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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 384 · 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 5 to 31? (a) 26 (b) 18 (c) 19 (d) 13
  2. 2.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 78 (b) 40 (c) 16 (d) 54
  3. 3.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 51 (b) 8 (c) 55 (d) 49
  4. 4.What is the average of 63, 57, 61, 64 and 20? (a) 55 (b) 54 (c) 53 (d) 52
  5. 5.What is the average of all the whole numbers from 50 to 72? (a) 22 (b) 11 (c) 61 (d) 62
  6. 6.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 28 (b) 42 (c) 35 (d) 56
  7. 7.What is the average of all the whole numbers from 27 to 57? (a) 30 (b) 42 (c) 43 (d) 15
  8. 8.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 40 (b) 20 (c) 38 (d) 22
  9. 9.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) 34 (b) 26 (c) 10 (d) 18
  10. 10.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 38 (b) 29 (c) 79 (d) 30
  11. 11.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) 42 (b) 86 (c) 50 (d) 56
  12. 12.What is the average of 72, 76, 80, 77, 89 and 56? (a) 76 (b) 75 (c) 74 (d) 90
  13. 13.What is the average of 16, 32, 29, 36 and 27? (a) 35 (b) 27 (c) 28 (d) 29
  14. 14.What is the average of 35, 23, 28 and 66? (a) 39 (b) 37 (c) 40 (d) 38
  15. 15.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 10 (b) 29 (c) 21 (d) 40
  16. 16.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 60 (b) 63 (c) 57 (d) 111
  17. 17.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 24 (b) 33 (c) 37 (d) 53
  18. 18.What is the average of all the whole numbers from 35 to 47? (a) 12 (b) 41 (c) 42 (d) 6
  19. 19.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 15 (b) 57 (c) 48 (d) 45
  20. 20.What is the average of all the whole numbers from 51 to 73? (a) 11 (b) 63 (c) 62 (d) 22
  21. 21.What is the average of all the whole numbers from 52 to 68? (a) 16 (b) 8 (c) 61 (d) 60
  22. 22.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 23 (b) 17 (c) 8 (d) 32
  23. 23.What is the average of 51, 61, 45, 72, 61 and 58? (a) 60 (b) 58 (c) 57 (d) 59
  24. 24.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 44 (b) 24 (c) 84 (d) 64
  25. 25.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 71 (b) 3 (c) 4 (d) 33
  26. 26.What is the average of all the whole numbers from 55 to 79? (a) 68 (b) 67 (c) 12 (d) 24
  27. 27.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 101 (b) 34 (c) 48 (d) 33
  28. 28.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 50 (b) 48 (c) 10 (d) 56
  29. 29.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 63 (b) 55 (c) 53 (d) 12
  30. 30.What is the average of 68, 61, 81 and 78? (a) 72 (b) 73 (c) 96 (d) 71
  31. 31.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 40? (a) 42 (b) 56 (c) 18 (d) 40
  32. 32.What is the average of 33, 17, 34, 6, 6 and 24? (a) 24 (b) 19 (c) 21 (d) 20
  33. 33.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 67? (a) 64 (b) 123 (c) 75 (d) 67
  34. 34.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 99 (b) 8 (c) 50 (d) 57
  35. 35.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) 92 (b) 57 (c) 45 (d) 52
  36. 36.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 8 (b) 39 (c) 76 (d) 45
  37. 37.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 18 (b) 24 (c) 10 (d) 16
  38. 38.What is the average of all the whole numbers from 48 to 82? (a) 17 (b) 66 (c) 34 (d) 65
  39. 39.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 44 (b) 50 (c) 45 (d) 102
  40. 40.What is the average of 28, 46, 27, 22, 41 and 52? (a) 38 (b) 37 (c) 35 (d) 36

Answer key

  1. 18
  2. 54
  3. 55
  4. 53
  5. 61
  6. 56
  7. 42
  8. 38
  9. 26
  10. 29
  11. 86
  12. 75
  13. 28
  14. 38
  15. 29
  16. 111
  17. 53
  18. 41
  19. 57
  20. 62
  21. 60
  22. 23
  23. 58
  24. 64
  25. 3
  26. 67
  27. 33
  28. 56
  29. 63
  30. 72
  31. 56
  32. 20
  33. 123
  34. 57
  35. 92
  36. 45
  37. 24
  38. 65
  39. 44
  40. 36

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