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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 496 · 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 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 25? (a) 29 (b) 37 (c) 16 (d) 25
  2. 2.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 4 (b) 34 (c) 67 (d) 37
  3. 3.What is the average of 92, 82, 79, 71 and 76? (a) 81 (b) 79 (c) 80 (d) 100
  4. 4.What is the average of all the whole numbers from 19 to 43? (a) 32 (b) 31 (c) 12 (d) 24
  5. 5.What is the average of 48, 65, 59, 55 and 58? (a) 57 (b) 59 (c) 56 (d) 58
  6. 6.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 23 (b) 7 (c) 11 (d) 8
  7. 7.What is the average of 54, 58, 55, 66, 51 and 88? (a) 62 (b) 63 (c) 64 (d) 61
  8. 8.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 24 (b) 49 (c) 43 (d) 30
  9. 9.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 53 (b) 21 (c) 38 (d) 35
  10. 10.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 36? (a) 36 (b) 39 (c) 30 (d) 63
  11. 11.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 63 (b) 8 (c) 39 (d) 32
  12. 12.What is the average of all the whole numbers from 55 to 71? (a) 8 (b) 16 (c) 64 (d) 63
  13. 13.What is the average of all the whole numbers from 28 to 48? (a) 10 (b) 39 (c) 38 (d) 20
  14. 14.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 5 (b) 22 (c) 18 (d) 35
  15. 15.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 87 (b) 42 (c) 25 (d) 24
  16. 16.What is the average of all the whole numbers from 10 to 44? (a) 27 (b) 34 (c) 17 (d) 28
  17. 17.What is the average of 15, 37, 25, 19, 30 and 36? (a) 29 (b) 26 (c) 27 (d) 28
  18. 18.What is the average of all the whole numbers from 32 to 72? (a) 40 (b) 53 (c) 52 (d) 20
  19. 19.What is the average of 75, 81, 64, 81, 76 and 43? (a) 71 (b) 69 (c) 70 (d) 84
  20. 20.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 3 (b) 4 (c) 11 (d) 24
  21. 21.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 18 (b) 45 (c) 57 (d) 42
  22. 22.What is the average of 14, 23, 9, 12, 13 and 55? (a) 22 (b) 23 (c) 20 (d) 21
  23. 23.What is the average of 62, 45, 65, 43 and 75? (a) 59 (b) 60 (c) 57 (d) 58
  24. 24.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 62? (a) 20 (b) 78 (c) 62 (d) 66
  25. 25.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 99 (b) 63 (c) 43 (d) 50
  26. 26.What is the average of 41, 45, 60, 37, 58 and 59? (a) 60 (b) 49 (c) 51 (d) 50
  27. 27.What is the average of 61, 53, 54 and 60? (a) 56 (b) 57 (c) 58 (d) 76
  28. 28.What is the average of 89, 70, 71, 70, 86 and 94? (a) 96 (b) 79 (c) 80 (d) 81
  29. 29.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 36 (b) 77 (c) 17 (d) 16
  30. 30.What is the average of 35, 42, 50, 51, 26 and 18? (a) 38 (b) 39 (c) 36 (d) 37
  31. 31.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 92 (b) 47 (c) 53 (d) 8
  32. 32.What is the average of all the whole numbers from 5 to 11? (a) 3 (b) 8 (c) 6 (d) 9
  33. 33.What is the average of all the whole numbers from 58 to 66? (a) 4 (b) 63 (c) 62 (d) 8
  34. 34.What is the average of all the whole numbers from 32 to 52? (a) 20 (b) 42 (c) 43 (d) 10
  35. 35.What is the average of all the whole numbers from 58 to 92? (a) 17 (b) 75 (c) 34 (d) 76
  36. 36.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 24 (b) 34 (c) 35 (d) 14
  37. 37.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 5 (b) 62 (c) 29 (d) 6
  38. 38.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 21 (b) 27 (c) 40 (d) 8
  39. 39.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 48 (b) 67 (c) 59 (d) 99
  40. 40.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 43 (b) 37 (c) 35 (d) 10

Answer key

  1. 37
  2. 37
  3. 80
  4. 31
  5. 57
  6. 7
  7. 62
  8. 49
  9. 53
  10. 63
  11. 39
  12. 63
  13. 38
  14. 22
  15. 24
  16. 27
  17. 27
  18. 52
  19. 70
  20. 3
  21. 57
  22. 21
  23. 58
  24. 78
  25. 99
  26. 50
  27. 57
  28. 80
  29. 16
  30. 37
  31. 53
  32. 8
  33. 62
  34. 42
  35. 75
  36. 34
  37. 5
  38. 27
  39. 99
  40. 43

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