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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 476 · 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.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 92 (b) 29 (c) 44 (d) 28
  2. 2.What is the average of 34, 8, 23, 31 and 4? (a) 25 (b) 19 (c) 20 (d) 21
  3. 3.What is the average of all the whole numbers from 51 to 77? (a) 64 (b) 13 (c) 26 (d) 65
  4. 4.What is the average of all the whole numbers from 9 to 27? (a) 17 (b) 19 (c) 9 (d) 18
  5. 5.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 35 (c) 31 (d) 56
  6. 6.What is the average of all the whole numbers from 58 to 82? (a) 12 (b) 70 (c) 71 (d) 24
  7. 7.What is the average of 50, 32, 48, 30 and 15? (a) 36 (b) 34 (c) 37 (d) 35
  8. 8.What is the average of 72, 82, 72 and 70? (a) 73 (b) 74 (c) 76 (d) 75
  9. 9.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 30 (b) 53 (c) 71 (d) 47
  10. 10.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 70 (b) 24 (c) 54 (d) 50
  11. 11.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 48 (b) 69 (c) 101 (d) 61
  12. 12.What is the average of 59, 49, 44, 50, 50 and 18? (a) 45 (b) 46 (c) 44 (d) 54
  13. 13.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 46 (b) 37 (c) 71 (d) 12
  14. 14.What is the average of all the whole numbers from 50 to 62? (a) 12 (b) 6 (c) 56 (d) 57
  15. 15.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 43 (b) 12 (c) 37 (d) 34
  16. 16.What is the average of all the whole numbers from 34 to 42? (a) 8 (b) 39 (c) 4 (d) 38
  17. 17.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 13 (b) 32 (c) 41 (d) 22
  18. 18.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 39 (c) 72 (d) 95
  19. 19.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 1 (b) 2 (c) 13 (d) 30
  20. 20.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 35 (b) 12 (c) 28 (d) 19
  21. 21.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 40 (c) 10 (d) 46
  22. 22.What is the average of all the whole numbers from 21 to 37? (a) 29 (b) 8 (c) 30 (d) 16
  23. 23.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 24 (b) 16 (c) 10 (d) 30
  24. 24.What is the average of all the whole numbers from 46 to 68? (a) 57 (b) 11 (c) 58 (d) 22
  25. 25.What is the average of all the whole numbers from 35 to 53? (a) 44 (b) 45 (c) 9 (d) 18
  26. 26.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 83 (b) 25 (c) 40 (d) 26
  27. 27.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 40 (c) 68 (d) 42
  28. 28.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 40 (b) 83 (c) 32 (d) 31
  29. 29.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 25 (b) 47 (c) 21 (d) 43
  30. 30.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 8 (b) 28 (c) 55 (d) 35
  31. 31.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 64 (b) 50 (c) 28 (d) 43
  32. 32.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 21 (b) 30 (c) 45 (d) 27
  33. 33.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 65? (a) 25 (b) 85 (c) 65 (d) 70
  34. 34.What is the average of all the whole numbers from 8 to 42? (a) 17 (b) 26 (c) 34 (d) 25
  35. 35.What is the average of 18, 17, 23, 39, 23 and 54? (a) 29 (b) 30 (c) 31 (d) 28
  36. 36.What is the average of 24, 50, 32, 27, 22 and 67? (a) 36 (b) 39 (c) 37 (d) 38
  37. 37.What is the average of all the whole numbers from 21 to 31? (a) 10 (b) 26 (c) 5 (d) 27
  38. 38.What is the average of 50, 49, 64, 46, 69 and 88? (a) 63 (b) 61 (c) 60 (d) 62
  39. 39.What is the average of 30, 38, 12, 32, 18 and 26? (a) 25 (b) 27 (c) 28 (d) 26
  40. 40.What is the average of 27, 27, 35, 43 and 33? (a) 33 (b) 32 (c) 35 (d) 34

Answer key

  1. 28
  2. 20
  3. 64
  4. 18
  5. 56
  6. 70
  7. 35
  8. 74
  9. 71
  10. 70
  11. 101
  12. 45
  13. 46
  14. 56
  15. 43
  16. 38
  17. 41
  18. 95
  19. 1
  20. 28
  21. 46
  22. 29
  23. 30
  24. 57
  25. 44
  26. 25
  27. 68
  28. 31
  29. 43
  30. 35
  31. 64
  32. 45
  33. 85
  34. 25
  35. 29
  36. 37
  37. 26
  38. 61
  39. 26
  40. 33

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