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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 856 · 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 76, 73, 73, 70 and 108? (a) 100 (b) 81 (c) 80 (d) 79
  2. 2.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 9 (b) 57 (c) 27 (d) 10
  3. 3.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 28 (b) 33 (c) 67 (d) 27
  4. 4.What is the average of 56, 71, 53 and 84? (a) 66 (b) 67 (c) 65 (d) 88
  5. 5.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 48 (b) 54 (c) 46 (d) 10
  6. 6.What is the average of 20, 42, 24 and 42? (a) 31 (b) 32 (c) 34 (d) 33
  7. 7.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 24 (b) 21 (c) 33 (d) 12
  8. 8.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 12 (b) 29 (c) 39 (d) 31
  9. 9.What is the average of 48, 36, 33 and 23? (a) 34 (b) 36 (c) 35 (d) 37
  10. 10.What is the average of 46, 54, 53 and 91? (a) 61 (b) 63 (c) 62 (d) 60
  11. 11.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 27 (c) 40 (d) 61
  12. 12.What is the average of all the whole numbers from 7 to 45? (a) 19 (b) 27 (c) 26 (d) 38
  13. 13.What is the average of 47, 54, 56, 55 and 68? (a) 56 (b) 70 (c) 55 (d) 57
  14. 14.What is the average of 21, 12, 27, 35 and 25? (a) 24 (b) 23 (c) 30 (d) 25
  15. 15.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 100 (c) 68 (d) 40
  16. 16.What is the average of 45, 60, 64, 39, 51 and 35? (a) 50 (b) 48 (c) 51 (d) 49
  17. 17.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 24 (b) 23 (c) 38 (d) 79
  18. 18.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 74 (b) 35 (c) 20 (d) 19
  19. 19.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 56 (b) 68 (c) 50 (d) 24
  20. 20.What is the average of 55, 64, 50, 51 and 95? (a) 63 (b) 64 (c) 65 (d) 62
  21. 21.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 31 (c) 16 (d) 39
  22. 22.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 86 (b) 37 (c) 30 (d) 63
  23. 23.What is the average of all the whole numbers from 18 to 54? (a) 36 (b) 37 (c) 18 (d) 35
  24. 24.What is the average of 76, 60, 59, 54 and 86? (a) 68 (b) 66 (c) 69 (d) 67
  25. 25.What is the average of all the whole numbers from 11 to 21? (a) 16 (b) 17 (c) 10 (d) 5
  26. 26.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 32? (a) 56 (b) 40 (c) 32 (d) 80
  27. 27.What is the average of 39, 19, 11 and 31? (a) 27 (b) 26 (c) 24 (d) 25
  28. 28.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 48 (b) 45 (c) 69 (d) 27
  29. 29.What is the average of 38, 36, 40 and 50? (a) 43 (b) 42 (c) 40 (d) 41
  30. 30.What is the average of 38, 14, 28, 32, 26 and 36? (a) 30 (b) 29 (c) 31 (d) 28
  31. 31.What is the average of all the whole numbers from 29 to 61? (a) 46 (b) 45 (c) 32 (d) 16
  32. 32.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 62 (b) 20 (c) 46 (d) 88
  33. 33.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 46 (b) 25 (c) 28 (d) 24
  34. 34.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 12 (b) 47 (c) 55 (d) 45
  35. 35.What is the average of 65, 65, 74, 67, 73 and 100? (a) 73 (b) 76 (c) 75 (d) 74
  36. 36.What is the average of 86, 88, 68, 73, 64 and 77? (a) 78 (b) 77 (c) 76 (d) 75
  37. 37.What is the average of 49, 27, 32 and 36? (a) 35 (b) 37 (c) 36 (d) 48
  38. 38.What is the average of 42, 32, 52, 50, 31 and 33? (a) 39 (b) 40 (c) 41 (d) 48
  39. 39.What is the average of all the whole numbers from 31 to 49? (a) 40 (b) 9 (c) 18 (d) 41
  40. 40.What is the average of 37, 31, 33 and 39? (a) 36 (b) 37 (c) 35 (d) 34

Answer key

  1. 80
  2. 9
  3. 27
  4. 66
  5. 54
  6. 32
  7. 33
  8. 39
  9. 35
  10. 61
  11. 61
  12. 26
  13. 56
  14. 24
  15. 100
  16. 49
  17. 23
  18. 19
  19. 68
  20. 63
  21. 39
  22. 86
  23. 36
  24. 67
  25. 16
  26. 80
  27. 25
  28. 69
  29. 41
  30. 29
  31. 45
  32. 62
  33. 46
  34. 55
  35. 74
  36. 76
  37. 36
  38. 40
  39. 40
  40. 35

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