← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 303 · 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 4 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 37 (b) 36 (c) 48 (d) 100
  2. 2.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 81 (b) 30 (c) 57 (d) 63
  3. 3.What is the average of 33, 26, 33 and 36? (a) 32 (b) 34 (c) 31 (d) 33
  4. 4.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 6 (b) 12 (c) 26 (d) 7
  5. 5.What is the average of all the whole numbers from 13 to 29? (a) 16 (b) 21 (c) 22 (d) 8
  6. 6.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 14 (b) 13 (c) 78 (d) 37
  7. 7.What is the average of all the whole numbers from 20 to 38? (a) 9 (b) 18 (c) 29 (d) 30
  8. 8.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 40 (c) 10 (d) 46
  9. 9.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 41 (b) 7 (c) 27 (d) 21
  10. 10.What is the average of all the whole numbers from 55 to 85? (a) 70 (b) 71 (c) 15 (d) 30
  11. 11.What is the average of 67, 59, 51, 56, 70 and 33? (a) 58 (b) 55 (c) 57 (d) 56
  12. 12.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 20 (b) 42 (c) 57 (d) 47
  13. 13.What is the average of 36, 27, 25, 38, 36 and 78? (a) 48 (b) 41 (c) 40 (d) 39
  14. 14.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 55? (a) 20 (b) 73 (c) 55 (d) 57
  15. 15.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 65 (b) 33 (c) 7 (d) 39
  16. 16.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 74 (b) 35 (c) 8 (d) 7
  17. 17.What is the average of 75, 72, 89, 70 and 84? (a) 79 (b) 78 (c) 77 (d) 80
  18. 18.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 23 (b) 12 (c) 32 (d) 43
  19. 19.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 53 (c) 83 (d) 40
  20. 20.What is the average of 41, 50, 61 and 60? (a) 52 (b) 54 (c) 55 (d) 53
  21. 21.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 35 (b) 53 (c) 23 (d) 41
  22. 22.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 47? (a) 87 (b) 55 (c) 47 (d) 48
  23. 23.What is the average of 70, 61, 75 and 54? (a) 64 (b) 67 (c) 65 (d) 66
  24. 24.What is the average of all the whole numbers from 53 to 81? (a) 14 (b) 67 (c) 28 (d) 68
  25. 25.What is the average of 56, 34, 35, 47, 40 and 58? (a) 54 (b) 45 (c) 46 (d) 44
  26. 26.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) 91 (b) 47 (c) 24 (d) 68
  27. 27.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 4 (b) 31 (c) 16 (d) 19
  28. 28.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 6 (b) 44 (c) 49 (d) 87
  29. 29.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 57? (a) 57 (b) 32 (c) 81 (d) 65
  30. 30.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 74 (b) 15 (c) 16 (d) 35
  31. 31.What is the average of all the whole numbers from 46 to 56? (a) 5 (b) 51 (c) 10 (d) 52
  32. 32.What is the average of 24, 25, 10 and 37? (a) 32 (b) 24 (c) 25 (d) 23
  33. 33.What is the average of 84, 68, 64, 70 and 109? (a) 81 (b) 78 (c) 79 (d) 80
  34. 34.What is the average of 72, 74, 55, 51, 63 and 57? (a) 62 (b) 64 (c) 61 (d) 63
  35. 35.What is the average of all the whole numbers from 25 to 53? (a) 28 (b) 40 (c) 39 (d) 14
  36. 36.What is the average of 82, 79, 65, 78, 53 and 51? (a) 68 (b) 69 (c) 67 (d) 70
  37. 37.What is the average of 43, 53, 48, 46 and 80? (a) 54 (b) 53 (c) 55 (d) 56
  38. 38.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 62? (a) 62 (b) 20 (c) 77 (d) 67
  39. 39.What is the average of 9, 14, 11, 32, 34 and 44? (a) 23 (b) 26 (c) 24 (d) 25
  40. 40.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 50 (c) 86 (d) 46

Answer key

  1. 36
  2. 81
  3. 32
  4. 6
  5. 21
  6. 13
  7. 29
  8. 46
  9. 27
  10. 70
  11. 56
  12. 57
  13. 40
  14. 73
  15. 39
  16. 7
  17. 78
  18. 32
  19. 83
  20. 53
  21. 53
  22. 87
  23. 65
  24. 67
  25. 45
  26. 68
  27. 19
  28. 49
  29. 81
  30. 15
  31. 51
  32. 24
  33. 79
  34. 62
  35. 39
  36. 68
  37. 54
  38. 77
  39. 24
  40. 86

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