← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 378 · 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 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 34 (c) 15 (d) 43
  2. 2.What is the average of all the whole numbers from 19 to 27? (a) 4 (b) 8 (c) 24 (d) 23
  3. 3.What is the average of all the whole numbers from 46 to 84? (a) 65 (b) 66 (c) 38 (d) 19
  4. 4.What is the average of 58, 63, 57 and 58? (a) 61 (b) 60 (c) 59 (d) 58
  5. 5.What is the average of all the whole numbers from 47 to 55? (a) 51 (b) 4 (c) 8 (d) 52
  6. 6.What is the average of 76, 71, 78, 55 and 45? (a) 67 (b) 64 (c) 66 (d) 65
  7. 7.What is the average of 51, 74, 46, 58, 62 and 63? (a) 60 (b) 59 (c) 61 (d) 58
  8. 8.What is the average of 62, 62, 66, 62, 56 and 4? (a) 54 (b) 51 (c) 53 (d) 52
  9. 9.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 28 (b) 16 (c) 32 (d) 44
  10. 10.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 32 (b) 74 (c) 90 (d) 66
  11. 11.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 49 (b) 62 (c) 20 (d) 33
  12. 12.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 79 (b) 55 (c) 36 (d) 49
  13. 13.What is the average of all the whole numbers from 13 to 21? (a) 18 (b) 17 (c) 4 (d) 8
  14. 14.What is the average of 83, 60, 84, 77 and 56? (a) 90 (b) 71 (c) 73 (d) 72
  15. 15.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 30 (b) 15 (c) 20 (d) 25
  16. 16.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 23 (b) 30 (c) 14 (d) 39
  17. 17.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 23? (a) 21 (b) 23 (c) 26 (d) 41
  18. 18.What is the average of all the whole numbers from 11 to 29? (a) 21 (b) 9 (c) 18 (d) 20
  19. 19.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 18 (b) 7 (c) 35 (d) 24
  20. 20.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 86 (b) 85 (c) 50 (d) 45
  21. 21.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 56 (b) 77 (c) 53 (d) 27
  22. 22.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 60 (b) 24 (c) 48 (d) 42
  23. 23.What is the average of 26, 45, 23, 30, 22 and 40? (a) 32 (b) 31 (c) 30 (d) 33
  24. 24.What is the average of 44, 50, 62, 47 and 57? (a) 65 (b) 53 (c) 52 (d) 51
  25. 25.What is the average of 60, 34, 56, 52 and 33? (a) 49 (b) 47 (c) 46 (d) 48
  26. 26.What is the average of all the whole numbers from 22 to 48? (a) 36 (b) 26 (c) 35 (d) 13
  27. 27.What is the average of all the whole numbers from 40 to 68? (a) 28 (b) 54 (c) 55 (d) 14
  28. 28.What is the average of all the whole numbers from 14 to 48? (a) 31 (b) 32 (c) 34 (d) 17
  29. 29.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 26 (b) 7 (c) 6 (d) 12
  30. 30.What is the average of all the whole numbers from 33 to 51? (a) 43 (b) 9 (c) 18 (d) 42
  31. 31.What is the average of all the whole numbers from 48 to 54? (a) 3 (b) 6 (c) 52 (d) 51
  32. 32.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 28 (b) 49 (c) 4 (d) 25
  33. 33.What is the average of all the whole numbers from 34 to 46? (a) 12 (b) 6 (c) 41 (d) 40
  34. 34.What is the average of all the whole numbers from 19 to 55? (a) 38 (b) 18 (c) 36 (d) 37
  35. 35.What is the average of 50, 37, 27, 28 and 33? (a) 35 (b) 37 (c) 34 (d) 36
  36. 36.What is the average of 53, 66, 50 and 63? (a) 59 (b) 60 (c) 57 (d) 58
  37. 37.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 31 (b) 40 (c) 59 (d) 12
  38. 38.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 33 (b) 27 (c) 26 (d) 67
  39. 39.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 65 (c) 42 (d) 37
  40. 40.What is the average of 24, 43, 43 and 26? (a) 36 (b) 33 (c) 35 (d) 34

Answer key

  1. 43
  2. 23
  3. 65
  4. 59
  5. 51
  6. 65
  7. 59
  8. 52
  9. 44
  10. 90
  11. 49
  12. 79
  13. 17
  14. 72
  15. 30
  16. 39
  17. 41
  18. 20
  19. 24
  20. 85
  21. 77
  22. 60
  23. 31
  24. 52
  25. 47
  26. 35
  27. 54
  28. 31
  29. 6
  30. 42
  31. 51
  32. 28
  33. 40
  34. 37
  35. 35
  36. 58
  37. 40
  38. 26
  39. 65
  40. 34

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