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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 659 · 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.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 34 (b) 60 (c) 82 (d) 28
  2. 2.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 61 (b) 96 (c) 49 (d) 54
  3. 3.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 50 (b) 24 (c) 62 (d) 44
  4. 4.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 44? (a) 46 (b) 44 (c) 14 (d) 56
  5. 5.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 80 (b) 32 (c) 56 (d) 40
  6. 6.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 66 (b) 48 (c) 34 (d) 16
  7. 7.What is the average of 59, 68, 58, 54 and 66? (a) 61 (b) 60 (c) 63 (d) 62
  8. 8.What is the average of 69, 43, 47 and 57? (a) 53 (b) 55 (c) 54 (d) 72
  9. 9.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 48 (c) 73 (d) 41
  10. 10.What is the average of 83, 65, 86, 85, 86 and 57? (a) 78 (b) 79 (c) 77 (d) 76
  11. 11.What is the average of 16, 11, 33, 26, 5 and 29? (a) 20 (b) 19 (c) 21 (d) 24
  12. 12.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 51 (b) 36 (c) 12 (d) 27
  13. 13.What is the average of 62, 41, 53, 49, 66 and 47? (a) 53 (b) 52 (c) 55 (d) 54
  14. 14.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 80 (b) 52 (c) 42 (d) 45
  15. 15.What is the average of all the whole numbers from 41 to 51? (a) 5 (b) 10 (c) 47 (d) 46
  16. 16.What is the average of 48, 58, 70, 46 and 58? (a) 70 (b) 56 (c) 55 (d) 57
  17. 17.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 30 (b) 18 (c) 43 (d) 31
  18. 18.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 37 (b) 32 (c) 35 (d) 62
  19. 19.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 31 (b) 27 (c) 59 (d) 36
  20. 20.What is the average of all the whole numbers from 21 to 33? (a) 27 (b) 28 (c) 6 (d) 12
  21. 21.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 127 (b) 71 (c) 63 (d) 72
  22. 22.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 51 (c) 20 (d) 63
  23. 23.What is the average of 66, 64, 76, 73 and 106? (a) 79 (b) 76 (c) 78 (d) 77
  24. 24.What is the average of all the whole numbers from 14 to 28? (a) 21 (b) 22 (c) 7 (d) 14
  25. 25.What is the average of 35, 59, 39, 52, 51 and 58? (a) 50 (b) 48 (c) 51 (d) 49
  26. 26.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 54 (c) 16 (d) 66
  27. 27.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 15 (b) 14 (c) 46 (d) 22
  28. 28.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 78 (c) 32 (d) 62
  29. 29.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 47 (b) 91 (c) 62 (d) 18
  30. 30.What is the average of 44, 29, 22, 22, 31 and 38? (a) 30 (b) 32 (c) 33 (d) 31
  31. 31.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 22 (b) 11 (c) 46 (d) 10
  32. 32.What is the average of 59, 48, 44, 44, 35 and 52? (a) 47 (b) 48 (c) 49 (d) 46
  33. 33.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 88 (b) 67 (c) 60 (d) 35
  34. 34.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 58 (b) 42 (c) 18 (d) 44
  35. 35.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 31? (a) 30 (b) 36 (c) 56 (d) 31
  36. 36.What is the average of all the whole numbers from 13 to 39? (a) 13 (b) 27 (c) 26 (d) 25
  37. 37.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 50 (b) 95 (c) 65 (d) 20
  38. 38.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 8 (b) 53 (c) 57 (d) 51
  39. 39.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 62 (b) 48 (c) 94 (d) 54
  40. 40.What is the average of 56, 54, 71 and 91? (a) 68 (b) 70 (c) 67 (d) 69

Answer key

  1. 82
  2. 96
  3. 62
  4. 56
  5. 80
  6. 48
  7. 61
  8. 54
  9. 73
  10. 77
  11. 20
  12. 36
  13. 53
  14. 80
  15. 46
  16. 56
  17. 43
  18. 62
  19. 59
  20. 27
  21. 127
  22. 63
  23. 77
  24. 21
  25. 49
  26. 66
  27. 14
  28. 78
  29. 62
  30. 31
  31. 10
  32. 47
  33. 88
  34. 58
  35. 56
  36. 26
  37. 65
  38. 57
  39. 94
  40. 68

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