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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 429 · 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 7 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 45 (b) 34 (c) 92 (d) 33
  2. 2.What is the average of 66, 72, 75, 53 and 54? (a) 65 (b) 63 (c) 64 (d) 80
  3. 3.What is the average of 74, 79, 73, 76 and 58? (a) 90 (b) 71 (c) 72 (d) 73
  4. 4.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 70 (b) 98 (c) 42 (d) 35
  5. 5.What is the average of 17, 40, 18 and 49? (a) 30 (b) 31 (c) 33 (d) 32
  6. 6.What is the average of all the whole numbers from 9 to 43? (a) 34 (b) 17 (c) 26 (d) 27
  7. 7.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 6 (b) 54 (c) 25 (d) 5
  8. 8.What is the average of all the whole numbers from 39 to 67? (a) 14 (b) 54 (c) 53 (d) 28
  9. 9.What is the average of 14, 10, 21, 6 and 54? (a) 22 (b) 23 (c) 21 (d) 20
  10. 10.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 35 (b) 34 (c) 46 (d) 95
  11. 11.What is the average of all the whole numbers from 12 to 32? (a) 22 (b) 23 (c) 20 (d) 10
  12. 12.What is the average of all the whole numbers from 25 to 33? (a) 8 (b) 30 (c) 29 (d) 4
  13. 13.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 32 (c) 80 (d) 56
  14. 14.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 10 (c) 44 (d) 50
  15. 15.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 8 (b) 72 (c) 43 (d) 37
  16. 16.What is the average of all the whole numbers from 40 to 52? (a) 12 (b) 6 (c) 47 (d) 46
  17. 17.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 26? (a) 26 (b) 31 (c) 41 (d) 20
  18. 18.What is the average of all the whole numbers from 27 to 57? (a) 43 (b) 42 (c) 30 (d) 15
  19. 19.What is the average of 38, 50, 55, 40 and 27? (a) 42 (b) 41 (c) 44 (d) 43
  20. 20.What is the average of all the whole numbers from 19 to 31? (a) 25 (b) 12 (c) 26 (d) 6
  21. 21.What is the average of all the whole numbers from 9 to 45? (a) 36 (b) 27 (c) 18 (d) 28
  22. 22.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 36 (b) 24 (c) 16 (d) 28
  23. 23.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 32 (b) 29 (c) 30 (d) 65
  24. 24.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 58 (b) 66 (c) 12 (d) 56
  25. 25.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 27 (b) 24 (c) 36 (d) 15
  26. 26.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 66? (a) 66 (b) 122 (c) 64 (d) 74
  27. 27.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 40 (b) 13 (c) 84 (d) 12
  28. 28.What is the average of all the whole numbers from 23 to 37? (a) 30 (b) 31 (c) 7 (d) 14
  29. 29.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 59 (b) 29 (c) 23 (d) 22
  30. 30.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 34 (b) 8 (c) 66 (d) 40
  31. 31.What is the average of 50, 69, 63, 67 and 61? (a) 64 (b) 61 (c) 62 (d) 63
  32. 32.What is the average of all the whole numbers from 25 to 37? (a) 6 (b) 32 (c) 12 (d) 31
  33. 33.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 24 (b) 39 (c) 36 (d) 57
  34. 34.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 23 (b) 19 (c) 8 (d) 12
  35. 35.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 99 (c) 48 (d) 63
  36. 36.What is the average of all the whole numbers from 53 to 61? (a) 8 (b) 58 (c) 4 (d) 57
  37. 37.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 28 (b) 27 (c) 51 (d) 50
  38. 38.What is the average of 69, 56, 72 and 59? (a) 66 (b) 65 (c) 63 (d) 64
  39. 39.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 70 (b) 14 (c) 60 (d) 58
  40. 40.What is the average of 30, 50, 37, 32 and 41? (a) 39 (b) 38 (c) 37 (d) 40

Answer key

  1. 33
  2. 64
  3. 72
  4. 98
  5. 31
  6. 26
  7. 5
  8. 53
  9. 21
  10. 34
  11. 22
  12. 29
  13. 80
  14. 50
  15. 43
  16. 46
  17. 41
  18. 42
  19. 42
  20. 25
  21. 27
  22. 36
  23. 29
  24. 66
  25. 36
  26. 122
  27. 12
  28. 30
  29. 22
  30. 40
  31. 62
  32. 31
  33. 57
  34. 19
  35. 99
  36. 57
  37. 51
  38. 64
  39. 70
  40. 38

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