← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 265 · 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 13 to 49? (a) 31 (b) 32 (c) 18 (d) 36
  2. 2.What is the average of all the whole numbers from 58 to 92? (a) 75 (b) 17 (c) 76 (d) 34
  3. 3.What is the average of all the whole numbers from 5 to 23? (a) 9 (b) 15 (c) 14 (d) 18
  4. 4.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 20 (b) 64 (c) 60 (d) 76
  5. 5.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 28? (a) 25 (b) 28 (c) 33 (d) 48
  6. 6.What is the average of 49, 45, 33, 22 and 36? (a) 39 (b) 36 (c) 38 (d) 37
  7. 7.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 33 (b) 49 (c) 20 (d) 31
  8. 8.What is the average of 58, 68, 69, 76, 60 and 59? (a) 64 (b) 66 (c) 78 (d) 65
  9. 9.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 21 (b) 59 (c) 41 (d) 79
  10. 10.What is the average of 39, 47, 25 and 21? (a) 44 (b) 33 (c) 34 (d) 32
  11. 11.What is the average of all the whole numbers from 5 to 15? (a) 10 (b) 5 (c) 9 (d) 11
  12. 12.What is the average of all the whole numbers from 54 to 64? (a) 59 (b) 5 (c) 60 (d) 10
  13. 13.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 45 (c) 70 (d) 105
  14. 14.What is the average of all the whole numbers from 19 to 43? (a) 24 (b) 32 (c) 12 (d) 31
  15. 15.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 22 (b) 33 (c) 6 (d) 17
  16. 16.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 13 (b) 69 (c) 12 (d) 32
  17. 17.What is the average of 41, 36, 32 and 75? (a) 46 (b) 48 (c) 45 (d) 47
  18. 18.What is the average of 24, 17, 37 and 46? (a) 32 (b) 30 (c) 33 (d) 31
  19. 19.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 10 (b) 45 (c) 9 (d) 21
  20. 20.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 28? (a) 31 (b) 30 (c) 28 (d) 55
  21. 21.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 58 (b) 64 (c) 55 (d) 12
  22. 22.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 21 (b) 38 (c) 37 (d) 20
  23. 23.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 54 (b) 33 (c) 40 (d) 19
  24. 24.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 33? (a) 39 (b) 60 (c) 33 (d) 87
  25. 25.What is the average of all the whole numbers from 53 to 81? (a) 14 (b) 28 (c) 67 (d) 68
  26. 26.What is the average of 38, 23, 29, 34 and 31? (a) 32 (b) 31 (c) 33 (d) 30
  27. 27.What is the average of all the whole numbers from 44 to 72? (a) 28 (b) 58 (c) 59 (d) 14
  28. 28.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 69 (b) 62 (c) 35 (d) 90
  29. 29.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 49 (c) 73 (d) 40
  30. 30.What is the average of all the whole numbers from 59 to 95? (a) 18 (b) 77 (c) 78 (d) 36
  31. 31.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 35 (b) 16 (c) 15 (d) 75
  32. 32.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 8 (b) 25 (c) 7 (d) 53
  33. 33.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 64 (b) 46 (c) 43 (d) 24
  34. 34.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 24 (b) 20 (c) 40 (d) 44
  35. 35.What is the average of all the whole numbers from 7 to 21? (a) 14 (b) 7 (c) 13 (d) 15
  36. 36.A batter has an average of 37 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 14 (b) 39 (c) 41 (d) 51
  37. 37.What is the average of 71, 75, 65, 86, 91 and 80? (a) 78 (b) 77 (c) 79 (d) 80
  38. 38.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 51 (b) 49 (c) 10 (d) 57
  39. 39.What is the average of 74, 84, 75 and 67? (a) 76 (b) 100 (c) 75 (d) 74
  40. 40.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 22 (b) 72 (c) 23 (d) 34

Answer key

  1. 31
  2. 75
  3. 14
  4. 76
  5. 48
  6. 37
  7. 49
  8. 65
  9. 59
  10. 33
  11. 10
  12. 59
  13. 105
  14. 31
  15. 22
  16. 12
  17. 46
  18. 31
  19. 9
  20. 55
  21. 64
  22. 37
  23. 54
  24. 87
  25. 67
  26. 31
  27. 58
  28. 90
  29. 73
  30. 77
  31. 15
  32. 7
  33. 64
  34. 40
  35. 14
  36. 51
  37. 78
  38. 57
  39. 75
  40. 22

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