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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 813 · 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 85, 73, 86 and 72? (a) 78 (b) 80 (c) 81 (d) 79
  2. 2.What is the average of all the whole numbers from 53 to 65? (a) 12 (b) 6 (c) 59 (d) 60
  3. 3.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) 19 (b) 5 (c) 41 (d) 4
  4. 4.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 11 (b) 26 (c) 18 (d) 19
  5. 5.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 22 (b) 45 (c) 16 (d) 15
  6. 6.What is the average of all the whole numbers from 49 to 77? (a) 63 (b) 14 (c) 28 (d) 64
  7. 7.What is the average of all the whole numbers from 45 to 71? (a) 58 (b) 13 (c) 26 (d) 59
  8. 8.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 38 (b) 56 (c) 21 (d) 73
  9. 9.What is the average of 31, 16, 13 and 36? (a) 23 (b) 24 (c) 25 (d) 32
  10. 10.What is the average of all the whole numbers from 17 to 43? (a) 26 (b) 31 (c) 13 (d) 30
  11. 11.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 70 (c) 49 (d) 35
  12. 12.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 28 (b) 21 (c) 8 (d) 41
  13. 13.What is the average of 32, 34, 39, 42, 49 and 80? (a) 47 (b) 48 (c) 45 (d) 46
  14. 14.What is the average of all the whole numbers from 15 to 23? (a) 4 (b) 19 (c) 8 (d) 20
  15. 15.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 10 (b) 17 (c) 25 (d) 32
  16. 16.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 65 (b) 49 (c) 41 (d) 32
  17. 17.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 40 (b) 52 (c) 57 (d) 87
  18. 18.What is the average of 47, 42, 53, 31 and 47? (a) 55 (b) 44 (c) 45 (d) 43
  19. 19.What is the average of 39, 40, 47, 47, 49 and 6? (a) 39 (b) 37 (c) 40 (d) 38
  20. 20.What is the average of 79, 73, 73, 87, 65 and 85? (a) 76 (b) 79 (c) 78 (d) 77
  21. 21.What is the average of 78, 87, 66, 65 and 79? (a) 75 (b) 77 (c) 76 (d) 74
  22. 22.What is the average of all the whole numbers from 8 to 44? (a) 27 (b) 36 (c) 18 (d) 26
  23. 23.What is the average of 31, 51, 31, 47, 41 and 21? (a) 39 (b) 38 (c) 36 (d) 37
  24. 24.What is the average of 75, 76, 73, 69, 62 and 29? (a) 66 (b) 63 (c) 65 (d) 64
  25. 25.What is the average of all the whole numbers from 27 to 33? (a) 30 (b) 6 (c) 31 (d) 3
  26. 26.What is the average of all the whole numbers from 18 to 46? (a) 14 (b) 28 (c) 32 (d) 33
  27. 27.What is the average of 39, 38, 50 and 73? (a) 50 (b) 51 (c) 52 (d) 49
  28. 28.What is the average of 23, 32, 25, 36 and 49? (a) 32 (b) 34 (c) 35 (d) 33
  29. 29.What is the average of all the whole numbers from 14 to 50? (a) 32 (b) 36 (c) 33 (d) 18
  30. 30.What is the average of 49, 33, 50, 25, 45 and 32? (a) 40 (b) 39 (c) 38 (d) 41
  31. 31.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 46? (a) 78 (b) 36 (c) 46 (d) 50
  32. 32.What is the average of all the whole numbers from 55 to 61? (a) 59 (b) 6 (c) 58 (d) 3
  33. 33.What is the average of 49, 48, 52 and 95? (a) 62 (b) 61 (c) 63 (d) 60
  34. 34.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 49? (a) 73 (b) 49 (c) 52 (d) 27
  35. 35.What is the average of all the whole numbers from 7 to 27? (a) 18 (b) 20 (c) 10 (d) 17
  36. 36.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 9 (b) 10 (c) 15 (d) 32
  37. 37.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 32 (c) 90 (d) 66
  38. 38.What is the average of all the whole numbers from 30 to 42? (a) 12 (b) 37 (c) 36 (d) 6
  39. 39.What is the average of all the whole numbers from 15 to 47? (a) 30 (b) 31 (c) 16 (d) 32
  40. 40.What is the average of all the whole numbers from 39 to 67? (a) 28 (b) 54 (c) 53 (d) 14

Answer key

  1. 79
  2. 59
  3. 4
  4. 26
  5. 15
  6. 63
  7. 58
  8. 56
  9. 24
  10. 30
  11. 70
  12. 28
  13. 46
  14. 19
  15. 25
  16. 65
  17. 87
  18. 44
  19. 38
  20. 77
  21. 75
  22. 26
  23. 37
  24. 64
  25. 30
  26. 32
  27. 50
  28. 33
  29. 32
  30. 39
  31. 78
  32. 58
  33. 61
  34. 73
  35. 17
  36. 9
  37. 90
  38. 36
  39. 31
  40. 53

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