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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 626 · 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 17 to 35? (a) 18 (b) 9 (c) 27 (d) 26
  2. 2.What is the average of 48, 50, 55 and 7? (a) 39 (b) 42 (c) 41 (d) 40
  3. 3.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 67 (b) 91 (c) 59 (d) 40
  4. 4.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 60 (c) 97 (d) 49
  5. 5.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 46? (a) 46 (b) 25 (c) 51 (d) 66
  6. 6.What is the average of all the whole numbers from 46 to 58? (a) 6 (b) 12 (c) 53 (d) 52
  7. 7.What is the average of 31, 47, 49, 50, 44 and 49? (a) 46 (b) 44 (c) 54 (d) 45
  8. 8.What is the average of 20, 11, 25, 9 and 35? (a) 25 (b) 19 (c) 21 (d) 20
  9. 9.What is the average of 33, 45, 31 and 51? (a) 42 (b) 41 (c) 40 (d) 39
  10. 10.What is the average of 62, 56, 60 and 26? (a) 68 (b) 51 (c) 52 (d) 50
  11. 11.What is the average of 48, 48, 22 and 18? (a) 33 (b) 35 (c) 34 (d) 36
  12. 12.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 33 (b) 23 (c) 7 (d) 17
  13. 13.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 94 (b) 52 (c) 58 (d) 48
  14. 14.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 26 (b) 27 (c) 14 (d) 25
  15. 15.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 37 (b) 30 (c) 70 (d) 93
  16. 16.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 26 (b) 6 (c) 5 (d) 55
  17. 17.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 33 (b) 34 (c) 18 (d) 32
  18. 18.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 24 (b) 36 (c) 28 (d) 16
  19. 19.What is the average of 22, 30, 40 and 52? (a) 36 (b) 48 (c) 35 (d) 37
  20. 20.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 45 (b) 22 (c) 20 (d) 19
  21. 21.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 40 (b) 42 (c) 66 (d) 34
  22. 22.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 53 (c) 93 (d) 50
  23. 23.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 64 (b) 40 (c) 32 (d) 28
  24. 24.What is the average of 70, 65, 44, 59, 43 and 55? (a) 55 (b) 58 (c) 57 (d) 56
  25. 25.What is the average of 39, 37, 22 and 46? (a) 37 (b) 36 (c) 48 (d) 35
  26. 26.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 84 (b) 56 (c) 16 (d) 44
  27. 27.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 58 (c) 36 (d) 86
  28. 28.What is the average of all the whole numbers from 13 to 21? (a) 4 (b) 8 (c) 17 (d) 18
  29. 29.What is the average of 43, 22, 25, 22, 26 and 66? (a) 34 (b) 33 (c) 36 (d) 35
  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 60? (a) 56 (b) 68 (c) 108 (d) 60
  31. 31.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 50 (b) 38 (c) 32 (d) 24
  32. 32.What is the average of 19, 21, 21 and 59? (a) 31 (b) 30 (c) 29 (d) 40
  33. 33.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 51 (b) 24 (c) 3 (d) 4
  34. 34.What is the average of 60, 58, 58, 56 and 78? (a) 62 (b) 61 (c) 64 (d) 63
  35. 35.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 32? (a) 20 (b) 36 (c) 32 (d) 48
  36. 36.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 57 (b) 51 (c) 12 (d) 48
  37. 37.What is the average of 43, 57, 54 and 42? (a) 51 (b) 49 (c) 48 (d) 50
  38. 38.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 63 (b) 54 (c) 25 (d) 34
  39. 39.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 17 (b) 14 (c) 4 (d) 27
  40. 40.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 34 (b) 46 (c) 66 (d) 14

Answer key

  1. 26
  2. 40
  3. 91
  4. 97
  5. 66
  6. 52
  7. 45
  8. 20
  9. 40
  10. 51
  11. 34
  12. 23
  13. 94
  14. 26
  15. 93
  16. 5
  17. 33
  18. 36
  19. 36
  20. 19
  21. 66
  22. 93
  23. 64
  24. 56
  25. 36
  26. 56
  27. 86
  28. 17
  29. 34
  30. 108
  31. 50
  32. 30
  33. 3
  34. 62
  35. 48
  36. 57
  37. 49
  38. 54
  39. 17
  40. 46

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