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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 839 · 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 75, 62, 80, 91 and 72? (a) 77 (b) 75 (c) 76 (d) 95
  2. 2.What is the average of all the whole numbers from 48 to 62? (a) 56 (b) 55 (c) 14 (d) 7
  3. 3.What is the average of 55, 53, 47 and 29? (a) 47 (b) 48 (c) 46 (d) 45
  4. 4.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 54 (b) 80 (c) 32 (d) 38
  5. 5.What is the average of 51, 58, 78, 62 and 71? (a) 80 (b) 64 (c) 65 (d) 63
  6. 6.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 25 (b) 16 (c) 52 (d) 15
  7. 7.What is the average of 12, 32, 16 and 40? (a) 27 (b) 24 (c) 25 (d) 26
  8. 8.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 77 (b) 59 (c) 65 (d) 24
  9. 9.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 35 (c) 49 (d) 18
  10. 10.What is the average of 64, 56, 79, 75 and 71? (a) 70 (b) 68 (c) 71 (d) 69
  11. 11.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 18 (b) 30 (c) 34 (d) 14
  12. 12.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 49 (b) 40 (c) 100 (d) 39
  13. 13.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 41 (b) 40 (c) 36 (d) 71
  14. 14.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 88 (b) 45 (c) 59 (d) 16
  15. 15.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 31 (b) 10 (c) 11 (d) 65
  16. 16.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 55 (b) 49 (c) 12 (d) 46
  17. 17.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 19 (b) 18 (c) 33 (d) 69
  18. 18.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 56 (b) 28 (c) 52 (d) 76
  19. 19.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 28 (b) 51 (c) 35 (d) 58
  20. 20.What is the average of all the whole numbers from 14 to 36? (a) 11 (b) 22 (c) 26 (d) 25
  21. 21.What is the average of all the whole numbers from 50 to 88? (a) 69 (b) 38 (c) 19 (d) 70
  22. 22.What is the average of 56, 46, 62 and 32? (a) 50 (b) 49 (c) 48 (d) 51
  23. 23.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 16 (b) 50 (c) 64 (d) 98
  24. 24.What is the average of all the whole numbers from 27 to 43? (a) 36 (b) 16 (c) 35 (d) 8
  25. 25.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 15 (b) 64 (c) 73 (d) 61
  26. 26.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 58 (b) 42 (c) 30 (d) 14
  27. 27.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 31 (b) 104 (c) 30 (d) 50
  28. 28.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 52 (b) 28 (c) 53 (d) 51
  29. 29.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 58 (c) 57 (d) 33
  30. 30.What is the average of 78, 80, 57, 82, 65 and 46? (a) 67 (b) 68 (c) 70 (d) 69
  31. 31.What is the average of 33, 48, 28, 49, 55 and 27? (a) 48 (b) 41 (c) 40 (d) 39
  32. 32.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 41 (b) 20 (c) 18 (d) 17
  33. 33.What is the average of 35, 34, 20, 24, 25 and 54? (a) 31 (b) 32 (c) 34 (d) 33
  34. 34.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 62 (b) 59 (c) 27 (d) 83
  35. 35.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 24 (b) 46 (c) 89 (d) 67
  36. 36.What is the average of 29, 14, 40, 11 and 31? (a) 25 (b) 24 (c) 26 (d) 27
  37. 37.What is the average of 84, 70, 68, 87, 72 and 69? (a) 90 (b) 74 (c) 76 (d) 75
  38. 38.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 46 (b) 24 (c) 47 (d) 25
  39. 39.What is the average of all the whole numbers from 22 to 56? (a) 40 (b) 34 (c) 39 (d) 17
  40. 40.What is the average of 46, 25, 18 and 35? (a) 32 (b) 31 (c) 30 (d) 33

Answer key

  1. 76
  2. 55
  3. 46
  4. 80
  5. 64
  6. 15
  7. 25
  8. 77
  9. 49
  10. 69
  11. 30
  12. 39
  13. 71
  14. 59
  15. 10
  16. 55
  17. 18
  18. 76
  19. 58
  20. 25
  21. 69
  22. 49
  23. 64
  24. 35
  25. 73
  26. 42
  27. 30
  28. 52
  29. 57
  30. 68
  31. 40
  32. 17
  33. 32
  34. 83
  35. 67
  36. 25
  37. 75
  38. 46
  39. 39
  40. 31

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