← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 923 · 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 5 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 35 (b) 15 (c) 67 (d) 47
  2. 2.What is the average of all the whole numbers from 22 to 52? (a) 38 (b) 37 (c) 15 (d) 30
  3. 3.What is the average of all the whole numbers from 12 to 20? (a) 8 (b) 17 (c) 4 (d) 16
  4. 4.What is the average of 54, 50, 53, 58 and 70? (a) 57 (b) 59 (c) 58 (d) 56
  5. 5.What is the average of 38, 61, 41, 61, 51 and 60? (a) 52 (b) 53 (c) 54 (d) 51
  6. 6.What is the average of all the whole numbers from 18 to 40? (a) 11 (b) 30 (c) 22 (d) 29
  7. 7.What is the average of 65, 70, 83, 75, 86 and 53? (a) 74 (b) 71 (c) 72 (d) 73
  8. 8.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 43 (b) 4 (c) 22 (d) 25
  9. 9.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) 6 (b) 33 (c) 22 (d) 17
  10. 10.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 28 (b) 26 (c) 48 (d) 50
  11. 11.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 87 (b) 41 (c) 12 (d) 11
  12. 12.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 65? (a) 70 (b) 65 (c) 85 (d) 25
  13. 13.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 67 (b) 24 (c) 51 (d) 47
  14. 14.What is the average of all the whole numbers from 15 to 37? (a) 11 (b) 26 (c) 27 (d) 22
  15. 15.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 52? (a) 52 (b) 24 (c) 70 (d) 58
  16. 16.What is the average of 66, 67, 78, 91 and 98? (a) 79 (b) 80 (c) 81 (d) 100
  17. 17.What is the average of all the whole numbers from 20 to 54? (a) 17 (b) 34 (c) 37 (d) 38
  18. 18.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 75 (b) 40 (c) 45 (d) 35
  19. 19.What is the average of 50, 47, 28, 40 and 40? (a) 41 (b) 40 (c) 43 (d) 42
  20. 20.What is the average of all the whole numbers from 32 to 62? (a) 48 (b) 15 (c) 47 (d) 30
  21. 21.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 44 (b) 36 (c) 37 (d) 90
  22. 22.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 50 (c) 103 (d) 63
  23. 23.What is the average of 37, 57, 40 and 62? (a) 48 (b) 51 (c) 50 (d) 49
  24. 24.What is the average of 43, 17, 25, 26, 42 and 39? (a) 33 (b) 32 (c) 34 (d) 31
  25. 25.What is the average of 60, 33, 33, 33, 50 and 79? (a) 50 (b) 47 (c) 48 (d) 49
  26. 26.What is the average of 31, 31, 29, 28, 35 and 32? (a) 32 (b) 33 (c) 31 (d) 30
  27. 27.What is the average of all the whole numbers from 47 to 83? (a) 66 (b) 18 (c) 36 (d) 65
  28. 28.What is the average of 50, 22, 32, 46, 38 and 22? (a) 35 (b) 36 (c) 42 (d) 34
  29. 29.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 54 (c) 40 (d) 28
  30. 30.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 53 (b) 50 (c) 65 (d) 18
  31. 31.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 13 (b) 12 (c) 18 (d) 37
  32. 32.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 68 (b) 24 (c) 91 (d) 47
  33. 33.What is the average of 53, 62, 75, 68, 77 and 61? (a) 67 (b) 66 (c) 65 (d) 68
  34. 34.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 52 (b) 40 (c) 37 (d) 18
  35. 35.What is the average of all the whole numbers from 58 to 84? (a) 26 (b) 13 (c) 71 (d) 72
  36. 36.What is the average of 47, 43, 56, 49 and 65? (a) 51 (b) 65 (c) 53 (d) 52
  37. 37.What is the average of 56, 47, 51 and 38? (a) 47 (b) 49 (c) 48 (d) 64
  38. 38.What is the average of all the whole numbers from 43 to 67? (a) 24 (b) 55 (c) 12 (d) 56
  39. 39.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 57 (b) 19 (c) 18 (d) 27
  40. 40.What is the average of all the whole numbers from 36 to 44? (a) 41 (b) 8 (c) 4 (d) 40

Answer key

  1. 47
  2. 37
  3. 16
  4. 57
  5. 52
  6. 29
  7. 72
  8. 25
  9. 22
  10. 50
  11. 11
  12. 85
  13. 67
  14. 26
  15. 70
  16. 80
  17. 37
  18. 75
  19. 41
  20. 47
  21. 36
  22. 103
  23. 49
  24. 32
  25. 48
  26. 31
  27. 65
  28. 35
  29. 54
  30. 65
  31. 12
  32. 68
  33. 66
  34. 52
  35. 71
  36. 52
  37. 48
  38. 55
  39. 18
  40. 40

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