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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 171 · 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 29 to 45? (a) 16 (b) 38 (c) 37 (d) 8
  2. 2.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 65 (b) 95 (c) 40 (d) 60
  3. 3.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 40 (b) 25 (c) 45 (d) 60
  4. 4.What is the average of all the whole numbers from 53 to 63? (a) 58 (b) 10 (c) 5 (d) 59
  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 40? (a) 42 (b) 40 (c) 12 (d) 50
  6. 6.What is the average of all the whole numbers from 14 to 40? (a) 26 (b) 13 (c) 27 (d) 28
  7. 7.What is the average of all the whole numbers from 50 to 66? (a) 16 (b) 58 (c) 59 (d) 8
  8. 8.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 38 (b) 20 (c) 33 (d) 48
  9. 9.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 83 (b) 48 (c) 40 (d) 91
  10. 10.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 13 (b) 24 (c) 12 (d) 51
  11. 11.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 24 (b) 5 (c) 39 (d) 20
  12. 12.What is the average of all the whole numbers from 24 to 38? (a) 32 (b) 7 (c) 31 (d) 14
  13. 13.What is the average of all the whole numbers from 21 to 55? (a) 17 (b) 38 (c) 34 (d) 39
  14. 14.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 21 (b) 24 (c) 38 (d) 41
  15. 15.What is the average of 60, 38, 68, 57 and 42? (a) 53 (b) 52 (c) 55 (d) 54
  16. 16.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 24? (a) 15 (b) 24 (c) 27 (d) 36
  17. 17.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 47 (c) 32 (d) 21
  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 28? (a) 68 (b) 33 (c) 28 (d) 45
  19. 19.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 31 (b) 66 (c) 20 (d) 19
  20. 20.What is the average of 44, 48, 44, 52 and 2? (a) 37 (b) 39 (c) 38 (d) 40
  21. 21.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 50 (b) 54 (c) 94 (d) 49
  22. 22.What is the average of 29, 49, 23, 23, 47 and 51? (a) 37 (b) 38 (c) 39 (d) 36
  23. 23.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 36 (c) 67 (d) 95
  24. 24.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 67 (b) 27 (c) 33 (d) 26
  25. 25.What is the average of 58, 59, 43, 52, 53 and 41? (a) 50 (b) 51 (c) 52 (d) 53
  26. 26.What is the average of all the whole numbers from 34 to 62? (a) 28 (b) 49 (c) 48 (d) 14
  27. 27.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 37 (b) 61 (c) 70 (d) 28
  28. 28.What is the average of 52, 38, 34 and 40? (a) 41 (b) 43 (c) 42 (d) 40
  29. 29.What is the average of 41, 47, 41 and 75? (a) 51 (b) 52 (c) 68 (d) 50
  30. 30.What is the average of all the whole numbers from 9 to 47? (a) 38 (b) 29 (c) 19 (d) 28
  31. 31.What is the average of all the whole numbers from 41 to 67? (a) 13 (b) 26 (c) 54 (d) 55
  32. 32.What is the average of all the whole numbers from 33 to 45? (a) 40 (b) 39 (c) 12 (d) 6
  33. 33.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 5 (b) 22 (c) 43 (d) 26
  34. 34.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 20 (b) 9 (c) 8 (d) 44
  35. 35.What is the average of 24, 21, 38, 49, 35 and 37? (a) 34 (b) 33 (c) 36 (d) 35
  36. 36.What is the average of all the whole numbers from 36 to 58? (a) 22 (b) 48 (c) 47 (d) 11
  37. 37.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 22 (b) 15 (c) 17 (d) 10
  38. 38.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 53 (b) 37 (c) 28 (d) 12
  39. 39.What is the average of 67, 62, 64, 88 and 94? (a) 74 (b) 76 (c) 75 (d) 77
  40. 40.What is the average of 27, 44, 27 and 26? (a) 33 (b) 32 (c) 31 (d) 30

Answer key

  1. 37
  2. 95
  3. 60
  4. 58
  5. 50
  6. 27
  7. 58
  8. 48
  9. 83
  10. 12
  11. 24
  12. 31
  13. 38
  14. 41
  15. 53
  16. 36
  17. 47
  18. 68
  19. 19
  20. 38
  21. 94
  22. 37
  23. 95
  24. 26
  25. 51
  26. 48
  27. 61
  28. 41
  29. 51
  30. 28
  31. 54
  32. 39
  33. 26
  34. 8
  35. 34
  36. 47
  37. 22
  38. 37
  39. 75
  40. 31

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