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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 207 · 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 43, 39, 39 and 79? (a) 50 (b) 49 (c) 52 (d) 51
  2. 2.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 19 (b) 42 (c) 4 (d) 3
  3. 3.What is the average of 41, 44, 50, 25, 51 and 29? (a) 39 (b) 41 (c) 40 (d) 48
  4. 4.What is the average of all the whole numbers from 24 to 54? (a) 30 (b) 40 (c) 39 (d) 15
  5. 5.What is the average of 73, 88, 66 and 77? (a) 78 (b) 75 (c) 76 (d) 77
  6. 6.What is the average of all the whole numbers from 20 to 36? (a) 29 (b) 16 (c) 8 (d) 28
  7. 7.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 65 (b) 32 (c) 40 (d) 64
  8. 8.What is the average of all the whole numbers from 30 to 44? (a) 37 (b) 7 (c) 38 (d) 14
  9. 9.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 29 (b) 54 (c) 45 (d) 20
  10. 10.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 34 (b) 15 (c) 14 (d) 72
  11. 11.What is the average of 26, 24, 20 and 66? (a) 36 (b) 35 (c) 34 (d) 33
  12. 12.What is the average of 52, 60, 50, 56 and 57? (a) 55 (b) 57 (c) 56 (d) 54
  13. 13.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 49? (a) 32 (b) 49 (c) 77 (d) 53
  14. 14.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 54 (c) 111 (d) 69
  15. 15.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 20 (c) 70 (d) 60
  16. 16.What is the average of 25, 21, 27 and 67? (a) 35 (b) 36 (c) 37 (d) 34
  17. 17.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 41 (b) 35 (c) 77 (d) 48
  18. 18.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 19 (b) 31 (c) 16 (d) 34
  19. 19.What is the average of 28, 37, 56 and 43? (a) 40 (b) 41 (c) 43 (d) 42
  20. 20.What is the average of all the whole numbers from 42 to 50? (a) 8 (b) 46 (c) 47 (d) 4
  21. 21.What is the average of 49, 51, 49 and 87? (a) 61 (b) 59 (c) 60 (d) 58
  22. 22.What is the average of 59, 75, 67, 64 and 40? (a) 63 (b) 61 (c) 60 (d) 62
  23. 23.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 41 (c) 61 (d) 30
  24. 24.What is the average of all the whole numbers from 36 to 58? (a) 22 (b) 47 (c) 48 (d) 11
  25. 25.What is the average of 67, 74, 53 and 70? (a) 65 (b) 66 (c) 67 (d) 88
  26. 26.What is the average of 72, 72, 64 and 80? (a) 96 (b) 73 (c) 71 (d) 72
  27. 27.What is the average of 38, 33, 36, 31, 25 and 65? (a) 38 (b) 40 (c) 39 (d) 37
  28. 28.What is the average of 23, 34, 24, 34, 31 and 76? (a) 38 (b) 36 (c) 39 (d) 37
  29. 29.What is the average of 64, 69, 47, 55, 68 and 33? (a) 58 (b) 57 (c) 55 (d) 56
  30. 30.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 7 (b) 23 (c) 6 (d) 11
  31. 31.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 17 (b) 28 (c) 60 (d) 16
  32. 32.What is the average of 13, 40, 22 and 25? (a) 25 (b) 24 (c) 27 (d) 26
  33. 33.What is the average of all the whole numbers from 38 to 60? (a) 49 (b) 11 (c) 22 (d) 50
  34. 34.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 51 (b) 39 (c) 15 (d) 27
  35. 35.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 34? (a) 34 (b) 38 (c) 32 (d) 62
  36. 36.What is the average of all the whole numbers from 17 to 55? (a) 38 (b) 19 (c) 36 (d) 37
  37. 37.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 21 (b) 68 (c) 50 (d) 53
  38. 38.What is the average of all the whole numbers from 16 to 36? (a) 10 (b) 20 (c) 27 (d) 26
  39. 39.What is the average of all the whole numbers from 17 to 27? (a) 22 (b) 5 (c) 10 (d) 23
  40. 40.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 18 (b) 49 (c) 47 (d) 63

Answer key

  1. 50
  2. 3
  3. 40
  4. 39
  5. 76
  6. 28
  7. 64
  8. 37
  9. 45
  10. 14
  11. 34
  12. 55
  13. 77
  14. 111
  15. 70
  16. 35
  17. 77
  18. 31
  19. 41
  20. 46
  21. 59
  22. 61
  23. 61
  24. 47
  25. 66
  26. 72
  27. 38
  28. 37
  29. 56
  30. 6
  31. 16
  32. 25
  33. 49
  34. 39
  35. 62
  36. 36
  37. 68
  38. 26
  39. 22
  40. 63

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