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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 733 · 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 44, 28, 50, 27 and 61? (a) 44 (b) 41 (c) 42 (d) 43
  2. 2.What is the average of 36, 40, 35, 25, 42 and 32? (a) 42 (b) 35 (c) 36 (d) 34
  3. 3.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 32 (b) 53 (c) 69 (d) 45
  4. 4.What is the average of 78, 59, 77, 75 and 26? (a) 64 (b) 65 (c) 62 (d) 63
  5. 5.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 58 (b) 28 (c) 34 (d) 38
  6. 6.What is the average of all the whole numbers from 29 to 53? (a) 12 (b) 41 (c) 42 (d) 24
  7. 7.What is the average of 29, 25, 26, 35 and 50? (a) 34 (b) 32 (c) 35 (d) 33
  8. 8.What is the average of all the whole numbers from 27 to 59? (a) 32 (b) 43 (c) 16 (d) 44
  9. 9.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 50 (b) 102 (c) 57 (d) 62
  10. 10.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 41 (b) 79 (c) 59 (d) 21
  11. 11.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 4 (b) 34 (c) 31 (d) 61
  12. 12.What is the average of 44, 20, 46 and 22? (a) 34 (b) 33 (c) 44 (d) 32
  13. 13.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 47 (b) 59 (c) 20 (d) 32
  14. 14.What is the average of all the whole numbers from 32 to 58? (a) 46 (b) 13 (c) 26 (d) 45
  15. 15.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 74 (b) 53 (c) 27 (d) 50
  16. 16.What is the average of all the whole numbers from 25 to 39? (a) 32 (b) 7 (c) 14 (d) 33
  17. 17.What is the average of 69, 67, 79, 76 and 94? (a) 76 (b) 79 (c) 77 (d) 78
  18. 18.What is the average of 39, 30, 55, 48 and 28? (a) 39 (b) 50 (c) 41 (d) 40
  19. 19.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 51 (b) 21 (c) 25 (d) 20
  20. 20.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 62 (b) 14 (c) 13 (d) 29
  21. 21.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 97 (c) 41 (d) 72
  22. 22.What is the average of 68, 61, 55, 64, 61 and 63? (a) 63 (b) 62 (c) 61 (d) 64
  23. 23.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 15 (b) 19 (c) 35 (d) 31
  24. 24.What is the average of 44, 38, 48 and 70? (a) 52 (b) 50 (c) 51 (d) 49
  25. 25.What is the average of 51, 61, 66 and 54? (a) 57 (b) 60 (c) 58 (d) 59
  26. 26.What is the average of 38, 44, 36 and 2? (a) 40 (b) 31 (c) 29 (d) 30
  27. 27.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 56 (b) 104 (c) 55 (d) 62
  28. 28.What is the average of all the whole numbers from 7 to 39? (a) 23 (b) 16 (c) 32 (d) 24
  29. 29.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 26 (b) 4 (c) 12 (d) 5
  30. 30.What is the average of all the whole numbers from 52 to 88? (a) 18 (b) 70 (c) 36 (d) 71
  31. 31.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 34? (a) 34 (b) 36 (c) 40 (d) 64
  32. 32.What is the average of all the whole numbers from 44 to 72? (a) 28 (b) 59 (c) 14 (d) 58
  33. 33.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 30 (b) 58 (c) 40 (d) 12
  34. 34.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 48 (b) 12 (c) 39 (d) 42
  35. 35.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 30 (b) 28 (c) 16 (d) 42
  36. 36.What is the average of 18, 36, 14, 13 and 29? (a) 21 (b) 22 (c) 23 (d) 24
  37. 37.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 95 (b) 46 (c) 28 (d) 29
  38. 38.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 63? (a) 66 (b) 30 (c) 90 (d) 63
  39. 39.What is the average of all the whole numbers from 43 to 51? (a) 8 (b) 48 (c) 4 (d) 47
  40. 40.A batter has an average of 37 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 79 (b) 42 (c) 43 (d) 49

Answer key

  1. 42
  2. 35
  3. 69
  4. 63
  5. 58
  6. 41
  7. 33
  8. 43
  9. 102
  10. 59
  11. 34
  12. 33
  13. 47
  14. 45
  15. 74
  16. 32
  17. 77
  18. 40
  19. 20
  20. 13
  21. 97
  22. 62
  23. 31
  24. 50
  25. 58
  26. 30
  27. 104
  28. 23
  29. 4
  30. 70
  31. 64
  32. 58
  33. 40
  34. 48
  35. 42
  36. 22
  37. 28
  38. 90
  39. 47
  40. 79

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