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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 619 · 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 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 18 (b) 70 (c) 33 (d) 17
  2. 2.What is the average of all the whole numbers from 28 to 38? (a) 34 (b) 10 (c) 33 (d) 5
  3. 3.What is the average of 5, 29, 12, 6 and 48? (a) 20 (b) 19 (c) 25 (d) 21
  4. 4.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 23? (a) 26 (b) 23 (c) 30 (d) 50
  5. 5.What is the average of 51, 62, 52 and 23? (a) 49 (b) 48 (c) 46 (d) 47
  6. 6.What is the average of 10, 24, 7 and 43? (a) 20 (b) 21 (c) 28 (d) 22
  7. 7.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 51 (b) 6 (c) 91 (d) 46
  8. 8.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 31 (b) 40 (c) 12 (d) 21
  9. 9.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 67? (a) 67 (b) 70 (c) 130 (d) 74
  10. 10.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 4 (b) 97 (c) 52 (d) 49
  11. 11.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 50 (c) 64 (d) 104
  12. 12.What is the average of all the whole numbers from 16 to 32? (a) 24 (b) 25 (c) 8 (d) 16
  13. 13.What is the average of 55, 32, 33 and 44? (a) 43 (b) 40 (c) 41 (d) 42
  14. 14.What is the average of 35, 37, 46, 35, 52 and 95? (a) 49 (b) 51 (c) 50 (d) 60
  15. 15.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 16 (b) 29 (c) 56 (d) 43
  16. 16.What is the average of 75, 79, 59 and 67? (a) 70 (b) 72 (c) 69 (d) 71
  17. 17.What is the average of 58, 48, 40 and 26? (a) 44 (b) 45 (c) 42 (d) 43
  18. 18.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 64 (c) 12 (d) 56
  19. 19.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 20 (b) 36 (c) 32 (d) 16
  20. 20.What is the average of 37, 17, 19, 14, 30 and 15? (a) 22 (b) 23 (c) 21 (d) 24
  21. 21.What is the average of all the whole numbers from 37 to 47? (a) 42 (b) 10 (c) 43 (d) 5
  22. 22.What is the average of 28, 21, 24, 32 and 70? (a) 37 (b) 34 (c) 36 (d) 35
  23. 23.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 8 (b) 64 (c) 62 (d) 68
  24. 24.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 27 (b) 32 (c) 53 (d) 29
  25. 25.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 11 (b) 18 (c) 26 (d) 19
  26. 26.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 39 (b) 67 (c) 35 (d) 36
  27. 27.What is the average of 35, 33, 25 and 43? (a) 33 (b) 35 (c) 34 (d) 36
  28. 28.What is the average of all the whole numbers from 59 to 93? (a) 17 (b) 77 (c) 76 (d) 34
  29. 29.What is the average of all the whole numbers from 28 to 34? (a) 32 (b) 6 (c) 3 (d) 31
  30. 30.What is the average of 47, 41, 51, 35 and 71? (a) 51 (b) 48 (c) 50 (d) 49
  31. 31.What is the average of 19, 14, 36, 25 and 51? (a) 29 (b) 31 (c) 28 (d) 30
  32. 32.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 38 (b) 81 (c) 14 (d) 13
  33. 33.What is the average of all the whole numbers from 28 to 52? (a) 12 (b) 24 (c) 41 (d) 40
  34. 34.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 46 (b) 32 (c) 16 (d) 34
  35. 35.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 45 (b) 12 (c) 51 (d) 42
  36. 36.What is the average of all the whole numbers from 60 to 100? (a) 20 (b) 81 (c) 80 (d) 40
  37. 37.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 46? (a) 52 (b) 24 (c) 64 (d) 46
  38. 38.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 26 (b) 8 (c) 32 (d) 50
  39. 39.What is the average of 61, 67, 60, 67, 57 and 78? (a) 64 (b) 65 (c) 66 (d) 78
  40. 40.What is the average of all the whole numbers from 22 to 40? (a) 9 (b) 32 (c) 18 (d) 31

Answer key

  1. 17
  2. 33
  3. 20
  4. 50
  5. 47
  6. 21
  7. 51
  8. 31
  9. 130
  10. 52
  11. 104
  12. 24
  13. 41
  14. 50
  15. 43
  16. 70
  17. 43
  18. 64
  19. 32
  20. 22
  21. 42
  22. 35
  23. 68
  24. 53
  25. 26
  26. 67
  27. 34
  28. 76
  29. 31
  30. 49
  31. 29
  32. 13
  33. 40
  34. 46
  35. 51
  36. 80
  37. 64
  38. 32
  39. 65
  40. 31

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