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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 543 · 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 46, 47, 35 and 32? (a) 42 (b) 40 (c) 39 (d) 41
  2. 2.What is the average of all the whole numbers from 13 to 29? (a) 21 (b) 16 (c) 8 (d) 22
  3. 3.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 83 (b) 62 (c) 35 (d) 55
  4. 4.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 22 (b) 15 (c) 8 (d) 29
  5. 5.What is the average of 18, 10, 30, 12 and 45? (a) 25 (b) 23 (c) 22 (d) 24
  6. 6.What is the average of 25, 29, 50, 25 and 61? (a) 39 (b) 37 (c) 40 (d) 38
  7. 7.What is the average of 53, 43, 49, 52 and 58? (a) 52 (b) 53 (c) 51 (d) 50
  8. 8.What is the average of all the whole numbers from 54 to 90? (a) 72 (b) 73 (c) 36 (d) 18
  9. 9.What is the average of 67, 51, 52 and 58? (a) 56 (b) 58 (c) 76 (d) 57
  10. 10.What is the average of 49, 31, 45 and 27? (a) 39 (b) 37 (c) 38 (d) 40
  11. 11.What is the average of 40, 49, 45, 44, 56 and 36? (a) 44 (b) 46 (c) 45 (d) 54
  12. 12.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 16 (b) 63 (c) 51 (d) 55
  13. 13.What is the average of 42, 35, 20 and 43? (a) 37 (b) 35 (c) 36 (d) 34
  14. 14.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 21 (b) 39 (c) 57 (d) 75
  15. 15.What is the average of all the whole numbers from 5 to 35? (a) 20 (b) 15 (c) 30 (d) 21
  16. 16.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 35 (b) 19 (c) 21 (d) 37
  17. 17.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 60? (a) 67 (b) 42 (c) 95 (d) 60
  18. 18.What is the average of 65, 60, 82, 79 and 49? (a) 68 (b) 69 (c) 67 (d) 66
  19. 19.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 23? (a) 26 (b) 24 (c) 44 (d) 23
  20. 20.What is the average of all the whole numbers from 10 to 32? (a) 22 (b) 11 (c) 21 (d) 20
  21. 21.What is the average of 73, 79, 68, 56, 75 and 69? (a) 70 (b) 69 (c) 71 (d) 84
  22. 22.What is the average of 78, 56, 72, 66 and 48? (a) 64 (b) 80 (c) 65 (d) 63
  23. 23.What is the average of 12, 20, 30, 31 and 17? (a) 23 (b) 21 (c) 24 (d) 22
  24. 24.What is the average of 94, 83, 92 and 51? (a) 79 (b) 82 (c) 80 (d) 81
  25. 25.What is the average of 47, 45, 61, 63, 51 and 63? (a) 56 (b) 66 (c) 55 (d) 54
  26. 26.What is the average of 58, 59, 88 and 87? (a) 75 (b) 72 (c) 73 (d) 74
  27. 27.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 4 (b) 20 (c) 33 (d) 17
  28. 28.What is the average of 65, 82, 70, 87, 71 and 87? (a) 78 (b) 76 (c) 77 (d) 79
  29. 29.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 50 (b) 30 (c) 45 (d) 25
  30. 30.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 25 (c) 58 (d) 73
  31. 31.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 50 (b) 59 (c) 64 (d) 104
  32. 32.What is the average of 18, 26, 27, 15, 32 and 8? (a) 22 (b) 23 (c) 21 (d) 20
  33. 33.What is the average of 95, 67, 68, 77, 68 and 105? (a) 81 (b) 79 (c) 80 (d) 96
  34. 34.What is the average of 51, 41, 36, 30, 55 and 51? (a) 45 (b) 46 (c) 43 (d) 44
  35. 35.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 101 (b) 48 (c) 50 (d) 47
  36. 36.What is the average of 32, 44, 32, 42 and 65? (a) 42 (b) 44 (c) 45 (d) 43
  37. 37.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 66 (b) 40 (c) 31 (d) 57
  38. 38.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 52? (a) 12 (b) 62 (c) 54 (d) 52
  39. 39.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 26? (a) 61 (b) 31 (c) 40 (d) 26
  40. 40.What is the average of all the whole numbers from 12 to 42? (a) 28 (b) 27 (c) 30 (d) 15

Answer key

  1. 40
  2. 21
  3. 83
  4. 22
  5. 23
  6. 38
  7. 51
  8. 72
  9. 57
  10. 38
  11. 45
  12. 63
  13. 35
  14. 57
  15. 20
  16. 37
  17. 95
  18. 67
  19. 44
  20. 21
  21. 70
  22. 64
  23. 22
  24. 80
  25. 55
  26. 73
  27. 20
  28. 77
  29. 50
  30. 73
  31. 104
  32. 21
  33. 80
  34. 44
  35. 47
  36. 43
  37. 66
  38. 62
  39. 61
  40. 27

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