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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 831 · 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 69, 73, 55, 57, 75 and 37? (a) 61 (b) 60 (c) 63 (d) 62
  2. 2.What is the average of all the whole numbers from 55 to 75? (a) 20 (b) 66 (c) 10 (d) 65
  3. 3.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 26 (b) 25 (c) 71 (d) 34
  4. 4.What is the average of 17, 25, 24 and 62? (a) 33 (b) 31 (c) 34 (d) 32
  5. 5.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 43 (b) 29 (c) 88 (d) 30
  6. 6.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 54 (b) 84 (c) 36 (d) 42
  7. 7.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 38 (b) 28 (c) 14 (d) 26
  8. 8.What is the average of 77, 68, 91, 83 and 71? (a) 78 (b) 79 (c) 80 (d) 77
  9. 9.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 65 (b) 62 (c) 74 (d) 15
  10. 10.What is the average of 66, 41, 56 and 61? (a) 57 (b) 55 (c) 56 (d) 58
  11. 11.What is the average of all the whole numbers from 14 to 42? (a) 29 (b) 28 (c) 27 (d) 14
  12. 12.What is the average of 28, 26, 44, 31, 44 and 67? (a) 39 (b) 40 (c) 41 (d) 48
  13. 13.What is the average of 66, 39, 63, 47 and 40? (a) 51 (b) 53 (c) 52 (d) 50
  14. 14.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 28 (b) 86 (c) 29 (d) 42
  15. 15.What is the average of all the whole numbers from 34 to 48? (a) 14 (b) 41 (c) 7 (d) 42
  16. 16.What is the average of 69, 61, 63, 54 and 23? (a) 55 (b) 56 (c) 53 (d) 54
  17. 17.What is the average of 31, 40, 47, 46, 49 and 33? (a) 40 (b) 41 (c) 43 (d) 42
  18. 18.What is the average of 89, 74, 89 and 64? (a) 78 (b) 81 (c) 80 (d) 79
  19. 19.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 52 (b) 25 (c) 17 (d) 18
  20. 20.What is the average of all the whole numbers from 30 to 46? (a) 16 (b) 39 (c) 8 (d) 38
  21. 21.What is the average of all the whole numbers from 57 to 91? (a) 34 (b) 74 (c) 75 (d) 17
  22. 22.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 69 (b) 12 (c) 33 (d) 13
  23. 23.What is the average of 61, 47, 71, 60, 42 and 61? (a) 56 (b) 58 (c) 59 (d) 57
  24. 24.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 48 (c) 25 (d) 63
  25. 25.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 55 (b) 60 (c) 35 (d) 30
  26. 26.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 51 (b) 20 (c) 41 (d) 36
  27. 27.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 42 (b) 28 (c) 16 (d) 54
  28. 28.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 66? (a) 90 (b) 30 (c) 66 (d) 72
  29. 29.What is the average of 80, 90, 77 and 61? (a) 78 (b) 76 (c) 79 (d) 77
  30. 30.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 106 (b) 49 (c) 64 (d) 71
  31. 31.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 72 (b) 112 (c) 56 (d) 64
  32. 32.What is the average of all the whole numbers from 53 to 83? (a) 15 (b) 69 (c) 30 (d) 68
  33. 33.What is the average of all the whole numbers from 54 to 68? (a) 7 (b) 61 (c) 62 (d) 14
  34. 34.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) 32 (c) 64 (d) 40
  35. 35.What is the average of 64, 37, 61, 62, 63 and 19? (a) 52 (b) 51 (c) 50 (d) 53
  36. 36.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 15 (c) 45 (d) 36
  37. 37.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 73 (b) 57 (c) 49 (d) 32
  38. 38.What is the average of 45, 52, 72 and 67? (a) 59 (b) 58 (c) 61 (d) 60
  39. 39.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 65 (b) 40 (c) 89 (d) 57
  40. 40.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 32 (b) 14 (c) 21 (d) 25

Answer key

  1. 61
  2. 65
  3. 25
  4. 32
  5. 29
  6. 84
  7. 38
  8. 78
  9. 74
  10. 56
  11. 28
  12. 40
  13. 51
  14. 28
  15. 41
  16. 54
  17. 41
  18. 79
  19. 17
  20. 38
  21. 74
  22. 12
  23. 57
  24. 63
  25. 60
  26. 51
  27. 42
  28. 90
  29. 77
  30. 106
  31. 112
  32. 68
  33. 61
  34. 64
  35. 51
  36. 45
  37. 73
  38. 59
  39. 89
  40. 32

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