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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 793 · 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 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 32 (b) 50 (c) 24 (d) 29
  2. 2.What is the average of 59, 66, 59, 72, 71 and 93? (a) 70 (b) 71 (c) 69 (d) 84
  3. 3.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 32 (c) 57 (d) 41
  4. 4.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 71 (c) 56 (d) 21
  5. 5.What is the average of 41, 45, 43 and 59? (a) 49 (b) 47 (c) 48 (d) 46
  6. 6.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 47 (b) 92 (c) 55 (d) 10
  7. 7.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 26 (b) 32 (c) 27 (d) 66
  8. 8.What is the average of all the whole numbers from 36 to 74? (a) 38 (b) 19 (c) 56 (d) 55
  9. 9.What is the average of all the whole numbers from 13 to 21? (a) 17 (b) 18 (c) 8 (d) 4
  10. 10.What is the average of all the whole numbers from 22 to 40? (a) 18 (b) 31 (c) 9 (d) 32
  11. 11.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 50? (a) 58 (b) 56 (c) 50 (d) 98
  12. 12.What is the average of all the whole numbers from 51 to 63? (a) 12 (b) 57 (c) 58 (d) 6
  13. 13.What is the average of all the whole numbers from 32 to 66? (a) 17 (b) 34 (c) 50 (d) 49
  14. 14.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 49 (c) 91 (d) 56
  15. 15.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 23 (b) 28 (c) 22 (d) 58
  16. 16.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 61? (a) 54 (b) 61 (c) 109 (d) 67
  17. 17.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 53? (a) 55 (b) 10 (c) 61 (d) 53
  18. 18.What is the average of all the whole numbers from 41 to 49? (a) 4 (b) 45 (c) 8 (d) 46
  19. 19.What is the average of 62, 68, 56 and 54? (a) 59 (b) 80 (c) 61 (d) 60
  20. 20.What is the average of all the whole numbers from 40 to 80? (a) 60 (b) 61 (c) 40 (d) 20
  21. 21.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 24? (a) 28 (b) 16 (c) 24 (d) 36
  22. 22.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 90 (b) 31 (c) 43 (d) 32
  23. 23.What is the average of 58, 68, 60, 62 and 22? (a) 53 (b) 54 (c) 55 (d) 56
  24. 24.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 16 (b) 54 (c) 29 (d) 41
  25. 25.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 45 (b) 39 (c) 40 (d) 91
  26. 26.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 31 (b) 30 (c) 82 (d) 40
  27. 27.What is the average of all the whole numbers from 12 to 22? (a) 18 (b) 5 (c) 10 (d) 17
  28. 28.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 33 (b) 39 (c) 19 (d) 25
  29. 29.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 32 (b) 33 (c) 38 (d) 78
  30. 30.What is the average of 19, 20, 12, 13 and 56? (a) 23 (b) 25 (c) 30 (d) 24
  31. 31.What is the average of 34, 45, 31 and 46? (a) 39 (b) 38 (c) 40 (d) 52
  32. 32.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 38 (b) 43 (c) 37 (d) 88
  33. 33.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 37 (b) 17 (c) 77 (d) 16
  34. 34.What is the average of 52, 42, 58, 34 and 44? (a) 45 (b) 48 (c) 46 (d) 47
  35. 35.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 42 (b) 40 (c) 18 (d) 56
  36. 36.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 73 (b) 36 (c) 30 (d) 29
  37. 37.What is the average of all the whole numbers from 48 to 84? (a) 67 (b) 36 (c) 66 (d) 18
  38. 38.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 69 (b) 24 (c) 49 (d) 53
  39. 39.What is the average of 65, 53, 49, 69, 51 and 91? (a) 65 (b) 62 (c) 63 (d) 64
  40. 40.What is the average of 37, 31, 29, 38, 31 and 56? (a) 37 (b) 39 (c) 36 (d) 38

Answer key

  1. 50
  2. 70
  3. 57
  4. 71
  5. 47
  6. 55
  7. 26
  8. 55
  9. 17
  10. 31
  11. 98
  12. 57
  13. 49
  14. 91
  15. 22
  16. 109
  17. 61
  18. 45
  19. 60
  20. 60
  21. 36
  22. 31
  23. 54
  24. 41
  25. 39
  26. 30
  27. 17
  28. 39
  29. 32
  30. 24
  31. 39
  32. 37
  33. 16
  34. 46
  35. 56
  36. 29
  37. 66
  38. 69
  39. 63
  40. 37

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