← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 735 · 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 64, 50, 56 and 66? (a) 61 (b) 59 (c) 60 (d) 58
  2. 2.What is the average of all the whole numbers from 44 to 54? (a) 49 (b) 10 (c) 50 (d) 5
  3. 3.What is the average of all the whole numbers from 16 to 32? (a) 24 (b) 16 (c) 25 (d) 8
  4. 4.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 60 (b) 55 (c) 90 (d) 40
  5. 5.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 38? (a) 45 (b) 80 (c) 49 (d) 38
  6. 6.What is the average of all the whole numbers from 41 to 81? (a) 20 (b) 61 (c) 62 (d) 40
  7. 7.What is the average of all the whole numbers from 17 to 37? (a) 20 (b) 28 (c) 10 (d) 27
  8. 8.What is the average of all the whole numbers from 54 to 66? (a) 61 (b) 12 (c) 6 (d) 60
  9. 9.What is the average of 43, 36, 20 and 21? (a) 29 (b) 31 (c) 40 (d) 30
  10. 10.What is the average of 72, 58, 49, 59 and 67? (a) 61 (b) 62 (c) 60 (d) 63
  11. 11.What is the average of all the whole numbers from 39 to 61? (a) 51 (b) 22 (c) 50 (d) 11
  12. 12.What is the average of 30, 49, 50, 41, 38 and 8? (a) 35 (b) 38 (c) 36 (d) 37
  13. 13.What is the average of 55, 74, 60, 79, 68 and 84? (a) 70 (b) 71 (c) 84 (d) 69
  14. 14.What is the average of 20, 28, 17, 32 and 13? (a) 23 (b) 21 (c) 24 (d) 22
  15. 15.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 42 (b) 22 (c) 16 (d) 36
  16. 16.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 49 (b) 30 (c) 72 (d) 37
  17. 17.What is the average of 34, 40, 57, 41, 45 and 53? (a) 45 (b) 44 (c) 54 (d) 46
  18. 18.What is the average of 75, 72, 56, 75 and 72? (a) 72 (b) 70 (c) 71 (d) 69
  19. 19.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 66 (b) 48 (c) 34 (d) 16
  20. 20.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 4 (b) 42 (c) 77 (d) 39
  21. 21.What is the average of all the whole numbers from 21 to 53? (a) 32 (b) 38 (c) 37 (d) 16
  22. 22.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 64? (a) 68 (b) 20 (c) 64 (d) 80
  23. 23.What is the average of 26, 35, 24 and 47? (a) 44 (b) 32 (c) 33 (d) 34
  24. 24.What is the average of all the whole numbers from 12 to 46? (a) 30 (b) 29 (c) 17 (d) 34
  25. 25.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 4 (b) 35 (c) 69 (d) 38
  26. 26.What is the average of 42, 68, 42 and 68? (a) 57 (b) 55 (c) 56 (d) 54
  27. 27.What is the average of 45, 60, 39, 64 and 52? (a) 53 (b) 52 (c) 51 (d) 65
  28. 28.What is the average of all the whole numbers from 21 to 37? (a) 8 (b) 16 (c) 30 (d) 29
  29. 29.What is the average of 72, 60, 46, 48 and 74? (a) 61 (b) 59 (c) 60 (d) 75
  30. 30.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 11 (b) 16 (c) 21 (d) 6
  31. 31.What is the average of 19, 23, 12, 34, 31 and 13? (a) 23 (b) 22 (c) 24 (d) 21
  32. 32.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 23 (b) 38 (c) 22 (d) 80
  33. 33.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 22 (c) 29 (d) 13
  34. 34.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 55 (b) 24 (c) 49 (d) 67
  35. 35.What is the average of 27, 29, 46 and 50? (a) 37 (b) 39 (c) 40 (d) 38
  36. 36.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 13 (b) 1 (c) 29 (d) 2
  37. 37.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 57 (b) 30 (c) 33 (d) 58
  38. 38.What is the average of 68, 60, 72 and 92? (a) 75 (b) 73 (c) 72 (d) 74
  39. 39.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 3 (b) 11 (c) 4 (d) 24
  40. 40.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 39 (b) 63 (c) 30 (d) 36

Answer key

  1. 59
  2. 49
  3. 24
  4. 90
  5. 80
  6. 61
  7. 27
  8. 60
  9. 30
  10. 61
  11. 50
  12. 36
  13. 70
  14. 22
  15. 36
  16. 72
  17. 45
  18. 70
  19. 48
  20. 42
  21. 37
  22. 80
  23. 33
  24. 29
  25. 38
  26. 55
  27. 52
  28. 29
  29. 60
  30. 16
  31. 22
  32. 22
  33. 29
  34. 67
  35. 38
  36. 1
  37. 57
  38. 73
  39. 3
  40. 63

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