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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 278 · 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 22? (a) 12 (b) 32 (c) 22 (d) 24
  2. 2.What is the average of all the whole numbers from 5 to 41? (a) 36 (b) 18 (c) 24 (d) 23
  3. 3.What is the average of all the whole numbers from 24 to 32? (a) 28 (b) 4 (c) 29 (d) 8
  4. 4.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 8 (b) 25 (c) 7 (d) 12
  5. 5.What is the average of all the whole numbers from 52 to 70? (a) 9 (b) 62 (c) 61 (d) 18
  6. 6.What is the average of all the whole numbers from 49 to 81? (a) 32 (b) 66 (c) 65 (d) 16
  7. 7.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 36 (c) 58 (d) 34
  8. 8.What is the average of 40, 63, 39, 46 and 82? (a) 56 (b) 54 (c) 53 (d) 55
  9. 9.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 66 (b) 36 (c) 94 (d) 62
  10. 10.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 11 (b) 5 (c) 23 (d) 4
  11. 11.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 75 (b) 7 (c) 38 (d) 44
  12. 12.What is the average of 41, 16, 31 and 16? (a) 28 (b) 25 (c) 26 (d) 27
  13. 13.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 71 (c) 24 (d) 59
  14. 14.What is the average of all the whole numbers from 47 to 55? (a) 51 (b) 8 (c) 52 (d) 4
  15. 15.What is the average of 88, 81, 74, 62, 79 and 54? (a) 72 (b) 74 (c) 73 (d) 75
  16. 16.What is the average of all the whole numbers from 47 to 75? (a) 61 (b) 14 (c) 28 (d) 62
  17. 17.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 65 (b) 59 (c) 56 (d) 12
  18. 18.What is the average of 51, 69, 56 and 60? (a) 59 (b) 61 (c) 58 (d) 60
  19. 19.What is the average of all the whole numbers from 35 to 63? (a) 28 (b) 49 (c) 14 (d) 50
  20. 20.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 42 (b) 64 (c) 35 (d) 63
  21. 21.What is the average of all the whole numbers from 25 to 59? (a) 34 (b) 17 (c) 43 (d) 42
  22. 22.What is the average of all the whole numbers from 23 to 45? (a) 35 (b) 34 (c) 22 (d) 11
  23. 23.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 46 (b) 40 (c) 64 (d) 30
  24. 24.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 94 (b) 40 (c) 62 (d) 58
  25. 25.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 21 (b) 44 (c) 47 (d) 62
  26. 26.What is the average of all the whole numbers from 22 to 30? (a) 26 (b) 8 (c) 4 (d) 27
  27. 27.What is the average of 54, 79, 49 and 74? (a) 64 (b) 63 (c) 65 (d) 66
  28. 28.What is the average of all the whole numbers from 17 to 23? (a) 6 (b) 3 (c) 20 (d) 21
  29. 29.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 20 (b) 47 (c) 59 (d) 32
  30. 30.What is the average of 92, 71, 65, 87 and 75? (a) 79 (b) 78 (c) 77 (d) 80
  31. 31.What is the average of 33, 40, 42 and 37? (a) 38 (b) 39 (c) 37 (d) 40
  32. 32.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 15 (b) 25 (c) 10 (d) 30
  33. 33.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 18 (b) 60 (c) 48 (d) 45
  34. 34.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 99 (b) 7 (c) 56 (d) 50
  35. 35.A batter has an average of 43 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 55 (b) 49 (c) 85 (d) 42
  36. 36.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 49 (b) 31 (c) 28 (d) 24
  37. 37.What is the average of 76, 64, 61 and 67? (a) 67 (b) 66 (c) 69 (d) 68
  38. 38.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 27 (b) 26 (c) 25 (d) 14
  39. 39.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 31? (a) 38 (b) 31 (c) 66 (d) 42
  40. 40.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 20 (b) 29 (c) 45 (d) 54

Answer key

  1. 32
  2. 23
  3. 28
  4. 7
  5. 61
  6. 65
  7. 58
  8. 54
  9. 94
  10. 4
  11. 44
  12. 26
  13. 71
  14. 51
  15. 73
  16. 61
  17. 65
  18. 59
  19. 49
  20. 63
  21. 42
  22. 34
  23. 64
  24. 94
  25. 62
  26. 26
  27. 64
  28. 20
  29. 47
  30. 78
  31. 38
  32. 30
  33. 60
  34. 56
  35. 85
  36. 49
  37. 67
  38. 26
  39. 66
  40. 45

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