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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 537 · 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.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 7 (b) 53 (c) 33 (d) 27
  2. 2.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 53 (c) 28 (d) 73
  3. 3.What is the average of 14, 10, 15 and 61? (a) 26 (b) 25 (c) 27 (d) 24
  4. 4.What is the average of 38, 28, 26, 24 and 44? (a) 32 (b) 40 (c) 33 (d) 31
  5. 5.What is the average of all the whole numbers from 39 to 53? (a) 14 (b) 46 (c) 47 (d) 7
  6. 6.What is the average of 76, 85, 91, 80 and 58? (a) 80 (b) 78 (c) 77 (d) 79
  7. 7.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 68 (b) 12 (c) 59 (d) 62
  8. 8.What is the average of 57, 65, 71 and 51? (a) 62 (b) 60 (c) 63 (d) 61
  9. 9.What is the average of 69, 77, 51, 58 and 75? (a) 68 (b) 67 (c) 66 (d) 65
  10. 10.What is the average of all the whole numbers from 11 to 19? (a) 8 (b) 15 (c) 16 (d) 4
  11. 11.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 32 (c) 50 (d) 30
  12. 12.What is the average of all the whole numbers from 26 to 34? (a) 30 (b) 4 (c) 31 (d) 8
  13. 13.What is the average of all the whole numbers from 48 to 54? (a) 3 (b) 52 (c) 6 (d) 51
  14. 14.What is the average of all the whole numbers from 56 to 86? (a) 15 (b) 71 (c) 30 (d) 72
  15. 15.What is the average of all the whole numbers from 20 to 58? (a) 38 (b) 40 (c) 19 (d) 39
  16. 16.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 36 (c) 30 (d) 60
  17. 17.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 36? (a) 57 (b) 28 (c) 43 (d) 36
  18. 18.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 83 (b) 56 (c) 43 (d) 35
  19. 19.What is the average of 62, 40, 45, 51 and 52? (a) 50 (b) 52 (c) 51 (d) 49
  20. 20.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 39 (b) 27 (c) 82 (d) 28
  21. 21.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 32 (b) 29 (c) 65 (d) 28
  22. 22.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 6 (b) 5 (c) 25 (d) 12
  23. 23.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 56 (b) 12 (c) 48 (d) 46
  24. 24.What is the average of all the whole numbers from 34 to 50? (a) 42 (b) 8 (c) 43 (d) 16
  25. 25.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 65 (b) 59 (c) 10 (d) 57
  26. 26.What is the average of all the whole numbers from 18 to 54? (a) 37 (b) 36 (c) 35 (d) 18
  27. 27.What is the average of 43, 40, 47, 41 and 94? (a) 55 (b) 53 (c) 54 (d) 52
  28. 28.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 24? (a) 26 (b) 24 (c) 20 (d) 42
  29. 29.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 51 (b) 39 (c) 15 (d) 42
  30. 30.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 4 (b) 18 (c) 39 (d) 3
  31. 31.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 37 (b) 100 (c) 49 (d) 38
  32. 32.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 25 (b) 46 (c) 44 (d) 45
  33. 33.What is the average of all the whole numbers from 46 to 86? (a) 40 (b) 20 (c) 66 (d) 67
  34. 34.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 59 (b) 53 (c) 55 (d) 8
  35. 35.What is the average of 22, 21, 30, 19 and 38? (a) 25 (b) 27 (c) 28 (d) 26
  36. 36.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 40? (a) 40 (b) 46 (c) 24 (d) 58
  37. 37.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 12 (c) 50 (d) 44
  38. 38.What is the average of 78, 63, 74, 58, 76 and 47? (a) 68 (b) 67 (c) 65 (d) 66
  39. 39.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 58? (a) 60 (b) 58 (c) 18 (d) 74
  40. 40.What is the average of all the whole numbers from 25 to 31? (a) 6 (b) 29 (c) 3 (d) 28

Answer key

  1. 33
  2. 73
  3. 25
  4. 32
  5. 46
  6. 78
  7. 68
  8. 61
  9. 66
  10. 15
  11. 50
  12. 30
  13. 51
  14. 71
  15. 39
  16. 60
  17. 57
  18. 83
  19. 50
  20. 27
  21. 28
  22. 5
  23. 56
  24. 42
  25. 65
  26. 36
  27. 53
  28. 42
  29. 51
  30. 3
  31. 37
  32. 45
  33. 66
  34. 59
  35. 26
  36. 58
  37. 50
  38. 66
  39. 74
  40. 28

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