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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 195 · 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 14 to 44? (a) 15 (b) 29 (c) 28 (d) 30
  2. 2.What is the average of all the whole numbers from 19 to 27? (a) 8 (b) 24 (c) 23 (d) 4
  3. 3.What is the average of 29, 37, 19 and 43? (a) 34 (b) 33 (c) 32 (d) 31
  4. 4.What is the average of 38, 49, 40, 19 and 24? (a) 33 (b) 36 (c) 35 (d) 34
  5. 5.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 80 (b) 60 (c) 68 (d) 132
  6. 6.What is the average of 24, 38, 23, 35, 41 and 43? (a) 36 (b) 35 (c) 33 (d) 34
  7. 7.What is the average of 93, 66, 89, 81 and 61? (a) 78 (b) 79 (c) 77 (d) 80
  8. 8.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 20 (b) 64 (c) 76 (d) 60
  9. 9.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 29 (b) 20 (c) 27 (d) 45
  10. 10.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) 82 (b) 42 (c) 14 (d) 54
  11. 11.What is the average of 12, 15, 32, 26, 24 and 35? (a) 24 (b) 26 (c) 23 (d) 25
  12. 12.What is the average of 29, 31, 32, 10 and 3? (a) 21 (b) 22 (c) 23 (d) 20
  13. 13.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 33 (b) 47 (c) 32 (d) 97
  14. 14.What is the average of 62, 50, 53, 37, 63 and 41? (a) 50 (b) 51 (c) 53 (d) 52
  15. 15.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 68 (b) 48 (c) 30 (d) 43
  16. 16.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 48? (a) 30 (b) 48 (c) 53 (d) 73
  17. 17.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 30 (b) 61 (c) 85 (d) 58
  18. 18.What is the average of 50, 47, 28 and 19? (a) 37 (b) 48 (c) 36 (d) 35
  19. 19.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 40 (b) 61 (c) 37 (d) 29
  20. 20.What is the average of 27, 12, 15, 36, 13 and 53? (a) 28 (b) 27 (c) 25 (d) 26
  21. 21.What is the average of 85, 83, 63, 56 and 63? (a) 70 (b) 71 (c) 72 (d) 69
  22. 22.What is the average of 64, 50, 53, 60 and 83? (a) 64 (b) 63 (c) 61 (d) 62
  23. 23.What is the average of all the whole numbers from 18 to 40? (a) 11 (b) 30 (c) 29 (d) 22
  24. 24.What is the average of all the whole numbers from 43 to 63? (a) 53 (b) 54 (c) 10 (d) 20
  25. 25.What is the average of 24, 21, 40 and 59? (a) 37 (b) 35 (c) 36 (d) 48
  26. 26.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 17 (b) 25 (c) 11 (d) 31
  27. 27.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 15 (b) 14 (c) 20 (d) 42
  28. 28.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 54 (b) 12 (c) 60 (d) 51
  29. 29.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 22 (b) 19 (c) 37 (d) 4
  30. 30.What is the average of all the whole numbers from 57 to 77? (a) 10 (b) 67 (c) 20 (d) 68
  31. 31.What is the average of 57, 56, 42 and 61? (a) 53 (b) 55 (c) 72 (d) 54
  32. 32.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 67? (a) 74 (b) 35 (c) 95 (d) 67
  33. 33.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 18 (c) 30 (d) 42
  34. 34.What is the average of 50, 47, 37, 25 and 21? (a) 37 (b) 36 (c) 35 (d) 45
  35. 35.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 81 (b) 39 (c) 49 (d) 46
  36. 36.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 11 (b) 10 (c) 42 (d) 20
  37. 37.What is the average of 49, 48, 56 and 63? (a) 54 (b) 53 (c) 72 (d) 55
  38. 38.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 20 (b) 36 (c) 32 (d) 48
  39. 39.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 49 (b) 40 (c) 41 (d) 101
  40. 40.What is the average of 75, 69, 77, 76 and 38? (a) 66 (b) 69 (c) 68 (d) 67

Answer key

  1. 29
  2. 23
  3. 32
  4. 34
  5. 132
  6. 34
  7. 78
  8. 76
  9. 45
  10. 54
  11. 24
  12. 21
  13. 32
  14. 51
  15. 68
  16. 73
  17. 85
  18. 36
  19. 61
  20. 26
  21. 70
  22. 62
  23. 29
  24. 53
  25. 36
  26. 31
  27. 14
  28. 60
  29. 22
  30. 67
  31. 54
  32. 95
  33. 42
  34. 36
  35. 81
  36. 10
  37. 54
  38. 48
  39. 40
  40. 67

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