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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 767 · 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.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 25 (b) 21 (c) 32 (d) 14
  2. 2.What is the average of all the whole numbers from 50 to 66? (a) 58 (b) 8 (c) 16 (d) 59
  3. 3.What is the average of all the whole numbers from 40 to 80? (a) 40 (b) 60 (c) 20 (d) 61
  4. 4.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 31 (b) 71 (c) 30 (d) 35
  5. 5.What is the average of 13, 14, 25 and 44? (a) 25 (b) 24 (c) 32 (d) 23
  6. 6.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 54 (c) 53 (d) 95
  7. 7.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 52 (b) 44 (c) 40 (d) 16
  8. 8.What is the average of all the whole numbers from 36 to 56? (a) 47 (b) 20 (c) 46 (d) 10
  9. 9.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 52? (a) 45 (b) 92 (c) 52 (d) 57
  10. 10.What is the average of 27, 16, 17 and 52? (a) 29 (b) 27 (c) 28 (d) 30
  11. 11.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 12 (b) 62 (c) 72 (d) 64
  12. 12.What is the average of 55, 51, 61, 74, 74 and 69? (a) 65 (b) 66 (c) 64 (d) 63
  13. 13.What is the average of 58, 56, 55, 83 and 98? (a) 71 (b) 69 (c) 70 (d) 72
  14. 14.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 4 (b) 3 (c) 28 (d) 61
  15. 15.What is the average of 79, 80, 61 and 60? (a) 71 (b) 72 (c) 69 (d) 70
  16. 16.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 74 (b) 18 (c) 62 (d) 59
  17. 17.What is the average of all the whole numbers from 32 to 54? (a) 22 (b) 11 (c) 44 (d) 43
  18. 18.What is the average of all the whole numbers from 17 to 47? (a) 32 (b) 30 (c) 15 (d) 33
  19. 19.What is the average of 50, 54, 72, 49 and 85? (a) 64 (b) 62 (c) 63 (d) 61
  20. 20.What is the average of 37, 60, 62 and 33? (a) 49 (b) 64 (c) 47 (d) 48
  21. 21.What is the average of all the whole numbers from 23 to 61? (a) 38 (b) 42 (c) 43 (d) 19
  22. 22.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 19 (b) 37 (c) 8 (d) 26
  23. 23.What is the average of all the whole numbers from 39 to 77? (a) 19 (b) 38 (c) 58 (d) 59
  24. 24.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 50 (b) 43 (c) 78 (d) 42
  25. 25.What is the average of 65, 41, 41, 42, 53 and 58? (a) 49 (b) 60 (c) 51 (d) 50
  26. 26.What is the average of 51, 52, 40 and 37? (a) 44 (b) 46 (c) 45 (d) 60
  27. 27.What is the average of all the whole numbers from 10 to 36? (a) 26 (b) 24 (c) 13 (d) 23
  28. 28.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 56 (b) 37 (c) 29 (d) 10
  29. 29.What is the average of 18, 39, 24, 28 and 11? (a) 23 (b) 24 (c) 30 (d) 25
  30. 30.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 80 (b) 50 (c) 95 (d) 35
  31. 31.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 96 (c) 72 (d) 40
  32. 32.What is the average of 73, 51, 55 and 81? (a) 66 (b) 64 (c) 67 (d) 65
  33. 33.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 24 (b) 35 (c) 53 (d) 41
  34. 34.What is the average of all the whole numbers from 51 to 61? (a) 56 (b) 57 (c) 5 (d) 10
  35. 35.What is the average of 21, 20, 27, 31, 20 and 55? (a) 28 (b) 29 (c) 31 (d) 30
  36. 36.What is the average of all the whole numbers from 42 to 74? (a) 16 (b) 59 (c) 32 (d) 58
  37. 37.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 40 (b) 41 (c) 65 (d) 33
  38. 38.What is the average of all the whole numbers from 6 to 24? (a) 9 (b) 15 (c) 16 (d) 18
  39. 39.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 49 (b) 30 (c) 52 (d) 27
  40. 40.What is the average of 18, 18, 34, 40 and 50? (a) 40 (b) 31 (c) 33 (d) 32

Answer key

  1. 32
  2. 58
  3. 60
  4. 30
  5. 24
  6. 95
  7. 52
  8. 46
  9. 92
  10. 28
  11. 72
  12. 64
  13. 70
  14. 3
  15. 70
  16. 74
  17. 43
  18. 32
  19. 62
  20. 48
  21. 42
  22. 26
  23. 58
  24. 78
  25. 50
  26. 45
  27. 23
  28. 37
  29. 24
  30. 80
  31. 96
  32. 65
  33. 53
  34. 56
  35. 29
  36. 58
  37. 65
  38. 15
  39. 52
  40. 32

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