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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 491 · 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 71, 90, 75, 92 and 57? (a) 77 (b) 78 (c) 79 (d) 76
  2. 2.What is the average of all the whole numbers from 56 to 66? (a) 62 (b) 10 (c) 61 (d) 5
  3. 3.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 4 (b) 17 (c) 27 (d) 14
  4. 4.What is the average of all the whole numbers from 10 to 20? (a) 15 (b) 5 (c) 16 (d) 10
  5. 5.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 28 (b) 53 (c) 21 (d) 46
  6. 6.What is the average of all the whole numbers from 55 to 65? (a) 5 (b) 10 (c) 61 (d) 60
  7. 7.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 32 (b) 16 (c) 44 (d) 60
  8. 8.What is the average of all the whole numbers from 6 to 36? (a) 15 (b) 30 (c) 22 (d) 21
  9. 9.What is the average of 76, 74, 91 and 67? (a) 76 (b) 79 (c) 78 (d) 77
  10. 10.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 21 (c) 57 (d) 72
  11. 11.What is the average of 60, 42, 59, 67, 43 and 59? (a) 66 (b) 54 (c) 56 (d) 55
  12. 12.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 17 (b) 32 (c) 16 (d) 68
  13. 13.What is the average of all the whole numbers from 21 to 61? (a) 20 (b) 42 (c) 40 (d) 41
  14. 14.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 56 (b) 66 (c) 106 (d) 58
  15. 15.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 68? (a) 32 (b) 76 (c) 92 (d) 68
  16. 16.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 22? (a) 8 (b) 28 (c) 24 (d) 22
  17. 17.What is the average of 62, 50, 62 and 38? (a) 54 (b) 52 (c) 55 (d) 53
  18. 18.What is the average of all the whole numbers from 29 to 67? (a) 38 (b) 49 (c) 48 (d) 19
  19. 19.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 46? (a) 46 (b) 49 (c) 64 (d) 21
  20. 20.What is the average of 59, 39, 52 and 26? (a) 43 (b) 45 (c) 46 (d) 44
  21. 21.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 38 (b) 41 (c) 39 (d) 83
  22. 22.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 58 (b) 16 (c) 44 (d) 30
  23. 23.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 44 (b) 20 (c) 60 (d) 42
  24. 24.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 53? (a) 60 (b) 74 (c) 28 (d) 53
  25. 25.What is the average of 50, 61, 47 and 30? (a) 46 (b) 49 (c) 47 (d) 48
  26. 26.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 66 (b) 60 (c) 90 (d) 36
  27. 27.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 44 (b) 85 (c) 59 (d) 18
  28. 28.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 24 (b) 47 (c) 65 (d) 44
  29. 29.What is the average of all the whole numbers from 6 to 46? (a) 40 (b) 26 (c) 20 (d) 27
  30. 30.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 32 (b) 29 (c) 56 (d) 30
  31. 31.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 12 (b) 34 (c) 18 (d) 28
  32. 32.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 61 (b) 47 (c) 40 (d) 28
  33. 33.What is the average of all the whole numbers from 31 to 67? (a) 36 (b) 50 (c) 18 (d) 49
  34. 34.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 41 (b) 61 (c) 30 (d) 36
  35. 35.What is the average of all the whole numbers from 24 to 30? (a) 3 (b) 28 (c) 6 (d) 27
  36. 36.What is the average of all the whole numbers from 27 to 37? (a) 5 (b) 33 (c) 32 (d) 10
  37. 37.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 11 (b) 26 (c) 20 (d) 17
  38. 38.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 69 (c) 59 (d) 12
  39. 39.What is the average of all the whole numbers from 15 to 53? (a) 35 (b) 38 (c) 34 (d) 19
  40. 40.What is the average of all the whole numbers from 10 to 46? (a) 36 (b) 18 (c) 28 (d) 29

Answer key

  1. 77
  2. 61
  3. 17
  4. 15
  5. 46
  6. 60
  7. 44
  8. 21
  9. 77
  10. 72
  11. 55
  12. 16
  13. 41
  14. 106
  15. 92
  16. 28
  17. 53
  18. 48
  19. 64
  20. 44
  21. 38
  22. 44
  23. 60
  24. 74
  25. 47
  26. 90
  27. 59
  28. 65
  29. 26
  30. 56
  31. 28
  32. 61
  33. 49
  34. 61
  35. 27
  36. 32
  37. 26
  38. 69
  39. 34
  40. 28

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