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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 896 · 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.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 36 (b) 32 (c) 44 (d) 16
  2. 2.What is the average of all the whole numbers from 6 to 16? (a) 11 (b) 10 (c) 5 (d) 12
  3. 3.What is the average of 19, 41, 34 and 10? (a) 28 (b) 27 (c) 26 (d) 25
  4. 4.What is the average of all the whole numbers from 11 to 17? (a) 15 (b) 14 (c) 6 (d) 3
  5. 5.What is the average of all the whole numbers from 55 to 61? (a) 58 (b) 3 (c) 6 (d) 59
  6. 6.What is the average of 39, 30, 16, 22 and 43? (a) 30 (b) 29 (c) 32 (d) 31
  7. 7.What is the average of 35, 25, 26, 40 and 59? (a) 39 (b) 37 (c) 36 (d) 38
  8. 8.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 62 (b) 29 (c) 18 (d) 17
  9. 9.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 32 (b) 12 (c) 40 (d) 30
  10. 10.What is the average of all the whole numbers from 58 to 74? (a) 66 (b) 67 (c) 8 (d) 16
  11. 11.What is the average of 49, 22, 19 and 46? (a) 34 (b) 35 (c) 33 (d) 36
  12. 12.What is the average of 61, 63, 50, 59 and 57? (a) 59 (b) 60 (c) 57 (d) 58
  13. 13.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 58 (b) 46 (c) 20 (d) 42
  14. 14.What is the average of 18, 23, 42, 34 and 48? (a) 34 (b) 32 (c) 35 (d) 33
  15. 15.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 43 (b) 24 (c) 42 (d) 23
  16. 16.What is the average of all the whole numbers from 5 to 35? (a) 21 (b) 20 (c) 30 (d) 15
  17. 17.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 35 (b) 59 (c) 84 (d) 54
  18. 18.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 47 (b) 18 (c) 59 (d) 44
  19. 19.What is the average of 86, 76, 80, 73, 70 and 47? (a) 71 (b) 73 (c) 74 (d) 72
  20. 20.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 5 (b) 23 (c) 12 (d) 16
  21. 21.What is the average of 26, 33, 22 and 23? (a) 25 (b) 28 (c) 27 (d) 26
  22. 22.What is the average of all the whole numbers from 21 to 55? (a) 17 (b) 34 (c) 38 (d) 39
  23. 23.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 65? (a) 89 (b) 73 (c) 65 (d) 32
  24. 24.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 18 (b) 43 (c) 21 (d) 17
  25. 25.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 13 (b) 40 (c) 12 (d) 84
  26. 26.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 16 (b) 50 (c) 58 (d) 46
  27. 27.What is the average of 27, 15, 26 and 40? (a) 27 (b) 28 (c) 26 (d) 36
  28. 28.What is the average of 25, 49, 44, 23 and 29? (a) 35 (b) 33 (c) 36 (d) 34
  29. 29.What is the average of all the whole numbers from 7 to 45? (a) 26 (b) 38 (c) 19 (d) 27
  30. 30.What is the average of 66, 73, 56, 63 and 32? (a) 60 (b) 59 (c) 58 (d) 57
  31. 31.What is the average of all the whole numbers from 15 to 21? (a) 19 (b) 3 (c) 18 (d) 6
  32. 32.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 50 (b) 43 (c) 92 (d) 56
  33. 33.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 15 (b) 44 (c) 21 (d) 16
  34. 34.What is the average of all the whole numbers from 40 to 56? (a) 8 (b) 48 (c) 16 (d) 49
  35. 35.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 27? (a) 27 (b) 42 (c) 63 (d) 33
  36. 36.What is the average of all the whole numbers from 36 to 62? (a) 26 (b) 49 (c) 13 (d) 50
  37. 37.What is the average of 55, 35, 54 and 44? (a) 49 (b) 48 (c) 47 (d) 46
  38. 38.What is the average of all the whole numbers from 16 to 26? (a) 22 (b) 5 (c) 21 (d) 10
  39. 39.What is the average of all the whole numbers from 57 to 93? (a) 18 (b) 76 (c) 36 (d) 75
  40. 40.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 16 (b) 26 (c) 40 (d) 28

Answer key

  1. 44
  2. 11
  3. 26
  4. 14
  5. 58
  6. 30
  7. 37
  8. 17
  9. 40
  10. 66
  11. 34
  12. 58
  13. 58
  14. 33
  15. 43
  16. 20
  17. 84
  18. 59
  19. 72
  20. 16
  21. 26
  22. 38
  23. 89
  24. 17
  25. 12
  26. 58
  27. 27
  28. 34
  29. 26
  30. 58
  31. 18
  32. 92
  33. 15
  34. 48
  35. 63
  36. 49
  37. 47
  38. 21
  39. 75
  40. 40

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