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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 550 · 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 23, 32, 34, 32 and 49? (a) 35 (b) 36 (c) 34 (d) 33
  2. 2.What is the average of all the whole numbers from 15 to 27? (a) 6 (b) 22 (c) 12 (d) 21
  3. 3.What is the average of all the whole numbers from 32 to 72? (a) 40 (b) 53 (c) 20 (d) 52
  4. 4.What is the average of 21, 20, 27, 31, 35 and 70? (a) 34 (b) 35 (c) 36 (d) 33
  5. 5.What is the average of all the whole numbers from 17 to 33? (a) 25 (b) 16 (c) 8 (d) 26
  6. 6.What is the average of all the whole numbers from 52 to 60? (a) 57 (b) 4 (c) 8 (d) 56
  7. 7.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 24 (b) 58 (c) 61 (d) 79
  8. 8.What is the average of all the whole numbers from 34 to 46? (a) 6 (b) 12 (c) 41 (d) 40
  9. 9.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 32 (b) 77 (c) 94 (d) 49
  10. 10.What is the average of all the whole numbers from 51 to 65? (a) 59 (b) 7 (c) 14 (d) 58
  11. 11.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 35 (b) 66 (c) 16 (d) 47
  12. 12.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 30 (b) 57 (c) 84 (d) 60
  13. 13.What is the average of all the whole numbers from 30 to 58? (a) 28 (b) 44 (c) 45 (d) 14
  14. 14.What is the average of all the whole numbers from 7 to 15? (a) 4 (b) 11 (c) 12 (d) 8
  15. 15.What is the average of all the whole numbers from 18 to 46? (a) 28 (b) 14 (c) 32 (d) 33
  16. 16.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 42 (b) 38 (c) 39 (d) 85
  17. 17.What is the average of 55, 49, 54 and 22? (a) 60 (b) 45 (c) 46 (d) 44
  18. 18.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 19 (b) 12 (c) 40 (d) 11
  19. 19.What is the average of 44, 25, 46, 27, 25 and 31? (a) 34 (b) 35 (c) 33 (d) 32
  20. 20.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 15 (b) 63 (c) 54 (d) 51
  21. 21.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 46 (b) 97 (c) 45 (d) 48
  22. 22.What is the average of 41, 32, 46, 47 and 4? (a) 34 (b) 35 (c) 33 (d) 36
  23. 23.What is the average of all the whole numbers from 46 to 82? (a) 64 (b) 18 (c) 36 (d) 65
  24. 24.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 47 (b) 7 (c) 6 (d) 21
  25. 25.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 56 (c) 112 (d) 70
  26. 26.What is the average of 12, 30, 15 and 31? (a) 23 (b) 21 (c) 22 (d) 24
  27. 27.What is the average of all the whole numbers from 9 to 29? (a) 19 (b) 20 (c) 18 (d) 10
  28. 28.What is the average of all the whole numbers from 31 to 43? (a) 12 (b) 38 (c) 6 (d) 37
  29. 29.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 52? (a) 52 (b) 56 (c) 80 (d) 32
  30. 30.What is the average of 29, 36, 29 and 26? (a) 29 (b) 30 (c) 40 (d) 31
  31. 31.What is the average of all the whole numbers from 60 to 72? (a) 12 (b) 66 (c) 6 (d) 67
  32. 32.What is the average of all the whole numbers from 32 to 50? (a) 18 (b) 41 (c) 42 (d) 9
  33. 33.What is the average of 51, 38, 55 and 28? (a) 44 (b) 43 (c) 42 (d) 45
  34. 34.What is the average of 39, 52, 45, 30 and 19? (a) 37 (b) 39 (c) 38 (d) 36
  35. 35.What is the average of all the whole numbers from 8 to 22? (a) 7 (b) 14 (c) 16 (d) 15
  36. 36.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 43? (a) 51 (b) 10 (c) 43 (d) 45
  37. 37.What is the average of 26, 15, 8, 10, 23 and 44? (a) 22 (b) 23 (c) 20 (d) 21
  38. 38.What is the average of all the whole numbers from 39 to 63? (a) 24 (b) 12 (c) 51 (d) 52
  39. 39.What is the average of 55, 68, 72 and 61? (a) 63 (b) 65 (c) 66 (d) 64
  40. 40.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 70 (b) 14 (c) 60 (d) 58

Answer key

  1. 34
  2. 21
  3. 52
  4. 34
  5. 25
  6. 56
  7. 79
  8. 40
  9. 77
  10. 58
  11. 47
  12. 84
  13. 44
  14. 11
  15. 32
  16. 38
  17. 45
  18. 11
  19. 33
  20. 63
  21. 45
  22. 34
  23. 64
  24. 6
  25. 112
  26. 22
  27. 19
  28. 37
  29. 80
  30. 30
  31. 66
  32. 41
  33. 43
  34. 37
  35. 15
  36. 51
  37. 21
  38. 51
  39. 64
  40. 70

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