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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 460 · 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 6 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 33 (b) 14 (c) 70 (d) 13
  2. 2.What is the average of 43, 25, 32 and 20? (a) 31 (b) 29 (c) 40 (d) 30
  3. 3.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 3 (b) 36 (c) 4 (d) 17
  4. 4.What is the average of all the whole numbers from 20 to 48? (a) 35 (b) 28 (c) 14 (d) 34
  5. 5.What is the average of all the whole numbers from 39 to 47? (a) 8 (b) 44 (c) 4 (d) 43
  6. 6.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 39 (b) 32 (c) 74 (d) 67
  7. 7.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 41 (b) 89 (c) 35 (d) 60
  8. 8.What is the average of all the whole numbers from 35 to 59? (a) 12 (b) 48 (c) 24 (d) 47
  9. 9.What is the average of all the whole numbers from 42 to 66? (a) 54 (b) 55 (c) 24 (d) 12
  10. 10.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 20 (c) 69 (d) 79
  11. 11.What is the average of 86, 80, 68, 67, 90 and 71? (a) 76 (b) 77 (c) 78 (d) 79
  12. 12.What is the average of all the whole numbers from 52 to 86? (a) 34 (b) 69 (c) 70 (d) 17
  13. 13.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 23 (b) 21 (c) 43 (d) 41
  14. 14.What is the average of all the whole numbers from 39 to 67? (a) 28 (b) 14 (c) 53 (d) 54
  15. 15.What is the average of all the whole numbers from 59 to 73? (a) 14 (b) 67 (c) 66 (d) 7
  16. 16.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 32 (c) 63 (d) 79
  17. 17.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 46? (a) 53 (b) 63 (c) 102 (d) 46
  18. 18.What is the average of 54, 46, 60, 52 and 93? (a) 60 (b) 62 (c) 61 (d) 63
  19. 19.What is the average of all the whole numbers from 13 to 53? (a) 33 (b) 20 (c) 40 (d) 34
  20. 20.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 15 (b) 43 (c) 40 (d) 52
  21. 21.What is the average of all the whole numbers from 26 to 62? (a) 44 (b) 36 (c) 18 (d) 45
  22. 22.What is the average of 12, 33, 8 and 31? (a) 21 (b) 20 (c) 22 (d) 28
  23. 23.What is the average of all the whole numbers from 17 to 29? (a) 23 (b) 24 (c) 12 (d) 6
  24. 24.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 72 (b) 102 (c) 46 (d) 38
  25. 25.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 62 (b) 30 (c) 24 (d) 25
  26. 26.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 27 (b) 44 (c) 91 (d) 26
  27. 27.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 13 (b) 21 (c) 38 (d) 30
  28. 28.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 10 (b) 70 (c) 36 (d) 44
  29. 29.What is the average of 35, 46, 57, 56 and 56? (a) 51 (b) 49 (c) 52 (d) 50
  30. 30.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 35 (b) 31 (c) 30 (d) 71
  31. 31.What is the average of 65, 49, 37 and 57? (a) 53 (b) 52 (c) 54 (d) 51
  32. 32.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 58 (c) 49 (d) 93
  33. 33.What is the average of 44, 28, 33, 31, 34 and 88? (a) 43 (b) 45 (c) 42 (d) 44
  34. 34.What is the average of 75, 72, 72 and 37? (a) 64 (b) 66 (c) 63 (d) 65
  35. 35.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 68? (a) 116 (b) 56 (c) 76 (d) 68
  36. 36.What is the average of all the whole numbers from 51 to 67? (a) 60 (b) 16 (c) 8 (d) 59
  37. 37.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 22 (b) 13 (c) 47 (d) 14
  38. 38.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 76 (b) 75 (c) 40 (d) 74
  39. 39.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 67 (b) 66 (c) 42 (d) 36
  40. 40.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 53 (b) 12 (c) 59 (d) 50

Answer key

  1. 13
  2. 30
  3. 3
  4. 34
  5. 43
  6. 67
  7. 89
  8. 47
  9. 54
  10. 79
  11. 77
  12. 69
  13. 41
  14. 53
  15. 66
  16. 79
  17. 102
  18. 61
  19. 33
  20. 52
  21. 44
  22. 21
  23. 23
  24. 102
  25. 24
  26. 26
  27. 38
  28. 44
  29. 50
  30. 30
  31. 52
  32. 93
  33. 43
  34. 64
  35. 116
  36. 59
  37. 13
  38. 75
  39. 66
  40. 59

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