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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 54 · 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 58, 62, 58 and 54? (a) 59 (b) 60 (c) 57 (d) 58
  2. 2.What is the average of all the whole numbers from 21 to 47? (a) 34 (b) 35 (c) 26 (d) 13
  3. 3.What is the average of all the whole numbers from 53 to 93? (a) 40 (b) 73 (c) 74 (d) 20
  4. 4.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 28 (c) 52 (d) 30
  5. 5.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 66 (b) 42 (c) 40 (d) 34
  6. 6.What is the average of all the whole numbers from 21 to 37? (a) 16 (b) 30 (c) 29 (d) 8
  7. 7.What is the average of all the whole numbers from 26 to 40? (a) 7 (b) 33 (c) 14 (d) 34
  8. 8.What is the average of 18, 43, 32, 16 and 46? (a) 30 (b) 32 (c) 33 (d) 31
  9. 9.What is the average of 38, 56, 54, 49, 43 and 30? (a) 54 (b) 44 (c) 45 (d) 46
  10. 10.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 64 (b) 10 (c) 11 (d) 30
  11. 11.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) 40 (b) 68 (c) 100 (d) 64
  12. 12.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 7 (b) 55 (c) 28 (d) 34
  13. 13.What is the average of all the whole numbers from 27 to 41? (a) 34 (b) 35 (c) 14 (d) 7
  14. 14.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 48 (b) 62 (c) 41 (d) 28
  15. 15.What is the average of 83, 59, 68, 79 and 56? (a) 71 (b) 69 (c) 68 (d) 70
  16. 16.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 66? (a) 48 (b) 66 (c) 108 (d) 72
  17. 17.What is the average of all the whole numbers from 9 to 31? (a) 22 (b) 21 (c) 20 (d) 11
  18. 18.What is the average of 70, 71, 73, 73 and 98? (a) 78 (b) 79 (c) 76 (d) 77
  19. 19.What is the average of all the whole numbers from 28 to 40? (a) 12 (b) 6 (c) 35 (d) 34
  20. 20.What is the average of all the whole numbers from 30 to 52? (a) 22 (b) 41 (c) 42 (d) 11
  21. 21.What is the average of all the whole numbers from 43 to 57? (a) 7 (b) 14 (c) 50 (d) 51
  22. 22.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 8 (b) 22 (c) 18 (d) 12
  23. 23.What is the average of 73, 94, 85, 76 and 72? (a) 79 (b) 80 (c) 81 (d) 100
  24. 24.What is the average of all the whole numbers from 9 to 47? (a) 38 (b) 29 (c) 19 (d) 28
  25. 25.What is the average of 22, 20, 24, 19 and 45? (a) 26 (b) 25 (c) 27 (d) 28
  26. 26.What is the average of all the whole numbers from 39 to 73? (a) 57 (b) 34 (c) 17 (d) 56
  27. 27.What is the average of all the whole numbers from 23 to 29? (a) 27 (b) 6 (c) 3 (d) 26
  28. 28.What is the average of 81, 78, 64, 76 and 66? (a) 73 (b) 72 (c) 75 (d) 74
  29. 29.What is the average of all the whole numbers from 32 to 54? (a) 22 (b) 44 (c) 11 (d) 43
  30. 30.What is the average of 75, 60, 53, 61 and 66? (a) 63 (b) 64 (c) 62 (d) 65
  31. 31.What is the average of 71, 60, 52, 65 and 77? (a) 67 (b) 64 (c) 66 (d) 65
  32. 32.What is the average of all the whole numbers from 10 to 48? (a) 38 (b) 30 (c) 19 (d) 29
  33. 33.What is the average of 31, 33, 33, 30, 34 and 43? (a) 35 (b) 36 (c) 33 (d) 34
  34. 34.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 80 (b) 102 (c) 30 (d) 38
  35. 35.What is the average of all the whole numbers from 21 to 29? (a) 26 (b) 4 (c) 8 (d) 25
  36. 36.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 48 (b) 90 (c) 58 (d) 50
  37. 37.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 45 (b) 101 (c) 37 (d) 72
  38. 38.What is the average of 53, 75, 50, 50 and 72? (a) 59 (b) 75 (c) 60 (d) 61
  39. 39.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 33 (b) 42 (c) 15 (d) 30
  40. 40.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 20 (b) 53 (c) 29 (d) 44

Answer key

  1. 58
  2. 34
  3. 73
  4. 52
  5. 66
  6. 29
  7. 33
  8. 31
  9. 45
  10. 10
  11. 100
  12. 34
  13. 34
  14. 62
  15. 69
  16. 108
  17. 20
  18. 77
  19. 34
  20. 41
  21. 50
  22. 18
  23. 80
  24. 28
  25. 26
  26. 56
  27. 26
  28. 73
  29. 43
  30. 63
  31. 65
  32. 29
  33. 34
  34. 102
  35. 25
  36. 90
  37. 101
  38. 60
  39. 42
  40. 44

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