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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 444 · 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.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 7 (b) 21 (c) 29 (d) 15
  2. 2.What is the average of all the whole numbers from 46 to 74? (a) 28 (b) 14 (c) 60 (d) 61
  3. 3.What is the average of all the whole numbers from 36 to 46? (a) 5 (b) 42 (c) 10 (d) 41
  4. 4.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 64? (a) 120 (b) 72 (c) 121 (d) 64
  5. 5.What is the average of 66, 58, 73 and 59? (a) 66 (b) 65 (c) 63 (d) 64
  6. 6.What is the average of 74, 78, 84, 72 and 87? (a) 78 (b) 79 (c) 81 (d) 80
  7. 7.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 14 (b) 58 (c) 60 (d) 70
  8. 8.What is the average of all the whole numbers from 7 to 13? (a) 6 (b) 10 (c) 3 (d) 11
  9. 9.What is the average of 33, 54, 48, 60, 60 and 33? (a) 50 (b) 49 (c) 47 (d) 48
  10. 10.What is the average of 31, 31, 29, 47 and 52? (a) 39 (b) 37 (c) 40 (d) 38
  11. 11.What is the average of 32, 37, 23, 10, 20 and 28? (a) 24 (b) 30 (c) 25 (d) 26
  12. 12.What is the average of all the whole numbers from 10 to 50? (a) 20 (b) 30 (c) 40 (d) 31
  13. 13.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 42 (b) 10 (c) 40 (d) 48
  14. 14.What is the average of all the whole numbers from 24 to 32? (a) 4 (b) 29 (c) 28 (d) 8
  15. 15.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) 60 (b) 36 (c) 30 (d) 33
  16. 16.What is the average of 70, 77, 78, 73, 89 and 75? (a) 79 (b) 76 (c) 78 (d) 77
  17. 17.What is the average of all the whole numbers from 48 to 76? (a) 14 (b) 63 (c) 28 (d) 62
  18. 18.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 34 (b) 75 (c) 35 (d) 37
  19. 19.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 22? (a) 40 (b) 22 (c) 24 (d) 20
  20. 20.What is the average of 34, 55, 36, 33, 32 and 80? (a) 54 (b) 46 (c) 45 (d) 44
  21. 21.What is the average of 38, 28, 41 and 5? (a) 27 (b) 29 (c) 28 (d) 30
  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 23? (a) 23 (b) 14 (c) 25 (d) 35
  23. 23.What is the average of all the whole numbers from 24 to 38? (a) 31 (b) 7 (c) 32 (d) 14
  24. 24.What is the average of 50, 25, 41, 51 and 13? (a) 35 (b) 36 (c) 45 (d) 37
  25. 25.What is the average of all the whole numbers from 20 to 38? (a) 18 (b) 9 (c) 30 (d) 29
  26. 26.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 9 (b) 27 (c) 8 (d) 13
  27. 27.What is the average of 23, 11, 10, 23 and 33? (a) 19 (b) 25 (c) 20 (d) 21
  28. 28.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 60? (a) 60 (b) 63 (c) 75 (d) 18
  29. 29.What is the average of 56, 55, 73, 76 and 70? (a) 65 (b) 66 (c) 68 (d) 67
  30. 30.What is the average of 14, 31, 8 and 39? (a) 24 (b) 25 (c) 22 (d) 23
  31. 31.What is the average of all the whole numbers from 41 to 53? (a) 12 (b) 6 (c) 48 (d) 47
  32. 32.What is the average of 47, 24, 27 and 38? (a) 36 (b) 35 (c) 34 (d) 33
  33. 33.What is the average of all the whole numbers from 58 to 80? (a) 70 (b) 22 (c) 69 (d) 11
  34. 34.What is the average of 57, 62, 42 and 27? (a) 47 (b) 49 (c) 48 (d) 46
  35. 35.What is the average of 72, 75, 68, 62 and 98? (a) 76 (b) 77 (c) 75 (d) 74
  36. 36.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 85 (b) 11 (c) 40 (d) 10
  37. 37.What is the average of 24, 37, 25, 16 and 53? (a) 32 (b) 31 (c) 30 (d) 33
  38. 38.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 83 (c) 53 (d) 40
  39. 39.What is the average of all the whole numbers from 7 to 27? (a) 17 (b) 20 (c) 10 (d) 18
  40. 40.What is the average of 73, 77, 68, 77 and 75? (a) 75 (b) 74 (c) 73 (d) 76

Answer key

  1. 21
  2. 60
  3. 41
  4. 120
  5. 64
  6. 79
  7. 70
  8. 10
  9. 48
  10. 38
  11. 25
  12. 30
  13. 48
  14. 28
  15. 60
  16. 77
  17. 62
  18. 34
  19. 40
  20. 45
  21. 28
  22. 35
  23. 31
  24. 36
  25. 29
  26. 8
  27. 20
  28. 75
  29. 66
  30. 23
  31. 47
  32. 34
  33. 69
  34. 47
  35. 75
  36. 10
  37. 31
  38. 83
  39. 17
  40. 74

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