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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 816 · 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 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 94 (c) 38 (d) 70
  2. 2.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 79 (b) 61 (c) 20 (d) 63
  3. 3.What is the average of all the whole numbers from 49 to 81? (a) 32 (b) 16 (c) 65 (d) 66
  4. 4.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) 71 (b) 70 (c) 35 (d) 42
  5. 5.What is the average of 21, 24, 43, 24, 26 and 78? (a) 37 (b) 36 (c) 38 (d) 35
  6. 6.What is the average of 76, 52, 53 and 79? (a) 66 (b) 67 (c) 64 (d) 65
  7. 7.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 32 (b) 16 (c) 60 (d) 44
  8. 8.What is the average of 55, 33, 59, 53 and 40? (a) 48 (b) 60 (c) 49 (d) 47
  9. 9.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 16 (b) 36 (c) 38 (d) 50
  10. 10.What is the average of 88, 66, 79, 90, 70 and 57? (a) 76 (b) 75 (c) 74 (d) 90
  11. 11.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 1 (b) 28 (c) 13 (d) 2
  12. 12.What is the average of all the whole numbers from 41 to 75? (a) 58 (b) 34 (c) 17 (d) 59
  13. 13.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 39 (b) 80 (c) 103 (d) 31
  14. 14.What is the average of 78, 73, 84 and 65? (a) 75 (b) 100 (c) 76 (d) 74
  15. 15.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 23 (b) 61 (c) 24 (d) 30
  16. 16.What is the average of 37, 29, 36, 41, 43 and 12? (a) 32 (b) 33 (c) 35 (d) 34
  17. 17.What is the average of 52, 53, 58 and 105? (a) 68 (b) 66 (c) 67 (d) 69
  18. 18.What is the average of all the whole numbers from 29 to 51? (a) 22 (b) 11 (c) 40 (d) 41
  19. 19.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 34 (b) 4 (c) 73 (d) 5
  20. 20.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 48? (a) 70 (b) 48 (c) 111 (d) 55
  21. 21.What is the average of 41, 45, 54, 50, 55 and 25? (a) 45 (b) 54 (c) 46 (d) 44
  22. 22.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 14 (b) 59 (c) 92 (d) 47
  23. 23.What is the average of all the whole numbers from 37 to 53? (a) 16 (b) 46 (c) 8 (d) 45
  24. 24.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 53 (b) 29 (c) 32 (d) 37
  25. 25.What is the average of 65, 59, 70, 76, 64 and 44? (a) 64 (b) 62 (c) 63 (d) 65
  26. 26.What is the average of all the whole numbers from 32 to 44? (a) 39 (b) 12 (c) 38 (d) 6
  27. 27.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) 31 (b) 58 (c) 16 (d) 43
  28. 28.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 30 (b) 62 (c) 17 (d) 16
  29. 29.What is the average of 38, 28, 27, 42, 31 and 32? (a) 33 (b) 32 (c) 35 (d) 34
  30. 30.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 24 (c) 38 (d) 50
  31. 31.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 15 (b) 4 (c) 29 (d) 18
  32. 32.What is the average of 40, 49, 29 and 54? (a) 45 (b) 43 (c) 42 (d) 44
  33. 33.What is the average of all the whole numbers from 20 to 50? (a) 36 (b) 15 (c) 35 (d) 30
  34. 34.What is the average of all the whole numbers from 48 to 54? (a) 52 (b) 51 (c) 3 (d) 6
  35. 35.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 36 (b) 35 (c) 45 (d) 92
  36. 36.What is the average of 54, 64, 63 and 79? (a) 64 (b) 66 (c) 67 (d) 65
  37. 37.What is the average of all the whole numbers from 39 to 73? (a) 17 (b) 34 (c) 57 (d) 56
  38. 38.What is the average of 37, 44, 31, 39 and 44? (a) 38 (b) 40 (c) 39 (d) 41
  39. 39.What is the average of all the whole numbers from 33 to 47? (a) 41 (b) 40 (c) 14 (d) 7
  40. 40.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 17 (b) 38 (c) 1 (d) 2

Answer key

  1. 94
  2. 79
  3. 65
  4. 70
  5. 36
  6. 65
  7. 44
  8. 48
  9. 50
  10. 75
  11. 1
  12. 58
  13. 103
  14. 75
  15. 23
  16. 33
  17. 67
  18. 40
  19. 4
  20. 111
  21. 45
  22. 59
  23. 45
  24. 53
  25. 63
  26. 38
  27. 43
  28. 16
  29. 33
  30. 50
  31. 18
  32. 43
  33. 35
  34. 51
  35. 35
  36. 65
  37. 56
  38. 39
  39. 40
  40. 1

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