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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 458 · 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.What is the average of 34, 36, 45 and 49? (a) 43 (b) 40 (c) 41 (d) 42
  2. 2.What is the average of 35, 22, 15 and 16? (a) 23 (b) 21 (c) 24 (d) 22
  3. 3.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 66? (a) 73 (b) 94 (c) 35 (d) 66
  4. 4.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 34 (b) 10 (c) 11 (d) 16
  5. 5.What is the average of 73, 87, 75 and 81? (a) 81 (b) 78 (c) 80 (d) 79
  6. 6.What is the average of 15, 22, 16, 36, 35 and 44? (a) 29 (b) 27 (c) 28 (d) 30
  7. 7.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) 22 (b) 10 (c) 30 (d) 24
  8. 8.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 30 (b) 28 (c) 14 (d) 40
  9. 9.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 59? (a) 59 (b) 91 (c) 36 (d) 63
  10. 10.What is the average of all the whole numbers from 33 to 65? (a) 49 (b) 50 (c) 32 (d) 16
  11. 11.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 20 (b) 19 (c) 49 (d) 103
  12. 12.What is the average of 61, 76, 62 and 89? (a) 72 (b) 71 (c) 96 (d) 73
  13. 13.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 44 (b) 40 (c) 72 (d) 36
  14. 14.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 42 (c) 33 (d) 15
  15. 15.What is the average of 53, 45, 61 and 45? (a) 50 (b) 52 (c) 68 (d) 51
  16. 16.What is the average of 49, 33, 41 and 29? (a) 37 (b) 39 (c) 40 (d) 38
  17. 17.What is the average of 49, 42, 57, 52 and 85? (a) 59 (b) 58 (c) 56 (d) 57
  18. 18.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 49 (b) 17 (c) 24 (d) 18
  19. 19.What is the average of 57, 42, 51, 44, 59 and 29? (a) 46 (b) 49 (c) 47 (d) 48
  20. 20.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 42 (b) 60 (c) 36 (d) 30
  21. 21.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 80 (b) 55 (c) 119 (d) 47
  22. 22.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 53 (b) 51 (c) 14 (d) 63
  23. 23.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
  24. 24.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 66 (b) 12 (c) 31 (d) 11
  25. 25.What is the average of 52, 42, 30, 30, 49 and 67? (a) 46 (b) 44 (c) 54 (d) 45
  26. 26.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 51 (b) 23 (c) 32 (d) 42
  27. 27.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 28 (b) 17 (c) 16 (d) 60
  28. 28.What is the average of 46, 28, 29 and 25? (a) 33 (b) 31 (c) 32 (d) 34
  29. 29.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 22 (b) 57 (c) 40 (d) 39
  30. 30.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 17 (b) 35 (c) 41 (d) 11
  31. 31.What is the average of 84, 85, 69, 82, 75 and 49? (a) 75 (b) 76 (c) 73 (d) 74
  32. 32.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 52 (b) 48 (c) 24 (d) 28
  33. 33.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 26 (b) 25 (c) 33 (d) 68
  34. 34.What is the average of 14, 12, 17, 10, 11 and 68? (a) 22 (b) 23 (c) 21 (d) 24
  35. 35.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 60 (b) 58 (c) 16 (d) 72
  36. 36.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 65 (b) 31 (c) 14 (d) 13
  37. 37.What is the average of 33, 47, 38 and 46? (a) 42 (b) 43 (c) 41 (d) 40
  38. 38.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 12 (b) 43 (c) 51 (d) 41
  39. 39.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 63 (c) 80 (d) 127
  40. 40.What is the average of all the whole numbers from 9 to 15? (a) 12 (b) 13 (c) 6 (d) 3

Answer key

  1. 41
  2. 22
  3. 94
  4. 10
  5. 79
  6. 28
  7. 30
  8. 40
  9. 91
  10. 49
  11. 19
  12. 72
  13. 72
  14. 42
  15. 51
  16. 38
  17. 57
  18. 17
  19. 47
  20. 60
  21. 119
  22. 63
  23. 77
  24. 11
  25. 45
  26. 51
  27. 16
  28. 32
  29. 57
  30. 41
  31. 74
  32. 48
  33. 25
  34. 22
  35. 72
  36. 13
  37. 41
  38. 51
  39. 127
  40. 12

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