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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 600 · 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 34, 45, 18, 19, 36 and 28? (a) 30 (b) 36 (c) 31 (d) 29
  2. 2.What is the average of 67, 54, 63, 40 and 41? (a) 55 (b) 54 (c) 52 (d) 53
  3. 3.What is the average of 63, 75, 67 and 35? (a) 80 (b) 61 (c) 60 (d) 59
  4. 4.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 70 (b) 41 (c) 48 (d) 104
  5. 5.What is the average of all the whole numbers from 50 to 58? (a) 55 (b) 8 (c) 54 (d) 4
  6. 6.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 29 (c) 20 (d) 45
  7. 7.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 34 (b) 31 (c) 69 (d) 30
  8. 8.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 32 (c) 38 (d) 10
  9. 9.What is the average of 17, 22, 11, 12, 18 and 64? (a) 25 (b) 23 (c) 26 (d) 24
  10. 10.What is the average of all the whole numbers from 31 to 53? (a) 22 (b) 43 (c) 11 (d) 42
  11. 11.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 12 (b) 28 (c) 20 (d) 29
  12. 12.What is the average of all the whole numbers from 58 to 90? (a) 75 (b) 16 (c) 74 (d) 32
  13. 13.What is the average of 33, 46, 28, 22 and 51? (a) 45 (b) 37 (c) 35 (d) 36
  14. 14.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 50 (b) 101 (c) 45 (d) 46
  15. 15.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 25 (b) 35 (c) 72 (d) 26
  16. 16.What is the average of all the whole numbers from 39 to 69? (a) 15 (b) 30 (c) 55 (d) 54
  17. 17.What is the average of all the whole numbers from 9 to 29? (a) 18 (b) 19 (c) 20 (d) 10
  18. 18.What is the average of 76, 73, 56, 55, 55 and 87? (a) 66 (b) 69 (c) 67 (d) 68
  19. 19.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 29 (b) 5 (c) 19 (d) 15
  20. 20.What is the average of all the whole numbers from 30 to 56? (a) 13 (b) 44 (c) 26 (d) 43
  21. 21.What is the average of 35, 21, 20, 14 and 45? (a) 29 (b) 28 (c) 27 (d) 26
  22. 22.What is the average of 50, 58, 72 and 68? (a) 62 (b) 63 (c) 64 (d) 61
  23. 23.What is the average of all the whole numbers from 22 to 40? (a) 18 (b) 9 (c) 32 (d) 31
  24. 24.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 39 (c) 37 (d) 8
  25. 25.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 28? (a) 35 (b) 28 (c) 33 (d) 58
  26. 26.What is the average of 71, 71, 76 and 82? (a) 75 (b) 74 (c) 100 (d) 76
  27. 27.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 4 (b) 43 (c) 19 (d) 5
  28. 28.What is the average of 54, 75, 57, 76 and 73? (a) 66 (b) 67 (c) 69 (d) 68
  29. 29.What is the average of 40, 36, 62 and 66? (a) 52 (b) 50 (c) 51 (d) 68
  30. 30.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 37 (b) 87 (c) 36 (d) 43
  31. 31.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 20 (b) 63 (c) 34 (d) 49
  32. 32.What is the average of all the whole numbers from 35 to 75? (a) 56 (b) 55 (c) 40 (d) 20
  33. 33.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 46 (b) 22 (c) 9 (d) 8
  34. 34.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 19 (b) 45 (c) 18 (d) 22
  35. 35.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 45 (c) 30 (d) 65
  36. 36.What is the average of 15, 13, 24, 22 and 51? (a) 26 (b) 24 (c) 27 (d) 25
  37. 37.What is the average of all the whole numbers from 60 to 66? (a) 64 (b) 3 (c) 63 (d) 6
  38. 38.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 37 (b) 21 (c) 38 (d) 20
  39. 39.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 49 (b) 24 (c) 29 (d) 54
  40. 40.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 48 (b) 42 (c) 97 (d) 43

Answer key

  1. 30
  2. 53
  3. 60
  4. 104
  5. 54
  6. 45
  7. 30
  8. 38
  9. 24
  10. 42
  11. 28
  12. 74
  13. 36
  14. 45
  15. 25
  16. 54
  17. 19
  18. 67
  19. 19
  20. 43
  21. 27
  22. 62
  23. 31
  24. 43
  25. 58
  26. 75
  27. 4
  28. 67
  29. 51
  30. 36
  31. 49
  32. 55
  33. 8
  34. 18
  35. 65
  36. 25
  37. 63
  38. 37
  39. 49
  40. 42

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