← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 134 · 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.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 14 (b) 30 (c) 3 (d) 2
  2. 2.What is the average of all the whole numbers from 60 to 96? (a) 79 (b) 18 (c) 36 (d) 78
  3. 3.What is the average of 32, 18, 17, 38 and 10? (a) 23 (b) 22 (c) 24 (d) 25
  4. 4.What is the average of 84, 87, 73, 86, 86 and 22? (a) 75 (b) 73 (c) 74 (d) 72
  5. 5.What is the average of all the whole numbers from 18 to 50? (a) 34 (b) 16 (c) 32 (d) 35
  6. 6.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 45 (b) 52 (c) 89 (d) 8
  7. 7.What is the average of all the whole numbers from 52 to 64? (a) 59 (b) 58 (c) 6 (d) 12
  8. 8.What is the average of 73, 60, 65, 70, 80 and 42? (a) 65 (b) 78 (c) 64 (d) 66
  9. 9.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 24 (b) 63 (c) 69 (d) 81
  10. 10.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 32 (b) 27 (c) 30 (d) 52
  11. 11.What is the average of all the whole numbers from 48 to 66? (a) 58 (b) 18 (c) 57 (d) 9
  12. 12.What is the average of all the whole numbers from 22 to 34? (a) 12 (b) 29 (c) 28 (d) 6
  13. 13.What is the average of all the whole numbers from 29 to 53? (a) 41 (b) 42 (c) 24 (d) 12
  14. 14.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 41 (b) 15 (c) 22 (d) 34
  15. 15.What is the average of all the whole numbers from 16 to 48? (a) 32 (b) 16 (c) 31 (d) 33
  16. 16.What is the average of 44, 43, 36, 56, 55 and 42? (a) 47 (b) 48 (c) 46 (d) 45
  17. 17.What is the average of all the whole numbers from 13 to 29? (a) 21 (b) 16 (c) 8 (d) 22
  18. 18.What is the average of all the whole numbers from 59 to 85? (a) 26 (b) 13 (c) 72 (d) 73
  19. 19.What is the average of all the whole numbers from 15 to 39? (a) 28 (b) 24 (c) 27 (d) 12
  20. 20.What is the average of 21, 38, 15 and 46? (a) 40 (b) 29 (c) 31 (d) 30
  21. 21.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 38 (b) 32 (c) 49 (d) 21
  22. 22.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 47 (b) 32 (c) 34 (d) 19
  23. 23.What is the average of 46, 63, 61, 56 and 24? (a) 51 (b) 50 (c) 52 (d) 49
  24. 24.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 35 (b) 33 (c) 63 (d) 38
  25. 25.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 35? (a) 35 (b) 107 (c) 43 (d) 80
  26. 26.What is the average of 26, 17, 8 and 41? (a) 23 (b) 24 (c) 25 (d) 22
  27. 27.What is the average of 31, 35, 19, 27, 9 and 5? (a) 20 (b) 23 (c) 21 (d) 22
  28. 28.What is the average of 57, 74, 52, 50 and 67? (a) 75 (b) 59 (c) 60 (d) 61
  29. 29.What is the average of 57, 42, 37 and 72? (a) 54 (b) 51 (c) 52 (d) 53
  30. 30.What is the average of 66, 83, 93 and 78? (a) 81 (b) 79 (c) 82 (d) 80
  31. 31.What is the average of 26, 26, 31 and 81? (a) 43 (b) 41 (c) 40 (d) 42
  32. 32.What is the average of all the whole numbers from 46 to 68? (a) 11 (b) 58 (c) 57 (d) 22
  33. 33.What is the average of 26, 10, 20, 18, 26 and 26? (a) 22 (b) 20 (c) 23 (d) 21
  34. 34.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 34? (a) 34 (b) 58 (c) 30 (d) 40
  35. 35.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 99 (b) 40 (c) 67 (d) 63
  36. 36.What is the average of 9, 35, 28, 37, 11 and 12? (a) 24 (b) 21 (c) 22 (d) 23
  37. 37.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 62 (b) 47 (c) 52 (d) 20
  38. 38.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 24 (b) 16 (c) 51 (d) 15
  39. 39.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 39 (c) 18 (d) 25
  40. 40.What is the average of all the whole numbers from 7 to 17? (a) 12 (b) 5 (c) 13 (d) 10

Answer key

  1. 2
  2. 78
  3. 23
  4. 73
  5. 34
  6. 52
  7. 58
  8. 65
  9. 81
  10. 52
  11. 57
  12. 28
  13. 41
  14. 34
  15. 32
  16. 46
  17. 21
  18. 72
  19. 27
  20. 30
  21. 49
  22. 47
  23. 50
  24. 63
  25. 107
  26. 23
  27. 21
  28. 60
  29. 52
  30. 80
  31. 41
  32. 57
  33. 21
  34. 58
  35. 99
  36. 22
  37. 62
  38. 15
  39. 39
  40. 12

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