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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 186 · 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 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 34 (c) 24 (d) 50
  2. 2.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 32 (c) 41 (d) 15
  3. 3.What is the average of all the whole numbers from 14 to 20? (a) 18 (b) 6 (c) 3 (d) 17
  4. 4.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 45 (c) 16 (d) 33
  5. 5.What is the average of 77, 69, 69, 93, 80 and 92? (a) 80 (b) 81 (c) 79 (d) 96
  6. 6.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) 47 (c) 57 (d) 12
  7. 7.What is the average of 43, 34, 35, 47, 29 and 70? (a) 42 (b) 44 (c) 45 (d) 43
  8. 8.What is the average of all the whole numbers from 32 to 60? (a) 28 (b) 46 (c) 47 (d) 14
  9. 9.What is the average of all the whole numbers from 9 to 33? (a) 24 (b) 21 (c) 12 (d) 22
  10. 10.What is the average of 41, 46, 30, 43 and 20? (a) 35 (b) 36 (c) 37 (d) 45
  11. 11.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 55 (b) 27 (c) 30 (d) 54
  12. 12.What is the average of 44, 30, 38 and 28? (a) 35 (b) 34 (c) 37 (d) 36
  13. 13.What is the average of all the whole numbers from 40 to 66? (a) 54 (b) 13 (c) 53 (d) 26
  14. 14.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 29 (b) 35 (c) 17 (d) 47
  15. 15.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 17 (b) 30 (c) 32 (d) 45
  16. 16.What is the average of 53, 52, 50, 73 and 77? (a) 62 (b) 60 (c) 61 (d) 63
  17. 17.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 62 (c) 49 (d) 97
  18. 18.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 33 (b) 36 (c) 27 (d) 57
  19. 19.What is the average of 25, 32, 40 and 59? (a) 39 (b) 40 (c) 38 (d) 52
  20. 20.What is the average of 24, 40, 45, 41, 30 and 6? (a) 32 (b) 31 (c) 33 (d) 30
  21. 21.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 15 (b) 85 (c) 40 (d) 16
  22. 22.What is the average of 65, 40, 46, 64 and 40? (a) 50 (b) 52 (c) 51 (d) 53
  23. 23.What is the average of 26, 17, 34, 15, 35 and 17? (a) 26 (b) 24 (c) 25 (d) 23
  24. 24.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 13 (b) 19 (c) 25 (d) 7
  25. 25.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 14 (b) 35 (c) 24 (d) 25
  26. 26.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 46 (b) 39 (c) 42 (d) 74
  27. 27.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 55 (b) 8 (c) 49 (d) 96
  28. 28.What is the average of all the whole numbers from 25 to 41? (a) 34 (b) 8 (c) 33 (d) 16
  29. 29.What is the average of 42, 36, 52, 53, 35 and 58? (a) 45 (b) 48 (c) 46 (d) 47
  30. 30.What is the average of 71, 73, 75 and 53? (a) 69 (b) 70 (c) 67 (d) 68
  31. 31.What is the average of all the whole numbers from 47 to 65? (a) 57 (b) 9 (c) 56 (d) 18
  32. 32.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 30 (c) 64 (d) 88
  33. 33.What is the average of all the whole numbers from 40 to 46? (a) 43 (b) 44 (c) 3 (d) 6
  34. 34.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 35 (b) 36 (c) 42 (d) 85
  35. 35.What is the average of all the whole numbers from 15 to 41? (a) 13 (b) 26 (c) 28 (d) 29
  36. 36.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 20 (b) 24 (c) 30 (d) 14
  37. 37.What is the average of 82, 80, 72, 76 and 65? (a) 76 (b) 77 (c) 75 (d) 74
  38. 38.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 19 (b) 20 (c) 52 (d) 25
  39. 39.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 12 (b) 18 (c) 28 (d) 34
  40. 40.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 65? (a) 71 (b) 65 (c) 24 (d) 83

Answer key

  1. 50
  2. 41
  3. 17
  4. 45
  5. 80
  6. 57
  7. 43
  8. 46
  9. 21
  10. 36
  11. 54
  12. 35
  13. 53
  14. 47
  15. 45
  16. 61
  17. 97
  18. 57
  19. 39
  20. 31
  21. 15
  22. 51
  23. 24
  24. 19
  25. 35
  26. 74
  27. 55
  28. 33
  29. 46
  30. 68
  31. 56
  32. 88
  33. 43
  34. 35
  35. 28
  36. 30
  37. 75
  38. 19
  39. 28
  40. 83

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