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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 884 · 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 40, 63, 64, 38 and 40? (a) 49 (b) 48 (c) 51 (d) 50
  2. 2.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 42 (c) 20 (d) 32
  3. 3.What is the average of 78, 68, 81 and 77? (a) 78 (b) 76 (c) 77 (d) 75
  4. 4.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 85 (b) 21 (c) 41 (d) 20
  5. 5.What is the average of 82, 53, 75, 67 and 63? (a) 68 (b) 69 (c) 85 (d) 67
  6. 6.What is the average of 29, 31, 31, 53, 27 and 63? (a) 40 (b) 38 (c) 41 (d) 39
  7. 7.What is the average of 39, 38, 51, 50 and 52? (a) 48 (b) 46 (c) 45 (d) 47
  8. 8.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 26 (b) 5 (c) 12 (d) 4
  9. 9.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 13 (b) 12 (c) 23 (d) 24
  10. 10.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 72 (c) 48 (d) 104
  11. 11.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 56 (c) 12 (d) 64
  12. 12.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 32 (b) 2 (c) 1 (d) 15
  13. 13.A batter has an average of 37 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 51 (b) 44 (c) 86 (d) 49
  14. 14.What is the average of 41, 31, 55 and 41? (a) 56 (b) 43 (c) 41 (d) 42
  15. 15.What is the average of 43, 57, 40, 38, 37 and 97? (a) 52 (b) 53 (c) 54 (d) 51
  16. 16.What is the average of 58, 37, 33, 42 and 70? (a) 49 (b) 48 (c) 47 (d) 60
  17. 17.What is the average of 68, 85, 74 and 69? (a) 73 (b) 75 (c) 74 (d) 76
  18. 18.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 31 (b) 86 (c) 30 (d) 42
  19. 19.What is the average of all the whole numbers from 17 to 31? (a) 14 (b) 7 (c) 25 (d) 24
  20. 20.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 45 (b) 75 (c) 40 (d) 35
  21. 21.What is the average of 45, 63, 74, 65, 57 and 56? (a) 60 (b) 59 (c) 72 (d) 61
  22. 22.What is the average of 28, 37, 54, 35 and 41? (a) 41 (b) 40 (c) 39 (d) 38
  23. 23.What is the average of 30, 37, 41 and 64? (a) 45 (b) 42 (c) 43 (d) 44
  24. 24.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 97 (c) 50 (d) 57
  25. 25.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 43 (b) 16 (c) 31 (d) 58
  26. 26.What is the average of all the whole numbers from 39 to 75? (a) 18 (b) 58 (c) 57 (d) 36
  27. 27.What is the average of all the whole numbers from 28 to 50? (a) 11 (b) 22 (c) 40 (d) 39
  28. 28.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 27 (b) 26 (c) 59 (d) 29
  29. 29.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 61 (b) 37 (c) 34 (d) 30
  30. 30.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) 12 (b) 27 (c) 18 (d) 33
  31. 31.What is the average of 72, 71, 55 and 46? (a) 63 (b) 61 (c) 60 (d) 62
  32. 32.What is the average of all the whole numbers from 24 to 48? (a) 24 (b) 36 (c) 12 (d) 37
  33. 33.What is the average of all the whole numbers from 11 to 47? (a) 36 (b) 29 (c) 30 (d) 18
  34. 34.What is the average of all the whole numbers from 14 to 22? (a) 19 (b) 8 (c) 4 (d) 18
  35. 35.What is the average of 55, 67, 47, 56 and 55? (a) 55 (b) 57 (c) 70 (d) 56
  36. 36.What is the average of all the whole numbers from 5 to 37? (a) 16 (b) 22 (c) 32 (d) 21
  37. 37.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 44 (b) 30 (c) 31 (d) 90
  38. 38.What is the average of all the whole numbers from 51 to 85? (a) 34 (b) 69 (c) 68 (d) 17
  39. 39.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 14 (b) 45 (c) 55 (d) 43
  40. 40.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 45 (c) 16 (d) 37

Answer key

  1. 49
  2. 42
  3. 76
  4. 20
  5. 68
  6. 39
  7. 46
  8. 4
  9. 23
  10. 104
  11. 64
  12. 1
  13. 86
  14. 42
  15. 52
  16. 48
  17. 74
  18. 30
  19. 24
  20. 75
  21. 60
  22. 39
  23. 43
  24. 97
  25. 43
  26. 57
  27. 39
  28. 26
  29. 61
  30. 27
  31. 61
  32. 36
  33. 29
  34. 18
  35. 56
  36. 21
  37. 30
  38. 68
  39. 55
  40. 45

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