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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 902 · 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 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 60 (b) 12 (c) 54 (d) 51
  2. 2.What is the average of 42, 43, 46 and 5? (a) 36 (b) 35 (c) 33 (d) 34
  3. 3.What is the average of 42, 60, 38, 52 and 63? (a) 53 (b) 52 (c) 51 (d) 50
  4. 4.What is the average of 62, 74, 54, 48, 58 and 64? (a) 59 (b) 72 (c) 60 (d) 61
  5. 5.What is the average of all the whole numbers from 24 to 34? (a) 29 (b) 10 (c) 5 (d) 30
  6. 6.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 55 (b) 21 (c) 20 (d) 27
  7. 7.What is the average of all the whole numbers from 27 to 63? (a) 36 (b) 18 (c) 46 (d) 45
  8. 8.What is the average of all the whole numbers from 13 to 49? (a) 18 (b) 31 (c) 32 (d) 36
  9. 9.What is the average of 89, 77, 88, 92, 70 and 52? (a) 77 (b) 80 (c) 78 (d) 79
  10. 10.What is the average of 71, 50, 45 and 62? (a) 76 (b) 57 (c) 56 (d) 58
  11. 11.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 25 (b) 33 (c) 61 (d) 53
  12. 12.What is the average of 59, 78, 52, 66 and 75? (a) 68 (b) 67 (c) 65 (d) 66
  13. 13.What is the average of all the whole numbers from 18 to 34? (a) 27 (b) 16 (c) 26 (d) 8
  14. 14.What is the average of all the whole numbers from 34 to 42? (a) 4 (b) 38 (c) 8 (d) 39
  15. 15.What is the average of all the whole numbers from 31 to 37? (a) 6 (b) 34 (c) 3 (d) 35
  16. 16.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 20 (b) 30 (c) 28 (d) 46
  17. 17.What is the average of 33, 47, 53 and 43? (a) 44 (b) 45 (c) 43 (d) 46
  18. 18.What is the average of all the whole numbers from 39 to 49? (a) 44 (b) 5 (c) 10 (d) 45
  19. 19.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 2 (b) 3 (c) 26 (d) 12
  20. 20.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 67 (b) 29 (c) 33 (d) 28
  21. 21.What is the average of 38, 45, 60 and 37? (a) 45 (b) 44 (c) 46 (d) 60
  22. 22.What is the average of all the whole numbers from 9 to 33? (a) 12 (b) 22 (c) 21 (d) 24
  23. 23.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 26 (b) 10 (c) 18 (d) 34
  24. 24.What is the average of all the whole numbers from 32 to 56? (a) 12 (b) 24 (c) 44 (d) 45
  25. 25.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 24 (b) 22 (c) 41 (d) 43
  26. 26.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 30 (c) 8 (d) 26
  27. 27.What is the average of all the whole numbers from 58 to 88? (a) 73 (b) 15 (c) 74 (d) 30
  28. 28.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 5 (b) 38 (c) 18 (d) 4
  29. 29.What is the average of 31, 56, 38, 37 and 68? (a) 48 (b) 45 (c) 46 (d) 47
  30. 30.What is the average of 46, 59, 52, 60 and 53? (a) 54 (b) 53 (c) 55 (d) 56
  31. 31.What is the average of 85, 72, 77, 62, 73 and 81? (a) 74 (b) 76 (c) 75 (d) 90
  32. 32.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 43 (b) 83 (c) 18 (d) 58
  33. 33.What is the average of all the whole numbers from 45 to 57? (a) 12 (b) 51 (c) 6 (d) 52
  34. 34.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 36 (b) 59 (c) 31 (d) 27
  35. 35.What is the average of 26, 25, 51 and 42? (a) 35 (b) 36 (c) 48 (d) 37
  36. 36.What is the average of all the whole numbers from 8 to 34? (a) 26 (b) 21 (c) 22 (d) 13
  37. 37.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 17 (b) 59 (c) 28 (d) 16
  38. 38.What is the average of all the whole numbers from 31 to 65? (a) 48 (b) 49 (c) 34 (d) 17
  39. 39.What is the average of 67, 76, 66 and 99? (a) 77 (b) 76 (c) 79 (d) 78
  40. 40.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 35 (b) 16 (c) 40 (d) 21

Answer key

  1. 60
  2. 34
  3. 51
  4. 60
  5. 29
  6. 20
  7. 45
  8. 31
  9. 78
  10. 57
  11. 53
  12. 66
  13. 26
  14. 38
  15. 34
  16. 46
  17. 44
  18. 44
  19. 2
  20. 28
  21. 45
  22. 21
  23. 26
  24. 44
  25. 43
  26. 30
  27. 73
  28. 4
  29. 46
  30. 54
  31. 75
  32. 58
  33. 51
  34. 59
  35. 36
  36. 21
  37. 16
  38. 48
  39. 77
  40. 35

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