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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 892 · 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 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 22 (b) 28 (c) 40 (d) 46
  2. 2.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 39 (c) 79 (d) 56
  3. 3.What is the average of all the whole numbers from 12 to 46? (a) 29 (b) 17 (c) 30 (d) 34
  4. 4.What is the average of 58, 69, 64, 71 and 18? (a) 57 (b) 55 (c) 56 (d) 70
  5. 5.What is the average of 37, 50, 28, 37 and 33? (a) 38 (b) 36 (c) 39 (d) 37
  6. 6.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 26 (c) 8 (d) 30
  7. 7.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 60 (b) 46 (c) 52 (d) 100
  8. 8.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 39 (b) 16 (c) 74 (d) 51
  9. 9.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 50 (b) 66 (c) 61 (d) 106
  10. 10.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 47 (b) 45 (c) 44 (d) 95
  11. 11.What is the average of 78, 93, 95 and 54? (a) 79 (b) 82 (c) 80 (d) 81
  12. 12.What is the average of all the whole numbers from 43 to 77? (a) 61 (b) 34 (c) 17 (d) 60
  13. 13.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 57 (b) 51 (c) 30 (d) 24
  14. 14.What is the average of 79, 70, 77, 76 and 53? (a) 70 (b) 73 (c) 72 (d) 71
  15. 15.What is the average of all the whole numbers from 32 to 64? (a) 32 (b) 16 (c) 49 (d) 48
  16. 16.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 37 (b) 73 (c) 44 (d) 8
  17. 17.What is the average of 87, 59, 78 and 64? (a) 71 (b) 72 (c) 73 (d) 96
  18. 18.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 8 (b) 17 (c) 33 (d) 24
  19. 19.What is the average of 62, 46, 57, 60, 56 and 7? (a) 47 (b) 50 (c) 49 (d) 48
  20. 20.What is the average of 27, 28, 24, 38, 47 and 52? (a) 38 (b) 35 (c) 37 (d) 36
  21. 21.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 36 (b) 85 (c) 35 (d) 42
  22. 22.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 66 (b) 38 (c) 32 (d) 42
  23. 23.What is the average of 76, 57, 80, 86 and 61? (a) 73 (b) 71 (c) 90 (d) 72
  24. 24.What is the average of 50, 38, 50, 55, 59 and 18? (a) 44 (b) 45 (c) 46 (d) 54
  25. 25.What is the average of 27, 53, 31, 53 and 26? (a) 39 (b) 40 (c) 38 (d) 37
  26. 26.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 4 (b) 22 (c) 37 (d) 19
  27. 27.What is the average of 23, 29, 21, 31 and 56? (a) 33 (b) 40 (c) 32 (d) 31
  28. 28.What is the average of 46, 52, 46 and 76? (a) 56 (b) 54 (c) 57 (d) 55
  29. 29.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 84 (b) 27 (c) 41 (d) 28
  30. 30.What is the average of 22, 41, 21 and 28? (a) 30 (b) 27 (c) 29 (d) 28
  31. 31.What is the average of all the whole numbers from 24 to 30? (a) 3 (b) 28 (c) 6 (d) 27
  32. 32.What is the average of all the whole numbers from 30 to 52? (a) 42 (b) 41 (c) 22 (d) 11
  33. 33.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 12 (b) 7 (c) 23 (d) 18
  34. 34.What is the average of 35, 31, 19, 15, 45 and 35? (a) 36 (b) 31 (c) 30 (d) 29
  35. 35.What is the average of 63, 61, 59, 81, 75 and 69? (a) 67 (b) 70 (c) 69 (d) 68
  36. 36.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 58 (b) 53 (c) 68 (d) 20
  37. 37.What is the average of all the whole numbers from 14 to 40? (a) 13 (b) 28 (c) 27 (d) 26
  38. 38.What is the average of all the whole numbers from 23 to 51? (a) 28 (b) 37 (c) 14 (d) 38
  39. 39.What is the average of all the whole numbers from 58 to 86? (a) 73 (b) 28 (c) 14 (d) 72
  40. 40.What is the average of 64, 64, 89 and 95? (a) 79 (b) 77 (c) 78 (d) 104

Answer key

  1. 46
  2. 79
  3. 29
  4. 56
  5. 37
  6. 30
  7. 100
  8. 51
  9. 106
  10. 44
  11. 80
  12. 60
  13. 51
  14. 71
  15. 48
  16. 44
  17. 72
  18. 24
  19. 48
  20. 36
  21. 35
  22. 66
  23. 72
  24. 45
  25. 38
  26. 22
  27. 32
  28. 55
  29. 27
  30. 28
  31. 27
  32. 41
  33. 18
  34. 30
  35. 68
  36. 68
  37. 27
  38. 37
  39. 72
  40. 78

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