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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 843 · 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 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 32 (b) 45 (c) 27 (d) 67
  2. 2.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 12 (b) 56 (c) 46 (d) 48
  3. 3.What is the average of 31, 26, 25, 40 and 3? (a) 24 (b) 27 (c) 25 (d) 26
  4. 4.What is the average of 56, 46, 53 and 61? (a) 55 (b) 72 (c) 53 (d) 54
  5. 5.What is the average of all the whole numbers from 17 to 37? (a) 28 (b) 20 (c) 27 (d) 10
  6. 6.What is the average of 66, 67, 63 and 108? (a) 75 (b) 77 (c) 76 (d) 78
  7. 7.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 67 (b) 36 (c) 35 (d) 66
  8. 8.What is the average of 35, 32, 34 and 51? (a) 38 (b) 37 (c) 39 (d) 40
  9. 9.What is the average of 53, 33, 45, 38 and 71? (a) 60 (b) 47 (c) 48 (d) 49
  10. 10.What is the average of 13, 40, 14, 15, 29 and 45? (a) 26 (b) 27 (c) 28 (d) 25
  11. 11.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 49 (b) 57 (c) 12 (d) 47
  12. 12.What is the average of all the whole numbers from 31 to 67? (a) 49 (b) 36 (c) 50 (d) 18
  13. 13.What is the average of all the whole numbers from 13 to 51? (a) 38 (b) 19 (c) 33 (d) 32
  14. 14.What is the average of 68, 43, 63 and 50? (a) 56 (b) 58 (c) 57 (d) 55
  15. 15.What is the average of all the whole numbers from 6 to 34? (a) 28 (b) 21 (c) 14 (d) 20
  16. 16.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 53? (a) 64 (b) 61 (c) 53 (d) 109
  17. 17.What is the average of 48, 60, 49, 43 and 90? (a) 59 (b) 60 (c) 58 (d) 57
  18. 18.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) 36 (b) 40 (c) 34 (d) 64
  19. 19.What is the average of 25, 40, 52, 44 and 39? (a) 50 (b) 41 (c) 39 (d) 40
  20. 20.What is the average of 25, 31, 43, 48 and 28? (a) 37 (b) 34 (c) 35 (d) 36
  21. 21.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 7 (b) 14 (c) 6 (d) 30
  22. 22.What is the average of 63, 69, 73 and 43? (a) 63 (b) 64 (c) 62 (d) 61
  23. 23.What is the average of all the whole numbers from 38 to 52? (a) 45 (b) 46 (c) 14 (d) 7
  24. 24.What is the average of all the whole numbers from 32 to 66? (a) 50 (b) 49 (c) 17 (d) 34
  25. 25.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 22? (a) 18 (b) 38 (c) 22 (d) 24
  26. 26.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 20 (c) 54 (d) 64
  27. 27.What is the average of 24, 38, 24 and 70? (a) 39 (b) 40 (c) 52 (d) 38
  28. 28.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 66 (b) 51 (c) 18 (d) 54
  29. 29.What is the average of all the whole numbers from 24 to 32? (a) 28 (b) 8 (c) 29 (d) 4
  30. 30.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 25 (b) 65 (c) 45 (d) 85
  31. 31.What is the average of 79, 84, 77 and 48? (a) 72 (b) 96 (c) 71 (d) 73
  32. 32.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 32 (c) 48 (d) 20
  33. 33.What is the average of 22, 29, 20, 29, 18 and 74? (a) 34 (b) 32 (c) 33 (d) 31
  34. 34.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 6 (b) 13 (c) 5 (d) 28
  35. 35.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 19 (b) 24 (c) 37 (d) 6
  36. 36.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 61 (b) 49 (c) 14 (d) 51
  37. 37.What is the average of all the whole numbers from 53 to 85? (a) 16 (b) 70 (c) 69 (d) 32
  38. 38.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 56? (a) 58 (b) 18 (c) 56 (d) 72
  39. 39.What is the average of all the whole numbers from 53 to 77? (a) 66 (b) 65 (c) 24 (d) 12
  40. 40.What is the average of 54, 63, 49, 59, 66 and 45? (a) 56 (b) 57 (c) 55 (d) 58

Answer key

  1. 67
  2. 56
  3. 25
  4. 54
  5. 27
  6. 76
  7. 66
  8. 38
  9. 48
  10. 26
  11. 57
  12. 49
  13. 32
  14. 56
  15. 20
  16. 109
  17. 58
  18. 64
  19. 40
  20. 35
  21. 6
  22. 62
  23. 45
  24. 49
  25. 38
  26. 64
  27. 39
  28. 66
  29. 28
  30. 65
  31. 72
  32. 48
  33. 32
  34. 5
  35. 24
  36. 61
  37. 69
  38. 72
  39. 65
  40. 56

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