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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 316 · 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 37, 55, 31, 30, 32 and 73? (a) 42 (b) 45 (c) 44 (d) 43
  2. 2.What is the average of 57, 65, 57, 55 and 111? (a) 70 (b) 68 (c) 69 (d) 71
  3. 3.What is the average of 62, 70, 48, 53 and 82? (a) 65 (b) 62 (c) 64 (d) 63
  4. 4.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 35 (b) 15 (c) 45 (d) 25
  5. 5.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 38? (a) 38 (b) 42 (c) 45 (d) 73
  6. 6.What is the average of all the whole numbers from 52 to 66? (a) 14 (b) 60 (c) 59 (d) 7
  7. 7.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 54 (b) 62 (c) 110 (d) 68
  8. 8.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 20 (b) 37 (c) 47 (d) 32
  9. 9.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 25 (b) 58 (c) 78 (d) 63
  10. 10.What is the average of 61, 61, 58 and 12? (a) 48 (b) 64 (c) 49 (d) 47
  11. 11.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 12 (b) 20 (c) 24 (d) 16
  12. 12.What is the average of all the whole numbers from 11 to 49? (a) 19 (b) 31 (c) 38 (d) 30
  13. 13.What is the average of all the whole numbers from 11 to 21? (a) 16 (b) 5 (c) 17 (d) 10
  14. 14.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 46 (b) 44 (c) 10 (d) 52
  15. 15.What is the average of 78, 65, 50, 70 and 62? (a) 64 (b) 67 (c) 65 (d) 66
  16. 16.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 20 (b) 37 (c) 24 (d) 41
  17. 17.What is the average of all the whole numbers from 14 to 30? (a) 23 (b) 16 (c) 22 (d) 8
  18. 18.What is the average of all the whole numbers from 48 to 54? (a) 3 (b) 6 (c) 52 (d) 51
  19. 19.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 111 (b) 63 (c) 55 (d) 64
  20. 20.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 8 (b) 31 (c) 16 (d) 23
  21. 21.What is the average of 88, 84, 73, 86, 73 and 46? (a) 74 (b) 90 (c) 76 (d) 75
  22. 22.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 2 (b) 13 (c) 1 (d) 28
  23. 23.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 41 (b) 23 (c) 25 (d) 43
  24. 24.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 21 (b) 10 (c) 46 (d) 9
  25. 25.What is the average of 77, 72, 54 and 61? (a) 67 (b) 88 (c) 65 (d) 66
  26. 26.What is the average of 65, 71, 79, 58, 78 and 45? (a) 66 (b) 67 (c) 65 (d) 68
  27. 27.What is the average of 23, 14, 34, 18, 16 and 69? (a) 31 (b) 29 (c) 28 (d) 30
  28. 28.What is the average of 72, 54, 60, 75 and 74? (a) 67 (b) 66 (c) 68 (d) 69
  29. 29.What is the average of all the whole numbers from 58 to 84? (a) 72 (b) 26 (c) 71 (d) 13
  30. 30.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 71 (b) 24 (c) 53 (d) 50
  31. 31.What is the average of 26, 31, 23, 31 and 59? (a) 34 (b) 36 (c) 35 (d) 33
  32. 32.What is the average of 26, 25, 27 and 62? (a) 36 (b) 37 (c) 35 (d) 34
  33. 33.What is the average of 47, 60, 45, 40, 48 and 66? (a) 50 (b) 52 (c) 51 (d) 53
  34. 34.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 64? (a) 71 (b) 42 (c) 64 (d) 99
  35. 35.What is the average of all the whole numbers from 39 to 61? (a) 51 (b) 11 (c) 22 (d) 50
  36. 36.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 14 (b) 45 (c) 35 (d) 33
  37. 37.What is the average of all the whole numbers from 48 to 76? (a) 63 (b) 14 (c) 28 (d) 62
  38. 38.What is the average of 45, 50, 69 and 52? (a) 72 (b) 53 (c) 54 (d) 55
  39. 39.What is the average of 71, 69, 50 and 66? (a) 66 (b) 64 (c) 63 (d) 65
  40. 40.What is the average of all the whole numbers from 5 to 39? (a) 23 (b) 17 (c) 34 (d) 22

Answer key

  1. 43
  2. 69
  3. 63
  4. 45
  5. 73
  6. 59
  7. 110
  8. 47
  9. 78
  10. 48
  11. 24
  12. 30
  13. 16
  14. 52
  15. 65
  16. 41
  17. 22
  18. 51
  19. 111
  20. 23
  21. 75
  22. 1
  23. 43
  24. 9
  25. 66
  26. 66
  27. 29
  28. 67
  29. 71
  30. 71
  31. 34
  32. 35
  33. 51
  34. 99
  35. 50
  36. 45
  37. 62
  38. 54
  39. 64
  40. 22

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