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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 82 · 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.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 83 (b) 40 (c) 25 (d) 26
  2. 2.What is the average of 41, 24, 26, 20 and 54? (a) 34 (b) 32 (c) 33 (d) 35
  3. 3.What is the average of all the whole numbers from 11 to 23? (a) 17 (b) 12 (c) 6 (d) 18
  4. 4.What is the average of 62, 58, 81 and 67? (a) 68 (b) 66 (c) 69 (d) 67
  5. 5.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) 59 (b) 35 (c) 32 (d) 30
  6. 6.What is the average of 47, 21, 26, 29, 43 and 26? (a) 32 (b) 34 (c) 31 (d) 33
  7. 7.What is the average of 51, 56, 62, 50 and 31? (a) 51 (b) 49 (c) 50 (d) 52
  8. 8.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 8 (b) 36 (c) 70 (d) 42
  9. 9.What is the average of all the whole numbers from 34 to 44? (a) 40 (b) 39 (c) 10 (d) 5
  10. 10.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 34 (b) 31 (c) 27 (d) 55
  11. 11.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 31? (a) 95 (b) 31 (c) 39 (d) 72
  12. 12.What is the average of all the whole numbers from 18 to 28? (a) 24 (b) 5 (c) 23 (d) 10
  13. 13.What is the average of 53, 57, 45, 48 and 72? (a) 54 (b) 55 (c) 57 (d) 56
  14. 14.What is the average of all the whole numbers from 13 to 51? (a) 38 (b) 32 (c) 33 (d) 19
  15. 15.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 20 (b) 32 (c) 15 (d) 37
  16. 16.What is the average of 44, 60, 44, 55 and 92? (a) 59 (b) 58 (c) 60 (d) 61
  17. 17.What is the average of all the whole numbers from 38 to 52? (a) 45 (b) 7 (c) 46 (d) 14
  18. 18.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 5 (b) 69 (c) 39 (d) 35
  19. 19.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 25? (a) 46 (b) 45 (c) 30 (d) 25
  20. 20.What is the average of 84, 83, 64, 62 and 67? (a) 72 (b) 71 (c) 90 (d) 73
  21. 21.What is the average of all the whole numbers from 33 to 63? (a) 49 (b) 48 (c) 15 (d) 30
  22. 22.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 24 (b) 93 (c) 44 (d) 25
  23. 23.What is the average of 72, 84, 69 and 91? (a) 78 (b) 81 (c) 80 (d) 79
  24. 24.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 40 (c) 54 (d) 82
  25. 25.What is the average of 84, 91, 88 and 45? (a) 76 (b) 77 (c) 78 (d) 79
  26. 26.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 28? (a) 28 (b) 30 (c) 46 (d) 20
  27. 27.What is the average of 56, 44, 57 and 39? (a) 50 (b) 48 (c) 51 (d) 49
  28. 28.What is the average of 91, 82, 65 and 78? (a) 80 (b) 78 (c) 81 (d) 79
  29. 29.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 39 (b) 94 (c) 38 (d) 46
  30. 30.What is the average of 50, 56, 61, 44 and 69? (a) 70 (b) 57 (c) 55 (d) 56
  31. 31.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 14 (c) 48 (d) 38
  32. 32.What is the average of all the whole numbers from 25 to 47? (a) 36 (b) 37 (c) 11 (d) 22
  33. 33.What is the average of all the whole numbers from 50 to 80? (a) 66 (b) 15 (c) 30 (d) 65
  34. 34.What is the average of all the whole numbers from 48 to 84? (a) 18 (b) 67 (c) 36 (d) 66
  35. 35.What is the average of 17, 29, 18, 36 and 20? (a) 24 (b) 25 (c) 23 (d) 30
  36. 36.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 31 (b) 66 (c) 4 (d) 3
  37. 37.What is the average of all the whole numbers from 57 to 97? (a) 78 (b) 40 (c) 77 (d) 20
  38. 38.What is the average of all the whole numbers from 20 to 44? (a) 24 (b) 12 (c) 32 (d) 33
  39. 39.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 37 (b) 39 (c) 36 (d) 79
  40. 40.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 73 (b) 58 (c) 21 (d) 55

Answer key

  1. 25
  2. 33
  3. 17
  4. 67
  5. 59
  6. 32
  7. 50
  8. 42
  9. 39
  10. 55
  11. 95
  12. 23
  13. 55
  14. 32
  15. 32
  16. 59
  17. 45
  18. 39
  19. 45
  20. 72
  21. 48
  22. 24
  23. 79
  24. 82
  25. 77
  26. 46
  27. 49
  28. 79
  29. 38
  30. 56
  31. 48
  32. 36
  33. 65
  34. 66
  35. 24
  36. 3
  37. 77
  38. 32
  39. 36
  40. 73

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