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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 485 · 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 38, 39, 31, 47 and 55? (a) 44 (b) 43 (c) 42 (d) 41
  2. 2.What is the average of all the whole numbers from 20 to 32? (a) 27 (b) 26 (c) 6 (d) 12
  3. 3.What is the average of all the whole numbers from 48 to 74? (a) 62 (b) 26 (c) 61 (d) 13
  4. 4.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 62 (c) 92 (d) 42
  5. 5.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 100 (b) 54 (c) 52 (d) 58
  6. 6.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 54? (a) 28 (b) 75 (c) 54 (d) 61
  7. 7.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 10 (b) 28 (c) 16 (d) 34
  8. 8.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 27 (c) 55 (d) 54
  9. 9.What is the average of all the whole numbers from 41 to 81? (a) 62 (b) 40 (c) 20 (d) 61
  10. 10.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 23? (a) 29 (b) 23 (c) 25 (d) 8
  11. 11.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 42 (b) 80 (c) 54 (d) 16
  12. 12.What is the average of all the whole numbers from 45 to 67? (a) 57 (b) 22 (c) 56 (d) 11
  13. 13.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 99 (b) 48 (c) 31 (d) 30
  14. 14.What is the average of all the whole numbers from 32 to 66? (a) 17 (b) 49 (c) 50 (d) 34
  15. 15.What is the average of 34, 36, 32 and 6? (a) 36 (b) 26 (c) 28 (d) 27
  16. 16.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 85 (b) 50 (c) 8 (d) 43
  17. 17.What is the average of all the whole numbers from 47 to 53? (a) 50 (b) 51 (c) 6 (d) 3
  18. 18.What is the average of 45, 65, 48, 65, 69 and 44? (a) 55 (b) 58 (c) 57 (d) 56
  19. 19.What is the average of all the whole numbers from 34 to 72? (a) 54 (b) 38 (c) 53 (d) 19
  20. 20.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 38 (b) 73 (c) 49 (d) 31
  21. 21.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 8 (b) 9 (c) 37 (d) 17
  22. 22.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 41 (b) 18 (c) 26 (d) 29
  23. 23.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 63 (b) 32 (c) 38 (d) 7
  24. 24.What is the average of all the whole numbers from 5 to 21? (a) 13 (b) 8 (c) 16 (d) 14
  25. 25.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 6 (b) 7 (c) 87 (d) 41
  26. 26.What is the average of all the whole numbers from 54 to 64? (a) 5 (b) 59 (c) 10 (d) 60
  27. 27.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 67 (c) 40 (d) 43
  28. 28.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 35? (a) 39 (b) 67 (c) 36 (d) 35
  29. 29.What is the average of all the whole numbers from 40 to 70? (a) 30 (b) 56 (c) 55 (d) 15
  30. 30.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 91 (b) 50 (c) 51 (d) 46
  31. 31.What is the average of 91, 69, 65 and 87? (a) 77 (b) 78 (c) 104 (d) 79
  32. 32.What is the average of 15, 33, 30, 34, 32 and 30? (a) 28 (b) 31 (c) 29 (d) 30
  33. 33.What is the average of 74, 58, 57 and 63? (a) 63 (b) 64 (c) 62 (d) 84
  34. 34.What is the average of 61, 81, 75 and 59? (a) 68 (b) 70 (c) 69 (d) 92
  35. 35.What is the average of 20, 17, 28, 38, 20 and 15? (a) 22 (b) 23 (c) 25 (d) 24
  36. 36.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 61 (b) 73 (c) 58 (d) 18
  37. 37.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 23 (b) 18 (c) 43 (d) 38
  38. 38.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 54 (b) 36 (c) 24 (d) 33
  39. 39.What is the average of 73, 56, 75, 59 and 92? (a) 70 (b) 71 (c) 73 (d) 72
  40. 40.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 70 (b) 36 (c) 8 (d) 42

Answer key

  1. 42
  2. 26
  3. 61
  4. 92
  5. 100
  6. 75
  7. 34
  8. 54
  9. 61
  10. 29
  11. 54
  12. 56
  13. 30
  14. 49
  15. 27
  16. 50
  17. 50
  18. 56
  19. 53
  20. 73
  21. 8
  22. 41
  23. 38
  24. 13
  25. 6
  26. 59
  27. 67
  28. 67
  29. 55
  30. 91
  31. 78
  32. 29
  33. 63
  34. 69
  35. 23
  36. 73
  37. 38
  38. 54
  39. 71
  40. 42

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