← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 878 · 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 31, 25, 24, 44, 42 and 38? (a) 33 (b) 36 (c) 34 (d) 35
  2. 2.What is the average of all the whole numbers from 37 to 53? (a) 46 (b) 45 (c) 8 (d) 16
  3. 3.What is the average of 59, 58, 60 and 7? (a) 47 (b) 46 (c) 48 (d) 45
  4. 4.What is the average of 48, 34, 46 and 56? (a) 46 (b) 48 (c) 45 (d) 47
  5. 5.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 42 (b) 51 (c) 18 (d) 27
  6. 6.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 50 (b) 38 (c) 39 (d) 104
  7. 7.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 64 (b) 40 (c) 59 (d) 94
  8. 8.What is the average of all the whole numbers from 53 to 89? (a) 72 (b) 71 (c) 36 (d) 18
  9. 9.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 115 (b) 114 (c) 60 (d) 66
  10. 10.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 20 (b) 65 (c) 55 (d) 50
  11. 11.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 25 (b) 60 (c) 55 (d) 75
  12. 12.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 65 (b) 29 (c) 33 (d) 40
  13. 13.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) 16 (b) 33 (c) 31 (d) 45
  14. 14.What is the average of 69, 90, 85, 89, 62 and 61? (a) 77 (b) 76 (c) 78 (d) 75
  15. 15.What is the average of all the whole numbers from 7 to 33? (a) 26 (b) 21 (c) 13 (d) 20
  16. 16.What is the average of all the whole numbers from 23 to 41? (a) 9 (b) 32 (c) 33 (d) 18
  17. 17.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 37 (c) 31 (d) 10
  18. 18.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 10 (b) 24 (c) 13 (d) 21
  19. 19.What is the average of all the whole numbers from 17 to 25? (a) 4 (b) 8 (c) 21 (d) 22
  20. 20.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 37 (b) 55 (c) 34 (d) 24
  21. 21.What is the average of 35, 49, 48, 59, 55 and 30? (a) 46 (b) 48 (c) 45 (d) 47
  22. 22.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 27 (b) 3 (c) 4 (d) 12
  23. 23.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 36 (b) 57 (c) 8 (d) 29
  24. 24.What is the average of 40, 49, 37, 37, 48 and 83? (a) 49 (b) 50 (c) 51 (d) 48
  25. 25.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 37 (b) 72 (c) 45 (d) 10
  26. 26.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 10 (b) 15 (c) 9 (d) 31
  27. 27.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 15 (b) 49 (c) 58 (d) 46
  28. 28.What is the average of 41, 27, 28, 53 and 46? (a) 40 (b) 38 (c) 41 (d) 39
  29. 29.What is the average of 15, 30, 32, 19, 34 and 26? (a) 27 (b) 25 (c) 28 (d) 26
  30. 30.What is the average of 44, 63, 42 and 59? (a) 52 (b) 53 (c) 54 (d) 51
  31. 31.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 35 (b) 53 (c) 46 (d) 74
  32. 32.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 27? (a) 43 (b) 29 (c) 18 (d) 27
  33. 33.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 20 (b) 58 (c) 62 (d) 74
  34. 34.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 29? (a) 56 (b) 36 (c) 29 (d) 78
  35. 35.What is the average of all the whole numbers from 32 to 48? (a) 41 (b) 16 (c) 40 (d) 8
  36. 36.What is the average of 24, 17, 20, 26, 33 and 54? (a) 29 (b) 30 (c) 31 (d) 28
  37. 37.What is the average of 24, 31, 42 and 31? (a) 33 (b) 34 (c) 32 (d) 31
  38. 38.What is the average of all the whole numbers from 50 to 60? (a) 10 (b) 56 (c) 55 (d) 5
  39. 39.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 33 (b) 35 (c) 71 (d) 32
  40. 40.What is the average of all the whole numbers from 17 to 27? (a) 22 (b) 5 (c) 10 (d) 23

Answer key

  1. 34
  2. 45
  3. 46
  4. 46
  5. 42
  6. 38
  7. 94
  8. 71
  9. 114
  10. 65
  11. 75
  12. 65
  13. 45
  14. 76
  15. 20
  16. 32
  17. 37
  18. 21
  19. 21
  20. 55
  21. 46
  22. 3
  23. 36
  24. 49
  25. 45
  26. 9
  27. 58
  28. 39
  29. 26
  30. 52
  31. 74
  32. 43
  33. 74
  34. 78
  35. 40
  36. 29
  37. 32
  38. 55
  39. 32
  40. 22

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