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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 697 · 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 46, 32, 27, 41 and 9? (a) 32 (b) 33 (c) 30 (d) 31
  2. 2.What is the average of 49, 31, 46 and 34? (a) 40 (b) 39 (c) 42 (d) 41
  3. 3.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 20 (b) 61 (c) 86 (d) 45
  4. 4.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 45 (c) 36 (d) 15
  5. 5.What is the average of all the whole numbers from 33 to 61? (a) 48 (b) 47 (c) 14 (d) 28
  6. 6.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 25 (b) 47 (c) 18 (d) 40
  7. 7.What is the average of 15, 32, 12, 26 and 25? (a) 23 (b) 22 (c) 21 (d) 24
  8. 8.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 60 (b) 84 (c) 54 (d) 36
  9. 9.What is the average of all the whole numbers from 55 to 65? (a) 10 (b) 60 (c) 61 (d) 5
  10. 10.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 14 (b) 45 (c) 33 (d) 35
  11. 11.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 80 (b) 51 (c) 115 (d) 43
  12. 12.What is the average of 47, 50, 50 and 1? (a) 36 (b) 38 (c) 39 (d) 37
  13. 13.What is the average of 49, 37, 63 and 55? (a) 68 (b) 52 (c) 50 (d) 51
  14. 14.What is the average of 17, 42, 23, 24, 36 and 20? (a) 28 (b) 29 (c) 27 (d) 26
  15. 15.What is the average of all the whole numbers from 39 to 65? (a) 13 (b) 53 (c) 52 (d) 26
  16. 16.What is the average of 61, 57, 66, 78 and 63? (a) 64 (b) 66 (c) 65 (d) 67
  17. 17.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 35 (c) 56 (d) 27
  18. 18.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 57 (b) 69 (c) 36 (d) 24
  19. 19.What is the average of 14, 12, 12, 22, 26 and 40? (a) 23 (b) 22 (c) 21 (d) 20
  20. 20.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 33 (b) 37 (c) 31 (d) 8
  21. 21.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 44 (b) 50 (c) 7 (d) 87
  22. 22.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 109 (b) 60 (c) 54 (d) 108
  23. 23.What is the average of 27, 44, 35 and 50? (a) 38 (b) 40 (c) 52 (d) 39
  24. 24.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 13 (b) 21 (c) 38 (d) 30
  25. 25.What is the average of all the whole numbers from 7 to 19? (a) 14 (b) 13 (c) 6 (d) 12
  26. 26.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 8 (b) 62 (c) 58 (d) 56
  27. 27.What is the average of 60, 55, 38 and 35? (a) 49 (b) 48 (c) 47 (d) 46
  28. 28.What is the average of 47, 50, 56, 60, 73 and 74? (a) 72 (b) 60 (c) 59 (d) 61
  29. 29.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 8 (b) 41 (c) 28 (d) 21
  30. 30.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 71 (b) 53 (c) 59 (d) 24
  31. 31.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 45 (b) 97 (c) 44 (d) 48
  32. 32.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 12 (b) 93 (c) 57 (d) 48
  33. 33.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 105 (b) 57 (c) 63 (d) 54
  34. 34.What is the average of all the whole numbers from 21 to 29? (a) 26 (b) 4 (c) 8 (d) 25
  35. 35.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 65 (b) 60 (c) 30 (d) 35
  36. 36.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 60 (b) 30 (c) 36 (d) 84
  37. 37.What is the average of all the whole numbers from 53 to 73? (a) 20 (b) 64 (c) 63 (d) 10
  38. 38.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 24 (b) 40 (c) 20 (d) 44
  39. 39.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 32 (c) 64 (d) 88
  40. 40.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 55 (b) 15 (c) 46 (d) 43

Answer key

  1. 31
  2. 40
  3. 61
  4. 45
  5. 47
  6. 40
  7. 22
  8. 84
  9. 60
  10. 45
  11. 115
  12. 37
  13. 51
  14. 27
  15. 52
  16. 65
  17. 56
  18. 57
  19. 21
  20. 37
  21. 50
  22. 108
  23. 39
  24. 38
  25. 13
  26. 62
  27. 47
  28. 60
  29. 28
  30. 71
  31. 44
  32. 57
  33. 105
  34. 25
  35. 60
  36. 84
  37. 63
  38. 40
  39. 88
  40. 55

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