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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 541 · 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 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 65 (b) 62 (c) 27 (d) 86
  2. 2.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 29 (b) 34 (c) 69 (d) 28
  3. 3.What is the average of 68, 64, 80, 76, 92 and 88? (a) 78 (b) 79 (c) 80 (d) 77
  4. 4.What is the average of 52, 61, 72, 73 and 62? (a) 64 (b) 80 (c) 65 (d) 63
  5. 5.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) 33 (b) 35 (c) 39 (d) 8
  6. 6.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 67 (b) 15 (c) 14 (d) 32
  7. 7.What is the average of all the whole numbers from 6 to 28? (a) 22 (b) 18 (c) 11 (d) 17
  8. 8.What is the average of all the whole numbers from 20 to 36? (a) 29 (b) 8 (c) 28 (d) 16
  9. 9.What is the average of 60, 38, 52 and 62? (a) 52 (b) 54 (c) 55 (d) 53
  10. 10.What is the average of all the whole numbers from 21 to 29? (a) 4 (b) 25 (c) 8 (d) 26
  11. 11.What is the average of all the whole numbers from 6 to 32? (a) 26 (b) 13 (c) 20 (d) 19
  12. 12.What is the average of all the whole numbers from 29 to 61? (a) 16 (b) 46 (c) 45 (d) 32
  13. 13.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 12 (b) 45 (c) 48 (d) 54
  14. 14.What is the average of all the whole numbers from 17 to 31? (a) 25 (b) 14 (c) 7 (d) 24
  15. 15.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 23 (b) 44 (c) 31 (d) 10
  16. 16.What is the average of 37, 8, 8 and 39? (a) 24 (b) 22 (c) 23 (d) 25
  17. 17.What is the average of 57, 71, 61 and 51? (a) 59 (b) 61 (c) 80 (d) 60
  18. 18.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 17 (b) 18 (c) 32 (d) 67
  19. 19.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 39 (c) 81 (d) 54
  20. 20.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 59 (b) 67 (c) 32 (d) 40
  21. 21.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 29? (a) 32 (b) 18 (c) 29 (d) 44
  22. 22.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 37 (b) 77 (c) 56 (d) 29
  23. 23.What is the average of all the whole numbers from 49 to 71? (a) 60 (b) 22 (c) 61 (d) 11
  24. 24.What is the average of all the whole numbers from 37 to 47? (a) 10 (b) 5 (c) 43 (d) 42
  25. 25.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 20 (b) 39 (c) 19 (d) 82
  26. 26.What is the average of 67, 64, 61, 73, 73 and 118? (a) 77 (b) 78 (c) 75 (d) 76
  27. 27.What is the average of 37, 33, 63, 43, 34 and 78? (a) 49 (b) 50 (c) 47 (d) 48
  28. 28.What is the average of all the whole numbers from 58 to 66? (a) 4 (b) 63 (c) 8 (d) 62
  29. 29.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 34 (b) 67 (c) 38 (d) 5
  30. 30.What is the average of 21, 13, 24, 31, 20 and 11? (a) 19 (b) 21 (c) 24 (d) 20
  31. 31.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 63 (c) 36 (d) 91
  32. 32.What is the average of 65, 83, 64, 79, 78 and 99? (a) 79 (b) 78 (c) 77 (d) 80
  33. 33.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 49? (a) 52 (b) 49 (c) 61 (d) 15
  34. 34.What is the average of 22, 24, 38 and 36? (a) 31 (b) 30 (c) 40 (d) 29
  35. 35.What is the average of 63, 82, 75, 76 and 74? (a) 74 (b) 73 (c) 76 (d) 75
  36. 36.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 8 (b) 9 (c) 61 (d) 28
  37. 37.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 62 (c) 18 (d) 74
  38. 38.What is the average of all the whole numbers from 34 to 50? (a) 16 (b) 8 (c) 42 (d) 43
  39. 39.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 40 (b) 49 (c) 101 (d) 41
  40. 40.What is the average of all the whole numbers from 30 to 52? (a) 42 (b) 41 (c) 22 (d) 11

Answer key

  1. 86
  2. 28
  3. 78
  4. 64
  5. 39
  6. 14
  7. 17
  8. 28
  9. 53
  10. 25
  11. 19
  12. 45
  13. 54
  14. 24
  15. 31
  16. 23
  17. 60
  18. 17
  19. 81
  20. 67
  21. 44
  22. 77
  23. 60
  24. 42
  25. 19
  26. 76
  27. 48
  28. 62
  29. 38
  30. 20
  31. 91
  32. 78
  33. 61
  34. 30
  35. 74
  36. 8
  37. 74
  38. 42
  39. 40
  40. 41

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