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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 354 · 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 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 37 (c) 64 (d) 85
  2. 2.What is the average of 35, 18, 16, 15, 31 and 23? (a) 24 (b) 22 (c) 23 (d) 25
  3. 3.What is the average of all the whole numbers from 17 to 23? (a) 3 (b) 21 (c) 6 (d) 20
  4. 4.What is the average of 24, 38, 33, 24 and 1? (a) 23 (b) 30 (c) 25 (d) 24
  5. 5.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 58 (b) 51 (c) 35 (d) 79
  6. 6.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 87 (b) 56 (c) 47 (d) 39
  7. 7.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 44 (b) 38 (c) 62 (d) 30
  8. 8.What is the average of 53, 47, 38 and 70? (a) 53 (b) 52 (c) 51 (d) 54
  9. 9.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 37 (b) 32 (c) 33 (d) 75
  10. 10.What is the average of 66, 80, 77, 78, 64 and 61? (a) 71 (b) 70 (c) 73 (d) 72
  11. 11.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 47 (b) 62 (c) 18 (d) 91
  12. 12.What is the average of 25, 42, 30, 44 and 59? (a) 40 (b) 39 (c) 50 (d) 41
  13. 13.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 20 (b) 61 (c) 77 (d) 59
  14. 14.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 17 (b) 35 (c) 12 (d) 13
  15. 15.What is the average of all the whole numbers from 41 to 63? (a) 22 (b) 52 (c) 53 (d) 11
  16. 16.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 40 (b) 54 (c) 90 (d) 58
  17. 17.What is the average of 63, 56, 58 and 63? (a) 61 (b) 60 (c) 80 (d) 59
  18. 18.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 111 (b) 70 (c) 55 (d) 48
  19. 19.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 37 (b) 90 (c) 36 (d) 44
  20. 20.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 12 (b) 50 (c) 48 (d) 58
  21. 21.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 20 (b) 18 (c) 33 (d) 31
  22. 22.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 81 (b) 87 (c) 46 (d) 40
  23. 23.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 87 (c) 71 (d) 32
  24. 24.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 65 (b) 11 (c) 10 (d) 31
  25. 25.What is the average of 41, 28, 31 and 44? (a) 36 (b) 48 (c) 37 (d) 35
  26. 26.What is the average of 69, 80, 85, 64, 72 and 62? (a) 71 (b) 72 (c) 73 (d) 74
  27. 27.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 58 (c) 106 (d) 60
  28. 28.What is the average of all the whole numbers from 59 to 65? (a) 62 (b) 6 (c) 3 (d) 63
  29. 29.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) 31 (b) 30 (c) 90 (d) 44
  30. 30.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 8 (b) 7 (c) 59 (d) 27
  31. 31.What is the average of all the whole numbers from 20 to 36? (a) 16 (b) 29 (c) 8 (d) 28
  32. 32.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 32 (b) 23 (c) 43 (d) 12
  33. 33.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 48 (b) 20 (c) 46 (d) 64
  34. 34.What is the average of 30, 6, 14, 16, 27 and 27? (a) 24 (b) 20 (c) 19 (d) 21
  35. 35.What is the average of all the whole numbers from 59 to 99? (a) 40 (b) 79 (c) 20 (d) 80
  36. 36.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 19 (b) 36 (c) 10 (d) 27
  37. 37.What is the average of all the whole numbers from 5 to 11? (a) 3 (b) 9 (c) 6 (d) 8
  38. 38.What is the average of 22, 15, 15 and 60? (a) 28 (b) 30 (c) 29 (d) 27
  39. 39.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 51 (c) 48 (d) 87
  40. 40.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 7 (b) 8 (c) 13 (d) 28

Answer key

  1. 85
  2. 23
  3. 20
  4. 24
  5. 79
  6. 87
  7. 62
  8. 52
  9. 32
  10. 71
  11. 62
  12. 40
  13. 77
  14. 12
  15. 52
  16. 90
  17. 60
  18. 111
  19. 36
  20. 58
  21. 33
  22. 81
  23. 87
  24. 10
  25. 36
  26. 72
  27. 106
  28. 62
  29. 30
  30. 7
  31. 28
  32. 32
  33. 64
  34. 20
  35. 79
  36. 27
  37. 8
  38. 28
  39. 87
  40. 7

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