← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 787 · 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 17 to 37? (a) 28 (b) 27 (c) 10 (d) 20
  2. 2.What is the average of all the whole numbers from 54 to 92? (a) 19 (b) 38 (c) 74 (d) 73
  3. 3.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 56 (b) 68 (c) 60 (d) 108
  4. 4.What is the average of 29, 25, 24, 10, 23 and 15? (a) 23 (b) 20 (c) 21 (d) 22
  5. 5.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) 14 (b) 2 (c) 3 (d) 30
  6. 6.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 32 (c) 62 (d) 40
  7. 7.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 29 (b) 22 (c) 43 (d) 8
  8. 8.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 19 (b) 17 (c) 8 (d) 10
  9. 9.What is the average of 51, 48, 56 and 29? (a) 45 (b) 48 (c) 46 (d) 47
  10. 10.What is the average of all the whole numbers from 12 to 36? (a) 25 (b) 23 (c) 12 (d) 24
  11. 11.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 14 (b) 29 (c) 8 (d) 9
  12. 12.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 50 (b) 30 (c) 68 (d) 44
  13. 13.What is the average of 37, 25, 43 and 43? (a) 37 (b) 39 (c) 38 (d) 36
  14. 14.What is the average of 67, 61, 46, 48 and 68? (a) 59 (b) 58 (c) 60 (d) 57
  15. 15.What is the average of 10, 6, 19 and 45? (a) 19 (b) 20 (c) 21 (d) 22
  16. 16.What is the average of 49, 45, 38, 30 and 18? (a) 37 (b) 35 (c) 36 (d) 45
  17. 17.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 6 (b) 5 (c) 15 (d) 32
  18. 18.What is the average of all the whole numbers from 7 to 41? (a) 25 (b) 24 (c) 34 (d) 17
  19. 19.What is the average of 37, 25, 36 and 30? (a) 34 (b) 33 (c) 31 (d) 32
  20. 20.What is the average of all the whole numbers from 38 to 78? (a) 58 (b) 40 (c) 20 (d) 59
  21. 21.What is the average of all the whole numbers from 7 to 33? (a) 21 (b) 13 (c) 26 (d) 20
  22. 22.What is the average of all the whole numbers from 35 to 55? (a) 46 (b) 10 (c) 45 (d) 20
  23. 23.What is the average of 29, 30, 24, 27, 21 and 7? (a) 23 (b) 24 (c) 25 (d) 22
  24. 24.What is the average of 18, 20, 27 and 55? (a) 31 (b) 40 (c) 29 (d) 30
  25. 25.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 47 (b) 39 (c) 48 (d) 79
  26. 26.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 30 (b) 19 (c) 37 (d) 12
  27. 27.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 30 (b) 44 (c) 29 (d) 91
  28. 28.What is the average of 49, 25, 31 and 43? (a) 36 (b) 38 (c) 37 (d) 39
  29. 29.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 63 (b) 37 (c) 93 (d) 44
  30. 30.What is the average of 26, 47, 27, 37 and 28? (a) 34 (b) 32 (c) 33 (d) 35
  31. 31.What is the average of 37, 31, 25, 50, 31 and 60? (a) 39 (b) 41 (c) 38 (d) 40
  32. 32.What is the average of all the whole numbers from 54 to 72? (a) 64 (b) 18 (c) 9 (d) 63
  33. 33.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 51 (b) 30 (c) 28 (d) 37
  34. 34.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 41 (b) 42 (c) 44 (d) 89
  35. 35.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 34 (b) 33 (c) 36 (d) 73
  36. 36.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 43 (b) 37 (c) 7 (d) 73
  37. 37.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 8 (c) 49 (d) 45
  38. 38.What is the average of all the whole numbers from 40 to 76? (a) 59 (b) 36 (c) 58 (d) 18
  39. 39.What is the average of all the whole numbers from 37 to 67? (a) 15 (b) 30 (c) 53 (d) 52
  40. 40.What is the average of all the whole numbers from 53 to 81? (a) 14 (b) 28 (c) 68 (d) 67

Answer key

  1. 27
  2. 73
  3. 108
  4. 21
  5. 2
  6. 62
  7. 29
  8. 17
  9. 46
  10. 24
  11. 8
  12. 68
  13. 37
  14. 58
  15. 20
  16. 36
  17. 5
  18. 24
  19. 32
  20. 58
  21. 20
  22. 45
  23. 23
  24. 30
  25. 79
  26. 37
  27. 29
  28. 37
  29. 93
  30. 33
  31. 39
  32. 63
  33. 51
  34. 41
  35. 33
  36. 43
  37. 49
  38. 58
  39. 52
  40. 67

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad