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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 481 · 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 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 46 (b) 21 (c) 53 (d) 28
  2. 2.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 63? (a) 64 (b) 71 (c) 63 (d) 119
  3. 3.What is the average of all the whole numbers from 53 to 65? (a) 6 (b) 59 (c) 60 (d) 12
  4. 4.What is the average of all the whole numbers from 50 to 88? (a) 70 (b) 69 (c) 19 (d) 38
  5. 5.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 24 (b) 69 (c) 33 (d) 25
  6. 6.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 63 (c) 24 (d) 75
  7. 7.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 101 (b) 46 (c) 50 (d) 45
  8. 8.What is the average of all the whole numbers from 15 to 31? (a) 8 (b) 23 (c) 24 (d) 16
  9. 9.What is the average of 45, 39, 58 and 74? (a) 55 (b) 53 (c) 72 (d) 54
  10. 10.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 9 (b) 25 (c) 54 (d) 10
  11. 11.What is the average of all the whole numbers from 47 to 79? (a) 16 (b) 32 (c) 64 (d) 63
  12. 12.What is the average of all the whole numbers from 22 to 30? (a) 26 (b) 4 (c) 27 (d) 8
  13. 13.What is the average of 50, 78, 61, 53 and 73? (a) 63 (b) 64 (c) 62 (d) 65
  14. 14.What is the average of 84, 61, 59, 60 and 96? (a) 90 (b) 71 (c) 73 (d) 72
  15. 15.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 45 (b) 61 (c) 41 (d) 24
  16. 16.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 21 (b) 5 (c) 11 (d) 15
  17. 17.What is the average of 27, 25, 31, 30, 25 and 30? (a) 30 (b) 27 (c) 28 (d) 29
  18. 18.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 22 (b) 8 (c) 42 (d) 28
  19. 19.What is the average of all the whole numbers from 26 to 56? (a) 30 (b) 41 (c) 42 (d) 15
  20. 20.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 31? (a) 49 (b) 31 (c) 73 (d) 38
  21. 21.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 72 (b) 37 (c) 16 (d) 51
  22. 22.What is the average of all the whole numbers from 52 to 92? (a) 73 (b) 40 (c) 72 (d) 20
  23. 23.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 60 (b) 116 (c) 62 (d) 68
  24. 24.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 41 (b) 32 (c) 22 (d) 13
  25. 25.What is the average of all the whole numbers from 29 to 39? (a) 35 (b) 34 (c) 5 (d) 10
  26. 26.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 50? (a) 66 (b) 20 (c) 54 (d) 50
  27. 27.What is the average of all the whole numbers from 59 to 79? (a) 20 (b) 10 (c) 69 (d) 70
  28. 28.What is the average of all the whole numbers from 39 to 75? (a) 36 (b) 58 (c) 57 (d) 18
  29. 29.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 24 (c) 82 (d) 66
  30. 30.What is the average of all the whole numbers from 22 to 36? (a) 7 (b) 14 (c) 29 (d) 30
  31. 31.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 44 (b) 34 (c) 12 (d) 36
  32. 32.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 26 (c) 30 (d) 50
  33. 33.What is the average of all the whole numbers from 23 to 55? (a) 39 (b) 32 (c) 40 (d) 16
  34. 34.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 76 (b) 12 (c) 13 (d) 36
  35. 35.What is the average of 82, 80, 62, 80 and 71? (a) 76 (b) 74 (c) 75 (d) 77
  36. 36.What is the average of 76, 76, 76 and 92? (a) 79 (b) 80 (c) 82 (d) 81
  37. 37.What is the average of all the whole numbers from 37 to 61? (a) 12 (b) 49 (c) 50 (d) 24
  38. 38.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 37 (b) 29 (c) 101 (d) 80
  39. 39.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 47? (a) 50 (b) 47 (c) 27 (d) 71
  40. 40.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 20 (c) 53 (d) 43

Answer key

  1. 46
  2. 119
  3. 59
  4. 69
  5. 24
  6. 75
  7. 45
  8. 23
  9. 54
  10. 9
  11. 63
  12. 26
  13. 63
  14. 72
  15. 61
  16. 15
  17. 28
  18. 28
  19. 41
  20. 73
  21. 51
  22. 72
  23. 116
  24. 41
  25. 34
  26. 66
  27. 69
  28. 57
  29. 82
  30. 29
  31. 44
  32. 50
  33. 39
  34. 12
  35. 75
  36. 80
  37. 49
  38. 101
  39. 71
  40. 53

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