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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 327 · 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 all the whole numbers from 52 to 78? (a) 26 (b) 66 (c) 65 (d) 13
  2. 2.What is the average of 71, 86, 60, 57 and 81? (a) 73 (b) 71 (c) 70 (d) 72
  3. 3.What is the average of 44, 51, 36, 44, 28 and 37? (a) 41 (b) 39 (c) 40 (d) 48
  4. 4.What is the average of 54, 62, 57 and 87? (a) 65 (b) 66 (c) 67 (d) 64
  5. 5.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 39? (a) 63 (b) 30 (c) 39 (d) 45
  6. 6.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 80 (b) 54 (c) 62 (d) 126
  7. 7.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 22 (b) 46 (c) 23 (d) 96
  8. 8.What is the average of 24, 34, 12 and 38? (a) 36 (b) 28 (c) 26 (d) 27
  9. 9.What is the average of all the whole numbers from 42 to 50? (a) 46 (b) 4 (c) 47 (d) 8
  10. 10.What is the average of all the whole numbers from 57 to 67? (a) 63 (b) 10 (c) 62 (d) 5
  11. 11.What is the average of all the whole numbers from 8 to 18? (a) 5 (b) 10 (c) 14 (d) 13
  12. 12.What is the average of 48, 59, 48, 67, 55 and 89? (a) 61 (b) 63 (c) 62 (d) 60
  13. 13.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) 33 (b) 57 (c) 30 (d) 58
  14. 14.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 4 (b) 38 (c) 69 (d) 35
  15. 15.What is the average of 35, 33, 28, 44, 34 and 48? (a) 36 (b) 39 (c) 38 (d) 37
  16. 16.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 55 (b) 90 (c) 48 (d) 49
  17. 17.What is the average of 43, 50, 50, 52 and 15? (a) 43 (b) 42 (c) 44 (d) 41
  18. 18.What is the average of all the whole numbers from 46 to 72? (a) 60 (b) 13 (c) 26 (d) 59
  19. 19.What is the average of 50, 54, 51 and 49? (a) 50 (b) 68 (c) 51 (d) 52
  20. 20.What is the average of 40, 50, 48 and 46? (a) 47 (b) 45 (c) 46 (d) 48
  21. 21.What is the average of 23, 6, 8, 6, 30 and 47? (a) 19 (b) 24 (c) 21 (d) 20
  22. 22.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 18 (b) 19 (c) 57 (d) 27
  23. 23.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 7 (b) 79 (c) 40 (d) 46
  24. 24.What is the average of 61, 51, 64, 36, 37 and 51? (a) 60 (b) 50 (c) 49 (d) 51
  25. 25.What is the average of all the whole numbers from 53 to 75? (a) 65 (b) 22 (c) 11 (d) 64
  26. 26.What is the average of all the whole numbers from 54 to 84? (a) 70 (b) 69 (c) 30 (d) 15
  27. 27.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 47 (b) 18 (c) 32 (d) 46
  28. 28.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 43 (b) 36 (c) 71 (d) 8
  29. 29.What is the average of all the whole numbers from 19 to 59? (a) 40 (b) 20 (c) 38 (d) 39
  30. 30.What is the average of all the whole numbers from 45 to 71? (a) 26 (b) 59 (c) 58 (d) 13
  31. 31.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 58 (b) 70 (c) 56 (d) 16
  32. 32.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 95 (b) 47 (c) 56 (d) 55
  33. 33.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 66? (a) 66 (b) 40 (c) 74 (d) 98
  34. 34.What is the average of all the whole numbers from 24 to 48? (a) 36 (b) 12 (c) 24 (d) 37
  35. 35.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 60 (b) 25 (c) 45 (d) 40
  36. 36.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 49 (b) 22 (c) 3 (d) 2
  37. 37.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 20 (b) 35 (c) 25 (d) 40
  38. 38.What is the average of all the whole numbers from 17 to 43? (a) 31 (b) 13 (c) 26 (d) 30
  39. 39.What is the average of 36, 41, 36, 57 and 70? (a) 47 (b) 60 (c) 48 (d) 49
  40. 40.What is the average of 23, 35, 7 and 15? (a) 20 (b) 22 (c) 19 (d) 21

Answer key

  1. 65
  2. 71
  3. 40
  4. 65
  5. 63
  6. 126
  7. 22
  8. 27
  9. 46
  10. 62
  11. 13
  12. 61
  13. 57
  14. 38
  15. 37
  16. 90
  17. 42
  18. 59
  19. 51
  20. 46
  21. 20
  22. 18
  23. 46
  24. 50
  25. 64
  26. 69
  27. 46
  28. 43
  29. 39
  30. 58
  31. 70
  32. 95
  33. 98
  34. 36
  35. 60
  36. 2
  37. 40
  38. 30
  39. 48
  40. 20

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