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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 594 · 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 8 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 8 (b) 47 (c) 79 (d) 40
  2. 2.What is the average of 43, 55, 44 and 38? (a) 60 (b) 46 (c) 44 (d) 45
  3. 3.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 22 (b) 4 (c) 43 (d) 25
  4. 4.What is the average of 71, 69, 63, 67 and 95? (a) 74 (b) 75 (c) 72 (d) 73
  5. 5.What is the average of all the whole numbers from 52 to 88? (a) 18 (b) 71 (c) 36 (d) 70
  6. 6.What is the average of 36, 27, 36, 15 and 31? (a) 30 (b) 28 (c) 31 (d) 29
  7. 7.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 61 (b) 86 (c) 56 (d) 35
  8. 8.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 11 (b) 20 (c) 17 (d) 26
  9. 9.What is the average of 70, 73, 47, 72, 68 and 36? (a) 61 (b) 60 (c) 62 (d) 63
  10. 10.What is the average of 90, 60, 87 and 63? (a) 100 (b) 75 (c) 76 (d) 74
  11. 11.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 42 (b) 12 (c) 82 (d) 52
  12. 12.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 48 (c) 67 (d) 103
  13. 13.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 46 (b) 93 (c) 40 (d) 39
  14. 14.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 24 (b) 23 (c) 29 (d) 59
  15. 15.What is the average of 38, 32, 49, 55 and 41? (a) 45 (b) 44 (c) 43 (d) 42
  16. 16.What is the average of 49, 66, 41 and 48? (a) 68 (b) 52 (c) 51 (d) 50
  17. 17.What is the average of all the whole numbers from 6 to 24? (a) 9 (b) 18 (c) 15 (d) 16
  18. 18.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 18 (b) 7 (c) 6 (d) 38
  19. 19.What is the average of 47, 51, 32 and 38? (a) 43 (b) 41 (c) 56 (d) 42
  20. 20.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) 70 (b) 74 (c) 130 (d) 67
  21. 21.What is the average of 53, 58, 40, 64 and 35? (a) 51 (b) 49 (c) 52 (d) 50
  22. 22.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 44? (a) 44 (b) 48 (c) 56 (d) 16
  23. 23.What is the average of 56, 73, 59 and 88? (a) 68 (b) 70 (c) 69 (d) 92
  24. 24.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 62 (b) 40 (c) 86 (d) 54
  25. 25.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 68 (b) 33 (c) 42 (d) 40
  26. 26.What is the average of 68, 75, 61, 70, 76 and 76? (a) 71 (b) 72 (c) 73 (d) 70
  27. 27.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 16 (b) 68 (c) 17 (d) 32
  28. 28.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 77 (c) 59 (d) 20
  29. 29.What is the average of all the whole numbers from 55 to 87? (a) 32 (b) 72 (c) 16 (d) 71
  30. 30.What is the average of 89, 70, 67, 71 and 98? (a) 78 (b) 80 (c) 79 (d) 81
  31. 31.What is the average of all the whole numbers from 28 to 56? (a) 14 (b) 42 (c) 43 (d) 28
  32. 32.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 42 (b) 30 (c) 79 (d) 67
  33. 33.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 19 (b) 7 (c) 41 (d) 8
  34. 34.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 45 (b) 12 (c) 36 (d) 69
  35. 35.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 41 (c) 83 (d) 54
  36. 36.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 33? (a) 39 (b) 33 (c) 8 (d) 35
  37. 37.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 36 (b) 48 (c) 18 (d) 33
  38. 38.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 4 (b) 77 (c) 39 (d) 42
  39. 39.What is the average of all the whole numbers from 51 to 63? (a) 58 (b) 6 (c) 12 (d) 57
  40. 40.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 54 (c) 66 (d) 16

Answer key

  1. 47
  2. 45
  3. 25
  4. 73
  5. 70
  6. 29
  7. 86
  8. 26
  9. 61
  10. 75
  11. 52
  12. 103
  13. 39
  14. 23
  15. 43
  16. 51
  17. 15
  18. 6
  19. 42
  20. 130
  21. 50
  22. 56
  23. 69
  24. 86
  25. 68
  26. 71
  27. 16
  28. 77
  29. 71
  30. 79
  31. 42
  32. 67
  33. 7
  34. 45
  35. 83
  36. 39
  37. 48
  38. 42
  39. 57
  40. 66

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