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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 634 · 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 7 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 19 (b) 103 (c) 20 (d) 49
  2. 2.What is the average of 54, 53, 64, 61, 35 and 33? (a) 51 (b) 49 (c) 60 (d) 50
  3. 3.What is the average of 31, 23, 22, 40 and 59? (a) 35 (b) 34 (c) 37 (d) 36
  4. 4.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 70 (c) 44 (d) 100
  5. 5.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 41 (b) 16 (c) 20 (d) 15
  6. 6.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 8 (b) 61 (c) 31 (d) 38
  7. 7.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 61 (b) 32 (c) 12 (d) 41
  8. 8.What is the average of 42, 29, 41, 52, 31 and 45? (a) 48 (b) 39 (c) 41 (d) 40
  9. 9.What is the average of 75, 56, 51, 54 and 84? (a) 80 (b) 65 (c) 63 (d) 64
  10. 10.What is the average of all the whole numbers from 18 to 48? (a) 34 (b) 15 (c) 33 (d) 30
  11. 11.What is the average of 36, 31, 49, 49 and 20? (a) 37 (b) 36 (c) 38 (d) 39
  12. 12.What is the average of 79, 78, 72, 64 and 42? (a) 67 (b) 68 (c) 69 (d) 66
  13. 13.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 19 (b) 71 (c) 18 (d) 33
  14. 14.What is the average of 55, 54, 66, 76 and 64? (a) 62 (b) 65 (c) 64 (d) 63
  15. 15.What is the average of all the whole numbers from 15 to 33? (a) 18 (b) 9 (c) 25 (d) 24
  16. 16.What is the average of 56, 54, 40 and 38? (a) 46 (b) 49 (c) 47 (d) 48
  17. 17.What is the average of all the whole numbers from 27 to 65? (a) 19 (b) 38 (c) 47 (d) 46
  18. 18.What is the average of 70, 59, 70 and 85? (a) 73 (b) 70 (c) 71 (d) 72
  19. 19.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 75 (c) 42 (d) 45
  20. 20.What is the average of 73, 65, 84 and 70? (a) 73 (b) 75 (c) 72 (d) 74
  21. 21.What is the average of all the whole numbers from 39 to 73? (a) 17 (b) 57 (c) 56 (d) 34
  22. 22.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 39 (b) 34 (c) 50 (d) 79
  23. 23.What is the average of all the whole numbers from 35 to 45? (a) 41 (b) 5 (c) 40 (d) 10
  24. 24.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 23? (a) 26 (b) 23 (c) 15 (d) 35
  25. 25.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 38 (b) 53 (c) 71 (d) 20
  26. 26.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 25 (c) 49 (d) 64
  27. 27.What is the average of 83, 78, 82 and 33? (a) 92 (b) 68 (c) 69 (d) 70
  28. 28.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 52? (a) 101 (b) 59 (c) 52 (d) 56
  29. 29.What is the average of all the whole numbers from 45 to 85? (a) 65 (b) 40 (c) 66 (d) 20
  30. 30.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 40 (b) 14 (c) 19 (d) 13
  31. 31.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 91 (b) 47 (c) 56 (d) 12
  32. 32.What is the average of all the whole numbers from 37 to 65? (a) 28 (b) 52 (c) 51 (d) 14
  33. 33.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 35 (c) 59 (d) 80
  34. 34.What is the average of 38, 13, 24 and 37? (a) 30 (b) 27 (c) 28 (d) 29
  35. 35.What is the average of 70, 65, 74, 62 and 114? (a) 79 (b) 78 (c) 76 (d) 77
  36. 36.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 72 (c) 48 (d) 32
  37. 37.What is the average of 54, 59, 57 and 102? (a) 70 (b) 68 (c) 69 (d) 67
  38. 38.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 36 (b) 45 (c) 73 (d) 41
  39. 39.What is the average of all the whole numbers from 15 to 21? (a) 6 (b) 3 (c) 19 (d) 18
  40. 40.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 31 (b) 51 (c) 30 (d) 26

Answer key

  1. 19
  2. 50
  3. 35
  4. 100
  5. 15
  6. 38
  7. 41
  8. 40
  9. 64
  10. 33
  11. 37
  12. 67
  13. 18
  14. 63
  15. 24
  16. 47
  17. 46
  18. 71
  19. 75
  20. 73
  21. 56
  22. 79
  23. 40
  24. 35
  25. 53
  26. 64
  27. 69
  28. 101
  29. 65
  30. 13
  31. 56
  32. 51
  33. 80
  34. 28
  35. 77
  36. 72
  37. 68
  38. 73
  39. 18
  40. 51

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