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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 189 · 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 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 37 (b) 34 (c) 55 (d) 24
  2. 2.What is the average of all the whole numbers from 34 to 58? (a) 46 (b) 24 (c) 47 (d) 12
  3. 3.What is the average of 22, 11, 36, 39 and 12? (a) 30 (b) 23 (c) 25 (d) 24
  4. 4.What is the average of all the whole numbers from 24 to 48? (a) 24 (b) 12 (c) 36 (d) 37
  5. 5.What is the average of all the whole numbers from 60 to 92? (a) 76 (b) 77 (c) 32 (d) 16
  6. 6.What is the average of all the whole numbers from 52 to 72? (a) 20 (b) 10 (c) 63 (d) 62
  7. 7.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 35 (b) 33 (c) 16 (d) 47
  8. 8.What is the average of 35, 42, 32 and 31? (a) 36 (b) 35 (c) 34 (d) 37
  9. 9.What is the average of 34, 40, 47, 33, 50 and 54? (a) 42 (b) 45 (c) 44 (d) 43
  10. 10.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 23? (a) 14 (b) 35 (c) 23 (d) 25
  11. 11.What is the average of 31, 41, 49 and 47? (a) 41 (b) 56 (c) 42 (d) 43
  12. 12.What is the average of 68, 42, 64, 66, 45 and 45? (a) 56 (b) 55 (c) 54 (d) 66
  13. 13.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 37 (b) 73 (c) 40 (d) 4
  14. 14.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 45 (b) 18 (c) 42 (d) 57
  15. 15.What is the average of all the whole numbers from 18 to 54? (a) 35 (b) 36 (c) 37 (d) 18
  16. 16.What is the average of 29, 37, 56, 29 and 54? (a) 42 (b) 41 (c) 43 (d) 40
  17. 17.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 51? (a) 51 (b) 36 (c) 55 (d) 83
  18. 18.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 30 (b) 93 (c) 29 (d) 44
  19. 19.What is the average of 37, 46, 50, 49, 57 and 37? (a) 45 (b) 48 (c) 47 (d) 46
  20. 20.What is the average of 35, 30, 23, 48 and 54? (a) 38 (b) 39 (c) 40 (d) 37
  21. 21.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 56 (c) 104 (d) 60
  22. 22.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 40 (c) 57 (d) 89
  23. 23.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 31? (a) 25 (b) 36 (c) 51 (d) 31
  24. 24.What is the average of 19, 21, 20, 47 and 53? (a) 32 (b) 33 (c) 31 (d) 40
  25. 25.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 14 (b) 31 (c) 43 (d) 33
  26. 26.What is the average of all the whole numbers from 40 to 66? (a) 26 (b) 54 (c) 13 (d) 53
  27. 27.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 44 (b) 12 (c) 34 (d) 66
  28. 28.What is the average of all the whole numbers from 44 to 54? (a) 49 (b) 5 (c) 10 (d) 50
  29. 29.What is the average of 24, 42, 31, 39 and 9? (a) 31 (b) 28 (c) 30 (d) 29
  30. 30.What is the average of 81, 76, 71, 56, 51 and 61? (a) 65 (b) 66 (c) 67 (d) 68
  31. 31.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 36 (b) 12 (c) 29 (d) 19
  32. 32.What is the average of 13, 32, 13, 17 and 60? (a) 27 (b) 28 (c) 26 (d) 29
  33. 33.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 4 (b) 31 (c) 28 (d) 55
  34. 34.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 46 (c) 21 (d) 31
  35. 35.What is the average of all the whole numbers from 30 to 54? (a) 43 (b) 12 (c) 42 (d) 24
  36. 36.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 45 (b) 43 (c) 91 (d) 42
  37. 37.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 21 (b) 8 (c) 11 (d) 18
  38. 38.What is the average of all the whole numbers from 21 to 45? (a) 34 (b) 12 (c) 33 (d) 24
  39. 39.What is the average of 62, 47, 44, 64, 55 and 76? (a) 57 (b) 59 (c) 58 (d) 60
  40. 40.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 51 (c) 56 (d) 91

Answer key

  1. 55
  2. 46
  3. 24
  4. 36
  5. 76
  6. 62
  7. 47
  8. 35
  9. 43
  10. 35
  11. 42
  12. 55
  13. 40
  14. 57
  15. 36
  16. 41
  17. 83
  18. 29
  19. 46
  20. 38
  21. 104
  22. 89
  23. 51
  24. 32
  25. 43
  26. 53
  27. 44
  28. 49
  29. 29
  30. 66
  31. 29
  32. 27
  33. 31
  34. 46
  35. 42
  36. 42
  37. 18
  38. 33
  39. 58
  40. 91

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