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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 587 · 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 16 to 30? (a) 7 (b) 14 (c) 23 (d) 24
  2. 2.What is the average of all the whole numbers from 53 to 61? (a) 58 (b) 57 (c) 8 (d) 4
  3. 3.What is the average of 66, 63, 74, 75 and 97? (a) 77 (b) 75 (c) 74 (d) 76
  4. 4.What is the average of all the whole numbers from 59 to 75? (a) 67 (b) 68 (c) 8 (d) 16
  5. 5.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 40 (b) 17 (c) 52 (d) 29
  6. 6.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 26 (b) 49 (c) 15 (d) 38
  7. 7.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 39 (b) 48 (c) 75 (d) 12
  8. 8.What is the average of 92, 67, 80 and 73? (a) 78 (b) 104 (c) 77 (d) 79
  9. 9.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 18 (b) 10 (c) 19 (d) 17
  10. 10.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 77 (c) 25 (d) 62
  11. 11.What is the average of all the whole numbers from 40 to 70? (a) 15 (b) 30 (c) 56 (d) 55
  12. 12.What is the average of all the whole numbers from 6 to 12? (a) 6 (b) 10 (c) 9 (d) 3
  13. 13.What is the average of 63, 65, 83, 65 and 109? (a) 77 (b) 79 (c) 76 (d) 78
  14. 14.What is the average of 51, 53, 44 and 72? (a) 54 (b) 56 (c) 57 (d) 55
  15. 15.What is the average of 60, 70, 74 and 64? (a) 68 (b) 66 (c) 69 (d) 67
  16. 16.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 18 (b) 28 (c) 35 (d) 11
  17. 17.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 54 (b) 47 (c) 53 (d) 95
  18. 18.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 53 (b) 39 (c) 32 (d) 28
  19. 19.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 68 (b) 41 (c) 8 (d) 35
  20. 20.What is the average of all the whole numbers from 54 to 94? (a) 40 (b) 75 (c) 74 (d) 20
  21. 21.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 8 (b) 72 (c) 37 (d) 43
  22. 22.What is the average of all the whole numbers from 11 to 19? (a) 4 (b) 15 (c) 16 (d) 8
  23. 23.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 55 (b) 40 (c) 50 (d) 85
  24. 24.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 22 (b) 36 (c) 21 (d) 77
  25. 25.What is the average of 70, 78, 60, 67, 86 and 71? (a) 71 (b) 74 (c) 73 (d) 72
  26. 26.What is the average of all the whole numbers from 8 to 34? (a) 21 (b) 26 (c) 13 (d) 22
  27. 27.What is the average of 30, 24, 44, 28 and 44? (a) 33 (b) 36 (c) 35 (d) 34
  28. 28.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 23 (b) 14 (c) 30 (d) 39
  29. 29.What is the average of all the whole numbers from 6 to 46? (a) 20 (b) 27 (c) 40 (d) 26
  30. 30.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 36 (b) 27 (c) 33 (d) 57
  31. 31.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 39 (b) 37 (c) 18 (d) 53
  32. 32.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 27 (b) 28 (c) 14 (d) 15
  33. 33.What is the average of 20, 17, 35, 11, 16 and 57? (a) 25 (b) 26 (c) 28 (d) 27
  34. 34.What is the average of 32, 25, 41 and 14? (a) 28 (b) 30 (c) 29 (d) 27
  35. 35.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 42 (b) 56 (c) 91 (d) 63
  36. 36.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 6 (b) 89 (c) 45 (d) 50
  37. 37.What is the average of 18, 47, 40, 45 and 15? (a) 34 (b) 35 (c) 33 (d) 32
  38. 38.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 56 (b) 50 (c) 42 (d) 86
  39. 39.What is the average of 46, 40, 31 and 15? (a) 33 (b) 32 (c) 34 (d) 44
  40. 40.What is the average of 29, 45, 35, 55, 45 and 43? (a) 43 (b) 41 (c) 44 (d) 42

Answer key

  1. 23
  2. 57
  3. 75
  4. 67
  5. 52
  6. 38
  7. 48
  8. 78
  9. 18
  10. 77
  11. 55
  12. 9
  13. 77
  14. 55
  15. 67
  16. 35
  17. 95
  18. 53
  19. 41
  20. 74
  21. 43
  22. 15
  23. 85
  24. 21
  25. 72
  26. 21
  27. 34
  28. 39
  29. 26
  30. 57
  31. 53
  32. 27
  33. 26
  34. 28
  35. 91
  36. 50
  37. 33
  38. 86
  39. 33
  40. 42

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