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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 709 · 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 70, 61, 56 and 33? (a) 57 (b) 54 (c) 56 (d) 55
  2. 2.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 82 (c) 28 (d) 68
  3. 3.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 30 (b) 34 (c) 18 (d) 14
  4. 4.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 6 (b) 22 (c) 17 (d) 33
  5. 5.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 41 (b) 25 (c) 77 (d) 61
  6. 6.What is the average of all the whole numbers from 58 to 82? (a) 24 (b) 70 (c) 71 (d) 12
  7. 7.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 35 (b) 82 (c) 34 (d) 40
  8. 8.What is the average of 32, 38, 19, 27 and 49? (a) 34 (b) 35 (c) 32 (d) 33
  9. 9.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 18 (c) 42 (d) 54
  10. 10.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 40? (a) 44 (b) 20 (c) 40 (d) 56
  11. 11.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 45 (b) 43 (c) 18 (d) 59
  12. 12.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 45 (b) 97 (c) 57 (d) 62
  13. 13.What is the average of all the whole numbers from 54 to 90? (a) 18 (b) 36 (c) 73 (d) 72
  14. 14.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 66 (b) 27 (c) 87 (d) 63
  15. 15.What is the average of 44, 46, 44 and 78? (a) 55 (b) 54 (c) 53 (d) 52
  16. 16.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 31 (b) 60 (c) 37 (d) 8
  17. 17.What is the average of all the whole numbers from 12 to 28? (a) 8 (b) 21 (c) 16 (d) 20
  18. 18.What is the average of 72, 83, 70, 88 and 87? (a) 79 (b) 80 (c) 81 (d) 100
  19. 19.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 108 (b) 60 (c) 68 (d) 56
  20. 20.What is the average of 56, 74, 64, 56, 64 and 88? (a) 66 (b) 68 (c) 67 (d) 69
  21. 21.What is the average of all the whole numbers from 16 to 48? (a) 16 (b) 33 (c) 32 (d) 31
  22. 22.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 41 (b) 35 (c) 54 (d) 83
  23. 23.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 69 (c) 99 (d) 40
  24. 24.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 21 (b) 2 (c) 1 (d) 47
  25. 25.What is the average of all the whole numbers from 10 to 28? (a) 19 (b) 20 (c) 18 (d) 9
  26. 26.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 19 (b) 39 (c) 12 (d) 13
  27. 27.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 63 (b) 43 (c) 92 (d) 36
  28. 28.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 24 (c) 34 (d) 14
  29. 29.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 118 (c) 64 (d) 70
  30. 30.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 64 (c) 40 (d) 94
  31. 31.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 31 (b) 32 (c) 38 (d) 77
  32. 32.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 40 (b) 49 (c) 23 (d) 14
  33. 33.What is the average of all the whole numbers from 49 to 85? (a) 36 (b) 68 (c) 67 (d) 18
  34. 34.What is the average of 29, 37, 47, 37 and 65? (a) 45 (b) 42 (c) 43 (d) 44
  35. 35.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 38 (b) 28 (c) 62 (d) 72
  36. 36.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 51 (b) 10 (c) 43 (d) 45
  37. 37.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) 33 (c) 35 (d) 16
  38. 38.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 16 (b) 17 (c) 58 (d) 28
  39. 39.What is the average of all the whole numbers from 36 to 52? (a) 45 (b) 44 (c) 8 (d) 16
  40. 40.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 100 (c) 64 (d) 52

Answer key

  1. 55
  2. 82
  3. 30
  4. 22
  5. 61
  6. 70
  7. 34
  8. 33
  9. 54
  10. 56
  11. 59
  12. 97
  13. 72
  14. 87
  15. 53
  16. 37
  17. 20
  18. 80
  19. 108
  20. 67
  21. 32
  22. 83
  23. 99
  24. 1
  25. 19
  26. 12
  27. 92
  28. 34
  29. 118
  30. 94
  31. 31
  32. 49
  33. 67
  34. 43
  35. 62
  36. 51
  37. 47
  38. 16
  39. 44
  40. 100

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