← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 125 · 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 32 to 40? (a) 36 (b) 8 (c) 4 (d) 37
  2. 2.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 61? (a) 64 (b) 85 (c) 61 (d) 27
  3. 3.What is the average of all the whole numbers from 17 to 33? (a) 26 (b) 16 (c) 25 (d) 8
  4. 4.What is the average of 37, 49, 47, 34 and 78? (a) 50 (b) 51 (c) 48 (d) 49
  5. 5.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 23 (b) 48 (c) 16 (d) 15
  6. 6.What is the average of 16, 27, 14 and 51? (a) 26 (b) 28 (c) 27 (d) 36
  7. 7.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 67? (a) 75 (b) 99 (c) 40 (d) 67
  8. 8.What is the average of all the whole numbers from 40 to 70? (a) 56 (b) 55 (c) 30 (d) 15
  9. 9.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 66 (b) 45 (c) 61 (d) 101
  10. 10.What is the average of 18, 36, 10, 17, 14 and 49? (a) 23 (b) 25 (c) 26 (d) 24
  11. 11.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 13 (b) 12 (c) 42 (d) 89
  12. 12.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 23 (b) 20 (c) 14 (d) 29
  13. 13.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 25 (b) 51 (c) 20 (d) 21
  14. 14.What is the average of 53, 42, 29, 56, 41 and 31? (a) 41 (b) 44 (c) 42 (d) 43
  15. 15.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 56 (b) 11 (c) 26 (d) 10
  16. 16.What is the average of 19, 40, 17, 32 and 37? (a) 28 (b) 31 (c) 29 (d) 30
  17. 17.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 43 (b) 27 (c) 31 (d) 20
  18. 18.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) 48 (c) 45 (d) 60
  19. 19.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 75 (b) 36 (c) 19 (d) 18
  20. 20.What is the average of 78, 70, 89 and 75? (a) 77 (b) 78 (c) 79 (d) 104
  21. 21.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 54 (b) 74 (c) 50 (d) 28
  22. 22.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 38 (b) 80 (c) 27 (d) 26
  23. 23.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 33 (b) 36 (c) 29 (d) 61
  24. 24.What is the average of 48, 58, 44, 33 and 32? (a) 43 (b) 44 (c) 42 (d) 45
  25. 25.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 56 (b) 38 (c) 24 (d) 35
  26. 26.What is the average of all the whole numbers from 5 to 13? (a) 9 (b) 10 (c) 8 (d) 4
  27. 27.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 91 (b) 47 (c) 18 (d) 62
  28. 28.What is the average of all the whole numbers from 26 to 54? (a) 28 (b) 40 (c) 41 (d) 14
  29. 29.What is the average of 42, 17, 44, 34 and 23? (a) 32 (b) 40 (c) 33 (d) 31
  30. 30.What is the average of 54, 48, 41 and 81? (a) 56 (b) 55 (c) 58 (d) 57
  31. 31.What is the average of all the whole numbers from 15 to 27? (a) 6 (b) 22 (c) 21 (d) 12
  32. 32.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 27 (b) 34 (c) 31 (d) 55
  33. 33.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
  34. 34.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 43 (b) 30 (c) 31 (d) 18
  35. 35.What is the average of all the whole numbers from 59 to 87? (a) 73 (b) 74 (c) 14 (d) 28
  36. 36.What is the average of 38, 31, 32 and 59? (a) 42 (b) 40 (c) 41 (d) 39
  37. 37.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 20 (b) 33 (c) 37 (d) 49
  38. 38.What is the average of all the whole numbers from 19 to 29? (a) 25 (b) 24 (c) 5 (d) 10
  39. 39.What is the average of all the whole numbers from 31 to 65? (a) 34 (b) 49 (c) 48 (d) 17
  40. 40.What is the average of all the whole numbers from 28 to 50? (a) 40 (b) 39 (c) 22 (d) 11

Answer key

  1. 36
  2. 85
  3. 25
  4. 49
  5. 15
  6. 27
  7. 99
  8. 55
  9. 101
  10. 24
  11. 12
  12. 29
  13. 20
  14. 42
  15. 10
  16. 29
  17. 43
  18. 60
  19. 18
  20. 78
  21. 74
  22. 26
  23. 61
  24. 43
  25. 56
  26. 9
  27. 62
  28. 40
  29. 32
  30. 56
  31. 21
  32. 55
  33. 17
  34. 43
  35. 73
  36. 40
  37. 49
  38. 24
  39. 48
  40. 39

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