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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 284 · 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 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 20 (b) 19 (c) 12 (d) 27
  2. 2.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 27 (b) 51 (c) 42 (d) 18
  3. 3.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 40? (a) 44 (b) 32 (c) 40 (d) 68
  4. 4.What is the average of all the whole numbers from 55 to 79? (a) 24 (b) 68 (c) 67 (d) 12
  5. 5.What is the average of all the whole numbers from 26 to 48? (a) 38 (b) 22 (c) 11 (d) 37
  6. 6.What is the average of all the whole numbers from 27 to 33? (a) 6 (b) 30 (c) 3 (d) 31
  7. 7.What is the average of 69, 73, 47, 47 and 64? (a) 59 (b) 61 (c) 75 (d) 60
  8. 8.What is the average of 25, 15, 26, 18 and 51? (a) 26 (b) 27 (c) 29 (d) 28
  9. 9.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 26 (b) 32 (c) 43 (d) 15
  10. 10.What is the average of all the whole numbers from 24 to 34? (a) 10 (b) 5 (c) 30 (d) 29
  11. 11.What is the average of all the whole numbers from 16 to 46? (a) 15 (b) 32 (c) 30 (d) 31
  12. 12.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 29? (a) 12 (b) 29 (c) 39 (d) 31
  13. 13.What is the average of 84, 79, 81, 73 and 38? (a) 73 (b) 71 (c) 70 (d) 72
  14. 14.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) 24 (b) 8 (c) 17 (d) 33
  15. 15.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 52 (b) 65 (c) 34 (d) 21
  16. 16.What is the average of all the whole numbers from 19 to 51? (a) 16 (b) 35 (c) 36 (d) 32
  17. 17.What is the average of 60, 53, 59, 58 and 55? (a) 57 (b) 58 (c) 59 (d) 56
  18. 18.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 25 (b) 17 (c) 31 (d) 11
  19. 19.What is the average of all the whole numbers from 50 to 58? (a) 54 (b) 55 (c) 8 (d) 4
  20. 20.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 58 (b) 30 (c) 36 (d) 8
  21. 21.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 50 (c) 83 (d) 43
  22. 22.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 13 (b) 16 (c) 12 (d) 33
  23. 23.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 45 (c) 24 (d) 57
  24. 24.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 54 (c) 72 (d) 110
  25. 25.What is the average of 26, 25, 28, 27 and 19? (a) 25 (b) 26 (c) 24 (d) 27
  26. 26.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 132 (c) 68 (d) 80
  27. 27.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 42 (b) 39 (c) 4 (d) 77
  28. 28.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 80 (b) 50 (c) 44 (d) 42
  29. 29.What is the average of 18, 28, 23, 25 and 36? (a) 26 (b) 25 (c) 27 (d) 28
  30. 30.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 30 (b) 59 (c) 36 (d) 7
  31. 31.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 42 (b) 41 (c) 46 (d) 93
  32. 32.What is the average of 82, 73, 64 and 69? (a) 96 (b) 73 (c) 71 (d) 72
  33. 33.What is the average of 91, 78, 86, 63 and 62? (a) 95 (b) 77 (c) 76 (d) 75
  34. 34.What is the average of 54, 59, 72, 52 and 83? (a) 80 (b) 63 (c) 64 (d) 65
  35. 35.What is the average of 85, 65, 69 and 61? (a) 71 (b) 69 (c) 72 (d) 70
  36. 36.What is the average of 43, 27, 42, 34, 43 and 39? (a) 40 (b) 37 (c) 39 (d) 38
  37. 37.What is the average of 37, 30, 24 and 21? (a) 30 (b) 28 (c) 29 (d) 27
  38. 38.What is the average of all the whole numbers from 8 to 36? (a) 14 (b) 28 (c) 22 (d) 23
  39. 39.What is the average of 35, 31, 16, 28, 22 and 48? (a) 31 (b) 30 (c) 29 (d) 36
  40. 40.What is the average of 38, 61, 53 and 44? (a) 50 (b) 49 (c) 48 (d) 51

Answer key

  1. 27
  2. 42
  3. 68
  4. 67
  5. 37
  6. 30
  7. 60
  8. 27
  9. 43
  10. 29
  11. 31
  12. 39
  13. 71
  14. 24
  15. 52
  16. 35
  17. 57
  18. 31
  19. 54
  20. 36
  21. 83
  22. 12
  23. 57
  24. 110
  25. 25
  26. 132
  27. 42
  28. 80
  29. 26
  30. 36
  31. 41
  32. 72
  33. 76
  34. 64
  35. 70
  36. 38
  37. 28
  38. 22
  39. 30
  40. 49

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