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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 464 · 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.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 22 (b) 12 (c) 42 (d) 32
  2. 2.What is the average of 15, 8, 21, 8 and 58? (a) 21 (b) 24 (c) 22 (d) 23
  3. 3.What is the average of all the whole numbers from 29 to 37? (a) 8 (b) 33 (c) 34 (d) 4
  4. 4.What is the average of all the whole numbers from 24 to 36? (a) 6 (b) 12 (c) 31 (d) 30
  5. 5.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 101 (b) 61 (c) 45 (d) 66
  6. 6.What is the average of 24, 42, 37, 17 and 30? (a) 31 (b) 30 (c) 32 (d) 29
  7. 7.What is the average of 52, 46, 63, 37, 44 and 64? (a) 52 (b) 51 (c) 50 (d) 53
  8. 8.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 20 (b) 14 (c) 32 (d) 38
  9. 9.What is the average of 35, 10, 10 and 33? (a) 23 (b) 21 (c) 22 (d) 24
  10. 10.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 20 (c) 64 (d) 54
  11. 11.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 59 (c) 21 (d) 44
  12. 12.What is the average of 12, 10, 27 and 39? (a) 23 (b) 24 (c) 22 (d) 21
  13. 13.What is the average of all the whole numbers from 57 to 63? (a) 61 (b) 3 (c) 6 (d) 60
  14. 14.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 30 (b) 32 (c) 29 (d) 56
  15. 15.What is the average of all the whole numbers from 12 to 50? (a) 38 (b) 19 (c) 32 (d) 31
  16. 16.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 34 (b) 70 (c) 48 (d) 28
  17. 17.What is the average of 62, 63, 82, 60, 60 and 93? (a) 71 (b) 70 (c) 69 (d) 84
  18. 18.What is the average of 69, 51, 64 and 56? (a) 80 (b) 59 (c) 61 (d) 60
  19. 19.What is the average of all the whole numbers from 13 to 47? (a) 31 (b) 34 (c) 30 (d) 17
  20. 20.What is the average of all the whole numbers from 19 to 31? (a) 6 (b) 12 (c) 25 (d) 26
  21. 21.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 32 (c) 43 (d) 67
  22. 22.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 78 (b) 48 (c) 38 (d) 46
  23. 23.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 87 (b) 67 (c) 30 (d) 62
  24. 24.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 110 (b) 70 (c) 62 (d) 56
  25. 25.What is the average of 90, 88, 86, 66, 74 and 52? (a) 78 (b) 76 (c) 77 (d) 75
  26. 26.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 18 (b) 62 (c) 50 (d) 47
  27. 27.What is the average of all the whole numbers from 11 to 45? (a) 29 (b) 17 (c) 28 (d) 34
  28. 28.What is the average of all the whole numbers from 14 to 52? (a) 19 (b) 38 (c) 34 (d) 33
  29. 29.What is the average of all the whole numbers from 6 to 40? (a) 23 (b) 24 (c) 34 (d) 17
  30. 30.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 86 (b) 66 (c) 30 (d) 61
  31. 31.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 25 (b) 52 (c) 67 (d) 47
  32. 32.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 28 (b) 86 (c) 66 (d) 62
  33. 33.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 5 (b) 4 (c) 18 (d) 38
  34. 34.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 20 (c) 59 (d) 77
  35. 35.What is the average of 18, 38, 18, 18 and 33? (a) 27 (b) 25 (c) 24 (d) 26
  36. 36.What is the average of all the whole numbers from 5 to 29? (a) 12 (b) 18 (c) 17 (d) 24
  37. 37.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 52 (b) 12 (c) 43 (d) 83
  38. 38.What is the average of all the whole numbers from 44 to 52? (a) 48 (b) 4 (c) 8 (d) 49
  39. 39.What is the average of 18, 27, 32 and 3? (a) 21 (b) 19 (c) 20 (d) 22
  40. 40.What is the average of 58, 44, 53, 57 and 8? (a) 43 (b) 45 (c) 44 (d) 55

Answer key

  1. 32
  2. 22
  3. 33
  4. 30
  5. 101
  6. 30
  7. 51
  8. 32
  9. 22
  10. 64
  11. 59
  12. 22
  13. 60
  14. 56
  15. 31
  16. 70
  17. 70
  18. 60
  19. 30
  20. 25
  21. 67
  22. 78
  23. 87
  24. 110
  25. 76
  26. 62
  27. 28
  28. 33
  29. 23
  30. 86
  31. 67
  32. 86
  33. 4
  34. 77
  35. 25
  36. 17
  37. 52
  38. 48
  39. 20
  40. 44

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