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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 309 · 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 74, 78, 91, 92 and 50? (a) 79 (b) 76 (c) 78 (d) 77
  2. 2.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 24 (b) 34 (c) 13 (d) 23
  3. 3.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 62 (b) 97 (c) 49 (d) 55
  4. 4.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 54 (b) 80 (c) 118 (d) 46
  5. 5.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 60 (c) 51 (d) 99
  6. 6.What is the average of all the whole numbers from 38 to 48? (a) 44 (b) 10 (c) 5 (d) 43
  7. 7.What is the average of 88, 77, 87, 83 and 40? (a) 75 (b) 77 (c) 76 (d) 74
  8. 8.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 49 (b) 99 (c) 42 (d) 43
  9. 9.What is the average of 29, 27, 47 and 41? (a) 37 (b) 35 (c) 48 (d) 36
  10. 10.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 37 (b) 38 (c) 101 (d) 49
  11. 11.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 54? (a) 12 (b) 57 (c) 63 (d) 54
  12. 12.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 15 (b) 19 (c) 16 (d) 39
  13. 13.What is the average of all the whole numbers from 26 to 36? (a) 32 (b) 5 (c) 10 (d) 31
  14. 14.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 37 (c) 28 (d) 57
  15. 15.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 16 (b) 64 (c) 72 (d) 60
  16. 16.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 56 (b) 40 (c) 47 (d) 89
  17. 17.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 28 (b) 48 (c) 50 (d) 26
  18. 18.What is the average of all the whole numbers from 18 to 26? (a) 4 (b) 8 (c) 23 (d) 22
  19. 19.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 51 (c) 76 (d) 35
  20. 20.What is the average of 84, 89, 64 and 59? (a) 75 (b) 76 (c) 73 (d) 74
  21. 21.What is the average of 33, 43, 36, 25 and 33? (a) 35 (b) 34 (c) 33 (d) 36
  22. 22.What is the average of 68, 71, 73, 77, 82 and 109? (a) 79 (b) 80 (c) 81 (d) 96
  23. 23.What is the average of 82, 68, 74, 79 and 77? (a) 77 (b) 76 (c) 75 (d) 95
  24. 24.What is the average of 52, 38, 34, 37, 53 and 80? (a) 48 (b) 50 (c) 51 (d) 49
  25. 25.What is the average of all the whole numbers from 12 to 36? (a) 23 (b) 25 (c) 12 (d) 24
  26. 26.What is the average of 9, 18, 38, 22 and 28? (a) 24 (b) 25 (c) 23 (d) 22
  27. 27.What is the average of all the whole numbers from 31 to 63? (a) 16 (b) 47 (c) 48 (d) 32
  28. 28.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 30 (c) 86 (d) 68
  29. 29.What is the average of 40, 26, 52, 28, 30 and 70? (a) 43 (b) 40 (c) 42 (d) 41
  30. 30.What is the average of all the whole numbers from 36 to 72? (a) 54 (b) 36 (c) 18 (d) 55
  31. 31.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 48 (b) 33 (c) 39 (d) 75
  32. 32.What is the average of 52, 33, 37 and 66? (a) 49 (b) 48 (c) 46 (d) 47
  33. 33.What is the average of all the whole numbers from 13 to 33? (a) 24 (b) 23 (c) 10 (d) 20
  34. 34.What is the average of 66, 83, 86 and 69? (a) 77 (b) 75 (c) 76 (d) 78
  35. 35.What is the average of 16, 25, 26 and 29? (a) 25 (b) 32 (c) 24 (d) 23
  36. 36.What is the average of 60, 64, 51, 73, 50 and 56? (a) 60 (b) 58 (c) 61 (d) 59
  37. 37.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 65? (a) 71 (b) 65 (c) 119 (d) 60
  38. 38.What is the average of all the whole numbers from 41 to 59? (a) 18 (b) 9 (c) 51 (d) 50
  39. 39.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 67 (c) 15 (d) 58
  40. 40.What is the average of 50, 47, 48 and 75? (a) 57 (b) 54 (c) 55 (d) 56

Answer key

  1. 77
  2. 34
  3. 97
  4. 118
  5. 99
  6. 43
  7. 75
  8. 42
  9. 36
  10. 37
  11. 63
  12. 15
  13. 31
  14. 57
  15. 72
  16. 89
  17. 50
  18. 22
  19. 76
  20. 74
  21. 34
  22. 80
  23. 76
  24. 49
  25. 24
  26. 23
  27. 47
  28. 86
  29. 41
  30. 54
  31. 75
  32. 47
  33. 23
  34. 76
  35. 24
  36. 59
  37. 119
  38. 50
  39. 67
  40. 55

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