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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 573 · 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 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 53 (c) 95 (d) 54
  2. 2.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 68? (a) 92 (b) 76 (c) 32 (d) 68
  3. 3.What is the average of 92, 67, 87, 63, 78 and 75? (a) 78 (b) 79 (c) 77 (d) 76
  4. 4.What is the average of 67, 69, 47, 58, 62 and 69? (a) 64 (b) 61 (c) 63 (d) 62
  5. 5.What is the average of all the whole numbers from 52 to 82? (a) 67 (b) 68 (c) 30 (d) 15
  6. 6.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 29 (b) 17 (c) 25 (d) 37
  7. 7.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 73 (b) 45 (c) 38 (d) 42
  8. 8.What is the average of all the whole numbers from 9 to 35? (a) 22 (b) 13 (c) 23 (d) 26
  9. 9.What is the average of all the whole numbers from 37 to 67? (a) 15 (b) 30 (c) 53 (d) 52
  10. 10.What is the average of 46, 38, 36, 45 and 5? (a) 36 (b) 34 (c) 33 (d) 35
  11. 11.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 65? (a) 72 (b) 65 (c) 129 (d) 73
  12. 12.What is the average of 28, 16, 30, 19 and 17? (a) 21 (b) 24 (c) 23 (d) 22
  13. 13.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 15 (b) 37 (c) 20 (d) 32
  14. 14.What is the average of 28, 36, 55, 30 and 51? (a) 39 (b) 41 (c) 40 (d) 50
  15. 15.What is the average of 29, 38, 32 and 49? (a) 38 (b) 39 (c) 37 (d) 36
  16. 16.What is the average of 62, 64, 62, 75, 73 and 72? (a) 67 (b) 68 (c) 70 (d) 69
  17. 17.What is the average of 73, 88, 69 and 74? (a) 77 (b) 75 (c) 76 (d) 78
  18. 18.What is the average of all the whole numbers from 24 to 58? (a) 42 (b) 17 (c) 34 (d) 41
  19. 19.What is the average of all the whole numbers from 13 to 19? (a) 3 (b) 6 (c) 16 (d) 17
  20. 20.What is the average of all the whole numbers from 49 to 71? (a) 11 (b) 22 (c) 60 (d) 61
  21. 21.What is the average of all the whole numbers from 54 to 76? (a) 11 (b) 66 (c) 65 (d) 22
  22. 22.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 36 (b) 33 (c) 15 (d) 45
  23. 23.What is the average of 39, 44, 44, 40, 47 and 98? (a) 54 (b) 53 (c) 51 (d) 52
  24. 24.What is the average of 38, 28, 25 and 9? (a) 27 (b) 24 (c) 25 (d) 26
  25. 25.What is the average of 35, 32, 8, 6, 17 and 28? (a) 21 (b) 20 (c) 23 (d) 22
  26. 26.What is the average of all the whole numbers from 5 to 13? (a) 8 (b) 4 (c) 9 (d) 10
  27. 27.What is the average of all the whole numbers from 28 to 56? (a) 42 (b) 28 (c) 43 (d) 14
  28. 28.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 15 (b) 49 (c) 71 (d) 37
  29. 29.What is the average of 76, 54, 59 and 87? (a) 68 (b) 69 (c) 70 (d) 92
  30. 30.What is the average of 41, 18, 22 and 23? (a) 27 (b) 26 (c) 25 (d) 28
  31. 31.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 12 (b) 13 (c) 42 (d) 20
  32. 32.What is the average of all the whole numbers from 10 to 16? (a) 14 (b) 3 (c) 6 (d) 13
  33. 33.What is the average of 50, 61, 56 and 53? (a) 55 (b) 56 (c) 57 (d) 54
  34. 34.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 36 (b) 88 (c) 35 (d) 43
  35. 35.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 64 (b) 32 (c) 36 (d) 40
  36. 36.What is the average of 64, 49, 47, 47, 55 and 38? (a) 49 (b) 51 (c) 50 (d) 60
  37. 37.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 30 (b) 51 (c) 45 (d) 69
  38. 38.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 16 (b) 41 (c) 53 (d) 78
  39. 39.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 50 (b) 12 (c) 97 (d) 59
  40. 40.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 40 (b) 31 (c) 15 (d) 28

Answer key

  1. 95
  2. 92
  3. 77
  4. 62
  5. 67
  6. 37
  7. 73
  8. 22
  9. 52
  10. 34
  11. 129
  12. 22
  13. 32
  14. 40
  15. 37
  16. 68
  17. 76
  18. 41
  19. 16
  20. 60
  21. 65
  22. 45
  23. 52
  24. 25
  25. 21
  26. 9
  27. 42
  28. 49
  29. 69
  30. 26
  31. 12
  32. 13
  33. 55
  34. 35
  35. 64
  36. 50
  37. 69
  38. 53
  39. 59
  40. 40

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