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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 101 · 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.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 70 (b) 20 (c) 54 (d) 58
  2. 2.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 56? (a) 56 (b) 71 (c) 20 (d) 61
  3. 3.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 18 (b) 38 (c) 40 (d) 54
  4. 4.What is the average of 41, 34, 38, 32 and 20? (a) 34 (b) 35 (c) 32 (d) 33
  5. 5.What is the average of all the whole numbers from 50 to 74? (a) 63 (b) 24 (c) 62 (d) 12
  6. 6.What is the average of all the whole numbers from 24 to 36? (a) 6 (b) 12 (c) 30 (d) 31
  7. 7.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 27 (c) 79 (d) 58
  8. 8.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 67 (c) 115 (d) 60
  9. 9.What is the average of 14, 31, 7, 11 and 37? (a) 20 (b) 19 (c) 25 (d) 21
  10. 10.What is the average of all the whole numbers from 48 to 78? (a) 64 (b) 30 (c) 63 (d) 15
  11. 11.What is the average of all the whole numbers from 43 to 73? (a) 15 (b) 58 (c) 59 (d) 30
  12. 12.What is the average of all the whole numbers from 12 to 36? (a) 23 (b) 12 (c) 25 (d) 24
  13. 13.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 35 (b) 69 (c) 67 (d) 37
  14. 14.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 13 (b) 10 (c) 27 (d) 9
  15. 15.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 36? (a) 42 (b) 36 (c) 30 (d) 60
  16. 16.What is the average of 21, 41, 23, 27, 31 and 55? (a) 35 (b) 32 (c) 34 (d) 33
  17. 17.What is the average of 49, 54, 70 and 75? (a) 63 (b) 62 (c) 64 (d) 61
  18. 18.What is the average of 38, 17, 40, 30 and 10? (a) 26 (b) 27 (c) 28 (d) 29
  19. 19.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 62 (b) 50 (c) 16 (d) 96
  20. 20.What is the average of all the whole numbers from 7 to 37? (a) 30 (b) 22 (c) 23 (d) 15
  21. 21.What is the average of all the whole numbers from 8 to 16? (a) 8 (b) 13 (c) 4 (d) 12
  22. 22.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 36 (c) 49 (d) 71
  23. 23.What is the average of 61, 70, 84, 72, 81 and 82? (a) 76 (b) 75 (c) 74 (d) 90
  24. 24.What is the average of 86, 71, 61, 70, 69 and 93? (a) 90 (b) 76 (c) 74 (d) 75
  25. 25.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 35? (a) 40 (b) 35 (c) 45 (d) 75
  26. 26.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 50 (c) 14 (d) 40
  27. 27.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 40 (b) 43 (c) 78 (d) 48
  28. 28.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 20 (b) 10 (c) 38 (d) 28
  29. 29.What is the average of all the whole numbers from 35 to 63? (a) 50 (b) 28 (c) 49 (d) 14
  30. 30.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 37? (a) 37 (b) 67 (c) 36 (d) 43
  31. 31.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 14 (b) 19 (c) 13 (d) 40
  32. 32.What is the average of all the whole numbers from 5 to 17? (a) 6 (b) 12 (c) 11 (d) 10
  33. 33.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) 56 (b) 51 (c) 30 (d) 76
  34. 34.What is the average of all the whole numbers from 60 to 84? (a) 24 (b) 73 (c) 12 (d) 72
  35. 35.What is the average of 64, 80, 66, 69, 80 and 79? (a) 73 (b) 72 (c) 75 (d) 74
  36. 36.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 36 (b) 30 (c) 17 (d) 11
  37. 37.What is the average of 60, 76, 73, 51, 78 and 58? (a) 68 (b) 67 (c) 66 (d) 65
  38. 38.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) 20 (c) 54 (d) 45
  39. 39.What is the average of 60, 52, 45, 55 and 88? (a) 60 (b) 59 (c) 75 (d) 61
  40. 40.What is the average of all the whole numbers from 42 to 80? (a) 19 (b) 62 (c) 38 (d) 61

Answer key

  1. 70
  2. 71
  3. 54
  4. 33
  5. 62
  6. 30
  7. 79
  8. 115
  9. 20
  10. 63
  11. 58
  12. 24
  13. 67
  14. 9
  15. 60
  16. 33
  17. 62
  18. 27
  19. 62
  20. 22
  21. 12
  22. 71
  23. 75
  24. 75
  25. 75
  26. 50
  27. 78
  28. 28
  29. 49
  30. 67
  31. 13
  32. 11
  33. 76
  34. 72
  35. 73
  36. 36
  37. 66
  38. 45
  39. 60
  40. 61

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