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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 828 · 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 7 numbers is 33. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 57 (b) 33 (c) 28 (d) 62
  2. 2.What is the average of all the whole numbers from 32 to 42? (a) 5 (b) 37 (c) 38 (d) 10
  3. 3.What is the average of 37, 59, 55, 58, 56 and 41? (a) 50 (b) 52 (c) 53 (d) 51
  4. 4.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 50 (c) 38 (d) 16
  5. 5.What is the average of all the whole numbers from 26 to 42? (a) 35 (b) 34 (c) 16 (d) 8
  6. 6.What is the average of 70, 87, 64, 71, 69 and 113? (a) 78 (b) 80 (c) 79 (d) 81
  7. 7.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 66 (b) 54 (c) 16 (d) 58
  8. 8.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 55 (b) 27 (c) 32 (d) 31
  9. 9.What is the average of 39, 23, 21, 23, 35 and 69? (a) 35 (b) 34 (c) 36 (d) 42
  10. 10.What is the average of 29, 38, 23, 46, 26 and 66? (a) 37 (b) 40 (c) 38 (d) 39
  11. 11.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 39 (b) 18 (c) 37 (d) 53
  12. 12.What is the average of all the whole numbers from 40 to 46? (a) 6 (b) 44 (c) 3 (d) 43
  13. 13.What is the average of all the whole numbers from 21 to 27? (a) 3 (b) 25 (c) 24 (d) 6
  14. 14.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 32 (b) 91 (c) 33 (d) 44
  15. 15.What is the average of all the whole numbers from 27 to 63? (a) 36 (b) 18 (c) 46 (d) 45
  16. 16.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 15 (b) 25 (c) 10 (d) 20
  17. 17.What is the average of 54, 68, 43, 46 and 79? (a) 58 (b) 59 (c) 57 (d) 60
  18. 18.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 35 (b) 21 (c) 13 (d) 43
  19. 19.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 28 (b) 29 (c) 48 (d) 100
  20. 20.What is the average of 37, 44, 46, 58 and 45? (a) 46 (b) 47 (c) 45 (d) 48
  21. 21.What is the average of 65, 47, 37 and 59? (a) 51 (b) 53 (c) 54 (d) 52
  22. 22.What is the average of all the whole numbers from 19 to 43? (a) 32 (b) 12 (c) 31 (d) 24
  23. 23.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 42 (c) 34 (d) 16
  24. 24.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 61 (b) 13 (c) 14 (d) 28
  25. 25.What is the average of all the whole numbers from 49 to 67? (a) 18 (b) 9 (c) 58 (d) 59
  26. 26.What is the average of all the whole numbers from 8 to 34? (a) 22 (b) 26 (c) 21 (d) 13
  27. 27.What is the average of all the whole numbers from 50 to 56? (a) 54 (b) 6 (c) 53 (d) 3
  28. 28.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 39 (b) 38 (c) 50 (d) 102
  29. 29.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 40 (b) 8 (c) 21 (d) 27
  30. 30.What is the average of all the whole numbers from 45 to 59? (a) 53 (b) 7 (c) 14 (d) 52
  31. 31.What is the average of all the whole numbers from 56 to 62? (a) 3 (b) 60 (c) 6 (d) 59
  32. 32.What is the average of all the whole numbers from 15 to 55? (a) 40 (b) 36 (c) 20 (d) 35
  33. 33.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 27 (c) 32 (d) 53
  34. 34.What is the average of all the whole numbers from 44 to 52? (a) 4 (b) 48 (c) 49 (d) 8
  35. 35.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 47 (c) 31 (d) 20
  36. 36.What is the average of all the whole numbers from 41 to 67? (a) 26 (b) 54 (c) 55 (d) 13
  37. 37.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 7 (b) 79 (c) 8 (d) 37
  38. 38.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 34 (b) 27 (c) 63 (d) 83
  39. 39.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 60 (b) 49 (c) 97 (d) 43
  40. 40.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 83 (c) 30 (d) 65

Answer key

  1. 57
  2. 37
  3. 51
  4. 50
  5. 34
  6. 79
  7. 66
  8. 55
  9. 35
  10. 38
  11. 53
  12. 43
  13. 24
  14. 32
  15. 45
  16. 25
  17. 58
  18. 43
  19. 28
  20. 46
  21. 52
  22. 31
  23. 42
  24. 13
  25. 58
  26. 21
  27. 53
  28. 38
  29. 27
  30. 52
  31. 59
  32. 35
  33. 53
  34. 48
  35. 47
  36. 54
  37. 7
  38. 83
  39. 97
  40. 83

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