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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 571 · 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 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 47 (b) 24 (c) 59 (d) 41
  2. 2.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 21 (b) 5 (c) 10 (d) 4
  3. 3.What is the average of 44, 21, 38 and 21? (a) 33 (b) 32 (c) 31 (d) 30
  4. 4.What is the average of 34, 34, 17, 18 and 7? (a) 23 (b) 22 (c) 21 (d) 24
  5. 5.What is the average of all the whole numbers from 58 to 72? (a) 14 (b) 66 (c) 7 (d) 65
  6. 6.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 49 (b) 43 (c) 45 (d) 8
  7. 7.What is the average of all the whole numbers from 46 to 82? (a) 65 (b) 64 (c) 36 (d) 18
  8. 8.What is the average of all the whole numbers from 12 to 40? (a) 14 (b) 28 (c) 27 (d) 26
  9. 9.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 73 (b) 35 (c) 69 (d) 39
  10. 10.What is the average of all the whole numbers from 46 to 60? (a) 14 (b) 7 (c) 54 (d) 53
  11. 11.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 56 (b) 28 (c) 32 (d) 52
  12. 12.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 16 (b) 15 (c) 63 (d) 30
  13. 13.What is the average of 42, 58, 34, 61 and 40? (a) 49 (b) 46 (c) 47 (d) 48
  14. 14.What is the average of 39, 32, 15 and 18? (a) 27 (b) 28 (c) 26 (d) 25
  15. 15.What is the average of 34, 16, 29, 22, 19 and 42? (a) 26 (b) 29 (c) 28 (d) 27
  16. 16.What is the average of 29, 34, 24 and 61? (a) 37 (b) 38 (c) 39 (d) 36
  17. 17.What is the average of all the whole numbers from 13 to 23? (a) 5 (b) 10 (c) 19 (d) 18
  18. 18.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) 68 (c) 40 (d) 33
  19. 19.What is the average of 36, 19, 31, 29, 20 and 21? (a) 27 (b) 28 (c) 26 (d) 25
  20. 20.What is the average of 39, 46, 43, 46, 31 and 47? (a) 41 (b) 44 (c) 42 (d) 43
  21. 21.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 26 (b) 8 (c) 50 (d) 32
  22. 22.What is the average of 49, 47, 57, 47 and 100? (a) 75 (b) 61 (c) 59 (d) 60
  23. 23.What is the average of all the whole numbers from 36 to 52? (a) 16 (b) 8 (c) 44 (d) 45
  24. 24.What is the average of 29, 39, 39, 23 and 15? (a) 30 (b) 28 (c) 29 (d) 31
  25. 25.What is the average of 21, 29, 33 and 41? (a) 33 (b) 32 (c) 30 (d) 31
  26. 26.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 24 (b) 83 (c) 63 (d) 67
  27. 27.What is the average of all the whole numbers from 27 to 57? (a) 42 (b) 15 (c) 30 (d) 43
  28. 28.What is the average of 49, 55, 69, 40 and 62? (a) 54 (b) 56 (c) 57 (d) 55
  29. 29.What is the average of 58, 60, 59 and 31? (a) 54 (b) 53 (c) 51 (d) 52
  30. 30.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 30 (b) 78 (c) 51 (d) 54
  31. 31.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 67 (c) 80 (d) 131
  32. 32.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 64 (b) 58 (c) 8 (d) 60
  33. 33.What is the average of 65, 78, 76, 87 and 89? (a) 81 (b) 80 (c) 78 (d) 79
  34. 34.A batter has an average of 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 18 (b) 61 (c) 47 (d) 45
  35. 35.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 8 (b) 41 (c) 7 (d) 19
  36. 36.What is the average of 24, 21, 20, 45, 43 and 27? (a) 36 (b) 29 (c) 30 (d) 31
  37. 37.What is the average of all the whole numbers from 55 to 63? (a) 59 (b) 4 (c) 8 (d) 60
  38. 38.What is the average of all the whole numbers from 8 to 26? (a) 17 (b) 18 (c) 16 (d) 9
  39. 39.What is the average of all the whole numbers from 14 to 38? (a) 24 (b) 26 (c) 27 (d) 12
  40. 40.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 26? (a) 53 (b) 29 (c) 30 (d) 26

Answer key

  1. 59
  2. 4
  3. 31
  4. 22
  5. 65
  6. 49
  7. 64
  8. 26
  9. 69
  10. 53
  11. 56
  12. 15
  13. 47
  14. 26
  15. 27
  16. 37
  17. 18
  18. 68
  19. 26
  20. 42
  21. 32
  22. 60
  23. 44
  24. 29
  25. 31
  26. 83
  27. 42
  28. 55
  29. 52
  30. 78
  31. 131
  32. 64
  33. 79
  34. 61
  35. 7
  36. 30
  37. 59
  38. 17
  39. 26
  40. 53

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