← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 474 · 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 19, 30, 34 and 1? (a) 22 (b) 28 (c) 20 (d) 21
  2. 2.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 17 (b) 5 (c) 13 (d) 25
  3. 3.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 12 (b) 37 (c) 53 (d) 28
  4. 4.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 56 (c) 27 (d) 32
  5. 5.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 84 (b) 36 (c) 28 (d) 64
  6. 6.What is the average of all the whole numbers from 45 to 69? (a) 58 (b) 12 (c) 57 (d) 24
  7. 7.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 20 (b) 59 (c) 82 (d) 43
  8. 8.What is the average of 18, 38, 21 and 51? (a) 31 (b) 34 (c) 33 (d) 32
  9. 9.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 68 (b) 60 (c) 40 (d) 92
  10. 10.What is the average of all the whole numbers from 17 to 31? (a) 25 (b) 7 (c) 14 (d) 24
  11. 11.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 15 (b) 18 (c) 33 (d) 30
  12. 12.What is the average of all the whole numbers from 16 to 26? (a) 10 (b) 22 (c) 5 (d) 21
  13. 13.What is the average of all the whole numbers from 55 to 89? (a) 34 (b) 17 (c) 72 (d) 73
  14. 14.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 22? (a) 24 (b) 22 (c) 14 (d) 34
  15. 15.What is the average of 63, 53, 62, 64 and 23? (a) 54 (b) 52 (c) 55 (d) 53
  16. 16.What is the average of all the whole numbers from 10 to 46? (a) 36 (b) 29 (c) 18 (d) 28
  17. 17.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 26 (b) 2 (c) 1 (d) 57
  18. 18.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 50 (c) 24 (d) 32
  19. 19.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 13 (b) 25 (c) 54 (d) 14
  20. 20.What is the average of 42, 20, 41 and 25? (a) 31 (b) 32 (c) 34 (d) 33
  21. 21.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 40 (b) 44 (c) 89 (d) 39
  22. 22.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 26 (b) 85 (c) 40 (d) 25
  23. 23.What is the average of 61, 51, 41, 37, 35 and 63? (a) 50 (b) 47 (c) 48 (d) 49
  24. 24.What is the average of 60, 63, 77, 73 and 97? (a) 74 (b) 75 (c) 73 (d) 76
  25. 25.What is the average of all the whole numbers from 8 to 44? (a) 26 (b) 36 (c) 27 (d) 18
  26. 26.What is the average of all the whole numbers from 11 to 29? (a) 21 (b) 9 (c) 18 (d) 20
  27. 27.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 9 (b) 55 (c) 8 (d) 26
  28. 28.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 12 (b) 37 (c) 20 (d) 29
  29. 29.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 51 (c) 12 (d) 43
  30. 30.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 80 (b) 32 (c) 40 (d) 104
  31. 31.What is the average of all the whole numbers from 27 to 37? (a) 10 (b) 33 (c) 32 (d) 5
  32. 32.What is the average of 75, 75, 72, 73 and 95? (a) 77 (b) 79 (c) 78 (d) 80
  33. 33.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 31 (b) 35 (c) 57 (d) 61
  34. 34.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 65 (b) 59 (c) 54 (d) 107
  35. 35.What is the average of 27, 32, 32, 18 and 11? (a) 24 (b) 23 (c) 25 (d) 30
  36. 36.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 8 (b) 42 (c) 9 (d) 20
  37. 37.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 39 (b) 52 (c) 35 (d) 22
  38. 38.What is the average of all the whole numbers from 36 to 56? (a) 46 (b) 10 (c) 47 (d) 20
  39. 39.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 63 (b) 59 (c) 66 (d) 115
  40. 40.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 56 (b) 44 (c) 16 (d) 84

Answer key

  1. 21
  2. 17
  3. 37
  4. 56
  5. 84
  6. 57
  7. 59
  8. 32
  9. 92
  10. 24
  11. 30
  12. 21
  13. 72
  14. 34
  15. 53
  16. 28
  17. 1
  18. 50
  19. 13
  20. 32
  21. 39
  22. 25
  23. 48
  24. 74
  25. 26
  26. 20
  27. 8
  28. 29
  29. 51
  30. 104
  31. 32
  32. 78
  33. 61
  34. 107
  35. 24
  36. 8
  37. 52
  38. 46
  39. 115
  40. 56

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