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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 56 · 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 42, 58, 34, 55, 42 and 63? (a) 50 (b) 49 (c) 51 (d) 48
  2. 2.What is the average of all the whole numbers from 44 to 80? (a) 63 (b) 18 (c) 36 (d) 62
  3. 3.What is the average of 79, 60, 78 and 43? (a) 64 (b) 65 (c) 67 (d) 66
  4. 4.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 42 (c) 66 (d) 96
  5. 5.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 63 (b) 49 (c) 96 (d) 16
  6. 6.What is the average of all the whole numbers from 41 to 75? (a) 17 (b) 59 (c) 34 (d) 58
  7. 7.What is the average of 52, 65, 80 and 67? (a) 88 (b) 66 (c) 67 (d) 65
  8. 8.What is the average of 68, 86, 88, 81 and 77? (a) 79 (b) 100 (c) 81 (d) 80
  9. 9.What is the average of all the whole numbers from 25 to 63? (a) 45 (b) 38 (c) 19 (d) 44
  10. 10.What is the average of all the whole numbers from 28 to 50? (a) 11 (b) 22 (c) 39 (d) 40
  11. 11.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 62 (c) 56 (d) 104
  12. 12.What is the average of 17, 13, 13 and 61? (a) 27 (b) 28 (c) 25 (d) 26
  13. 13.What is the average of all the whole numbers from 7 to 43? (a) 26 (b) 36 (c) 18 (d) 25
  14. 14.What is the average of all the whole numbers from 47 to 71? (a) 24 (b) 60 (c) 12 (d) 59
  15. 15.What is the average of 60, 46, 36, 38 and 55? (a) 48 (b) 49 (c) 47 (d) 46
  16. 16.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 63 (b) 6 (c) 32 (d) 37
  17. 17.What is the average of all the whole numbers from 9 to 35? (a) 22 (b) 23 (c) 26 (d) 13
  18. 18.What is the average of all the whole numbers from 30 to 38? (a) 34 (b) 35 (c) 8 (d) 4
  19. 19.What is the average of 74, 80, 88, 64, 71 and 91? (a) 79 (b) 80 (c) 78 (d) 77
  20. 20.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 42 (b) 73 (c) 72 (d) 36
  21. 21.What is the average of 53, 28, 30, 39, 30 and 78? (a) 44 (b) 45 (c) 43 (d) 42
  22. 22.What is the average of 51, 44, 49 and 20? (a) 40 (b) 42 (c) 41 (d) 43
  23. 23.What is the average of all the whole numbers from 37 to 43? (a) 41 (b) 6 (c) 40 (d) 3
  24. 24.What is the average of all the whole numbers from 41 to 53? (a) 12 (b) 48 (c) 6 (d) 47
  25. 25.What is the average of all the whole numbers from 22 to 36? (a) 7 (b) 29 (c) 14 (d) 30
  26. 26.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 12 (b) 25 (c) 14 (d) 23
  27. 27.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 51? (a) 76 (b) 30 (c) 51 (d) 56
  28. 28.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 36 (c) 96 (d) 68
  29. 29.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 18 (c) 39 (d) 25
  30. 30.What is the average of all the whole numbers from 50 to 72? (a) 61 (b) 11 (c) 62 (d) 22
  31. 31.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 43? (a) 10 (b) 43 (c) 45 (d) 51
  32. 32.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 49 (c) 27 (d) 48
  33. 33.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 61 (b) 12 (c) 41 (d) 32
  34. 34.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 11 (b) 31 (c) 12 (d) 15
  35. 35.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 10 (b) 12 (c) 9 (d) 25
  36. 36.What is the average of 61, 54, 49, 76, 77 and 61? (a) 65 (b) 63 (c) 62 (d) 64
  37. 37.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 48 (b) 40 (c) 32 (d) 64
  38. 38.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 28 (b) 4 (c) 5 (d) 60
  39. 39.What is the average of all the whole numbers from 50 to 68? (a) 59 (b) 18 (c) 9 (d) 60
  40. 40.What is the average of all the whole numbers from 14 to 38? (a) 12 (b) 24 (c) 26 (d) 27

Answer key

  1. 49
  2. 62
  3. 65
  4. 96
  5. 63
  6. 58
  7. 66
  8. 80
  9. 44
  10. 39
  11. 104
  12. 26
  13. 25
  14. 59
  15. 47
  16. 37
  17. 22
  18. 34
  19. 78
  20. 72
  21. 43
  22. 41
  23. 40
  24. 47
  25. 29
  26. 23
  27. 76
  28. 96
  29. 39
  30. 61
  31. 51
  32. 48
  33. 41
  34. 11
  35. 9
  36. 63
  37. 64
  38. 4
  39. 59
  40. 26

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