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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 85 · 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 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 59 (b) 89 (c) 54 (d) 40
  2. 2.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 65 (b) 101 (c) 59 (d) 48
  3. 3.What is the average of 66, 66, 60, 85 and 78? (a) 73 (b) 71 (c) 70 (d) 72
  4. 4.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 27 (b) 97 (c) 26 (d) 47
  5. 5.What is the average of all the whole numbers from 13 to 35? (a) 24 (b) 22 (c) 11 (d) 25
  6. 6.What is the average of 54, 67, 52, 80 and 72? (a) 65 (b) 64 (c) 66 (d) 67
  7. 7.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 15 (b) 46 (c) 34 (d) 37
  8. 8.What is the average of 62, 70, 57 and 91? (a) 72 (b) 71 (c) 69 (d) 70
  9. 9.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 15 (b) 23 (c) 10 (d) 28
  10. 10.What is the average of all the whole numbers from 34 to 42? (a) 8 (b) 39 (c) 38 (d) 4
  11. 11.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 69 (b) 125 (c) 62 (d) 70
  12. 12.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 54 (b) 60 (c) 102 (d) 48
  13. 13.What is the average of 23, 33, 32, 26 and 76? (a) 37 (b) 39 (c) 40 (d) 38
  14. 14.What is the average of all the whole numbers from 54 to 80? (a) 68 (b) 26 (c) 67 (d) 13
  15. 15.What is the average of all the whole numbers from 35 to 73? (a) 38 (b) 19 (c) 55 (d) 54
  16. 16.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 27? (a) 56 (b) 76 (c) 34 (d) 27
  17. 17.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 20 (b) 27 (c) 43 (d) 31
  18. 18.What is the average of 23, 16, 25, 20, 11 and 25? (a) 20 (b) 24 (c) 19 (d) 21
  19. 19.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 27? (a) 27 (b) 48 (c) 69 (d) 33
  20. 20.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 50 (b) 42 (c) 64 (d) 98
  21. 21.What is the average of 37, 49, 31, 36 and 32? (a) 38 (b) 39 (c) 37 (d) 36
  22. 22.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 25? (a) 16 (b) 25 (c) 37 (d) 29
  23. 23.What is the average of all the whole numbers from 36 to 56? (a) 47 (b) 46 (c) 10 (d) 20
  24. 24.What is the average of all the whole numbers from 53 to 89? (a) 72 (b) 71 (c) 18 (d) 36
  25. 25.What is the average of 44, 41, 27 and 32? (a) 48 (b) 35 (c) 37 (d) 36
  26. 26.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 43 (b) 73 (c) 81 (d) 35
  27. 27.What is the average of 27, 51, 42, 36 and 39? (a) 41 (b) 40 (c) 39 (d) 38
  28. 28.What is the average of all the whole numbers from 24 to 44? (a) 20 (b) 35 (c) 34 (d) 10
  29. 29.What is the average of 85, 77, 79, 71 and 43? (a) 70 (b) 72 (c) 71 (d) 73
  30. 30.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 79 (c) 28 (d) 65
  31. 31.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 24 (b) 40 (c) 59 (d) 43
  32. 32.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 59? (a) 64 (b) 59 (c) 35 (d) 89
  33. 33.What is the average of all the whole numbers from 21 to 53? (a) 38 (b) 37 (c) 32 (d) 16
  34. 34.What is the average of all the whole numbers from 44 to 74? (a) 59 (b) 15 (c) 60 (d) 30
  35. 35.What is the average of 52, 69, 74 and 57? (a) 64 (b) 62 (c) 84 (d) 63
  36. 36.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 15 (c) 38 (d) 29
  37. 37.What is the average of 44, 47, 44 and 77? (a) 54 (b) 53 (c) 52 (d) 55
  38. 38.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 50? (a) 74 (b) 53 (c) 27 (d) 50
  39. 39.What is the average of all the whole numbers from 44 to 84? (a) 65 (b) 64 (c) 40 (d) 20
  40. 40.What is the average of all the whole numbers from 27 to 47? (a) 38 (b) 37 (c) 10 (d) 20

Answer key

  1. 89
  2. 101
  3. 71
  4. 26
  5. 24
  6. 65
  7. 46
  8. 70
  9. 23
  10. 38
  11. 125
  12. 102
  13. 38
  14. 67
  15. 54
  16. 76
  17. 43
  18. 20
  19. 69
  20. 98
  21. 37
  22. 37
  23. 46
  24. 71
  25. 36
  26. 73
  27. 39
  28. 34
  29. 71
  30. 79
  31. 59
  32. 89
  33. 37
  34. 59
  35. 63
  36. 38
  37. 53
  38. 74
  39. 64
  40. 37

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