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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 713 · 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.What is the average of all the whole numbers from 47 to 61? (a) 55 (b) 7 (c) 14 (d) 54
  2. 2.What is the average of 63, 53, 79 and 69? (a) 88 (b) 65 (c) 67 (d) 66
  3. 3.What is the average of 12, 7, 14, 16 and 61? (a) 22 (b) 24 (c) 21 (d) 23
  4. 4.What is the average of 78, 80, 63 and 83? (a) 77 (b) 78 (c) 75 (d) 76
  5. 5.What is the average of 44, 72, 71 and 49? (a) 58 (b) 59 (c) 60 (d) 61
  6. 6.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 84 (c) 66 (d) 24
  7. 7.What is the average of all the whole numbers from 6 to 30? (a) 19 (b) 18 (c) 24 (d) 12
  8. 8.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 50 (c) 47 (d) 87
  9. 9.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 29 (b) 18 (c) 17 (d) 60
  10. 10.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 25 (b) 14 (c) 24 (d) 13
  11. 11.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 41? (a) 35 (b) 48 (c) 41 (d) 69
  12. 12.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 50 (c) 30 (d) 70
  13. 13.What is the average of 64, 68, 90 and 90? (a) 79 (b) 77 (c) 78 (d) 104
  14. 14.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 16 (c) 56 (d) 68
  15. 15.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 98 (b) 47 (c) 24 (d) 23
  16. 16.What is the average of 36, 51, 49 and 48? (a) 48 (b) 45 (c) 46 (d) 47
  17. 17.What is the average of all the whole numbers from 14 to 34? (a) 20 (b) 10 (c) 25 (d) 24
  18. 18.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 3 (b) 14 (c) 2 (d) 30
  19. 19.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 63 (c) 43 (d) 92
  20. 20.What is the average of 63, 53, 59 and 45? (a) 57 (b) 54 (c) 56 (d) 55
  21. 21.What is the average of all the whole numbers from 28 to 46? (a) 18 (b) 38 (c) 37 (d) 9
  22. 22.What is the average of all the whole numbers from 18 to 24? (a) 6 (b) 3 (c) 22 (d) 21
  23. 23.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 2 (b) 28 (c) 1 (d) 13
  24. 24.What is the average of all the whole numbers from 22 to 34? (a) 29 (b) 12 (c) 6 (d) 28
  25. 25.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 71 (c) 119 (d) 60
  26. 26.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 97 (b) 4 (c) 49 (d) 52
  27. 27.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 21 (b) 29 (c) 16 (d) 34
  28. 28.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 18 (b) 45 (c) 87 (d) 60
  29. 29.What is the average of 29, 16, 41 and 30? (a) 28 (b) 29 (c) 30 (d) 31
  30. 30.What is the average of all the whole numbers from 7 to 37? (a) 23 (b) 30 (c) 22 (d) 15
  31. 31.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 68 (b) 4 (c) 32 (d) 5
  32. 32.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 48? (a) 36 (b) 54 (c) 78 (d) 48
  33. 33.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 27 (b) 10 (c) 13 (d) 11
  34. 34.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 66 (c) 35 (d) 41
  35. 35.What is the average of 63, 36, 50, 36 and 70? (a) 53 (b) 51 (c) 50 (d) 52
  36. 36.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 44? (a) 27 (b) 68 (c) 47 (d) 44
  37. 37.What is the average of all the whole numbers from 46 to 56? (a) 5 (b) 51 (c) 52 (d) 10
  38. 38.What is the average of all the whole numbers from 27 to 41? (a) 35 (b) 14 (c) 34 (d) 7
  39. 39.What is the average of all the whole numbers from 9 to 41? (a) 26 (b) 25 (c) 32 (d) 16
  40. 40.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 47 (b) 71 (c) 39 (d) 40

Answer key

  1. 54
  2. 66
  3. 22
  4. 76
  5. 59
  6. 84
  7. 18
  8. 87
  9. 17
  10. 25
  11. 69
  12. 70
  13. 78
  14. 68
  15. 23
  16. 46
  17. 24
  18. 2
  19. 92
  20. 55
  21. 37
  22. 21
  23. 1
  24. 28
  25. 119
  26. 52
  27. 34
  28. 60
  29. 29
  30. 22
  31. 4
  32. 78
  33. 10
  34. 66
  35. 51
  36. 68
  37. 51
  38. 34
  39. 25
  40. 71

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