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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 148 · 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 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 64? (a) 127 (b) 64 (c) 70 (d) 71
  2. 2.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 64 (b) 45 (c) 59 (d) 99
  3. 3.What is the average of all the whole numbers from 22 to 52? (a) 30 (b) 15 (c) 37 (d) 38
  4. 4.What is the average of 15, 13, 20 and 40? (a) 24 (b) 23 (c) 21 (d) 22
  5. 5.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 22? (a) 24 (b) 22 (c) 40 (d) 20
  6. 6.What is the average of 52, 45, 47, 38, 44 and 86? (a) 51 (b) 54 (c) 53 (d) 52
  7. 7.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 92 (b) 20 (c) 21 (d) 44
  8. 8.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 101 (b) 50 (c) 45 (d) 44
  9. 9.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 30 (b) 64 (c) 61 (d) 88
  10. 10.What is the average of all the whole numbers from 59 to 75? (a) 16 (b) 68 (c) 67 (d) 8
  11. 11.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 47? (a) 52 (b) 67 (c) 47 (d) 25
  12. 12.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 30? (a) 48 (b) 30 (c) 36 (d) 24
  13. 13.What is the average of 14, 17, 31 and 42? (a) 25 (b) 27 (c) 28 (d) 26
  14. 14.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 6 (b) 5 (c) 10 (d) 21
  15. 15.What is the average of 46, 23, 47, 34 and 30? (a) 37 (b) 35 (c) 45 (d) 36
  16. 16.What is the average of 38, 42, 22 and 42? (a) 48 (b) 35 (c) 37 (d) 36
  17. 17.What is the average of all the whole numbers from 25 to 37? (a) 6 (b) 31 (c) 12 (d) 32
  18. 18.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 24 (b) 32 (c) 48 (d) 28
  19. 19.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 16 (b) 43 (c) 39 (d) 51
  20. 20.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 49? (a) 58 (b) 52 (c) 12 (d) 49
  21. 21.What is the average of all the whole numbers from 32 to 38? (a) 36 (b) 6 (c) 3 (d) 35
  22. 22.What is the average of 66, 70, 61, 87, 85 and 63? (a) 71 (b) 74 (c) 72 (d) 73
  23. 23.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 46 (c) 14 (d) 56
  24. 24.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 41 (b) 42 (c) 48 (d) 97
  25. 25.What is the average of 45, 48, 48 and 55? (a) 50 (b) 49 (c) 48 (d) 51
  26. 26.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 42 (b) 36 (c) 10 (d) 34
  27. 27.What is the average of 73, 70, 66 and 51? (a) 66 (b) 64 (c) 67 (d) 65
  28. 28.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 25 (c) 60 (d) 75
  29. 29.What is the average of all the whole numbers from 59 to 83? (a) 24 (b) 12 (c) 72 (d) 71
  30. 30.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 45 (b) 60 (c) 95 (d) 55
  31. 31.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 56 (b) 44 (c) 52 (d) 92
  32. 32.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 41 (b) 40 (c) 16 (d) 28
  33. 33.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) 57 (b) 52 (c) 50 (d) 97
  34. 34.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 19 (b) 45 (c) 22 (d) 20
  35. 35.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 88 (b) 74 (c) 32 (d) 46
  36. 36.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 101 (c) 59 (d) 56
  37. 37.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 79 (b) 51 (c) 58 (d) 35
  38. 38.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 30 (b) 79 (c) 55 (d) 61
  39. 39.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 4 (b) 20 (c) 33 (d) 17
  40. 40.What is the average of 41, 38, 44 and 77? (a) 49 (b) 50 (c) 51 (d) 52

Answer key

  1. 127
  2. 99
  3. 37
  4. 22
  5. 40
  6. 52
  7. 20
  8. 44
  9. 88
  10. 67
  11. 67
  12. 48
  13. 26
  14. 5
  15. 36
  16. 36
  17. 31
  18. 48
  19. 51
  20. 58
  21. 35
  22. 72
  23. 56
  24. 41
  25. 49
  26. 42
  27. 65
  28. 75
  29. 71
  30. 95
  31. 92
  32. 40
  33. 97
  34. 19
  35. 74
  36. 101
  37. 79
  38. 79
  39. 20
  40. 50

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