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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 529 · 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 57, 42, 40 and 33? (a) 42 (b) 44 (c) 43 (d) 45
  2. 2.What is the average of all the whole numbers from 36 to 50? (a) 44 (b) 7 (c) 14 (d) 43
  3. 3.What is the average of all the whole numbers from 51 to 87? (a) 18 (b) 69 (c) 36 (d) 70
  4. 4.What is the average of all the whole numbers from 27 to 63? (a) 18 (b) 36 (c) 46 (d) 45
  5. 5.What is the average of 50, 54, 48 and 76? (a) 58 (b) 57 (c) 76 (d) 56
  6. 6.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 45? (a) 45 (b) 28 (c) 52 (d) 66
  7. 7.What is the average of 56, 74, 58 and 56? (a) 60 (b) 63 (c) 62 (d) 61
  8. 8.What is the average of 42, 37, 24, 46, 29 and 44? (a) 38 (b) 36 (c) 39 (d) 37
  9. 9.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 70 (b) 41 (c) 104 (d) 48
  10. 10.What is the average of 87, 77, 71, 72 and 68? (a) 76 (b) 75 (c) 74 (d) 77
  11. 11.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 17 (b) 43 (c) 16 (d) 21
  12. 12.What is the average of all the whole numbers from 35 to 43? (a) 8 (b) 39 (c) 4 (d) 40
  13. 13.What is the average of 72, 58, 73, 59, 46 and 46? (a) 60 (b) 59 (c) 58 (d) 61
  14. 14.What is the average of all the whole numbers from 18 to 40? (a) 22 (b) 11 (c) 30 (d) 29
  15. 15.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) 10 (b) 36 (c) 54 (d) 28
  16. 16.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 42? (a) 42 (b) 49 (c) 63 (d) 98
  17. 17.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) 17 (b) 30 (c) 20 (d) 33
  18. 18.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 59 (b) 95 (c) 53 (d) 48
  19. 19.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 14 (b) 54 (c) 42 (d) 82
  20. 20.What is the average of 75, 75, 78, 69 and 103? (a) 79 (b) 100 (c) 81 (d) 80
  21. 21.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 33? (a) 18 (b) 49 (c) 35 (d) 33
  22. 22.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 47 (c) 12 (d) 55
  23. 23.What is the average of 37, 11, 15, 16 and 41? (a) 30 (b) 23 (c) 25 (d) 24
  24. 24.What is the average of all the whole numbers from 37 to 43? (a) 41 (b) 6 (c) 40 (d) 3
  25. 25.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 55 (c) 35 (d) 56
  26. 26.What is the average of 77, 68, 69, 50, 52 and 62? (a) 62 (b) 64 (c) 65 (d) 63
  27. 27.What is the average of all the whole numbers from 40 to 46? (a) 43 (b) 3 (c) 6 (d) 44
  28. 28.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 33 (b) 54 (c) 75 (d) 27
  29. 29.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 70 (b) 117 (c) 54 (d) 61
  30. 30.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 46 (b) 89 (c) 64 (d) 21
  31. 31.What is the average of all the whole numbers from 17 to 37? (a) 20 (b) 28 (c) 27 (d) 10
  32. 32.What is the average of all the whole numbers from 5 to 43? (a) 25 (b) 24 (c) 19 (d) 38
  33. 33.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 20 (b) 88 (c) 62 (d) 46
  34. 34.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 54 (b) 62 (c) 68 (d) 110
  35. 35.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 79 (b) 20 (c) 61 (d) 63
  36. 36.What is the average of 78, 81, 56, 70 and 45? (a) 68 (b) 67 (c) 66 (d) 65
  37. 37.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) 58 (c) 48 (d) 90
  38. 38.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 8 (b) 11 (c) 9 (d) 23
  39. 39.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 10 (b) 55 (c) 47 (d) 92
  40. 40.What is the average of 37, 54, 57, 65, 58 and 35? (a) 51 (b) 52 (c) 53 (d) 50

Answer key

  1. 43
  2. 43
  3. 69
  4. 45
  5. 57
  6. 66
  7. 61
  8. 37
  9. 104
  10. 75
  11. 16
  12. 39
  13. 59
  14. 29
  15. 36
  16. 98
  17. 33
  18. 95
  19. 54
  20. 80
  21. 49
  22. 55
  23. 24
  24. 40
  25. 55
  26. 63
  27. 43
  28. 75
  29. 117
  30. 64
  31. 27
  32. 24
  33. 62
  34. 110
  35. 79
  36. 66
  37. 90
  38. 8
  39. 55
  40. 51

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