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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 475 · 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 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 47 (b) 66 (c) 16 (d) 35
  2. 2.What is the average of 70, 75, 71, 91, 80 and 81? (a) 80 (b) 79 (c) 77 (d) 78
  3. 3.What is the average of all the whole numbers from 15 to 27? (a) 12 (b) 21 (c) 6 (d) 22
  4. 4.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 48 (b) 35 (c) 25 (d) 12
  5. 5.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 64? (a) 72 (b) 120 (c) 64 (d) 121
  6. 6.What is the average of all the whole numbers from 18 to 30? (a) 6 (b) 24 (c) 12 (d) 25
  7. 7.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 8 (b) 50 (c) 56 (d) 52
  8. 8.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 32 (b) 62 (c) 78 (d) 54
  9. 9.What is the average of all the whole numbers from 18 to 58? (a) 40 (b) 38 (c) 20 (d) 39
  10. 10.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 54 (c) 45 (d) 15
  11. 11.What is the average of all the whole numbers from 26 to 64? (a) 46 (b) 38 (c) 19 (d) 45
  12. 12.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 72 (b) 48 (c) 30 (d) 54
  13. 13.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 63 (b) 87 (c) 60 (d) 30
  14. 14.What is the average of all the whole numbers from 9 to 23? (a) 17 (b) 14 (c) 7 (d) 16
  15. 15.What is the average of 37, 25, 46, 34 and 48? (a) 40 (b) 38 (c) 39 (d) 37
  16. 16.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 25 (b) 18 (c) 13 (d) 6
  17. 17.What is the average of all the whole numbers from 30 to 56? (a) 13 (b) 43 (c) 44 (d) 26
  18. 18.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 11 (b) 14 (c) 10 (d) 29
  19. 19.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 59 (b) 50 (c) 12 (d) 53
  20. 20.What is the average of 55, 72, 56 and 93? (a) 70 (b) 69 (c) 92 (d) 68
  21. 21.What is the average of 41, 40, 40, 39 and 5? (a) 35 (b) 32 (c) 34 (d) 33
  22. 22.What is the average of all the whole numbers from 39 to 51? (a) 12 (b) 45 (c) 46 (d) 6
  23. 23.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 104 (b) 50 (c) 26 (d) 27
  24. 24.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 30 (b) 29 (c) 35 (d) 53
  25. 25.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 30 (c) 45 (d) 69
  26. 26.What is the average of 13, 38, 29 and 28? (a) 27 (b) 28 (c) 36 (d) 26
  27. 27.What is the average of 28, 23, 19, 20, 27 and 75? (a) 32 (b) 33 (c) 34 (d) 31
  28. 28.What is the average of all the whole numbers from 10 to 18? (a) 8 (b) 15 (c) 14 (d) 4
  29. 29.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 47 (b) 42 (c) 20 (d) 57
  30. 30.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 27 (b) 14 (c) 20 (d) 7
  31. 31.What is the average of 45, 60, 52 and 39? (a) 48 (b) 50 (c) 51 (d) 49
  32. 32.What is the average of 50, 61, 52, 48 and 89? (a) 75 (b) 60 (c) 59 (d) 61
  33. 33.What is the average of 38, 42, 34, 37 and 39? (a) 37 (b) 38 (c) 39 (d) 40
  34. 34.What is the average of all the whole numbers from 48 to 88? (a) 69 (b) 20 (c) 68 (d) 40
  35. 35.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 92 (b) 37 (c) 38 (d) 45
  36. 36.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 32 (b) 5 (c) 63 (d) 36
  37. 37.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 47 (b) 56 (c) 26 (d) 35
  38. 38.What is the average of 55, 54, 51, 56 and 44? (a) 51 (b) 65 (c) 52 (d) 53
  39. 39.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 15 (b) 12 (c) 21 (d) 24
  40. 40.What is the average of all the whole numbers from 36 to 42? (a) 6 (b) 39 (c) 40 (d) 3

Answer key

  1. 47
  2. 78
  3. 21
  4. 35
  5. 120
  6. 24
  7. 56
  8. 78
  9. 38
  10. 54
  11. 45
  12. 72
  13. 87
  14. 16
  15. 38
  16. 18
  17. 43
  18. 10
  19. 59
  20. 69
  21. 33
  22. 45
  23. 26
  24. 53
  25. 69
  26. 27
  27. 32
  28. 14
  29. 57
  30. 20
  31. 49
  32. 60
  33. 38
  34. 68
  35. 37
  36. 36
  37. 56
  38. 52
  39. 24
  40. 39

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