← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 447 · 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 all the whole numbers from 8 to 38? (a) 30 (b) 24 (c) 23 (d) 15
  2. 2.What is the average of all the whole numbers from 58 to 84? (a) 13 (b) 26 (c) 71 (d) 72
  3. 3.What is the average of 77, 76, 71, 85, 60 and 75? (a) 75 (b) 74 (c) 73 (d) 76
  4. 4.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 95 (b) 59 (c) 48 (d) 53
  5. 5.What is the average of all the whole numbers from 23 to 59? (a) 36 (b) 18 (c) 41 (d) 42
  6. 6.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 17 (b) 21 (c) 11 (d) 7
  7. 7.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 8 (b) 58 (c) 36 (d) 30
  8. 8.What is the average of all the whole numbers from 55 to 85? (a) 30 (b) 71 (c) 70 (d) 15
  9. 9.What is the average of 28, 30, 35, 58 and 64? (a) 45 (b) 42 (c) 44 (d) 43
  10. 10.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 67? (a) 75 (b) 72 (c) 67 (d) 131
  11. 11.What is the average of all the whole numbers from 55 to 75? (a) 20 (b) 66 (c) 10 (d) 65
  12. 12.What is the average of all the whole numbers from 8 to 28? (a) 18 (b) 20 (c) 10 (d) 19
  13. 13.What is the average of 85, 74, 88 and 45? (a) 73 (b) 72 (c) 74 (d) 75
  14. 14.What is the average of all the whole numbers from 17 to 31? (a) 25 (b) 14 (c) 7 (d) 24
  15. 15.What is the average of 58, 81, 55, 82, 56 and 82? (a) 70 (b) 68 (c) 69 (d) 71
  16. 16.What is the average of 67, 87, 63 and 83? (a) 100 (b) 76 (c) 75 (d) 74
  17. 17.What is the average of 34, 37, 27, 23 and 9? (a) 28 (b) 27 (c) 26 (d) 25
  18. 18.What is the average of 21, 17, 28 and 54? (a) 31 (b) 40 (c) 29 (d) 30
  19. 19.What is the average of 13, 32, 37, 13 and 25? (a) 24 (b) 25 (c) 30 (d) 23
  20. 20.What is the average of 70, 78, 64 and 80? (a) 75 (b) 73 (c) 74 (d) 72
  21. 21.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 61 (b) 18 (c) 58 (d) 73
  22. 22.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 20 (b) 63 (c) 49 (d) 34
  23. 23.What is the average of all the whole numbers from 14 to 48? (a) 17 (b) 32 (c) 34 (d) 31
  24. 24.What is the average of 41, 52, 63, 68, 45 and 67? (a) 57 (b) 56 (c) 58 (d) 55
  25. 25.What is the average of 44, 38, 22, 28 and 18? (a) 31 (b) 29 (c) 32 (d) 30
  26. 26.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 86 (b) 58 (c) 32 (d) 62
  27. 27.What is the average of all the whole numbers from 37 to 45? (a) 8 (b) 4 (c) 41 (d) 42
  28. 28.What is the average of 46, 54, 55 and 17? (a) 42 (b) 45 (c) 43 (d) 44
  29. 29.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 60 (c) 30 (d) 42
  30. 30.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 6 (b) 30 (c) 7 (d) 14
  31. 31.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 34 (b) 42 (c) 86 (d) 35
  32. 32.What is the average of 79, 64, 57, 65 and 70? (a) 69 (b) 66 (c) 67 (d) 68
  33. 33.What is the average of 37, 31, 14, 17 and 36? (a) 28 (b) 26 (c) 29 (d) 27
  34. 34.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 25 (b) 30 (c) 15 (d) 20
  35. 35.What is the average of all the whole numbers from 60 to 96? (a) 79 (b) 18 (c) 78 (d) 36
  36. 36.What is the average of 50, 58, 71, 64 and 72? (a) 62 (b) 65 (c) 64 (d) 63
  37. 37.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 15 (b) 40 (c) 37 (d) 49
  38. 38.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 45 (b) 80 (c) 81 (d) 40
  39. 39.What is the average of all the whole numbers from 59 to 91? (a) 76 (b) 75 (c) 16 (d) 32
  40. 40.What is the average of all the whole numbers from 9 to 21? (a) 12 (b) 16 (c) 6 (d) 15

Answer key

  1. 23
  2. 71
  3. 74
  4. 95
  5. 41
  6. 17
  7. 36
  8. 70
  9. 43
  10. 131
  11. 65
  12. 18
  13. 73
  14. 24
  15. 69
  16. 75
  17. 26
  18. 30
  19. 24
  20. 73
  21. 73
  22. 49
  23. 31
  24. 56
  25. 30
  26. 86
  27. 41
  28. 43
  29. 60
  30. 6
  31. 34
  32. 67
  33. 27
  34. 30
  35. 78
  36. 63
  37. 49
  38. 80
  39. 75
  40. 15

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