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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 732 · 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 43 to 57? (a) 14 (b) 7 (c) 51 (d) 50
  2. 2.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 34 (b) 25 (c) 47 (d) 12
  3. 3.What is the average of 64, 70, 65 and 73? (a) 67 (b) 68 (c) 69 (d) 70
  4. 4.What is the average of 68, 83, 69, 62 and 93? (a) 74 (b) 77 (c) 76 (d) 75
  5. 5.What is the average of 27, 33, 23, 12, 24 and 1? (a) 19 (b) 24 (c) 20 (d) 21
  6. 6.What is the average of 62, 51, 57, 64, 69 and 57? (a) 61 (b) 72 (c) 59 (d) 60
  7. 7.What is the average of 53, 44, 74, 67, 55 and 61? (a) 60 (b) 61 (c) 59 (d) 58
  8. 8.What is the average of 56, 86, 68 and 74? (a) 72 (b) 71 (c) 73 (d) 70
  9. 9.What is the average of all the whole numbers from 58 to 76? (a) 68 (b) 67 (c) 18 (d) 9
  10. 10.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 14 (b) 29 (c) 32 (d) 17
  11. 11.A batter has an average of 43 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 42 (b) 55 (c) 85 (d) 49
  12. 12.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 22 (b) 24 (c) 14 (d) 12
  13. 13.What is the average of all the whole numbers from 13 to 39? (a) 26 (b) 13 (c) 25 (d) 27
  14. 14.What is the average of 38, 40, 43, 45, 34 and 88? (a) 48 (b) 50 (c) 47 (d) 49
  15. 15.What is the average of 33, 37, 29 and 69? (a) 43 (b) 56 (c) 41 (d) 42
  16. 16.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 64 (b) 18 (c) 52 (d) 49
  17. 17.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 46 (b) 52 (c) 12 (d) 43
  18. 18.What is the average of 29, 26, 15, 29, 36 and 39? (a) 30 (b) 31 (c) 29 (d) 28
  19. 19.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 38 (b) 6 (c) 17 (d) 5
  20. 20.What is the average of all the whole numbers from 34 to 64? (a) 15 (b) 50 (c) 30 (d) 49
  21. 21.What is the average of all the whole numbers from 46 to 76? (a) 15 (b) 62 (c) 30 (d) 61
  22. 22.What is the average of all the whole numbers from 5 to 13? (a) 10 (b) 8 (c) 9 (d) 4
  23. 23.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 14 (b) 44 (c) 21 (d) 13
  24. 24.What is the average of all the whole numbers from 55 to 69? (a) 14 (b) 62 (c) 7 (d) 63
  25. 25.What is the average of all the whole numbers from 35 to 53? (a) 9 (b) 18 (c) 45 (d) 44
  26. 26.What is the average of all the whole numbers from 13 to 43? (a) 15 (b) 28 (c) 29 (d) 30
  27. 27.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 44 (c) 18 (d) 58
  28. 28.What is the average of 22, 24, 43 and 43? (a) 33 (b) 32 (c) 44 (d) 34
  29. 29.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 5 (b) 4 (c) 35 (d) 16
  30. 30.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 12 (b) 39 (c) 19 (d) 13
  31. 31.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 10 (b) 78 (c) 37 (d) 9
  32. 32.What is the average of all the whole numbers from 32 to 38? (a) 3 (b) 6 (c) 35 (d) 36
  33. 33.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 101 (b) 80 (c) 29 (d) 37
  34. 34.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 49 (b) 5 (c) 25 (d) 29
  35. 35.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 40 (c) 71 (d) 95
  36. 36.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 32 (c) 33 (d) 57
  37. 37.What is the average of 86, 75, 64, 84, 69 and 84? (a) 79 (b) 76 (c) 77 (d) 78
  38. 38.What is the average of all the whole numbers from 52 to 66? (a) 60 (b) 59 (c) 14 (d) 7
  39. 39.What is the average of 71, 74, 75 and 84? (a) 78 (b) 75 (c) 76 (d) 77
  40. 40.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) 14 (d) 35

Answer key

  1. 50
  2. 34
  3. 68
  4. 75
  5. 20
  6. 60
  7. 59
  8. 71
  9. 67
  10. 29
  11. 85
  12. 24
  13. 26
  14. 48
  15. 42
  16. 64
  17. 52
  18. 29
  19. 5
  20. 49
  21. 61
  22. 9
  23. 13
  24. 62
  25. 44
  26. 28
  27. 58
  28. 33
  29. 4
  30. 12
  31. 9
  32. 35
  33. 101
  34. 29
  35. 95
  36. 57
  37. 77
  38. 59
  39. 76
  40. 34

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