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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 415 · 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 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 36 (c) 61 (d) 60
  2. 2.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 11 (b) 57 (c) 26 (d) 12
  3. 3.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) 20 (c) 63 (d) 51
  4. 4.What is the average of 71, 57, 72, 60 and 75? (a) 69 (b) 67 (c) 66 (d) 68
  5. 5.What is the average of all the whole numbers from 20 to 30? (a) 26 (b) 10 (c) 25 (d) 5
  6. 6.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 12 (b) 27 (c) 24 (d) 15
  7. 7.What is the average of 31, 15, 18, 37 and 39? (a) 29 (b) 28 (c) 27 (d) 35
  8. 8.What is the average of 23, 23, 28 and 62? (a) 33 (b) 34 (c) 36 (d) 35
  9. 9.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 63 (b) 8 (c) 67 (d) 61
  10. 10.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 19 (b) 29 (c) 60 (d) 20
  11. 11.What is the average of 21, 34, 29, 20 and 11? (a) 22 (b) 24 (c) 25 (d) 23
  12. 12.What is the average of 63, 69, 79 and 93? (a) 77 (b) 78 (c) 76 (d) 75
  13. 13.What is the average of all the whole numbers from 32 to 62? (a) 15 (b) 30 (c) 48 (d) 47
  14. 14.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 32 (b) 65 (c) 49 (d) 41
  15. 15.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) 42 (b) 75 (c) 45 (d) 39
  16. 16.What is the average of all the whole numbers from 33 to 39? (a) 36 (b) 37 (c) 6 (d) 3
  17. 17.What is the average of 28, 27, 25, 48 and 72? (a) 50 (b) 41 (c) 40 (d) 39
  18. 18.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 48 (b) 61 (c) 69 (d) 101
  19. 19.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 34 (c) 30 (d) 52
  20. 20.What is the average of 36, 19, 20 and 13? (a) 21 (b) 22 (c) 24 (d) 23
  21. 21.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 65 (c) 16 (d) 73
  22. 22.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 22? (a) 10 (b) 22 (c) 24 (d) 30
  23. 23.What is the average of all the whole numbers from 27 to 43? (a) 8 (b) 16 (c) 35 (d) 36
  24. 24.What is the average of 41, 52, 36 and 59? (a) 47 (b) 48 (c) 49 (d) 46
  25. 25.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 7 (b) 21 (c) 11 (d) 17
  26. 26.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 31? (a) 31 (b) 49 (c) 33 (d) 20
  27. 27.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 20 (b) 52 (c) 25 (d) 19
  28. 28.What is the average of 80, 77, 59, 62, 63 and 49? (a) 65 (b) 78 (c) 64 (d) 66
  29. 29.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 21 (b) 30 (c) 48 (d) 57
  30. 30.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 35 (c) 70 (d) 45
  31. 31.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 53 (b) 41 (c) 35 (d) 24
  32. 32.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 49 (b) 35 (c) 70 (d) 28
  33. 33.What is the average of all the whole numbers from 53 to 67? (a) 60 (b) 14 (c) 7 (d) 61
  34. 34.What is the average of all the whole numbers from 30 to 58? (a) 44 (b) 14 (c) 28 (d) 45
  35. 35.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 47 (b) 38 (c) 41 (d) 12
  36. 36.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 30 (b) 105 (c) 31 (d) 50
  37. 37.What is the average of all the whole numbers from 43 to 61? (a) 53 (b) 9 (c) 52 (d) 18
  38. 38.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 38 (b) 33 (c) 40 (d) 68
  39. 39.What is the average of all the whole numbers from 5 to 11? (a) 6 (b) 9 (c) 8 (d) 3
  40. 40.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 45 (b) 10 (c) 88 (d) 53

Answer key

  1. 60
  2. 11
  3. 63
  4. 67
  5. 25
  6. 24
  7. 28
  8. 34
  9. 67
  10. 19
  11. 23
  12. 76
  13. 47
  14. 65
  15. 75
  16. 36
  17. 40
  18. 101
  19. 52
  20. 22
  21. 73
  22. 30
  23. 35
  24. 47
  25. 17
  26. 49
  27. 19
  28. 65
  29. 48
  30. 70
  31. 53
  32. 70
  33. 60
  34. 44
  35. 47
  36. 30
  37. 52
  38. 68
  39. 8
  40. 53

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