← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 752 · 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.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 40 (b) 46 (c) 37 (d) 12
  2. 2.What is the average of 54, 35, 35, 50 and 41? (a) 44 (b) 45 (c) 43 (d) 42
  3. 3.What is the average of 53, 42, 34, 35, 37 and 45? (a) 40 (b) 43 (c) 41 (d) 42
  4. 4.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 36 (c) 87 (d) 59
  5. 5.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 111 (b) 63 (c) 60 (d) 57
  6. 6.What is the average of 36, 44, 29 and 43? (a) 39 (b) 38 (c) 40 (d) 37
  7. 7.What is the average of all the whole numbers from 59 to 93? (a) 77 (b) 34 (c) 76 (d) 17
  8. 8.What is the average of 15, 25, 14, 15, 16 and 83? (a) 29 (b) 28 (c) 30 (d) 27
  9. 9.What is the average of all the whole numbers from 50 to 72? (a) 22 (b) 62 (c) 61 (d) 11
  10. 10.What is the average of 87, 80, 74, 77 and 57? (a) 77 (b) 75 (c) 76 (d) 74
  11. 11.What is the average of all the whole numbers from 60 to 98? (a) 38 (b) 19 (c) 80 (d) 79
  12. 12.What is the average of all the whole numbers from 7 to 21? (a) 7 (b) 13 (c) 15 (d) 14
  13. 13.What is the average of 30, 30, 20, 46, 43 and 29? (a) 35 (b) 33 (c) 34 (d) 32
  14. 14.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 75 (b) 54 (c) 27 (d) 33
  15. 15.What is the average of all the whole numbers from 23 to 53? (a) 38 (b) 30 (c) 15 (d) 39
  16. 16.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 43? (a) 43 (b) 51 (c) 72 (d) 107
  17. 17.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 37 (b) 25 (c) 47 (d) 15
  18. 18.What is the average of 52, 54, 47, 41, 48 and 52? (a) 51 (b) 48 (c) 50 (d) 49
  19. 19.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 41 (b) 57 (c) 32 (d) 33
  20. 20.What is the average of all the whole numbers from 32 to 66? (a) 50 (b) 17 (c) 49 (d) 34
  21. 21.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 112 (b) 60 (c) 64 (d) 58
  22. 22.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 65? (a) 36 (b) 65 (c) 71 (d) 95
  23. 23.What is the average of 50, 60, 38, 64 and 38? (a) 49 (b) 50 (c) 52 (d) 51
  24. 24.What is the average of all the whole numbers from 48 to 64? (a) 57 (b) 56 (c) 8 (d) 16
  25. 25.What is the average of 39, 57, 43, 48, 50 and 87? (a) 53 (b) 56 (c) 55 (d) 54
  26. 26.What is the average of 37, 64, 58, 57 and 34? (a) 51 (b) 49 (c) 50 (d) 52
  27. 27.What is the average of 25, 28, 5 and 22? (a) 21 (b) 19 (c) 22 (d) 20
  28. 28.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 63 (b) 36 (c) 85 (d) 29
  29. 29.What is the average of 18, 35, 40, 26, 33 and 34? (a) 33 (b) 30 (c) 31 (d) 32
  30. 30.What is the average of all the whole numbers from 22 to 58? (a) 41 (b) 40 (c) 36 (d) 18
  31. 31.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 44 (c) 60 (d) 24
  32. 32.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 47 (b) 48 (c) 79 (d) 39
  33. 33.What is the average of all the whole numbers from 13 to 47? (a) 31 (b) 30 (c) 17 (d) 34
  34. 34.What is the average of 19, 25, 26, 20 and 65? (a) 31 (b) 32 (c) 30 (d) 33
  35. 35.What is the average of 44, 50, 44, 48 and 99? (a) 56 (b) 58 (c) 57 (d) 59
  36. 36.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 11 (b) 27 (c) 10 (d) 13
  37. 37.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 56 (b) 19 (c) 27 (d) 20
  38. 38.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 47 (b) 97 (c) 26 (d) 27
  39. 39.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 35? (a) 64 (b) 43 (c) 35 (d) 91
  40. 40.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 4 (b) 5 (c) 68 (d) 32

Answer key

  1. 46
  2. 43
  3. 41
  4. 87
  5. 111
  6. 38
  7. 76
  8. 28
  9. 61
  10. 75
  11. 79
  12. 14
  13. 33
  14. 75
  15. 38
  16. 107
  17. 37
  18. 49
  19. 57
  20. 49
  21. 112
  22. 95
  23. 50
  24. 56
  25. 54
  26. 50
  27. 20
  28. 85
  29. 31
  30. 40
  31. 60
  32. 79
  33. 30
  34. 31
  35. 57
  36. 10
  37. 19
  38. 26
  39. 91
  40. 4

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