) 83
  24. 24.What is the average of all the whole numbers from 55 to 71? (a) 63 (b) 8 (c) 64 (d) 16
  25. 25.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 15 (b) 55 (c) 14 (d) 26
  26. 26.What is the average of all the whole numbers from 29 to 59? (a) 45 (b) 15 (c) 30 (d) 44
  27. 27.What is the average of 32, 43, 49, 38 and 73? (a) 47 (b) 48 (c) 49 (d) 46
  28. 28.What is the average of 69, 80, 84 and 71? (a) 78 (b) 76 (c) 75 (d) 77
  29. 29.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 66? (a) 72 (b) 120 (c) 60 (d) 66
  30. 30.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 20 (b) 19 (c) 47 (d) 98
  31. 31.What is the average of 26, 23, 32, 33, 32 and 40? (a) 32 (b) 33 (c) 30 (d) 31
  32. 32.What is the average of all the whole numbers from 47 to 57? (a) 5 (b) 53 (c) 10 (d) 52
  33. 33.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 16 (b) 27 (c) 25 (d) 36
  34. 34.What is the average of all the whole numbers from 25 to 49? (a) 24 (b) 38 (c) 37 (d) 12
  35. 35.What is the average of all the whole numbers from 16 to 22? (a) 19 (b) 6 (c) 3 (d) 20
  36. 36.What is the average of all the whole numbers from 53 to 91? (a) 72 (b) 19 (c) 73 (d) 38
  37. 37.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 40 (b) 28 (c) 63 (d) 51
  38. 38.What is the average of all the whole numbers from 20 to 40? (a) 31 (b) 30 (c) 10 (d) 20
  39. 39.What is the average of 22, 32, 35 and 7? (a) 24 (b) 25 (c) 32 (d) 23
  40. 40.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 81 (b) 53 (c) 32 (d) 57

Answer key

  1. 39
  2. 34
  3. 36
  4. 44
  5. 80
  6. 44
  7. 24
  8. 73
  9. 101
  10. 33
  11. 34
  12. 45
  13. 71
  14. 45
  15. 41
  16. 63
  17. 51
  18. 30
  19. 64
  20. 25
  21. 36
  22. 39
  23. 24
  24. 63
  25. 14
  26. 44
  27. 47
  28. 76
  29. 120
  30. 19
  31. 31
  32. 52
  33. 36
  34. 37
  35. 19
  36. 72
  37. 63
  38. 30
  39. 24
  40. 81

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