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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 720 · 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.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 60 (b) 36 (c) 42 (d) 30
  2. 2.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 16 (b) 61 (c) 73 (d) 59
  3. 3.What is the average of all the whole numbers from 42 to 66? (a) 12 (b) 55 (c) 54 (d) 24
  4. 4.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 66 (b) 70 (c) 122 (d) 59
  5. 5.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 58 (b) 28 (c) 16 (d) 17
  6. 6.What is the average of all the whole numbers from 12 to 28? (a) 16 (b) 21 (c) 20 (d) 8
  7. 7.What is the average of 48, 68, 51, 53, 70 and 88? (a) 64 (b) 62 (c) 63 (d) 65
  8. 8.What is the average of all the whole numbers from 26 to 40? (a) 34 (b) 33 (c) 14 (d) 7
  9. 9.What is the average of 37, 22, 24, 33, 14 and 8? (a) 23 (b) 22 (c) 24 (d) 25
  10. 10.What is the average of 63, 57, 67 and 37? (a) 55 (b) 58 (c) 56 (d) 57
  11. 11.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 52 (b) 82 (c) 42 (d) 46
  12. 12.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 67 (c) 36 (d) 39
  13. 13.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 53 (b) 45 (c) 64 (d) 101
  14. 14.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 27 (b) 49 (c) 40 (d) 62
  15. 15.What is the average of 68, 51, 68, 49 and 59? (a) 58 (b) 59 (c) 61 (d) 60
  16. 16.What is the average of 26, 28, 9 and 21? (a) 28 (b) 21 (c) 20 (d) 22
  17. 17.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 42 (c) 32 (d) 58
  18. 18.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 29 (b) 34 (c) 28 (d) 69
  19. 19.What is the average of all the whole numbers from 5 to 13? (a) 10 (b) 4 (c) 8 (d) 9
  20. 20.What is the average of 83, 70, 62, 62, 82 and 85? (a) 76 (b) 74 (c) 75 (d) 73
  21. 21.What is the average of 58, 69, 46, 63 and 34? (a) 53 (b) 56 (c) 54 (d) 55
  22. 22.What is the average of 12, 41, 14 and 37? (a) 25 (b) 28 (c) 27 (d) 26
  23. 23.What is the average of all the whole numbers from 33 to 73? (a) 20 (b) 40 (c) 53 (d) 54
  24. 24.What is the average of 68, 52, 60 and 60? (a) 60 (b) 61 (c) 80 (d) 59
  25. 25.What is the average of all the whole numbers from 47 to 83? (a) 66 (b) 65 (c) 36 (d) 18
  26. 26.What is the average of 38, 59, 58 and 57? (a) 54 (b) 55 (c) 53 (d) 52
  27. 27.What is the average of 71, 49, 45, 69 and 51? (a) 58 (b) 56 (c) 59 (d) 57
  28. 28.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 32 (b) 55 (c) 27 (d) 50
  29. 29.What is the average of all the whole numbers from 13 to 31? (a) 23 (b) 18 (c) 9 (d) 22
  30. 30.What is the average of all the whole numbers from 40 to 50? (a) 45 (b) 5 (c) 10 (d) 46
  31. 31.What is the average of all the whole numbers from 44 to 50? (a) 3 (b) 48 (c) 47 (d) 6
  32. 32.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 38 (b) 24 (c) 28 (d) 14
  33. 33.What is the average of all the whole numbers from 12 to 40? (a) 28 (b) 14 (c) 26 (d) 27
  34. 34.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 13 (b) 27 (c) 10 (d) 9
  35. 35.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 59 (c) 35 (d) 30
  36. 36.What is the average of all the whole numbers from 39 to 79? (a) 59 (b) 40 (c) 20 (d) 60
  37. 37.What is the average of all the whole numbers from 34 to 54? (a) 44 (b) 20 (c) 10 (d) 45
  38. 38.What is the average of all the whole numbers from 51 to 59? (a) 8 (b) 55 (c) 4 (d) 56
  39. 39.What is the average of 46, 47, 41, 60, 41 and 95? (a) 66 (b) 55 (c) 54 (d) 56
  40. 40.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 20 (b) 44 (c) 60 (d) 84

Answer key

  1. 60
  2. 73
  3. 54
  4. 122
  5. 16
  6. 20
  7. 63
  8. 33
  9. 23
  10. 56
  11. 82
  12. 67
  13. 101
  14. 62
  15. 59
  16. 21
  17. 58
  18. 28
  19. 9
  20. 74
  21. 54
  22. 26
  23. 53
  24. 60
  25. 65
  26. 53
  27. 57
  28. 55
  29. 22
  30. 45
  31. 47
  32. 38
  33. 26
  34. 9
  35. 59
  36. 59
  37. 44
  38. 55
  39. 55
  40. 60

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