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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 319 · 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 21 to 49? (a) 14 (b) 28 (c) 35 (d) 36
  2. 2.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 38 (b) 30 (c) 80 (d) 102
  3. 3.What is the average of all the whole numbers from 28 to 66? (a) 19 (b) 38 (c) 48 (d) 47
  4. 4.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 48 (b) 30 (c) 72 (d) 36
  5. 5.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 43 (b) 49 (c) 100 (d) 44
  6. 6.What is the average of all the whole numbers from 44 to 62? (a) 53 (b) 9 (c) 54 (d) 18
  7. 7.What is the average of all the whole numbers from 39 to 51? (a) 12 (b) 46 (c) 6 (d) 45
  8. 8.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 14 (c) 58 (d) 48
  9. 9.What is the average of all the whole numbers from 9 to 15? (a) 6 (b) 12 (c) 3 (d) 13
  10. 10.What is the average of 57, 55, 57, 80, 52 and 89? (a) 78 (b) 65 (c) 64 (d) 66
  11. 11.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 28 (b) 51 (c) 44 (d) 65
  12. 12.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 31 (b) 75 (c) 30 (d) 37
  13. 13.What is the average of all the whole numbers from 9 to 29? (a) 18 (b) 10 (c) 20 (d) 19
  14. 14.What is the average of 73, 84, 73, 65 and 95? (a) 78 (b) 80 (c) 77 (d) 79
  15. 15.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 30 (b) 48 (c) 68 (d) 43
  16. 16.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 63 (b) 101 (c) 52 (d) 45
  17. 17.What is the average of 50, 61, 54, 50 and 110? (a) 67 (b) 66 (c) 64 (d) 65
  18. 18.What is the average of all the whole numbers from 42 to 52? (a) 5 (b) 10 (c) 47 (d) 48
  19. 19.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 68 (c) 64 (d) 8
  20. 20.What is the average of 23, 13, 24 and 36? (a) 23 (b) 32 (c) 24 (d) 25
  21. 21.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 34 (b) 94 (c) 46 (d) 35
  22. 22.What is the average of all the whole numbers from 22 to 50? (a) 14 (b) 36 (c) 37 (d) 28
  23. 23.What is the average of 21, 18, 13 and 28? (a) 22 (b) 19 (c) 20 (d) 21
  24. 24.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 83 (b) 40 (c) 26 (d) 25
  25. 25.What is the average of 49, 54, 51, 50 and 36? (a) 48 (b) 49 (c) 47 (d) 60
  26. 26.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 36 (b) 25 (c) 67 (d) 56
  27. 27.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 12 (b) 19 (c) 13 (d) 39
  28. 28.What is the average of 64, 60, 64, 79 and 53? (a) 64 (b) 65 (c) 63 (d) 80
  29. 29.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 66? (a) 80 (b) 74 (c) 138 (d) 66
  30. 30.What is the average of 9, 36, 33, 24 and 13? (a) 24 (b) 22 (c) 23 (d) 25
  31. 31.What is the average of all the whole numbers from 55 to 87? (a) 16 (b) 71 (c) 72 (d) 32
  32. 32.What is the average of 65, 55, 45, 65 and 20? (a) 50 (b) 49 (c) 51 (d) 52
  33. 33.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 12 (b) 53 (c) 37 (d) 28
  34. 34.What is the average of 33, 51, 39, 37, 22 and 40? (a) 37 (b) 36 (c) 38 (d) 39
  35. 35.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 63 (c) 21 (d) 48
  36. 36.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 8 (c) 50 (d) 54
  37. 37.What is the average of all the whole numbers from 60 to 90? (a) 15 (b) 30 (c) 76 (d) 75
  38. 38.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 68 (c) 62 (d) 10
  39. 39.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 20 (b) 36 (c) 44 (d) 28
  40. 40.What is the average of all the whole numbers from 6 to 42? (a) 25 (b) 24 (c) 36 (d) 18

Answer key

  1. 35
  2. 102
  3. 47
  4. 72
  5. 43
  6. 53
  7. 45
  8. 58
  9. 12
  10. 65
  11. 65
  12. 30
  13. 19
  14. 78
  15. 68
  16. 101
  17. 65
  18. 47
  19. 68
  20. 24
  21. 34
  22. 36
  23. 20
  24. 25
  25. 48
  26. 56
  27. 12
  28. 64
  29. 138
  30. 23
  31. 71
  32. 50
  33. 37
  34. 37
  35. 63
  36. 54
  37. 75
  38. 68
  39. 44
  40. 24

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