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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 199 · 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 58, 43, 59, 57, 56 and 39? (a) 53 (b) 52 (c) 51 (d) 54
  2. 2.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 31 (b) 20 (c) 18 (d) 33
  3. 3.What is the average of 84, 89, 86, 73 and 38? (a) 74 (b) 73 (c) 76 (d) 75
  4. 4.What is the average of 60, 62, 86 and 80? (a) 72 (b) 71 (c) 96 (d) 73
  5. 5.What is the average of all the whole numbers from 14 to 44? (a) 15 (b) 30 (c) 28 (d) 29
  6. 6.What is the average of 77, 82, 73, 85, 67 and 36? (a) 71 (b) 84 (c) 70 (d) 69
  7. 7.What is the average of 46, 44, 52, 37, 49 and 48? (a) 46 (b) 45 (c) 47 (d) 48
  8. 8.What is the average of all the whole numbers from 17 to 51? (a) 35 (b) 17 (c) 33 (d) 34
  9. 9.What is the average of all the whole numbers from 21 to 29? (a) 8 (b) 25 (c) 26 (d) 4
  10. 10.What is the average of all the whole numbers from 12 to 26? (a) 14 (b) 20 (c) 7 (d) 19
  11. 11.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 57 (c) 93 (d) 48
  12. 12.What is the average of all the whole numbers from 31 to 71? (a) 52 (b) 40 (c) 51 (d) 20
  13. 13.What is the average of 64, 69, 62, 75 and 115? (a) 77 (b) 78 (c) 79 (d) 76
  14. 14.What is the average of 52, 54, 57 and 97? (a) 65 (b) 64 (c) 67 (d) 66
  15. 15.What is the average of 43, 34, 29 and 70? (a) 44 (b) 45 (c) 46 (d) 43
  16. 16.What is the average of all the whole numbers from 5 to 23? (a) 14 (b) 18 (c) 9 (d) 15
  17. 17.What is the average of 69, 57, 70 and 80? (a) 92 (b) 69 (c) 70 (d) 68
  18. 18.What is the average of 30, 35, 36, 36 and 28? (a) 33 (b) 35 (c) 32 (d) 34
  19. 19.What is the average of 62, 57, 60, 62 and 69? (a) 63 (b) 61 (c) 64 (d) 62
  20. 20.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 20 (c) 40 (d) 52
  21. 21.What is the average of 21, 28, 31, 36 and 64? (a) 37 (b) 45 (c) 35 (d) 36
  22. 22.What is the average of all the whole numbers from 59 to 71? (a) 6 (b) 66 (c) 12 (d) 65
  23. 23.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 30 (b) 60 (c) 33 (d) 36
  24. 24.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 6 (b) 17 (c) 33 (d) 22
  25. 25.What is the average of 71, 73, 49, 71 and 46? (a) 63 (b) 62 (c) 61 (d) 64
  26. 26.What is the average of all the whole numbers from 42 to 60? (a) 52 (b) 51 (c) 18 (d) 9
  27. 27.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 66 (b) 30 (c) 42 (d) 39
  28. 28.What is the average of 46, 44, 67 and 55? (a) 55 (b) 54 (c) 52 (d) 53
  29. 29.What is the average of 43, 40, 25, 39 and 28? (a) 37 (b) 35 (c) 34 (d) 36
  30. 30.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 54 (b) 8 (c) 93 (d) 47
  31. 31.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 48 (b) 46 (c) 64 (d) 20
  32. 32.What is the average of 36, 36, 21, 44, 20 and 53? (a) 35 (b) 34 (c) 36 (d) 42
  33. 33.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 16 (b) 38 (c) 48 (d) 26
  34. 34.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 16 (b) 11 (c) 33 (d) 10
  35. 35.What is the average of 75, 66, 60 and 51? (a) 64 (b) 63 (c) 84 (d) 62
  36. 36.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 8 (b) 45 (c) 41 (d) 39
  37. 37.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 38 (b) 32 (c) 24 (d) 50
  38. 38.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 64 (c) 50 (d) 28
  39. 39.What is the average of all the whole numbers from 32 to 42? (a) 10 (b) 5 (c) 37 (d) 38
  40. 40.What is the average of 88, 68, 79, 67 and 63? (a) 72 (b) 74 (c) 75 (d) 73

Answer key

  1. 52
  2. 33
  3. 74
  4. 72
  5. 29
  6. 70
  7. 46
  8. 34
  9. 25
  10. 19
  11. 93
  12. 51
  13. 77
  14. 65
  15. 44
  16. 14
  17. 69
  18. 33
  19. 62
  20. 52
  21. 36
  22. 65
  23. 60
  24. 22
  25. 62
  26. 51
  27. 66
  28. 53
  29. 35
  30. 54
  31. 64
  32. 35
  33. 38
  34. 10
  35. 63
  36. 45
  37. 50
  38. 64
  39. 37
  40. 73

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