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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 924 · 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 all the whole numbers from 43 to 53? (a) 10 (b) 5 (c) 49 (d) 48
  2. 2.What is the average of all the whole numbers from 23 to 45? (a) 35 (b) 34 (c) 22 (d) 11
  3. 3.What is the average of 35, 17, 28, 34, 10 and 14? (a) 24 (b) 23 (c) 22 (d) 25
  4. 4.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 49 (b) 32 (c) 94 (d) 77
  5. 5.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 61 (b) 59 (c) 60 (d) 32
  6. 6.What is the average of all the whole numbers from 19 to 43? (a) 12 (b) 31 (c) 24 (d) 32
  7. 7.What is the average of all the whole numbers from 29 to 43? (a) 7 (b) 36 (c) 37 (d) 14
  8. 8.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 30 (b) 41 (c) 38 (d) 65
  9. 9.What is the average of 56, 71, 52, 61, 64 and 62? (a) 62 (b) 60 (c) 63 (d) 61
  10. 10.What is the average of all the whole numbers from 50 to 78? (a) 64 (b) 28 (c) 65 (d) 14
  11. 11.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 64 (b) 57 (c) 92 (d) 42
  12. 12.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 16 (b) 37 (c) 2 (d) 1
  13. 13.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 81 (b) 27 (c) 60 (d) 33
  14. 14.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) 18 (b) 60 (c) 58 (d) 74
  15. 15.What is the average of 24, 8, 20 and 28? (a) 22 (b) 20 (c) 19 (d) 21
  16. 16.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 41 (c) 57 (d) 24
  17. 17.What is the average of 59, 52, 41 and 60? (a) 55 (b) 54 (c) 52 (d) 53
  18. 18.What is the average of all the whole numbers from 13 to 37? (a) 26 (b) 25 (c) 24 (d) 12
  19. 19.What is the average of all the whole numbers from 26 to 48? (a) 37 (b) 22 (c) 11 (d) 38
  20. 20.What is the average of 12, 8, 10 and 54? (a) 28 (b) 21 (c) 20 (d) 22
  21. 21.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 41 (b) 20 (c) 13 (d) 14
  22. 22.What is the average of 60, 78, 52 and 66? (a) 65 (b) 66 (c) 64 (d) 63
  23. 23.What is the average of 66, 78, 80 and 96? (a) 79 (b) 82 (c) 81 (d) 80
  24. 24.What is the average of all the whole numbers from 60 to 66? (a) 3 (b) 6 (c) 63 (d) 64
  25. 25.What is the average of 56, 62, 68, 69 and 100? (a) 72 (b) 71 (c) 70 (d) 73
  26. 26.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 27 (c) 12 (d) 35
  27. 27.What is the average of 54, 24, 45, 36, 42 and 33? (a) 38 (b) 39 (c) 40 (d) 41
  28. 28.What is the average of all the whole numbers from 31 to 51? (a) 42 (b) 20 (c) 41 (d) 10
  29. 29.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 42 (b) 95 (c) 41 (d) 47
  30. 30.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 72 (c) 63 (d) 119
  31. 31.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 58 (b) 16 (c) 66 (d) 54
  32. 32.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 25 (b) 65 (c) 50 (d) 45
  33. 33.What is the average of 63, 60, 62, 62, 66 and 65? (a) 64 (b) 62 (c) 65 (d) 63
  34. 34.What is the average of 78, 63, 60, 49, 78 and 56? (a) 63 (b) 66 (c) 64 (d) 65
  35. 35.What is the average of 67, 68, 60, 68, 72 and 115? (a) 90 (b) 74 (c) 76 (d) 75
  36. 36.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 93 (b) 48 (c) 18 (d) 63
  37. 37.What is the average of all the whole numbers from 34 to 66? (a) 50 (b) 51 (c) 32 (d) 16
  38. 38.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 79 (c) 48 (d) 78
  39. 39.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 40 (b) 33 (c) 65 (d) 29
  40. 40.What is the average of 28, 34, 51, 53 and 49? (a) 44 (b) 45 (c) 42 (d) 43

Answer key

  1. 48
  2. 34
  3. 23
  4. 77
  5. 60
  6. 31
  7. 36
  8. 65
  9. 61
  10. 64
  11. 92
  12. 1
  13. 81
  14. 74
  15. 20
  16. 57
  17. 53
  18. 25
  19. 37
  20. 21
  21. 13
  22. 64
  23. 80
  24. 63
  25. 71
  26. 35
  27. 39
  28. 41
  29. 41
  30. 119
  31. 66
  32. 65
  33. 63
  34. 64
  35. 75
  36. 63
  37. 50
  38. 78
  39. 65
  40. 43

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