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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 45 · 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 75, 79, 53, 56 and 72? (a) 68 (b) 66 (c) 69 (d) 67
  2. 2.What is the average of all the whole numbers from 9 to 21? (a) 6 (b) 15 (c) 16 (d) 12
  3. 3.What is the average of all the whole numbers from 25 to 51? (a) 39 (b) 13 (c) 26 (d) 38
  4. 4.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 62 (c) 10 (d) 56
  5. 5.What is the average of 37, 39, 47 and 69? (a) 49 (b) 47 (c) 48 (d) 64
  6. 6.What is the average of 49, 35, 48 and 48? (a) 45 (b) 60 (c) 46 (d) 44
  7. 7.What is the average of all the whole numbers from 56 to 74? (a) 18 (b) 66 (c) 65 (d) 9
  8. 8.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 42 (c) 50 (d) 12
  9. 9.What is the average of all the whole numbers from 20 to 40? (a) 10 (b) 20 (c) 31 (d) 30
  10. 10.What is the average of 49, 52, 61 and 38? (a) 51 (b) 50 (c) 52 (d) 49
  11. 11.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 64 (b) 42 (c) 34 (d) 28
  12. 12.What is the average of 13, 29, 37 and 13? (a) 22 (b) 23 (c) 25 (d) 24
  13. 13.What is the average of 51, 32, 47 and 26? (a) 52 (b) 38 (c) 40 (d) 39
  14. 14.What is the average of 34, 34, 11 and 5? (a) 28 (b) 20 (c) 21 (d) 22
  15. 15.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 68 (b) 88 (c) 64 (d) 28
  16. 16.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 25 (c) 12 (d) 33
  17. 17.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 39 (b) 25 (c) 48 (d) 16
  18. 18.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 20 (b) 7 (c) 39 (d) 26
  19. 19.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 20 (b) 32 (c) 34 (d) 18
  20. 20.What is the average of all the whole numbers from 28 to 36? (a) 8 (b) 33 (c) 32 (d) 4
  21. 21.What is the average of 82, 71, 84, 62 and 66? (a) 75 (b) 72 (c) 73 (d) 74
  22. 22.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 55 (b) 30 (c) 54 (d) 36
  23. 23.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 79 (b) 37 (c) 8 (d) 7
  24. 24.What is the average of 30, 29, 17 and 32? (a) 27 (b) 36 (c) 26 (d) 28
  25. 25.What is the average of all the whole numbers from 29 to 49? (a) 39 (b) 10 (c) 20 (d) 40
  26. 26.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 36 (c) 48 (d) 72
  27. 27.What is the average of 76, 76, 82, 68, 65 and 53? (a) 84 (b) 71 (c) 70 (d) 69
  28. 28.What is the average of 76, 86, 64, 69 and 100? (a) 78 (b) 81 (c) 80 (d) 79
  29. 29.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 65 (c) 75 (d) 20
  30. 30.What is the average of all the whole numbers from 10 to 34? (a) 12 (b) 24 (c) 23 (d) 22
  31. 31.What is the average of all the whole numbers from 16 to 28? (a) 23 (b) 6 (c) 22 (d) 12
  32. 32.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 46 (b) 24 (c) 43 (d) 64
  33. 33.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 31? (a) 31 (b) 43 (c) 15 (d) 34
  34. 34.What is the average of 20, 24, 27, 46, 41 and 46? (a) 33 (b) 35 (c) 36 (d) 34
  35. 35.A batter has an average of 42 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 24 (c) 48 (d) 66
  36. 36.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 41 (b) 18 (c) 79 (d) 56
  37. 37.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 86 (b) 21 (c) 22 (d) 41
  38. 38.What is the average of 59, 69, 48 and 44? (a) 56 (b) 57 (c) 55 (d) 54
  39. 39.What is the average of 82, 59, 64, 62, 59 and 94? (a) 69 (b) 84 (c) 70 (d) 71
  40. 40.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 50 (b) 44 (c) 101 (d) 45

Answer key

  1. 67
  2. 15
  3. 38
  4. 62
  5. 48
  6. 45
  7. 65
  8. 50
  9. 30
  10. 50
  11. 64
  12. 23
  13. 39
  14. 21
  15. 88
  16. 33
  17. 39
  18. 26
  19. 34
  20. 32
  21. 73
  22. 54
  23. 7
  24. 27
  25. 39
  26. 72
  27. 70
  28. 79
  29. 75
  30. 22
  31. 22
  32. 64
  33. 43
  34. 34
  35. 66
  36. 56
  37. 21
  38. 55
  39. 70
  40. 44

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