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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 808 · 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 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 71 (b) 42 (c) 35 (d) 41
  2. 2.What is the average of all the whole numbers from 40 to 66? (a) 13 (b) 53 (c) 54 (d) 26
  3. 3.What is the average of 60, 65, 44, 42, 63 and 50? (a) 56 (b) 54 (c) 53 (d) 55
  4. 4.What is the average of all the whole numbers from 40 to 54? (a) 7 (b) 14 (c) 47 (d) 48
  5. 5.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 43 (b) 64 (c) 33 (d) 12
  6. 6.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 17 (b) 6 (c) 37 (d) 5
  7. 7.What is the average of 70, 77, 68, 78, 77 and 68? (a) 72 (b) 74 (c) 73 (d) 75
  8. 8.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 56 (b) 40 (c) 57 (d) 32
  9. 9.What is the average of 35, 32, 8, 24 and 11? (a) 21 (b) 23 (c) 24 (d) 22
  10. 10.What is the average of 22, 41, 32, 44 and 31? (a) 35 (b) 36 (c) 33 (d) 34
  11. 11.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 8 (b) 22 (c) 43 (d) 29
  12. 12.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 50 (b) 24 (c) 15 (d) 14
  13. 13.What is the average of 12, 25, 38, 31, 30 and 26? (a) 26 (b) 29 (c) 28 (d) 27
  14. 14.What is the average of 58, 61, 59, 47, 61 and 38? (a) 53 (b) 55 (c) 56 (d) 54
  15. 15.What is the average of 51, 43, 26 and 40? (a) 42 (b) 39 (c) 41 (d) 40
  16. 16.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 37 (b) 31 (c) 76 (d) 32
  17. 17.What is the average of all the whole numbers from 23 to 55? (a) 32 (b) 16 (c) 40 (d) 39
  18. 18.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 32 (b) 62 (c) 44 (d) 14
  19. 19.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 16 (b) 47 (c) 59 (d) 51
  20. 20.What is the average of 31, 46, 52, 34, 26 and 45? (a) 40 (b) 38 (c) 39 (d) 41
  21. 21.What is the average of 25, 16, 22 and 21? (a) 20 (b) 28 (c) 21 (d) 22
  22. 22.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 94 (b) 41 (c) 46 (d) 40
  23. 23.What is the average of all the whole numbers from 5 to 21? (a) 13 (b) 8 (c) 14 (d) 16
  24. 24.What is the average of 37, 9, 35, 22, 27 and 2? (a) 21 (b) 24 (c) 23 (d) 22
  25. 25.What is the average of 38, 22, 31 and 41? (a) 32 (b) 44 (c) 34 (d) 33
  26. 26.What is the average of 59, 69, 75, 66, 74 and 65? (a) 68 (b) 69 (c) 67 (d) 70
  27. 27.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 42 (b) 70 (c) 71 (d) 35
  28. 28.What is the average of all the whole numbers from 54 to 78? (a) 12 (b) 66 (c) 67 (d) 24
  29. 29.What is the average of all the whole numbers from 36 to 74? (a) 55 (b) 19 (c) 56 (d) 38
  30. 30.What is the average of 53, 32, 43, 54 and 13? (a) 40 (b) 38 (c) 39 (d) 41
  31. 31.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 84 (b) 30 (c) 36 (d) 60
  32. 32.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 30 (b) 61 (c) 24 (d) 25
  33. 33.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 37 (b) 90 (c) 44 (d) 36
  34. 34.What is the average of 77, 65, 67 and 83? (a) 74 (b) 72 (c) 75 (d) 73
  35. 35.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 60 (c) 101 (d) 53
  36. 36.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 33? (a) 47 (b) 16 (c) 35 (d) 33
  37. 37.What is the average of all the whole numbers from 27 to 49? (a) 39 (b) 38 (c) 22 (d) 11
  38. 38.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 50 (c) 25 (d) 65
  39. 39.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 48 (b) 8 (c) 81 (d) 41
  40. 40.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 7 (b) 15 (c) 32 (d) 8

Answer key

  1. 71
  2. 53
  3. 54
  4. 47
  5. 43
  6. 5
  7. 73
  8. 56
  9. 22
  10. 34
  11. 29
  12. 14
  13. 27
  14. 54
  15. 40
  16. 31
  17. 39
  18. 44
  19. 59
  20. 39
  21. 21
  22. 40
  23. 13
  24. 22
  25. 33
  26. 68
  27. 70
  28. 66
  29. 55
  30. 39
  31. 84
  32. 24
  33. 36
  34. 73
  35. 101
  36. 47
  37. 38
  38. 65
  39. 48
  40. 7

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