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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 322 · 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 all the whole numbers from 6 to 12? (a) 10 (b) 3 (c) 6 (d) 9
  2. 2.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 52? (a) 80 (b) 52 (c) 32 (d) 56
  3. 3.What is the average of 51, 31, 22, 23, 32 and 57? (a) 37 (b) 38 (c) 35 (d) 36
  4. 4.What is the average of all the whole numbers from 45 to 65? (a) 56 (b) 55 (c) 10 (d) 20
  5. 5.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 50 (b) 45 (c) 101 (d) 46
  6. 6.What is the average of all the whole numbers from 25 to 47? (a) 36 (b) 11 (c) 37 (d) 22
  7. 7.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 36 (c) 47 (d) 75
  8. 8.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 42? (a) 42 (b) 50 (c) 47 (d) 87
  9. 9.What is the average of all the whole numbers from 25 to 35? (a) 10 (b) 5 (c) 30 (d) 31
  10. 10.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 60 (c) 50 (d) 100
  11. 11.What is the average of all the whole numbers from 14 to 48? (a) 34 (b) 31 (c) 17 (d) 32
  12. 12.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 30 (b) 63 (c) 21 (d) 22
  13. 13.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 70 (b) 80 (c) 134 (d) 62
  14. 14.What is the average of 45, 47, 75 and 73? (a) 59 (b) 60 (c) 61 (d) 80
  15. 15.What is the average of all the whole numbers from 7 to 31? (a) 24 (b) 12 (c) 19 (d) 20
  16. 16.What is the average of 73, 67, 49 and 43? (a) 57 (b) 59 (c) 58 (d) 60
  17. 17.What is the average of 34, 56, 49 and 33? (a) 42 (b) 44 (c) 45 (d) 43
  18. 18.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 54? (a) 60 (b) 96 (c) 54 (d) 48
  19. 19.What is the average of 76, 91, 63, 70 and 80? (a) 75 (b) 76 (c) 77 (d) 95
  20. 20.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 57 (b) 10 (c) 49 (d) 51
  21. 21.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 86 (b) 41 (c) 21 (d) 22
  22. 22.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 2 (b) 16 (c) 35 (d) 1
  23. 23.What is the average of all the whole numbers from 12 to 50? (a) 38 (b) 31 (c) 19 (d) 32
  24. 24.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 63 (b) 51 (c) 28 (d) 40
  25. 25.What is the average of all the whole numbers from 11 to 21? (a) 16 (b) 10 (c) 5 (d) 17
  26. 26.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 20 (b) 5 (c) 44 (d) 4
  27. 27.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 70 (c) 60 (d) 118
  28. 28.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) 12 (c) 40 (d) 58
  29. 29.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 74 (b) 38 (c) 16 (d) 52
  30. 30.What is the average of 48, 47, 46, 26, 32 and 35? (a) 41 (b) 40 (c) 39 (d) 38
  31. 31.What is the average of 81, 79, 57 and 59? (a) 69 (b) 70 (c) 68 (d) 92
  32. 32.What is the average of all the whole numbers from 12 to 20? (a) 4 (b) 8 (c) 17 (d) 16
  33. 33.What is the average of all the whole numbers from 35 to 43? (a) 40 (b) 39 (c) 8 (d) 4
  34. 34.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 20 (b) 19 (c) 47 (d) 23
  35. 35.What is the average of all the whole numbers from 37 to 45? (a) 8 (b) 41 (c) 4 (d) 42
  36. 36.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 33? (a) 56 (b) 82 (c) 33 (d) 40
  37. 37.What is the average of all the whole numbers from 48 to 62? (a) 7 (b) 56 (c) 55 (d) 14
  38. 38.What is the average of 37, 16, 37 and 26? (a) 31 (b) 29 (c) 30 (d) 28
  39. 39.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 39 (b) 40 (c) 89 (d) 44
  40. 40.What is the average of all the whole numbers from 54 to 72? (a) 63 (b) 18 (c) 9 (d) 64

Answer key

  1. 9
  2. 80
  3. 36
  4. 55
  5. 45
  6. 36
  7. 75
  8. 87
  9. 30
  10. 100
  11. 31
  12. 21
  13. 134
  14. 60
  15. 19
  16. 58
  17. 43
  18. 96
  19. 76
  20. 57
  21. 21
  22. 1
  23. 31
  24. 63
  25. 16
  26. 4
  27. 118
  28. 40
  29. 52
  30. 39
  31. 69
  32. 16
  33. 39
  34. 19
  35. 41
  36. 82
  37. 55
  38. 29
  39. 39
  40. 63

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