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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 678 · 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 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 36 (b) 34 (c) 14 (d) 46
  2. 2.What is the average of 58, 43, 45, 53, 54 and 11? (a) 45 (b) 44 (c) 46 (d) 43
  3. 3.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 23 (b) 48 (c) 15 (d) 16
  4. 4.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 65 (b) 57 (c) 53 (d) 16
  5. 5.What is the average of 68, 69, 44 and 39? (a) 56 (b) 55 (c) 57 (d) 54
  6. 6.What is the average of all the whole numbers from 15 to 29? (a) 23 (b) 22 (c) 14 (d) 7
  7. 7.What is the average of 23, 28, 36, 38 and 5? (a) 26 (b) 25 (c) 27 (d) 28
  8. 8.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 36 (b) 19 (c) 16 (d) 33
  9. 9.What is the average of 88, 66, 83, 82 and 51? (a) 75 (b) 74 (c) 76 (d) 73
  10. 10.What is the average of all the whole numbers from 38 to 66? (a) 14 (b) 52 (c) 28 (d) 53
  11. 11.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 59? (a) 62 (b) 59 (c) 27 (d) 83
  12. 12.What is the average of all the whole numbers from 23 to 33? (a) 5 (b) 28 (c) 10 (d) 29
  13. 13.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 12 (b) 46 (c) 89 (d) 55
  14. 14.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 73 (b) 32 (c) 33 (d) 36
  15. 15.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 39 (b) 36 (c) 37 (d) 79
  16. 16.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 21 (c) 59 (d) 41
  17. 17.What is the average of 71, 50, 52, 64, 42 and 57? (a) 57 (b) 56 (c) 55 (d) 58
  18. 18.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 36 (c) 18 (d) 50
  19. 19.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 17 (b) 73 (c) 35 (d) 18
  20. 20.What is the average of all the whole numbers from 20 to 34? (a) 7 (b) 14 (c) 28 (d) 27
  21. 21.What is the average of 20, 24, 16, 25 and 70? (a) 32 (b) 33 (c) 31 (d) 30
  22. 22.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 15 (b) 41 (c) 44 (d) 53
  23. 23.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 75 (b) 36 (c) 27 (d) 28
  24. 24.What is the average of 72, 79, 75, 80, 73 and 23? (a) 68 (b) 69 (c) 66 (d) 67
  25. 25.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 29 (b) 30 (c) 16 (d) 31
  26. 26.What is the average of all the whole numbers from 6 to 44? (a) 38 (b) 26 (c) 25 (d) 19
  27. 27.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 48 (b) 14 (c) 13 (d) 23
  28. 28.What is the average of 13, 11, 17 and 51? (a) 22 (b) 25 (c) 24 (d) 23
  29. 29.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 36 (b) 14 (c) 70 (d) 48
  30. 30.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 55 (b) 52 (c) 12 (d) 61
  31. 31.What is the average of 41, 50, 34, 58, 58 and 47? (a) 50 (b) 47 (c) 48 (d) 49
  32. 32.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 54? (a) 63 (b) 12 (c) 57 (d) 54
  33. 33.What is the average of 52, 41, 47, 40 and 10? (a) 39 (b) 40 (c) 38 (d) 37
  34. 34.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 24 (b) 70 (c) 82 (d) 64
  35. 35.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 31 (b) 18 (c) 48 (d) 35
  36. 36.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 44? (a) 72 (b) 35 (c) 51 (d) 44
  37. 37.What is the average of 57, 72, 59, 69 and 48? (a) 61 (b) 62 (c) 63 (d) 60
  38. 38.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 39 (b) 100 (c) 40 (d) 49
  39. 39.What is the average of all the whole numbers from 20 to 28? (a) 4 (b) 24 (c) 25 (d) 8
  40. 40.What is the average of 24, 24, 28, 51 and 58? (a) 36 (b) 39 (c) 38 (d) 37

Answer key

  1. 46
  2. 44
  3. 15
  4. 65
  5. 55
  6. 22
  7. 26
  8. 33
  9. 74
  10. 52
  11. 83
  12. 28
  13. 55
  14. 32
  15. 36
  16. 59
  17. 56
  18. 50
  19. 17
  20. 27
  21. 31
  22. 53
  23. 27
  24. 67
  25. 30
  26. 25
  27. 13
  28. 23
  29. 48
  30. 61
  31. 48
  32. 63
  33. 38
  34. 82
  35. 48
  36. 72
  37. 61
  38. 39
  39. 24
  40. 37

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