← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 993 · 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 29, 34, 44, 43 and 20? (a) 34 (b) 35 (c) 36 (d) 33
  2. 2.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) 55 (c) 31 (d) 34
  3. 3.What is the average of 6, 9, 13, 15 and 62? (a) 22 (b) 21 (c) 23 (d) 20
  4. 4.What is the average of all the whole numbers from 8 to 24? (a) 17 (b) 8 (c) 16 (d) 15
  5. 5.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 15 (c) 57 (d) 48
  6. 6.What is the average of all the whole numbers from 39 to 57? (a) 48 (b) 9 (c) 49 (d) 18
  7. 7.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 39 (b) 22 (c) 25 (d) 42
  8. 8.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 68 (c) 42 (d) 96
  9. 9.What is the average of 63, 64, 60, 69 and 24? (a) 70 (b) 56 (c) 55 (d) 57
  10. 10.What is the average of 35, 14, 29, 31, 13 and 40? (a) 27 (b) 26 (c) 28 (d) 29
  11. 11.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 25 (b) 78 (c) 38 (d) 24
  12. 12.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 32 (c) 78 (d) 62
  13. 13.What is the average of all the whole numbers from 56 to 72? (a) 16 (b) 8 (c) 64 (d) 65
  14. 14.What is the average of 44, 57, 56, 58, 40 and 57? (a) 53 (b) 51 (c) 52 (d) 54
  15. 15.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 62 (b) 60 (c) 16 (d) 74
  16. 16.What is the average of 51, 44, 59, 60, 41 and 57? (a) 51 (b) 52 (c) 54 (d) 53
  17. 17.What is the average of 85, 61, 77, 78 and 54? (a) 72 (b) 73 (c) 71 (d) 70
  18. 18.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 35 (b) 51 (c) 20 (d) 50
  19. 19.What is the average of all the whole numbers from 34 to 72? (a) 19 (b) 53 (c) 54 (d) 38
  20. 20.What is the average of all the whole numbers from 48 to 72? (a) 61 (b) 60 (c) 24 (d) 12
  21. 21.What is the average of all the whole numbers from 28 to 38? (a) 33 (b) 34 (c) 5 (d) 10
  22. 22.What is the average of 39, 37, 25, 14 and 5? (a) 24 (b) 30 (c) 23 (d) 25
  23. 23.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 16 (b) 27 (c) 51 (d) 40
  24. 24.What is the average of 61, 65, 67, 77, 55 and 77? (a) 68 (b) 67 (c) 69 (d) 66
  25. 25.What is the average of 51, 74, 60 and 55? (a) 80 (b) 61 (c) 60 (d) 59
  26. 26.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 40 (b) 30 (c) 55 (d) 65
  27. 27.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 8 (b) 15 (c) 31 (d) 9
  28. 28.What is the average of 8, 16, 13, 10 and 63? (a) 23 (b) 21 (c) 22 (d) 24
  29. 29.What is the average of all the whole numbers from 53 to 69? (a) 62 (b) 8 (c) 61 (d) 16
  30. 30.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 42 (c) 20 (d) 23
  31. 31.What is the average of 43, 35, 27, 57, 36 and 54? (a) 43 (b) 42 (c) 41 (d) 44
  32. 32.What is the average of all the whole numbers from 21 to 51? (a) 15 (b) 30 (c) 37 (d) 36
  33. 33.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 53 (c) 60 (d) 101
  34. 34.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 44? (a) 25 (b) 49 (c) 44 (d) 64
  35. 35.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 29 (b) 37 (c) 77 (d) 28
  36. 36.What is the average of 72, 61, 74 and 57? (a) 88 (b) 65 (c) 66 (d) 67
  37. 37.What is the average of all the whole numbers from 14 to 32? (a) 18 (b) 9 (c) 24 (d) 23
  38. 38.What is the average of 67, 83, 56 and 78? (a) 71 (b) 73 (c) 70 (d) 72
  39. 39.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 24 (b) 54 (c) 60 (d) 72
  40. 40.What is the average of all the whole numbers from 48 to 56? (a) 8 (b) 4 (c) 53 (d) 52

Answer key

  1. 34
  2. 55
  3. 21
  4. 16
  5. 57
  6. 48
  7. 42
  8. 96
  9. 56
  10. 27
  11. 24
  12. 78
  13. 64
  14. 52
  15. 74
  16. 52
  17. 71
  18. 50
  19. 53
  20. 60
  21. 33
  22. 24
  23. 51
  24. 67
  25. 60
  26. 65
  27. 8
  28. 22
  29. 61
  30. 39
  31. 42
  32. 36
  33. 101
  34. 64
  35. 28
  36. 66
  37. 23
  38. 71
  39. 72
  40. 52

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