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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 438 · 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 29 to 47? (a) 38 (b) 18 (c) 39 (d) 9
  2. 2.What is the average of all the whole numbers from 25 to 53? (a) 28 (b) 40 (c) 39 (d) 14
  3. 3.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 67 (c) 28 (d) 47
  4. 4.What is the average of all the whole numbers from 24 to 46? (a) 11 (b) 36 (c) 35 (d) 22
  5. 5.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 42 (b) 43 (c) 102 (d) 50
  6. 6.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 20 (b) 41 (c) 38 (d) 23
  7. 7.What is the average of 36, 39, 24 and 29? (a) 33 (b) 32 (c) 34 (d) 31
  8. 8.What is the average of 76, 79, 58, 57, 60 and 102? (a) 72 (b) 73 (c) 74 (d) 71
  9. 9.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 4 (b) 51 (c) 26 (d) 29
  10. 10.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 49 (b) 34 (c) 41 (d) 76
  11. 11.What is the average of 26, 36, 46, 26 and 46? (a) 35 (b) 36 (c) 45 (d) 37
  12. 12.What is the average of all the whole numbers from 42 to 52? (a) 10 (b) 48 (c) 5 (d) 47
  13. 13.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 20 (b) 33 (c) 30 (d) 17
  14. 14.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 82 (b) 56 (c) 42 (d) 16
  15. 15.What is the average of all the whole numbers from 33 to 67? (a) 34 (b) 17 (c) 51 (d) 50
  16. 16.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 46 (b) 40 (c) 8 (d) 78
  17. 17.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 25 (b) 49 (c) 46 (d) 28
  18. 18.What is the average of 65, 52, 64, 61, 40 and 30? (a) 52 (b) 54 (c) 51 (d) 53
  19. 19.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 56 (c) 24 (d) 35
  20. 20.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 47 (b) 14 (c) 68 (d) 35
  21. 21.What is the average of 70, 73, 63, 85 and 99? (a) 77 (b) 79 (c) 80 (d) 78
  22. 22.What is the average of 66, 71, 64, 58, 72 and 35? (a) 60 (b) 61 (c) 62 (d) 63
  23. 23.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 80 (b) 52 (c) 44 (d) 116
  24. 24.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 48 (c) 90 (d) 58
  25. 25.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 24? (a) 26 (b) 24 (c) 38 (d) 16
  26. 26.What is the average of all the whole numbers from 13 to 31? (a) 22 (b) 18 (c) 23 (d) 9
  27. 27.What is the average of all the whole numbers from 11 to 35? (a) 12 (b) 23 (c) 22 (d) 24
  28. 28.What is the average of all the whole numbers from 17 to 39? (a) 11 (b) 28 (c) 22 (d) 29
  29. 29.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 15 (b) 35 (c) 19 (d) 31
  30. 30.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 59 (b) 56 (c) 21 (d) 74
  31. 31.What is the average of 60, 62, 38 and 28? (a) 49 (b) 46 (c) 48 (d) 47
  32. 32.What is the average of all the whole numbers from 9 to 27? (a) 17 (b) 18 (c) 19 (d) 9
  33. 33.What is the average of 78, 66, 63, 88, 60 and 95? (a) 74 (b) 76 (c) 75 (d) 90
  34. 34.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 28? (a) 28 (b) 33 (c) 25 (d) 48
  35. 35.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 16 (b) 15 (c) 74 (d) 35
  36. 36.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 32 (b) 33 (c) 78 (d) 38
  37. 37.What is the average of 48, 52, 26, 43 and 26? (a) 40 (b) 39 (c) 38 (d) 41
  38. 38.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 16 (b) 65 (c) 15 (d) 30
  39. 39.What is the average of 65, 77, 58 and 56? (a) 66 (b) 63 (c) 65 (d) 64
  40. 40.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 28 (b) 69 (c) 62 (d) 83

Answer key

  1. 38
  2. 39
  3. 67
  4. 35
  5. 42
  6. 38
  7. 32
  8. 72
  9. 29
  10. 76
  11. 36
  12. 47
  13. 33
  14. 56
  15. 50
  16. 46
  17. 49
  18. 52
  19. 56
  20. 47
  21. 78
  22. 61
  23. 116
  24. 90
  25. 38
  26. 22
  27. 23
  28. 28
  29. 31
  30. 74
  31. 47
  32. 18
  33. 75
  34. 48
  35. 15
  36. 32
  37. 39
  38. 15
  39. 64
  40. 83

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