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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 727 · 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 30, 14, 7, 36 and 18? (a) 23 (b) 22 (c) 21 (d) 20
  2. 2.What is the average of 61, 73, 56, 53 and 77? (a) 64 (b) 63 (c) 65 (d) 80
  3. 3.What is the average of all the whole numbers from 47 to 83? (a) 65 (b) 66 (c) 36 (d) 18
  4. 4.What is the average of 59, 44, 48 and 85? (a) 59 (b) 60 (c) 61 (d) 58
  5. 5.What is the average of all the whole numbers from 16 to 34? (a) 26 (b) 18 (c) 25 (d) 9
  6. 6.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) 58 (b) 73 (c) 18 (d) 61
  7. 7.What is the average of 13, 13, 27, 38 and 34? (a) 27 (b) 24 (c) 26 (d) 25
  8. 8.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) 44 (b) 50 (c) 42 (d) 10
  9. 9.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 18 (b) 86 (c) 41 (d) 17
  10. 10.What is the average of 62, 51, 72, 58, 56 and 49? (a) 60 (b) 58 (c) 59 (d) 57
  11. 11.What is the average of 73, 85, 74 and 80? (a) 77 (b) 104 (c) 78 (d) 79
  12. 12.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 74 (c) 53 (d) 27
  13. 13.What is the average of all the whole numbers from 7 to 23? (a) 8 (b) 16 (c) 15 (d) 14
  14. 14.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 36 (b) 35 (c) 44 (d) 91
  15. 15.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 15 (b) 31 (c) 11 (d) 10
  16. 16.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 44 (b) 20 (c) 8 (d) 9
  17. 17.What is the average of all the whole numbers from 51 to 71? (a) 61 (b) 10 (c) 62 (d) 20
  18. 18.What is the average of 27, 24, 33, 27, 48 and 69? (a) 40 (b) 38 (c) 37 (d) 39
  19. 19.What is the average of 65, 89, 69 and 85? (a) 76 (b) 79 (c) 77 (d) 78
  20. 20.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 32 (b) 44 (c) 52 (d) 68
  21. 21.What is the average of 53, 56, 43 and 28? (a) 45 (b) 46 (c) 44 (d) 60
  22. 22.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 23 (b) 38 (c) 22 (d) 80
  23. 23.What is the average of 47, 42, 53, 30 and 33? (a) 42 (b) 41 (c) 40 (d) 43
  24. 24.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 66 (b) 54 (c) 14 (d) 56
  25. 25.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 66? (a) 106 (b) 74 (c) 48 (d) 66
  26. 26.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 81 (c) 51 (d) 40
  27. 27.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 30 (b) 62 (c) 17 (d) 16
  28. 28.What is the average of 56, 32, 34 and 50? (a) 42 (b) 43 (c) 45 (d) 44
  29. 29.What is the average of 22, 21, 17, 31 and 39? (a) 27 (b) 25 (c) 28 (d) 26
  30. 30.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 36? (a) 36 (b) 42 (c) 78 (d) 48
  31. 31.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 47 (b) 34 (c) 12 (d) 25
  32. 32.What is the average of all the whole numbers from 17 to 35? (a) 9 (b) 26 (c) 18 (d) 27
  33. 33.What is the average of 67, 69, 85 and 59? (a) 69 (b) 72 (c) 71 (d) 70
  34. 34.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 30 (b) 40 (c) 67 (d) 43
  35. 35.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 13 (b) 16 (c) 14 (d) 33
  36. 36.What is the average of 11, 25, 23 and 33? (a) 22 (b) 25 (c) 24 (d) 23
  37. 37.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 29 (b) 44 (c) 26 (d) 21
  38. 38.What is the average of all the whole numbers from 42 to 76? (a) 17 (b) 34 (c) 59 (d) 60
  39. 39.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 21 (b) 35 (c) 13 (d) 43
  40. 40.What is the average of 62, 38, 53, 58, 50 and 57? (a) 55 (b) 54 (c) 52 (d) 53

Answer key

  1. 21
  2. 64
  3. 65
  4. 59
  5. 25
  6. 73
  7. 25
  8. 50
  9. 17
  10. 58
  11. 78
  12. 74
  13. 15
  14. 35
  15. 10
  16. 8
  17. 61
  18. 38
  19. 77
  20. 68
  21. 45
  22. 22
  23. 41
  24. 66
  25. 106
  26. 81
  27. 16
  28. 43
  29. 26
  30. 78
  31. 34
  32. 26
  33. 70
  34. 67
  35. 13
  36. 23
  37. 44
  38. 59
  39. 43
  40. 53

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