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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 492 · 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 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 27 (b) 62 (c) 83 (d) 59
  2. 2.What is the average of 24, 51, 52, 34 and 29? (a) 37 (b) 39 (c) 40 (d) 38
  3. 3.What is the average of all the whole numbers from 6 to 20? (a) 14 (b) 7 (c) 12 (d) 13
  4. 4.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 58 (b) 94 (c) 48 (d) 12
  5. 5.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 84 (c) 69 (d) 25
  6. 6.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 42 (b) 36 (c) 70 (d) 38
  7. 7.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 70 (b) 52 (c) 24 (d) 58
  8. 8.What is the average of 70, 44, 60 and 54? (a) 56 (b) 57 (c) 58 (d) 76
  9. 9.What is the average of all the whole numbers from 6 to 40? (a) 34 (b) 23 (c) 17 (d) 24
  10. 10.What is the average of 40, 50, 55, 39 and 46? (a) 47 (b) 45 (c) 48 (d) 46
  11. 11.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 64 (b) 61 (c) 82 (d) 24
  12. 12.What is the average of all the whole numbers from 55 to 65? (a) 5 (b) 60 (c) 61 (d) 10
  13. 13.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 37 (b) 7 (c) 79 (d) 8
  14. 14.What is the average of 33, 14, 34 and 11? (a) 25 (b) 24 (c) 22 (d) 23
  15. 15.What is the average of all the whole numbers from 21 to 35? (a) 29 (b) 28 (c) 14 (d) 7
  16. 16.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 5 (b) 44 (c) 87 (d) 48
  17. 17.What is the average of all the whole numbers from 11 to 35? (a) 22 (b) 12 (c) 23 (d) 24
  18. 18.What is the average of all the whole numbers from 50 to 64? (a) 57 (b) 14 (c) 7 (d) 58
  19. 19.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 17 (b) 19 (c) 10 (d) 18
  20. 20.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) 38 (b) 5 (c) 67 (d) 34
  21. 21.What is the average of all the whole numbers from 7 to 25? (a) 18 (b) 17 (c) 16 (d) 9
  22. 22.What is the average of 61, 51, 48, 60, 40 and 22? (a) 48 (b) 49 (c) 46 (d) 47
  23. 23.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 30 (c) 90 (d) 66
  24. 24.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 67 (c) 97 (d) 40
  25. 25.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 47 (b) 41 (c) 42 (d) 95
  26. 26.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 44 (b) 20 (c) 54 (d) 39
  27. 27.What is the average of all the whole numbers from 32 to 40? (a) 8 (b) 4 (c) 36 (d) 37
  28. 28.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 54 (b) 26 (c) 20 (d) 21
  29. 29.What is the average of all the whole numbers from 13 to 35? (a) 22 (b) 24 (c) 25 (d) 11
  30. 30.What is the average of all the whole numbers from 12 to 28? (a) 8 (b) 21 (c) 16 (d) 20
  31. 31.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 67 (b) 42 (c) 66 (d) 36
  32. 32.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 64 (c) 52 (d) 24
  33. 33.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 42 (b) 53 (c) 81 (d) 46
  34. 34.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 37 (b) 32 (c) 77 (d) 50
  35. 35.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 31 (b) 29 (c) 10 (d) 37
  36. 36.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 48 (c) 18 (d) 60
  37. 37.What is the average of all the whole numbers from 20 to 28? (a) 4 (b) 24 (c) 8 (d) 25
  38. 38.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 45? (a) 45 (b) 57 (c) 15 (d) 48
  39. 39.What is the average of all the whole numbers from 6 to 16? (a) 12 (b) 11 (c) 10 (d) 5
  40. 40.What is the average of all the whole numbers from 18 to 24? (a) 21 (b) 3 (c) 6 (d) 22

Answer key

  1. 83
  2. 38
  3. 13
  4. 58
  5. 84
  6. 70
  7. 70
  8. 57
  9. 23
  10. 46
  11. 82
  12. 60
  13. 7
  14. 23
  15. 28
  16. 48
  17. 23
  18. 57
  19. 18
  20. 38
  21. 16
  22. 47
  23. 90
  24. 97
  25. 41
  26. 54
  27. 36
  28. 20
  29. 24
  30. 20
  31. 66
  32. 64
  33. 81
  34. 77
  35. 37
  36. 60
  37. 24
  38. 57
  39. 11
  40. 21

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