← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 455 · 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 8 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 32 (b) 42 (c) 80 (d) 70
  2. 2.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 70 (b) 24 (c) 37 (d) 57
  3. 3.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 40? (a) 43 (b) 58 (c) 40 (d) 21
  4. 4.What is the average of all the whole numbers from 44 to 56? (a) 12 (b) 6 (c) 50 (d) 51
  5. 5.What is the average of all the whole numbers from 16 to 52? (a) 34 (b) 18 (c) 35 (d) 36
  6. 6.What is the average of 69, 65, 74, 86 and 76? (a) 73 (b) 75 (c) 76 (d) 74
  7. 7.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 63 (b) 39 (c) 8 (d) 32
  8. 8.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 30? (a) 30 (b) 58 (c) 35 (d) 37
  9. 9.What is the average of all the whole numbers from 39 to 51? (a) 46 (b) 6 (c) 45 (d) 12
  10. 10.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 65? (a) 60 (b) 119 (c) 65 (d) 71
  11. 11.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 21 (b) 33 (c) 30 (d) 48
  12. 12.What is the average of all the whole numbers from 18 to 50? (a) 34 (b) 16 (c) 32 (d) 35
  13. 13.What is the average of all the whole numbers from 14 to 22? (a) 18 (b) 4 (c) 19 (d) 8
  14. 14.What is the average of 30, 37, 51, 35 and 57? (a) 41 (b) 42 (c) 43 (d) 44
  15. 15.What is the average of 24, 19, 32 and 57? (a) 34 (b) 44 (c) 32 (d) 33
  16. 16.What is the average of all the whole numbers from 14 to 50? (a) 32 (b) 18 (c) 36 (d) 33
  17. 17.What is the average of 18, 30, 30 and 42? (a) 31 (b) 29 (c) 40 (d) 30
  18. 18.What is the average of all the whole numbers from 28 to 38? (a) 10 (b) 33 (c) 5 (d) 34
  19. 19.What is the average of 77, 85, 69 and 85? (a) 78 (b) 79 (c) 81 (d) 80
  20. 20.What is the average of 75, 83, 81, 63, 73 and 69? (a) 76 (b) 75 (c) 74 (d) 73
  21. 21.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 14 (b) 43 (c) 21 (d) 15
  22. 22.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 77 (b) 63 (c) 28 (d) 56
  23. 23.What is the average of all the whole numbers from 59 to 97? (a) 79 (b) 78 (c) 38 (d) 19
  24. 24.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 70 (b) 34 (c) 26 (d) 27
  25. 25.What is the average of all the whole numbers from 25 to 39? (a) 33 (b) 7 (c) 32 (d) 14
  26. 26.What is the average of all the whole numbers from 55 to 89? (a) 17 (b) 72 (c) 34 (d) 73
  27. 27.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 14 (c) 30 (d) 40
  28. 28.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 35 (b) 5 (c) 6 (d) 75
  29. 29.What is the average of 63, 52, 65, 75 and 70? (a) 66 (b) 67 (c) 64 (d) 65
  30. 30.What is the average of 43, 31, 25, 28, 23 and 78? (a) 37 (b) 40 (c) 39 (d) 38
  31. 31.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 50 (b) 27 (c) 28 (d) 51
  32. 32.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 62? (a) 90 (b) 32 (c) 66 (d) 62
  33. 33.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 51 (b) 24 (c) 33 (d) 30
  34. 34.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 17 (b) 10 (c) 28 (d) 21
  35. 35.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 15 (b) 22 (c) 29 (d) 8
  36. 36.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 72 (b) 126 (c) 62 (d) 70
  37. 37.What is the average of 53, 69, 77, 74, 71 and 28? (a) 63 (b) 64 (c) 62 (d) 61
  38. 38.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 77 (b) 35 (c) 29 (d) 54
  39. 39.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 72 (b) 28 (c) 62 (d) 38
  40. 40.What is the average of all the whole numbers from 56 to 94? (a) 76 (b) 19 (c) 75 (d) 38

Answer key

  1. 70
  2. 57
  3. 58
  4. 50
  5. 34
  6. 74
  7. 39
  8. 58
  9. 45
  10. 119
  11. 48
  12. 34
  13. 18
  14. 42
  15. 33
  16. 32
  17. 30
  18. 33
  19. 79
  20. 74
  21. 14
  22. 77
  23. 78
  24. 26
  25. 32
  26. 72
  27. 40
  28. 5
  29. 65
  30. 38
  31. 51
  32. 90
  33. 51
  34. 28
  35. 22
  36. 126
  37. 62
  38. 77
  39. 62
  40. 75

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