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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 152 · 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 6 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 39 (b) 15 (c) 14 (d) 83
  2. 2.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 52 (b) 76 (c) 16 (d) 40
  3. 3.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 54 (b) 110 (c) 68 (d) 62
  4. 4.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 69 (b) 19 (c) 33 (d) 18
  5. 5.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 52 (b) 15 (c) 40 (d) 43
  6. 6.What is the average of 47, 70, 49, 45 and 84? (a) 59 (b) 61 (c) 58 (d) 60
  7. 7.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 58 (c) 27 (d) 79
  8. 8.What is the average of all the whole numbers from 57 to 91? (a) 74 (b) 34 (c) 75 (d) 17
  9. 9.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 85 (c) 54 (d) 43
  10. 10.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 61? (a) 61 (b) 67 (c) 60 (d) 115
  11. 11.What is the average of all the whole numbers from 49 to 79? (a) 65 (b) 30 (c) 64 (d) 15
  12. 12.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 30 (b) 69 (c) 49 (d) 44
  13. 13.What is the average of all the whole numbers from 59 to 79? (a) 70 (b) 69 (c) 20 (d) 10
  14. 14.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 29? (a) 29 (b) 30 (c) 35 (d) 53
  15. 15.What is the average of 57, 60, 36, 62 and 35? (a) 51 (b) 49 (c) 52 (d) 50
  16. 16.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 63 (b) 20 (c) 59 (d) 75
  17. 17.What is the average of 26, 21, 47, 25 and 51? (a) 35 (b) 36 (c) 33 (d) 34
  18. 18.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 30 (b) 19 (c) 63 (d) 18
  19. 19.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 34 (b) 6 (c) 57 (d) 29
  20. 20.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 42 (b) 40 (c) 39 (d) 85
  21. 21.What is the average of 31, 26, 26, 42 and 60? (a) 39 (b) 38 (c) 37 (d) 36
  22. 22.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 25 (b) 53 (c) 38 (d) 33
  23. 23.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 50? (a) 56 (b) 42 (c) 86 (d) 50
  24. 24.What is the average of 28, 26, 12, 19 and 40? (a) 26 (b) 25 (c) 24 (d) 27
  25. 25.What is the average of all the whole numbers from 14 to 22? (a) 19 (b) 18 (c) 8 (d) 4
  26. 26.What is the average of all the whole numbers from 23 to 41? (a) 18 (b) 9 (c) 33 (d) 32
  27. 27.What is the average of 81, 86, 90 and 43? (a) 76 (b) 75 (c) 100 (d) 74
  28. 28.What is the average of 68, 67, 74 and 43? (a) 62 (b) 64 (c) 84 (d) 63
  29. 29.What is the average of 66, 59, 55, 75, 57 and 78? (a) 65 (b) 78 (c) 64 (d) 66
  30. 30.What is the average of 34, 24, 25, 34 and 38? (a) 33 (b) 32 (c) 31 (d) 30
  31. 31.What is the average of all the whole numbers from 42 to 64? (a) 11 (b) 54 (c) 53 (d) 22
  32. 32.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 51 (b) 81 (c) 42 (d) 45
  33. 33.What is the average of all the whole numbers from 26 to 56? (a) 15 (b) 42 (c) 41 (d) 30
  34. 34.What is the average of 75, 63, 72, 78 and 97? (a) 78 (b) 79 (c) 76 (d) 77
  35. 35.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 30 (b) 8 (c) 59 (d) 37
  36. 36.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 43 (b) 32 (c) 31 (d) 88
  37. 37.What is the average of 77, 53, 61, 67, 59 and 91? (a) 67 (b) 70 (c) 68 (d) 69
  38. 38.What is the average of 39, 25, 37, 31 and 8? (a) 28 (b) 35 (c) 29 (d) 27
  39. 39.What is the average of 27, 41, 34 and 58? (a) 39 (b) 41 (c) 40 (d) 42
  40. 40.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 47 (b) 66 (c) 35 (d) 16

Answer key

  1. 14
  2. 52
  3. 110
  4. 18
  5. 52
  6. 59
  7. 79
  8. 74
  9. 85
  10. 115
  11. 64
  12. 69
  13. 69
  14. 53
  15. 50
  16. 75
  17. 34
  18. 18
  19. 34
  20. 39
  21. 37
  22. 53
  23. 86
  24. 25
  25. 18
  26. 32
  27. 75
  28. 63
  29. 65
  30. 31
  31. 53
  32. 81
  33. 41
  34. 77
  35. 37
  36. 31
  37. 68
  38. 28
  39. 40
  40. 47

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