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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 217 · 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 29, 21, 43 and 23? (a) 31 (b) 30 (c) 29 (d) 28
  2. 2.What is the average of 16, 26, 35, 21 and 42? (a) 27 (b) 28 (c) 29 (d) 35
  3. 3.What is the average of all the whole numbers from 42 to 72? (a) 15 (b) 58 (c) 57 (d) 30
  4. 4.What is the average of 37, 51, 53, 38 and 41? (a) 45 (b) 43 (c) 55 (d) 44
  5. 5.What is the average of all the whole numbers from 12 to 36? (a) 24 (b) 12 (c) 25 (d) 23
  6. 6.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 5 (b) 20 (c) 43 (d) 6
  7. 7.What is the average of all the whole numbers from 55 to 61? (a) 58 (b) 59 (c) 6 (d) 3
  8. 8.What is the average of all the whole numbers from 17 to 51? (a) 34 (b) 33 (c) 17 (d) 35
  9. 9.What is the average of all the whole numbers from 11 to 19? (a) 8 (b) 16 (c) 15 (d) 4
  10. 10.What is the average of 36, 17, 18 and 17? (a) 21 (b) 23 (c) 24 (d) 22
  11. 11.What is the average of 70, 60, 57, 74, 58 and 71? (a) 66 (b) 65 (c) 64 (d) 78
  12. 12.What is the average of 26, 19, 24, 37, 35 and 33? (a) 29 (b) 28 (c) 31 (d) 30
  13. 13.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 41 (b) 37 (c) 83 (d) 36
  14. 14.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 62 (b) 94 (c) 54 (d) 48
  15. 15.What is the average of 55, 49, 52, 74 and 65? (a) 58 (b) 60 (c) 59 (d) 61
  16. 16.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) 26 (b) 29 (c) 21 (d) 44
  17. 17.What is the average of all the whole numbers from 46 to 78? (a) 32 (b) 62 (c) 16 (d) 63
  18. 18.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 14 (b) 15 (c) 54 (d) 26
  19. 19.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
  20. 20.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 18 (b) 66 (c) 51 (d) 54
  21. 21.What is the average of 44, 16, 15 and 45? (a) 40 (b) 31 (c) 29 (d) 30
  22. 22.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 41 (b) 4 (c) 5 (d) 19
  23. 23.What is the average of 20, 47, 28, 19 and 46? (a) 40 (b) 33 (c) 31 (d) 32
  24. 24.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 23 (b) 27 (c) 5 (d) 45
  25. 25.What is the average of 45, 34, 60, 54 and 47? (a) 49 (b) 48 (c) 47 (d) 60
  26. 26.What is the average of 61, 81, 83 and 59? (a) 73 (b) 70 (c) 72 (d) 71
  27. 27.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 47? (a) 75 (b) 35 (c) 47 (d) 54
  28. 28.What is the average of all the whole numbers from 59 to 91? (a) 76 (b) 32 (c) 75 (d) 16
  29. 29.What is the average of 31, 44, 30, 40 and 10? (a) 30 (b) 31 (c) 33 (d) 32
  30. 30.What is the average of all the whole numbers from 18 to 44? (a) 13 (b) 31 (c) 26 (d) 32
  31. 31.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 96 (b) 28 (c) 74 (d) 50
  32. 32.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 24 (b) 11 (c) 10 (d) 50
  33. 33.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 37 (b) 69 (c) 35 (d) 67
  34. 34.What is the average of 85, 78, 88, 67, 86 and 58? (a) 78 (b) 77 (c) 76 (d) 79
  35. 35.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 64 (b) 32 (c) 62 (d) 34
  36. 36.What is the average of 31, 46, 26, 44, 26 and 37? (a) 42 (b) 35 (c) 36 (d) 34
  37. 37.What is the average of all the whole numbers from 42 to 76? (a) 34 (b) 60 (c) 17 (d) 59
  38. 38.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 38 (b) 75 (c) 45 (d) 8
  39. 39.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 36 (b) 52 (c) 58 (d) 82
  40. 40.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 28 (b) 13 (c) 23 (d) 18

Answer key

  1. 29
  2. 28
  3. 57
  4. 44
  5. 24
  6. 5
  7. 58
  8. 34
  9. 15
  10. 22
  11. 65
  12. 29
  13. 36
  14. 94
  15. 59
  16. 44
  17. 62
  18. 14
  19. 50
  20. 66
  21. 30
  22. 4
  23. 32
  24. 27
  25. 48
  26. 71
  27. 75
  28. 75
  29. 31
  30. 31
  31. 74
  32. 10
  33. 67
  34. 77
  35. 62
  36. 35
  37. 59
  38. 45
  39. 82
  40. 28

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