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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 311 · 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 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 99 (b) 47 (c) 17 (d) 18
  2. 2.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 33 (b) 39 (c) 79 (d) 32
  3. 3.What is the average of 68, 89, 65, 84, 85 and 65? (a) 77 (b) 78 (c) 76 (d) 75
  4. 4.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 21 (b) 46 (c) 1 (d) 2
  5. 5.What is the average of 33, 44, 27, 22, 30 and 66? (a) 36 (b) 37 (c) 38 (d) 39
  6. 6.What is the average of 78, 62, 61, 86 and 78? (a) 74 (b) 72 (c) 73 (d) 75
  7. 7.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 54 (c) 62 (d) 12
  8. 8.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 49 (b) 84 (c) 45 (d) 44
  9. 9.What is the average of all the whole numbers from 10 to 44? (a) 34 (b) 28 (c) 27 (d) 17
  10. 10.What is the average of all the whole numbers from 44 to 52? (a) 8 (b) 49 (c) 48 (d) 4
  11. 11.What is the average of 37, 43, 53, 66 and 61? (a) 51 (b) 65 (c) 53 (d) 52
  12. 12.What is the average of all the whole numbers from 12 to 40? (a) 28 (b) 27 (c) 26 (d) 14
  13. 13.What is the average of all the whole numbers from 46 to 78? (a) 63 (b) 32 (c) 62 (d) 16
  14. 14.What is the average of all the whole numbers from 23 to 29? (a) 6 (b) 26 (c) 3 (d) 27
  15. 15.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 127 (b) 63 (c) 126 (d) 70
  16. 16.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 21 (b) 61 (c) 43 (d) 83
  17. 17.What is the average of 52, 44, 27, 34, 46 and 43? (a) 43 (b) 42 (c) 41 (d) 40
  18. 18.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 45? (a) 47 (b) 45 (c) 8 (d) 51
  19. 19.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 42 (b) 49 (c) 77 (d) 35
  20. 20.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 50 (b) 20 (c) 45 (d) 60
  21. 21.What is the average of 22, 16, 17 and 69? (a) 32 (b) 30 (c) 31 (d) 33
  22. 22.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 30 (b) 31 (c) 90 (d) 44
  23. 23.What is the average of all the whole numbers from 39 to 73? (a) 56 (b) 17 (c) 34 (d) 57
  24. 24.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 35 (b) 25 (c) 50 (d) 30
  25. 25.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 28 (b) 43 (c) 19 (d) 34
  26. 26.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 64 (c) 70 (d) 10
  27. 27.What is the average of 31, 17, 39, 25 and 8? (a) 25 (b) 30 (c) 23 (d) 24
  28. 28.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 53 (c) 30 (d) 29
  29. 29.What is the average of 59, 38, 53, 31, 37 and 58? (a) 46 (b) 45 (c) 47 (d) 48
  30. 30.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 43 (b) 53 (c) 18 (d) 28
  31. 31.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 55 (b) 24 (c) 34 (d) 37
  32. 32.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 43 (b) 12 (c) 33 (d) 64
  33. 33.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 16 (b) 52 (c) 38 (d) 40
  34. 34.What is the average of all the whole numbers from 11 to 39? (a) 25 (b) 14 (c) 26 (d) 28
  35. 35.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 18 (c) 77 (d) 65
  36. 36.What is the average of 84, 63, 91 and 66? (a) 75 (b) 76 (c) 77 (d) 78
  37. 37.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 20 (c) 59 (d) 71
  38. 38.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 42 (c) 70 (d) 71
  39. 39.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 19 (b) 39 (c) 81 (d) 18
  40. 40.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 64? (a) 42 (b) 71 (c) 64 (d) 99

Answer key

  1. 17
  2. 32
  3. 76
  4. 1
  5. 37
  6. 73
  7. 62
  8. 84
  9. 27
  10. 48
  11. 52
  12. 26
  13. 62
  14. 26
  15. 126
  16. 61
  17. 41
  18. 51
  19. 77
  20. 60
  21. 31
  22. 30
  23. 56
  24. 50
  25. 43
  26. 70
  27. 24
  28. 53
  29. 46
  30. 43
  31. 55
  32. 43
  33. 52
  34. 25
  35. 77
  36. 76
  37. 71
  38. 70
  39. 18
  40. 99

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