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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 341 · 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 7 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 26 (b) 20 (c) 53 (d) 21
  2. 2.What is the average of 20, 40, 25, 25, 25 and 15? (a) 26 (b) 30 (c) 24 (d) 25
  3. 3.What is the average of all the whole numbers from 27 to 53? (a) 41 (b) 13 (c) 40 (d) 26
  4. 4.What is the average of 31, 29, 15 and 33? (a) 26 (b) 27 (c) 28 (d) 36
  5. 5.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 70 (b) 34 (c) 29 (d) 28
  6. 6.What is the average of 7, 17, 6, 33 and 37? (a) 19 (b) 20 (c) 21 (d) 25
  7. 7.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 14 (b) 43 (c) 15 (d) 21
  8. 8.What is the average of 68, 50, 77, 53, 52 and 90? (a) 78 (b) 66 (c) 64 (d) 65
  9. 9.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 60 (b) 52 (c) 116 (d) 72
  10. 10.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 24 (b) 32 (c) 44 (d) 26
  11. 11.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 41 (b) 37 (c) 20 (d) 24
  12. 12.What is the average of all the whole numbers from 38 to 66? (a) 28 (b) 52 (c) 53 (d) 14
  13. 13.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 12 (c) 48 (d) 56
  14. 14.What is the average of 14, 26, 13, 19 and 33? (a) 23 (b) 21 (c) 22 (d) 20
  15. 15.What is the average of all the whole numbers from 7 to 13? (a) 3 (b) 11 (c) 10 (d) 6
  16. 16.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 5 (b) 12 (c) 16 (d) 23
  17. 17.What is the average of 52, 49, 58, 54, 65 and 100? (a) 65 (b) 63 (c) 64 (d) 62
  18. 18.What is the average of 16, 37, 31 and 24? (a) 28 (b) 26 (c) 36 (d) 27
  19. 19.What is the average of all the whole numbers from 17 to 33? (a) 8 (b) 25 (c) 26 (d) 16
  20. 20.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 45 (b) 35 (c) 30 (d) 20
  21. 21.What is the average of 21, 26, 25, 11 and 27? (a) 22 (b) 24 (c) 21 (d) 23
  22. 22.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 46 (c) 88 (d) 56
  23. 23.What is the average of 60, 65, 56 and 67? (a) 63 (b) 64 (c) 62 (d) 61
  24. 24.What is the average of 39, 59, 51 and 47? (a) 48 (b) 50 (c) 49 (d) 51
  25. 25.What is the average of all the whole numbers from 58 to 96? (a) 38 (b) 78 (c) 77 (d) 19
  26. 26.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 5 (b) 19 (c) 37 (d) 23
  27. 27.What is the average of 48, 43, 46, 39 and 59? (a) 49 (b) 47 (c) 48 (d) 46
  28. 28.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 8 (b) 22 (c) 15 (d) 29
  29. 29.What is the average of 87, 63, 80, 78, 86 and 38? (a) 71 (b) 73 (c) 74 (d) 72
  30. 30.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 8 (c) 50 (d) 54
  31. 31.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 20 (c) 69 (d) 79
  32. 32.What is the average of 44, 40, 39, 60, 52 and 89? (a) 54 (b) 56 (c) 55 (d) 53
  33. 33.What is the average of all the whole numbers from 21 to 53? (a) 16 (b) 37 (c) 32 (d) 38
  34. 34.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 67 (b) 36 (c) 40 (d) 71
  35. 35.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) 4 (c) 3 (d) 24
  36. 36.What is the average of 37, 37, 38, 59 and 84? (a) 53 (b) 52 (c) 51 (d) 50
  37. 37.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 22 (b) 21 (c) 63 (d) 30
  38. 38.What is the average of all the whole numbers from 50 to 78? (a) 28 (b) 64 (c) 14 (d) 65
  39. 39.What is the average of 45, 38, 34, 19, 45 and 11? (a) 31 (b) 34 (c) 33 (d) 32
  40. 40.What is the average of 27, 56, 46, 31, 54 and 32? (a) 43 (b) 42 (c) 41 (d) 40

Answer key

  1. 20
  2. 25
  3. 40
  4. 27
  5. 28
  6. 20
  7. 14
  8. 65
  9. 116
  10. 44
  11. 41
  12. 52
  13. 56
  14. 21
  15. 10
  16. 16
  17. 63
  18. 27
  19. 25
  20. 45
  21. 22
  22. 88
  23. 62
  24. 49
  25. 77
  26. 23
  27. 47
  28. 22
  29. 72
  30. 54
  31. 79
  32. 54
  33. 37
  34. 71
  35. 3
  36. 51
  37. 21
  38. 64
  39. 32
  40. 41

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