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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 906 · 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 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 20 (b) 41 (c) 14 (d) 15
  2. 2.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 16 (b) 42 (c) 40 (d) 54
  3. 3.What is the average of 75, 75, 72, 61, 61 and 22? (a) 62 (b) 60 (c) 63 (d) 61
  4. 4.What is the average of all the whole numbers from 19 to 39? (a) 29 (b) 20 (c) 30 (d) 10
  5. 5.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 19 (b) 4 (c) 13 (d) 10
  6. 6.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 34 (b) 39 (c) 19 (d) 24
  7. 7.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 26 (b) 24 (c) 47 (d) 49
  8. 8.What is the average of all the whole numbers from 7 to 19? (a) 13 (b) 6 (c) 12 (d) 14
  9. 9.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 63 (b) 55 (c) 64 (d) 111
  10. 10.What is the average of all the whole numbers from 38 to 74? (a) 36 (b) 57 (c) 18 (d) 56
  11. 11.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 60 (b) 18 (c) 74 (d) 58
  12. 12.What is the average of 61, 50, 78, 55, 49 and 91? (a) 66 (b) 65 (c) 64 (d) 63
  13. 13.What is the average of all the whole numbers from 23 to 59? (a) 42 (b) 41 (c) 36 (d) 18
  14. 14.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 61 (c) 35 (d) 60
  15. 15.What is the average of 53, 66, 50, 56 and 55? (a) 56 (b) 57 (c) 70 (d) 55
  16. 16.What is the average of all the whole numbers from 14 to 44? (a) 15 (b) 29 (c) 30 (d) 28
  17. 17.What is the average of all the whole numbers from 26 to 36? (a) 5 (b) 10 (c) 31 (d) 32
  18. 18.What is the average of 22, 43, 44, 19 and 17? (a) 28 (b) 29 (c) 31 (d) 30
  19. 19.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 66 (b) 87 (c) 25 (d) 46
  20. 20.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 40 (b) 5 (c) 44 (d) 79
  21. 21.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 85 (b) 45 (c) 53 (d) 48
  22. 22.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 61 (b) 89 (c) 54 (d) 42
  23. 23.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 25 (b) 95 (c) 26 (d) 46
  24. 24.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 65 (c) 27 (d) 86
  25. 25.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 64 (b) 61 (c) 79 (d) 21
  26. 26.What is the average of all the whole numbers from 10 to 26? (a) 18 (b) 19 (c) 8 (d) 16
  27. 27.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 84 (c) 63 (d) 27
  28. 28.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 22 (b) 11 (c) 10 (d) 47
  29. 29.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 20 (b) 48 (c) 30 (d) 32
  30. 30.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 10 (b) 73 (c) 9 (d) 34
  31. 31.What is the average of 53, 60, 44, 42, 43 and 94? (a) 58 (b) 57 (c) 55 (d) 56
  32. 32.What is the average of 42, 46, 57, 43, 48 and 28? (a) 43 (b) 44 (c) 45 (d) 46
  33. 33.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 91 (b) 41 (c) 42 (d) 45
  34. 34.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 33? (a) 36 (b) 60 (c) 33 (d) 30
  35. 35.What is the average of 48, 51, 69, 50 and 92? (a) 63 (b) 64 (c) 62 (d) 61
  36. 36.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 61? (a) 48 (b) 103 (c) 61 (d) 67
  37. 37.What is the average of 9, 14, 9, 6 and 62? (a) 25 (b) 21 (c) 19 (d) 20
  38. 38.What is the average of 54, 59, 50, 43, 44 and 92? (a) 58 (b) 56 (c) 57 (d) 59
  39. 39.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 34 (b) 72 (c) 23 (d) 22
  40. 40.What is the average of 45, 36, 49 and 62? (a) 48 (b) 49 (c) 47 (d) 64

Answer key

  1. 14
  2. 54
  3. 61
  4. 29
  5. 13
  6. 39
  7. 47
  8. 13
  9. 111
  10. 56
  11. 74
  12. 64
  13. 41
  14. 60
  15. 56
  16. 29
  17. 31
  18. 29
  19. 66
  20. 44
  21. 85
  22. 89
  23. 25
  24. 86
  25. 79
  26. 18
  27. 84
  28. 10
  29. 48
  30. 9
  31. 56
  32. 44
  33. 41
  34. 60
  35. 62
  36. 103
  37. 20
  38. 57
  39. 22
  40. 48

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