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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 345 · 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 all the whole numbers from 8 to 22? (a) 15 (b) 16 (c) 14 (d) 7
  2. 2.What is the average of all the whole numbers from 22 to 62? (a) 40 (b) 43 (c) 20 (d) 42
  3. 3.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 35 (b) 34 (c) 29 (d) 59
  4. 4.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 105 (b) 51 (c) 60 (d) 57
  5. 5.What is the average of 54, 35, 59, 50, 39 and 45? (a) 46 (b) 48 (c) 47 (d) 49
  6. 6.What is the average of 44, 36, 31, 39, 39 and 81? (a) 44 (b) 54 (c) 45 (d) 46
  7. 7.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 43 (b) 56 (c) 85 (d) 36
  8. 8.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 29 (b) 25 (c) 59 (d) 24
  9. 9.What is the average of all the whole numbers from 42 to 70? (a) 14 (b) 28 (c) 57 (d) 56
  10. 10.What is the average of 30, 11, 16 and 35? (a) 24 (b) 25 (c) 23 (d) 22
  11. 11.What is the average of all the whole numbers from 44 to 50? (a) 6 (b) 48 (c) 3 (d) 47
  12. 12.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 41 (b) 28 (c) 78 (d) 65
  13. 13.What is the average of 24, 43, 29, 33, 29 and 46? (a) 34 (b) 36 (c) 35 (d) 33
  14. 14.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 18 (b) 12 (c) 27 (d) 33
  15. 15.What is the average of 76, 76, 64 and 84? (a) 76 (b) 100 (c) 74 (d) 75
  16. 16.What is the average of 66, 79, 61, 75 and 99? (a) 95 (b) 76 (c) 75 (d) 77
  17. 17.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 11 (b) 12 (c) 23 (d) 48
  18. 18.What is the average of all the whole numbers from 9 to 45? (a) 28 (b) 36 (c) 27 (d) 18
  19. 19.What is the average of 17, 36, 35, 18, 39 and 41? (a) 32 (b) 33 (c) 31 (d) 30
  20. 20.What is the average of 27, 11, 32, 20, 23 and 43? (a) 28 (b) 25 (c) 26 (d) 27
  21. 21.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 64 (b) 96 (c) 56 (d) 48
  22. 22.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 42 (b) 8 (c) 36 (d) 70
  23. 23.What is the average of 46, 44, 55 and 83? (a) 76 (b) 57 (c) 58 (d) 56
  24. 24.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 27 (b) 34 (c) 69 (d) 28
  25. 25.What is the average of 19, 29, 17 and 47? (a) 27 (b) 30 (c) 28 (d) 29
  26. 26.What is the average of all the whole numbers from 23 to 61? (a) 42 (b) 43 (c) 38 (d) 19
  27. 27.What is the average of 44, 42, 39, 54, 49 and 66? (a) 50 (b) 48 (c) 49 (d) 51
  28. 28.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 44? (a) 50 (b) 89 (c) 44 (d) 49
  29. 29.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 65 (b) 38 (c) 41 (d) 30
  30. 30.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 28 (b) 64 (c) 68 (d) 88
  31. 31.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 56 (b) 87 (c) 45 (d) 38
  32. 32.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 14 (c) 44 (d) 54
  33. 33.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 87 (b) 44 (c) 4 (d) 47
  34. 34.What is the average of all the whole numbers from 45 to 75? (a) 15 (b) 60 (c) 30 (d) 61
  35. 35.What is the average of all the whole numbers from 34 to 58? (a) 12 (b) 24 (c) 47 (d) 46
  36. 36.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 40 (b) 19 (c) 13 (d) 14
  37. 37.What is the average of 41, 11, 31, 27 and 20? (a) 25 (b) 26 (c) 28 (d) 27
  38. 38.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 57 (b) 19 (c) 27 (d) 18
  39. 39.What is the average of all the whole numbers from 10 to 30? (a) 19 (b) 21 (c) 20 (d) 10
  40. 40.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 38? (a) 56 (b) 20 (c) 38 (d) 40

Answer key

  1. 15
  2. 42
  3. 59
  4. 105
  5. 47
  6. 45
  7. 85
  8. 24
  9. 56
  10. 23
  11. 47
  12. 65
  13. 34
  14. 27
  15. 75
  16. 76
  17. 11
  18. 27
  19. 31
  20. 26
  21. 96
  22. 42
  23. 57
  24. 27
  25. 28
  26. 42
  27. 49
  28. 89
  29. 65
  30. 88
  31. 87
  32. 54
  33. 47
  34. 60
  35. 46
  36. 13
  37. 26
  38. 18
  39. 20
  40. 56

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