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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 533 · 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 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 36 (c) 68 (d) 48
  2. 2.What is the average of all the whole numbers from 14 to 34? (a) 24 (b) 20 (c) 10 (d) 25
  3. 3.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 25 (b) 46 (c) 87 (d) 66
  4. 4.What is the average of 19, 17, 24, 24, 20 and 76? (a) 36 (b) 31 (c) 29 (d) 30
  5. 5.What is the average of all the whole numbers from 18 to 32? (a) 25 (b) 26 (c) 14 (d) 7
  6. 6.What is the average of 73, 92, 63, 78, 84 and 78? (a) 77 (b) 80 (c) 78 (d) 79
  7. 7.What is the average of all the whole numbers from 19 to 33? (a) 14 (b) 7 (c) 27 (d) 26
  8. 8.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 55 (b) 43 (c) 18 (d) 40
  9. 9.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 12 (b) 37 (c) 53 (d) 28
  10. 10.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 34? (a) 34 (b) 64 (c) 40 (d) 36
  11. 11.What is the average of all the whole numbers from 32 to 62? (a) 15 (b) 48 (c) 30 (d) 47
  12. 12.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 27 (b) 33 (c) 52 (d) 8
  13. 13.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 63 (b) 36 (c) 29 (d) 85
  14. 14.What is the average of all the whole numbers from 38 to 72? (a) 34 (b) 17 (c) 56 (d) 55
  15. 15.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 13 (b) 22 (c) 23 (d) 12
  16. 16.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 50 (b) 48 (c) 12 (d) 58
  17. 17.What is the average of all the whole numbers from 41 to 51? (a) 47 (b) 46 (c) 5 (d) 10
  18. 18.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 34 (b) 22 (c) 70 (d) 23
  19. 19.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 65 (c) 66 (d) 40
  20. 20.What is the average of 29, 25, 34, 37 and 35? (a) 32 (b) 40 (c) 31 (d) 33
  21. 21.What is the average of all the whole numbers from 49 to 61? (a) 12 (b) 55 (c) 6 (d) 56
  22. 22.What is the average of all the whole numbers from 52 to 66? (a) 7 (b) 14 (c) 59 (d) 60
  23. 23.What is the average of 76, 63, 75, 67, 68 and 101? (a) 90 (b) 74 (c) 76 (d) 75
  24. 24.What is the average of 11, 38, 37, 17 and 17? (a) 23 (b) 24 (c) 25 (d) 30
  25. 25.What is the average of all the whole numbers from 47 to 77? (a) 30 (b) 62 (c) 63 (d) 15
  26. 26.What is the average of 29, 36, 24 and 15? (a) 27 (b) 26 (c) 25 (d) 28
  27. 27.What is the average of all the whole numbers from 25 to 49? (a) 24 (b) 12 (c) 37 (d) 38
  28. 28.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 28 (b) 54 (c) 10 (d) 36
  29. 29.What is the average of all the whole numbers from 48 to 78? (a) 30 (b) 64 (c) 15 (d) 63
  30. 30.What is the average of all the whole numbers from 12 to 40? (a) 14 (b) 28 (c) 27 (d) 26
  31. 31.What is the average of 88, 66, 93 and 69? (a) 81 (b) 78 (c) 80 (d) 79
  32. 32.What is the average of 19, 31, 37, 30 and 18? (a) 28 (b) 26 (c) 27 (d) 29
  33. 33.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 24 (c) 73 (d) 61
  34. 34.What is the average of 37, 48, 40 and 43? (a) 41 (b) 42 (c) 43 (d) 56
  35. 35.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 33? (a) 33 (b) 42 (c) 39 (d) 69
  36. 36.What is the average of 60, 42, 50 and 40? (a) 47 (b) 48 (c) 64 (d) 49
  37. 37.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 45 (b) 31 (c) 16 (d) 60
  38. 38.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 58 (c) 100 (d) 56
  39. 39.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 24? (a) 52 (b) 32 (c) 24 (d) 28
  40. 40.What is the average of all the whole numbers from 17 to 57? (a) 20 (b) 40 (c) 38 (d) 37

Answer key

  1. 68
  2. 24
  3. 66
  4. 30
  5. 25
  6. 78
  7. 26
  8. 55
  9. 37
  10. 64
  11. 47
  12. 33
  13. 85
  14. 55
  15. 22
  16. 58
  17. 46
  18. 22
  19. 65
  20. 32
  21. 55
  22. 59
  23. 75
  24. 24
  25. 62
  26. 26
  27. 37
  28. 36
  29. 63
  30. 26
  31. 79
  32. 27
  33. 73
  34. 42
  35. 69
  36. 48
  37. 45
  38. 100
  39. 52
  40. 37

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