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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 563 · 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.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 52 (c) 100 (d) 64
  2. 2.What is the average of 41, 57, 51, 58, 29 and 22? (a) 44 (b) 42 (c) 43 (d) 45
  3. 3.What is the average of 21, 30, 38, 23, 21 and 47? (a) 29 (b) 30 (c) 36 (d) 31
  4. 4.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 42 (b) 41 (c) 69 (d) 34
  5. 5.What is the average of all the whole numbers from 9 to 15? (a) 6 (b) 13 (c) 12 (d) 3
  6. 6.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 10 (b) 15 (c) 32 (d) 9
  7. 7.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) 58 (c) 22 (d) 23
  8. 8.What is the average of all the whole numbers from 5 to 45? (a) 20 (b) 40 (c) 26 (d) 25
  9. 9.What is the average of 76, 78, 66, 78 and 57? (a) 71 (b) 72 (c) 73 (d) 70
  10. 10.What is the average of 64, 38, 51, 62, 44 and 59? (a) 52 (b) 53 (c) 55 (d) 54
  11. 11.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 29 (b) 26 (c) 4 (d) 51
  12. 12.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 76 (b) 48 (c) 32 (d) 92
  13. 13.What is the average of 56, 51, 74 and 75? (a) 65 (b) 64 (c) 66 (d) 63
  14. 14.What is the average of 42, 49, 45, 60, 47 and 57? (a) 60 (b) 50 (c) 51 (d) 49
  15. 15.What is the average of 68, 70, 68 and 54? (a) 67 (b) 64 (c) 65 (d) 66
  16. 16.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 57 (b) 32 (c) 41 (d) 33
  17. 17.What is the average of all the whole numbers from 14 to 30? (a) 16 (b) 8 (c) 22 (d) 23
  18. 18.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 47 (b) 99 (c) 27 (d) 28
  19. 19.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 65? (a) 71 (b) 65 (c) 24 (d) 83
  20. 20.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 79 (c) 49 (d) 44
  21. 21.What is the average of all the whole numbers from 44 to 50? (a) 48 (b) 47 (c) 6 (d) 3
  22. 22.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 25 (b) 16 (c) 13 (d) 4
  23. 23.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 42 (b) 54 (c) 16 (d) 80
  24. 24.What is the average of 68, 51, 74 and 51? (a) 62 (b) 60 (c) 61 (d) 63
  25. 25.What is the average of all the whole numbers from 45 to 77? (a) 62 (b) 32 (c) 61 (d) 16
  26. 26.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 56 (b) 26 (c) 15 (d) 14
  27. 27.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 23? (a) 35 (b) 23 (c) 15 (d) 26
  28. 28.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 12 (c) 24 (d) 32
  29. 29.What is the average of 43, 30, 24 and 35? (a) 34 (b) 33 (c) 44 (d) 32
  30. 30.What is the average of all the whole numbers from 56 to 70? (a) 14 (b) 63 (c) 64 (d) 7
  31. 31.What is the average of 43, 40, 42, 44 and 56? (a) 46 (b) 44 (c) 47 (d) 45
  32. 32.What is the average of all the whole numbers from 15 to 35? (a) 10 (b) 20 (c) 26 (d) 25
  33. 33.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 96 (b) 49 (c) 55 (d) 8
  34. 34.What is the average of all the whole numbers from 57 to 75? (a) 67 (b) 18 (c) 9 (d) 66
  35. 35.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 43 (b) 44 (c) 24 (d) 25
  36. 36.What is the average of 14, 31, 5, 7, 20 and 43? (a) 19 (b) 24 (c) 21 (d) 20
  37. 37.What is the average of 65, 64, 64, 55, 62 and 26? (a) 58 (b) 56 (c) 55 (d) 57
  38. 38.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 34? (a) 88 (b) 60 (c) 40 (d) 34
  39. 39.What is the average of all the whole numbers from 12 to 36? (a) 24 (b) 12 (c) 25 (d) 23
  40. 40.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 65 (b) 55 (c) 20 (d) 50

Answer key

  1. 100
  2. 43
  3. 30
  4. 69
  5. 12
  6. 9
  7. 22
  8. 25
  9. 71
  10. 53
  11. 29
  12. 76
  13. 64
  14. 50
  15. 65
  16. 57
  17. 22
  18. 27
  19. 83
  20. 79
  21. 47
  22. 16
  23. 54
  24. 61
  25. 61
  26. 14
  27. 35
  28. 32
  29. 33
  30. 63
  31. 45
  32. 25
  33. 55
  34. 66
  35. 44
  36. 20
  37. 56
  38. 88
  39. 24
  40. 65

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