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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 215 · 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 36, 47, 23, 46, 34 and 42? (a) 39 (b) 40 (c) 38 (d) 37
  2. 2.What is the average of all the whole numbers from 45 to 57? (a) 51 (b) 52 (c) 6 (d) 12
  3. 3.What is the average of 17, 44, 24, 24 and 46? (a) 31 (b) 33 (c) 32 (d) 30
  4. 4.What is the average of 68, 91, 83 and 74? (a) 81 (b) 79 (c) 80 (d) 78
  5. 5.What is the average of all the whole numbers from 37 to 57? (a) 48 (b) 20 (c) 47 (d) 10
  6. 6.What is the average of all the whole numbers from 44 to 54? (a) 49 (b) 10 (c) 5 (d) 50
  7. 7.What is the average of 29, 30, 41 and 16? (a) 28 (b) 31 (c) 30 (d) 29
  8. 8.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 63 (b) 57 (c) 24 (d) 75
  9. 9.What is the average of 16, 36, 31, 39 and 8? (a) 28 (b) 25 (c) 26 (d) 27
  10. 10.What is the average of 82, 60, 57, 73 and 78? (a) 72 (b) 69 (c) 70 (d) 71
  11. 11.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 47 (b) 33 (c) 96 (d) 34
  12. 12.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 18 (b) 33 (c) 63 (d) 48
  13. 13.What is the average of 48, 41, 40, 46 and 80? (a) 51 (b) 50 (c) 53 (d) 52
  14. 14.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 31 (b) 18 (c) 20 (d) 33
  15. 15.What is the average of 53, 61, 53 and 101? (a) 67 (b) 69 (c) 68 (d) 66
  16. 16.What is the average of 47, 51, 48, 40, 38 and 22? (a) 40 (b) 41 (c) 43 (d) 42
  17. 17.What is the average of all the whole numbers from 14 to 30? (a) 22 (b) 16 (c) 8 (d) 23
  18. 18.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 30 (b) 26 (c) 16 (d) 12
  19. 19.What is the average of all the whole numbers from 44 to 64? (a) 20 (b) 10 (c) 54 (d) 55
  20. 20.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 65 (c) 89 (d) 40
  21. 21.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 51 (b) 22 (c) 21 (d) 25
  22. 22.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 59 (c) 10 (d) 65
  23. 23.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 24? (a) 48 (b) 24 (c) 28 (d) 49
  24. 24.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 29 (b) 17 (c) 40 (d) 52
  25. 25.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 54 (b) 47 (c) 70 (d) 110
  26. 26.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 9 (b) 16 (c) 8 (d) 34
  27. 27.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 30 (b) 61 (c) 37 (d) 43
  28. 28.What is the average of 76, 80, 88 and 60? (a) 76 (b) 77 (c) 75 (d) 78
  29. 29.What is the average of 54, 36, 28, 34, 36 and 70? (a) 42 (b) 43 (c) 45 (d) 44
  30. 30.What is the average of 84, 57, 60, 65, 70 and 90? (a) 73 (b) 70 (c) 72 (d) 71
  31. 31.What is the average of all the whole numbers from 56 to 64? (a) 60 (b) 4 (c) 61 (d) 8
  32. 32.What is the average of all the whole numbers from 30 to 48? (a) 40 (b) 9 (c) 39 (d) 18
  33. 33.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 42 (b) 63 (c) 64 (d) 35
  34. 34.What is the average of 30, 33, 25, 26 and 56? (a) 35 (b) 33 (c) 36 (d) 34
  35. 35.What is the average of all the whole numbers from 21 to 39? (a) 31 (b) 9 (c) 18 (d) 30
  36. 36.What is the average of 60, 62, 46 and 60? (a) 76 (b) 56 (c) 58 (d) 57
  37. 37.What is the average of 21, 50, 21, 48 and 35? (a) 37 (b) 36 (c) 35 (d) 34
  38. 38.What is the average of all the whole numbers from 55 to 71? (a) 16 (b) 8 (c) 64 (d) 63
  39. 39.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 77 (b) 25 (c) 26 (d) 37
  40. 40.What is the average of all the whole numbers from 7 to 13? (a) 10 (b) 6 (c) 11 (d) 3

Answer key

  1. 38
  2. 51
  3. 31
  4. 79
  5. 47
  6. 49
  7. 29
  8. 75
  9. 26
  10. 70
  11. 33
  12. 48
  13. 51
  14. 33
  15. 67
  16. 41
  17. 22
  18. 26
  19. 54
  20. 89
  21. 21
  22. 65
  23. 48
  24. 52
  25. 110
  26. 8
  27. 61
  28. 76
  29. 43
  30. 71
  31. 60
  32. 39
  33. 63
  34. 34
  35. 30
  36. 57
  37. 35
  38. 63
  39. 25
  40. 10

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