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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 399 · 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 14 to 28? (a) 14 (b) 21 (c) 22 (d) 7
  2. 2.What is the average of 61, 77, 73, 67 and 82? (a) 73 (b) 72 (c) 71 (d) 90
  3. 3.What is the average of 27, 11, 9, 36 and 32? (a) 23 (b) 25 (c) 22 (d) 24
  4. 4.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 38 (b) 26 (c) 80 (d) 27
  5. 5.What is the average of all the whole numbers from 23 to 29? (a) 27 (b) 6 (c) 3 (d) 26
  6. 6.What is the average of 74, 61, 73, 73 and 94? (a) 77 (b) 76 (c) 74 (d) 75
  7. 7.What is the average of all the whole numbers from 37 to 53? (a) 46 (b) 8 (c) 45 (d) 16
  8. 8.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 28 (b) 56 (c) 63 (d) 77
  9. 9.What is the average of all the whole numbers from 28 to 52? (a) 24 (b) 12 (c) 41 (d) 40
  10. 10.What is the average of 19, 16, 40, 31 and 19? (a) 25 (b) 26 (c) 24 (d) 27
  11. 11.What is the average of 30, 21, 44, 21, 24 and 46? (a) 30 (b) 31 (c) 32 (d) 33
  12. 12.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 35 (b) 31 (c) 38 (d) 59
  13. 13.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 38 (c) 28 (d) 58
  14. 14.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 12 (b) 39 (c) 76 (d) 49
  15. 15.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 8 (c) 46 (d) 42
  16. 16.What is the average of all the whole numbers from 7 to 13? (a) 3 (b) 10 (c) 11 (d) 6
  17. 17.What is the average of 24, 35, 35, 41, 41 and 4? (a) 29 (b) 30 (c) 31 (d) 36
  18. 18.What is the average of 15, 12, 30 and 31? (a) 22 (b) 21 (c) 24 (d) 23
  19. 19.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 28 (b) 16 (c) 29 (d) 15
  20. 20.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 29? (a) 40 (b) 65 (c) 29 (d) 33
  21. 21.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 20 (c) 49 (d) 59
  22. 22.What is the average of 33, 40, 26, 35, 36 and 52? (a) 37 (b) 39 (c) 36 (d) 38
  23. 23.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) 22 (c) 28 (d) 24
  24. 24.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 83 (b) 65 (c) 30 (d) 59
  25. 25.What is the average of all the whole numbers from 37 to 69? (a) 16 (b) 32 (c) 54 (d) 53
  26. 26.What is the average of 49, 65, 56, 45 and 55? (a) 55 (b) 53 (c) 54 (d) 56
  27. 27.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 17 (b) 16 (c) 59 (d) 28
  28. 28.What is the average of all the whole numbers from 25 to 39? (a) 33 (b) 14 (c) 32 (d) 7
  29. 29.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 17 (b) 24 (c) 50 (d) 16
  30. 30.What is the average of 64, 58, 59, 68 and 41? (a) 59 (b) 60 (c) 57 (d) 58
  31. 31.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 37 (c) 61 (d) 30
  32. 32.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 12 (b) 37 (c) 52 (d) 27
  33. 33.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 73 (b) 72 (c) 48 (d) 40
  34. 34.What is the average of all the whole numbers from 22 to 30? (a) 8 (b) 4 (c) 26 (d) 27
  35. 35.What is the average of all the whole numbers from 19 to 41? (a) 31 (b) 22 (c) 11 (d) 30
  36. 36.What is the average of 30, 39, 31, 40 and 35? (a) 34 (b) 36 (c) 37 (d) 35
  37. 37.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 28 (b) 10 (c) 54 (d) 36
  38. 38.What is the average of all the whole numbers from 43 to 77? (a) 61 (b) 60 (c) 17 (d) 34
  39. 39.What is the average of all the whole numbers from 19 to 57? (a) 38 (b) 37 (c) 19 (d) 39
  40. 40.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 77 (c) 54 (d) 35

Answer key

  1. 21
  2. 72
  3. 23
  4. 26
  5. 26
  6. 75
  7. 45
  8. 77
  9. 40
  10. 25
  11. 31
  12. 59
  13. 58
  14. 49
  15. 46
  16. 10
  17. 30
  18. 22
  19. 28
  20. 65
  21. 59
  22. 37
  23. 28
  24. 83
  25. 53
  26. 54
  27. 16
  28. 32
  29. 16
  30. 58
  31. 61
  32. 37
  33. 72
  34. 26
  35. 30
  36. 35
  37. 36
  38. 60
  39. 38
  40. 77

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