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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 332 · 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 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 41 (b) 28 (c) 40 (d) 16
  2. 2.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 28 (b) 22 (c) 58 (d) 23
  3. 3.What is the average of all the whole numbers from 23 to 53? (a) 30 (b) 38 (c) 39 (d) 15
  4. 4.What is the average of all the whole numbers from 23 to 49? (a) 13 (b) 36 (c) 26 (d) 37
  5. 5.What is the average of all the whole numbers from 14 to 54? (a) 40 (b) 35 (c) 20 (d) 34
  6. 6.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 17 (b) 20 (c) 4 (d) 33
  7. 7.What is the average of 49, 54, 50, 66 and 101? (a) 64 (b) 65 (c) 80 (d) 63
  8. 8.What is the average of 44, 54, 37, 64, 44 and 51? (a) 50 (b) 48 (c) 51 (d) 49
  9. 9.What is the average of all the whole numbers from 7 to 45? (a) 19 (b) 38 (c) 26 (d) 27
  10. 10.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 24 (b) 45 (c) 44 (d) 43
  11. 11.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 41 (b) 17 (c) 16 (d) 20
  12. 12.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 12 (b) 58 (c) 64 (d) 55
  13. 13.What is the average of 90, 85, 81 and 44? (a) 76 (b) 75 (c) 74 (d) 100
  14. 14.What is the average of 49, 42, 43, 29, 35 and 18? (a) 37 (b) 38 (c) 36 (d) 35
  15. 15.What is the average of 26, 32, 28, 28, 34 and 56? (a) 35 (b) 33 (c) 36 (d) 34
  16. 16.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 65? (a) 105 (b) 65 (c) 45 (d) 70
  17. 17.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) 74 (b) 67 (c) 39 (d) 32
  18. 18.What is the average of 75, 70, 56 and 75? (a) 92 (b) 69 (c) 70 (d) 68
  19. 19.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 10 (b) 42 (c) 22 (d) 30
  20. 20.What is the average of 35, 50, 46, 37, 47 and 73? (a) 47 (b) 48 (c) 50 (d) 49
  21. 21.What is the average of 86, 67, 71, 67, 68 and 115? (a) 80 (b) 78 (c) 79 (d) 81
  22. 22.What is the average of all the whole numbers from 8 to 28? (a) 20 (b) 19 (c) 10 (d) 18
  23. 23.What is the average of all the whole numbers from 13 to 39? (a) 27 (b) 25 (c) 13 (d) 26
  24. 24.What is the average of 34, 20, 35, 12, 8 and 17? (a) 23 (b) 20 (c) 22 (d) 21
  25. 25.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 47 (b) 43 (c) 32 (d) 71
  26. 26.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 44? (a) 12 (b) 47 (c) 44 (d) 53
  27. 27.What is the average of all the whole numbers from 24 to 60? (a) 42 (b) 43 (c) 18 (d) 36
  28. 28.What is the average of 30, 23, 40, 22 and 10? (a) 24 (b) 26 (c) 27 (d) 25
  29. 29.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 46 (b) 58 (c) 16 (d) 88
  30. 30.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 11 (b) 32 (c) 19 (d) 24
  31. 31.What is the average of all the whole numbers from 55 to 71? (a) 8 (b) 64 (c) 16 (d) 63
  32. 32.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 35 (c) 31 (d) 8
  33. 33.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 68? (a) 72 (b) 132 (c) 68 (d) 76
  34. 34.What is the average of 92, 78, 91, 90, 79 and 38? (a) 79 (b) 77 (c) 80 (d) 78
  35. 35.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 53 (b) 50 (c) 65 (d) 18
  36. 36.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 14 (b) 28 (c) 30 (d) 16
  37. 37.What is the average of 45, 25, 30, 34, 32 and 68? (a) 40 (b) 38 (c) 41 (d) 39
  38. 38.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 44 (b) 18 (c) 59 (d) 85
  39. 39.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 15 (b) 31 (c) 26 (d) 20
  40. 40.What is the average of 17, 14, 29 and 32? (a) 23 (b) 22 (c) 25 (d) 24

Answer key

  1. 40
  2. 22
  3. 38
  4. 36
  5. 34
  6. 20
  7. 64
  8. 49
  9. 26
  10. 44
  11. 16
  12. 64
  13. 75
  14. 36
  15. 34
  16. 105
  17. 67
  18. 69
  19. 30
  20. 48
  21. 79
  22. 18
  23. 26
  24. 21
  25. 71
  26. 53
  27. 42
  28. 25
  29. 58
  30. 32
  31. 63
  32. 35
  33. 132
  34. 78
  35. 65
  36. 28
  37. 39
  38. 59
  39. 31
  40. 23

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