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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 38 · 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 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 45 (b) 36 (c) 39 (d) 12
  2. 2.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 29 (b) 11 (c) 10 (d) 14
  3. 3.What is the average of all the whole numbers from 48 to 56? (a) 52 (b) 8 (c) 53 (d) 4
  4. 4.What is the average of all the whole numbers from 26 to 40? (a) 14 (b) 34 (c) 7 (d) 33
  5. 5.What is the average of 34, 22, 46, 47 and 21? (a) 35 (b) 36 (c) 33 (d) 34
  6. 6.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 7 (b) 6 (c) 21 (d) 10
  7. 7.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 72 (b) 40 (c) 104 (d) 48
  8. 8.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 83 (b) 42 (c) 47 (d) 6
  9. 9.What is the average of all the whole numbers from 46 to 52? (a) 50 (b) 3 (c) 49 (d) 6
  10. 10.What is the average of 29, 33, 57 and 49? (a) 43 (b) 42 (c) 56 (d) 41
  11. 11.What is the average of 69, 64, 62 and 109? (a) 75 (b) 78 (c) 77 (d) 76
  12. 12.What is the average of 23, 19, 25 and 49? (a) 28 (b) 29 (c) 31 (d) 30
  13. 13.What is the average of 42, 13, 33 and 20? (a) 27 (b) 26 (c) 28 (d) 36
  14. 14.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 94 (c) 36 (d) 66
  15. 15.What is the average of all the whole numbers from 48 to 64? (a) 16 (b) 57 (c) 8 (d) 56
  16. 16.What is the average of all the whole numbers from 37 to 61? (a) 50 (b) 12 (c) 49 (d) 24
  17. 17.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 70 (b) 62 (c) 126 (d) 72
  18. 18.What is the average of 36, 56, 36 and 44? (a) 44 (b) 45 (c) 42 (d) 43
  19. 19.What is the average of 43, 64, 69 and 48? (a) 56 (b) 58 (c) 55 (d) 57
  20. 20.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 12 (b) 48 (c) 58 (d) 94
  21. 21.What is the average of 16, 23, 40, 36, 45 and 26? (a) 31 (b) 32 (c) 33 (d) 30
  22. 22.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 52 (c) 14 (d) 62
  23. 23.What is the average of 84, 71, 65, 70, 94 and 90? (a) 80 (b) 81 (c) 79 (d) 78
  24. 24.What is the average of 55, 47, 54 and 60? (a) 53 (b) 55 (c) 72 (d) 54
  25. 25.What is the average of 26, 24, 39, 45 and 51? (a) 37 (b) 38 (c) 36 (d) 39
  26. 26.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 94 (b) 20 (c) 65 (d) 49
  27. 27.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 48 (c) 69 (d) 35
  28. 28.What is the average of 30, 23, 12, 30 and 25? (a) 25 (b) 24 (c) 30 (d) 23
  29. 29.What is the average of all the whole numbers from 12 to 46? (a) 17 (b) 29 (c) 30 (d) 34
  30. 30.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 63 (b) 33 (c) 15 (d) 45
  31. 31.What is the average of 35, 17, 15, 18, 39 and 38? (a) 27 (b) 28 (c) 29 (d) 26
  32. 32.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 48 (b) 88 (c) 46 (d) 52
  33. 33.What is the average of 90, 62, 75, 86, 77 and 72? (a) 77 (b) 76 (c) 78 (d) 79
  34. 34.What is the average of 27, 14, 8 and 43? (a) 22 (b) 24 (c) 23 (d) 25
  35. 35.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 12 (c) 40 (d) 32
  36. 36.What is the average of 79, 82, 67, 63, 78 and 51? (a) 71 (b) 69 (c) 84 (d) 70
  37. 37.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 62 (b) 8 (c) 38 (d) 32
  38. 38.What is the average of all the whole numbers from 31 to 41? (a) 10 (b) 5 (c) 36 (d) 37
  39. 39.What is the average of 36, 40, 21, 31 and 52? (a) 45 (b) 37 (c) 35 (d) 36
  40. 40.What is the average of all the whole numbers from 28 to 40? (a) 6 (b) 35 (c) 34 (d) 12

Answer key

  1. 45
  2. 10
  3. 52
  4. 33
  5. 34
  6. 6
  7. 104
  8. 47
  9. 49
  10. 42
  11. 76
  12. 29
  13. 27
  14. 94
  15. 56
  16. 49
  17. 126
  18. 43
  19. 56
  20. 58
  21. 31
  22. 62
  23. 79
  24. 54
  25. 37
  26. 65
  27. 69
  28. 24
  29. 29
  30. 45
  31. 27
  32. 88
  33. 77
  34. 23
  35. 40
  36. 70
  37. 38
  38. 36
  39. 36
  40. 34

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