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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 318 · 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 4 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 20 (b) 60 (c) 45 (d) 85
  2. 2.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 78 (b) 50 (c) 33 (d) 38
  3. 3.What is the average of all the whole numbers from 43 to 77? (a) 61 (b) 17 (c) 60 (d) 34
  4. 4.What is the average of 42, 17, 17 and 36? (a) 29 (b) 30 (c) 27 (d) 28
  5. 5.What is the average of 56, 55, 85, 83, 61 and 80? (a) 71 (b) 70 (c) 69 (d) 84
  6. 6.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 28 (b) 44 (c) 48 (d) 24
  7. 7.What is the average of all the whole numbers from 8 to 14? (a) 6 (b) 11 (c) 3 (d) 12
  8. 8.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 63 (c) 16 (d) 75
  9. 9.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 21 (b) 44 (c) 26 (d) 49
  10. 10.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 74 (b) 59 (c) 64 (d) 20
  11. 11.What is the average of 46, 46, 52, 49 and 72? (a) 52 (b) 53 (c) 54 (d) 55
  12. 12.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 56 (b) 91 (c) 42 (d) 49
  13. 13.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 53 (b) 8 (c) 25 (d) 7
  14. 14.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 30 (b) 38 (c) 58 (d) 33
  15. 15.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 89 (b) 35 (c) 47 (d) 77
  16. 16.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) 70 (b) 14 (c) 33 (d) 13
  17. 17.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 65 (b) 55 (c) 14 (d) 53
  18. 18.What is the average of all the whole numbers from 16 to 44? (a) 14 (b) 28 (c) 31 (d) 30
  19. 19.What is the average of 66, 42, 49, 50 and 73? (a) 57 (b) 55 (c) 56 (d) 70
  20. 20.What is the average of 64, 73, 63, 47 and 63? (a) 62 (b) 64 (c) 61 (d) 63
  21. 21.What is the average of all the whole numbers from 6 to 38? (a) 23 (b) 22 (c) 16 (d) 32
  22. 22.What is the average of 31, 45, 31, 26 and 57? (a) 37 (b) 39 (c) 40 (d) 38
  23. 23.What is the average of 60, 48, 45, 53 and 94? (a) 59 (b) 60 (c) 61 (d) 75
  24. 24.What is the average of 42, 40, 49, 32, 33 and 80? (a) 47 (b) 45 (c) 46 (d) 48
  25. 25.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 108 (b) 66 (c) 60 (d) 54
  26. 26.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 49? (a) 49 (b) 55 (c) 8 (d) 51
  27. 27.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 44 (b) 16 (c) 84 (d) 56
  28. 28.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 42 (b) 43 (c) 73 (d) 37
  29. 29.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 21 (b) 2 (c) 47 (d) 1
  30. 30.What is the average of all the whole numbers from 39 to 49? (a) 10 (b) 45 (c) 44 (d) 5
  31. 31.What is the average of 30, 17, 18 and 27? (a) 23 (b) 22 (c) 24 (d) 25
  32. 32.What is the average of 36, 35, 31, 16, 24 and 14? (a) 28 (b) 25 (c) 26 (d) 27
  33. 33.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 50 (b) 101 (c) 46 (d) 47
  34. 34.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 15 (c) 61 (d) 70
  35. 35.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 39 (b) 25 (c) 34 (d) 54
  36. 36.What is the average of 57, 55, 36, 43 and 64? (a) 52 (b) 53 (c) 51 (d) 50
  37. 37.What is the average of 19, 10, 10, 21 and 55? (a) 24 (b) 22 (c) 23 (d) 25
  38. 38.What is the average of 52, 37, 27 and 32? (a) 37 (b) 36 (c) 38 (d) 39
  39. 39.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 52 (b) 68 (c) 24 (d) 48
  40. 40.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 16 (b) 24 (c) 29 (d) 37

Answer key

  1. 60
  2. 78
  3. 60
  4. 28
  5. 70
  6. 48
  7. 11
  8. 75
  9. 44
  10. 74
  11. 53
  12. 91
  13. 7
  14. 58
  15. 77
  16. 13
  17. 65
  18. 30
  19. 56
  20. 62
  21. 22
  22. 38
  23. 60
  24. 46
  25. 108
  26. 55
  27. 56
  28. 73
  29. 1
  30. 44
  31. 23
  32. 26
  33. 46
  34. 70
  35. 54
  36. 51
  37. 23
  38. 37
  39. 68
  40. 37

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