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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 423 · 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 40 to 48? (a) 45 (b) 44 (c) 4 (d) 8
  2. 2.What is the average of 34, 36, 31 and 59? (a) 40 (b) 41 (c) 42 (d) 39
  3. 3.What is the average of all the whole numbers from 47 to 53? (a) 3 (b) 51 (c) 6 (d) 50
  4. 4.What is the average of all the whole numbers from 43 to 73? (a) 58 (b) 59 (c) 15 (d) 30
  5. 5.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 41? (a) 44 (b) 56 (c) 18 (d) 41
  6. 6.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 16 (b) 10 (c) 33 (d) 9
  7. 7.What is the average of 66, 74, 54, 54, 64 and 42? (a) 58 (b) 61 (c) 60 (d) 59
  8. 8.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 6 (b) 53 (c) 48 (d) 95
  9. 9.What is the average of all the whole numbers from 33 to 53? (a) 43 (b) 20 (c) 44 (d) 10
  10. 10.What is the average of 66, 56, 63, 48, 61 and 48? (a) 56 (b) 57 (c) 58 (d) 59
  11. 11.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 16 (b) 57 (c) 27 (d) 15
  12. 12.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 10 (c) 45 (d) 39
  13. 13.What is the average of all the whole numbers from 51 to 63? (a) 12 (b) 6 (c) 58 (d) 57
  14. 14.What is the average of all the whole numbers from 20 to 28? (a) 8 (b) 4 (c) 25 (d) 24
  15. 15.What is the average of all the whole numbers from 38 to 52? (a) 7 (b) 14 (c) 45 (d) 46
  16. 16.What is the average of all the whole numbers from 10 to 42? (a) 26 (b) 16 (c) 27 (d) 32
  17. 17.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 19 (b) 16 (c) 34 (d) 31
  18. 18.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 37 (b) 14 (c) 49 (d) 72
  19. 19.What is the average of all the whole numbers from 9 to 33? (a) 21 (b) 24 (c) 12 (d) 22
  20. 20.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 49 (b) 5 (c) 6 (d) 23
  21. 21.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 68 (b) 47 (c) 28 (d) 54
  22. 22.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 30 (c) 52 (d) 51
  23. 23.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 24? (a) 12 (b) 24 (c) 33 (d) 27
  24. 24.What is the average of 76, 86, 75 and 67? (a) 75 (b) 76 (c) 77 (d) 78
  25. 25.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 12 (c) 11 (d) 21
  26. 26.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 42 (b) 89 (c) 44 (d) 41
  27. 27.What is the average of all the whole numbers from 54 to 94? (a) 75 (b) 40 (c) 20 (d) 74
  28. 28.What is the average of all the whole numbers from 46 to 78? (a) 62 (b) 16 (c) 32 (d) 63
  29. 29.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 40 (b) 28 (c) 51 (d) 63
  30. 30.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 59? (a) 101 (b) 66 (c) 49 (d) 59
  31. 31.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 4 (b) 35 (c) 63 (d) 32
  32. 32.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 12 (b) 50 (c) 36 (d) 26
  33. 33.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 50 (b) 104 (c) 35 (d) 34
  34. 34.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 22 (b) 56 (c) 27 (d) 21
  35. 35.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 80 (b) 55 (c) 47 (d) 119
  36. 36.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 31 (b) 32 (c) 27 (d) 55
  37. 37.What is the average of all the whole numbers from 32 to 60? (a) 47 (b) 14 (c) 46 (d) 28
  38. 38.What is the average of all the whole numbers from 29 to 63? (a) 46 (b) 47 (c) 34 (d) 17
  39. 39.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 70 (c) 46 (d) 32
  40. 40.What is the average of 51, 57, 47, 48 and 72? (a) 55 (b) 56 (c) 57 (d) 54

Answer key

  1. 44
  2. 40
  3. 50
  4. 58
  5. 56
  6. 9
  7. 59
  8. 53
  9. 43
  10. 57
  11. 15
  12. 45
  13. 57
  14. 24
  15. 45
  16. 26
  17. 31
  18. 49
  19. 21
  20. 5
  21. 68
  22. 51
  23. 33
  24. 76
  25. 21
  26. 41
  27. 74
  28. 62
  29. 63
  30. 101
  31. 35
  32. 36
  33. 34
  34. 21
  35. 119
  36. 55
  37. 46
  38. 46
  39. 70
  40. 55

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