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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 876 · 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 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 49 (b) 93 (c) 35 (d) 79
  2. 2.What is the average of 44, 54, 47, 65 and 65? (a) 56 (b) 57 (c) 54 (d) 55
  3. 3.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 50? (a) 86 (b) 42 (c) 50 (d) 56
  4. 4.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 26 (b) 54 (c) 48 (d) 32
  5. 5.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 49 (b) 53 (c) 29 (d) 25
  6. 6.What is the average of 12, 14, 11 and 51? (a) 23 (b) 21 (c) 22 (d) 24
  7. 7.What is the average of 72, 77, 77, 60, 53 and 63? (a) 67 (b) 68 (c) 69 (d) 66
  8. 8.What is the average of all the whole numbers from 27 to 39? (a) 6 (b) 33 (c) 34 (d) 12
  9. 9.What is the average of 22, 19, 17, 33, 28 and 43? (a) 29 (b) 27 (c) 28 (d) 26
  10. 10.What is the average of 17, 23, 25, 22 and 48? (a) 26 (b) 27 (c) 28 (d) 29
  11. 11.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) 65 (b) 70 (c) 45 (d) 105
  12. 12.What is the average of 69, 62, 86 and 83? (a) 75 (b) 76 (c) 100 (d) 74
  13. 13.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) 59 (b) 24 (c) 65 (d) 77
  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 36? (a) 44 (b) 48 (c) 76 (d) 36
  15. 15.What is the average of 68, 48, 44, 70 and 60? (a) 60 (b) 57 (c) 58 (d) 59
  16. 16.What is the average of 14, 11, 13 and 54? (a) 24 (b) 25 (c) 22 (d) 23
  17. 17.What is the average of all the whole numbers from 28 to 40? (a) 12 (b) 6 (c) 35 (d) 34
  18. 18.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 28 (b) 53 (c) 37 (d) 12
  19. 19.What is the average of all the whole numbers from 13 to 39? (a) 25 (b) 13 (c) 27 (d) 26
  20. 20.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 81 (b) 57 (c) 32 (d) 65
  21. 21.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 29 (b) 56 (c) 14 (d) 41
  22. 22.What is the average of 52, 65, 42, 43, 49 and 91? (a) 58 (b) 59 (c) 57 (d) 56
  23. 23.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 79 (c) 35 (d) 58
  24. 24.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 28 (b) 37 (c) 44 (d) 58
  25. 25.What is the average of 73, 73, 76, 71, 83 and 50? (a) 71 (b) 70 (c) 72 (d) 73
  26. 26.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 34? (a) 28 (b) 38 (c) 58 (d) 34
  27. 27.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 39 (b) 60 (c) 35 (d) 32
  28. 28.What is the average of all the whole numbers from 19 to 31? (a) 26 (b) 12 (c) 6 (d) 25
  29. 29.What is the average of 29, 14, 16, 17 and 39? (a) 25 (b) 22 (c) 24 (d) 23
  30. 30.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 15 (b) 54 (c) 45 (d) 42
  31. 31.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 55 (b) 21 (c) 47 (d) 29
  32. 32.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 18 (b) 21 (c) 43 (d) 17
  33. 33.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 18 (b) 43 (c) 53 (d) 28
  34. 34.What is the average of all the whole numbers from 47 to 69? (a) 22 (b) 59 (c) 58 (d) 11
  35. 35.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 32 (b) 33 (c) 71 (d) 35
  36. 36.What is the average of all the whole numbers from 40 to 46? (a) 43 (b) 44 (c) 6 (d) 3
  37. 37.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 87 (b) 4 (c) 47 (d) 44
  38. 38.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 15 (b) 16 (c) 28 (d) 29
  39. 39.What is the average of all the whole numbers from 56 to 64? (a) 8 (b) 60 (c) 4 (d) 61
  40. 40.What is the average of all the whole numbers from 12 to 32? (a) 10 (b) 22 (c) 20 (d) 23

Answer key

  1. 79
  2. 55
  3. 86
  4. 54
  5. 49
  6. 22
  7. 67
  8. 33
  9. 27
  10. 27
  11. 105
  12. 75
  13. 77
  14. 76
  15. 58
  16. 23
  17. 34
  18. 37
  19. 26
  20. 81
  21. 41
  22. 57
  23. 79
  24. 58
  25. 71
  26. 58
  27. 60
  28. 25
  29. 23
  30. 54
  31. 47
  32. 17
  33. 43
  34. 58
  35. 32
  36. 43
  37. 47
  38. 29
  39. 60
  40. 22

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