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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 136 · 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 80, 62, 72, 58, 72 and 94? (a) 73 (b) 74 (c) 75 (d) 72
  2. 2.What is the average of 36, 43, 35 and 2? (a) 29 (b) 31 (c) 30 (d) 28
  3. 3.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 54 (b) 1 (c) 2 (d) 25
  4. 4.What is the average of all the whole numbers from 30 to 50? (a) 40 (b) 10 (c) 20 (d) 41
  5. 5.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 7 (b) 8 (c) 15 (d) 32
  6. 6.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 6 (b) 19 (c) 10 (d) 15
  7. 7.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 35 (b) 39 (c) 34 (d) 79
  8. 8.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 48 (b) 98 (c) 39 (d) 38
  9. 9.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 18 (b) 73 (c) 61 (d) 58
  10. 10.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 33 (b) 61 (c) 25 (d) 53
  11. 11.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 69 (b) 28 (c) 55 (d) 48
  12. 12.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 36 (b) 85 (c) 42 (d) 35
  13. 13.What is the average of 69, 52, 58, 40, 69 and 42? (a) 56 (b) 66 (c) 55 (d) 54
  14. 14.What is the average of 71, 73, 50, 59, 49 and 64? (a) 62 (b) 61 (c) 60 (d) 63
  15. 15.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 27 (b) 56 (c) 77 (d) 53
  16. 16.What is the average of all the whole numbers from 43 to 63? (a) 54 (b) 10 (c) 20 (d) 53
  17. 17.What is the average of all the whole numbers from 26 to 58? (a) 42 (b) 43 (c) 32 (d) 16
  18. 18.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 69 (c) 40 (d) 39
  19. 19.What is the average of 47, 65, 73 and 51? (a) 58 (b) 60 (c) 59 (d) 61
  20. 20.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 46 (b) 38 (c) 40 (d) 70
  21. 21.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 18 (c) 75 (d) 59
  22. 22.What is the average of all the whole numbers from 14 to 26? (a) 6 (b) 12 (c) 21 (d) 20
  23. 23.What is the average of 32, 30, 36, 54, 41 and 41? (a) 39 (b) 40 (c) 38 (d) 41
  24. 24.What is the average of 32, 29, 42 and 69? (a) 44 (b) 42 (c) 43 (d) 45
  25. 25.What is the average of all the whole numbers from 46 to 84? (a) 19 (b) 38 (c) 65 (d) 66
  26. 26.What is the average of 22, 13, 11, 32 and 52? (a) 25 (b) 26 (c) 28 (d) 27
  27. 27.What is the average of 35, 34, 61, 37 and 63? (a) 48 (b) 47 (c) 46 (d) 45
  28. 28.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 49 (b) 6 (c) 97 (d) 54
  29. 29.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 16 (b) 34 (c) 4 (d) 5
  30. 30.What is the average of all the whole numbers from 47 to 55? (a) 4 (b) 51 (c) 8 (d) 52
  31. 31.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 30 (b) 28 (c) 55 (d) 31
  32. 32.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 12 (b) 26 (c) 31 (d) 17
  33. 33.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 36 (b) 77 (c) 2 (d) 1
  34. 34.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 25 (b) 49 (c) 54 (d) 69
  35. 35.What is the average of all the whole numbers from 35 to 47? (a) 41 (b) 12 (c) 6 (d) 42
  36. 36.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 97 (b) 42 (c) 48 (d) 43
  37. 37.What is the average of 56, 35, 30 and 47? (a) 56 (b) 42 (c) 41 (d) 43
  38. 38.What is the average of 43, 66, 70 and 53? (a) 59 (b) 58 (c) 57 (d) 60
  39. 39.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 10 (b) 17 (c) 36 (d) 9
  40. 40.What is the average of 45, 25, 23, 28, 50 and 57? (a) 38 (b) 39 (c) 40 (d) 37

Answer key

  1. 73
  2. 29
  3. 1
  4. 40
  5. 7
  6. 15
  7. 34
  8. 38
  9. 73
  10. 53
  11. 69
  12. 35
  13. 55
  14. 61
  15. 77
  16. 53
  17. 42
  18. 69
  19. 59
  20. 70
  21. 75
  22. 20
  23. 39
  24. 43
  25. 65
  26. 26
  27. 46
  28. 54
  29. 4
  30. 51
  31. 55
  32. 26
  33. 1
  34. 69
  35. 41
  36. 42
  37. 42
  38. 58
  39. 9
  40. 38

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