← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 385 · 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 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 36 (b) 21 (c) 33 (d) 51
  2. 2.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 54 (b) 53 (c) 95 (d) 47
  3. 3.What is the average of 55, 39, 44, 34, 44 and 66? (a) 48 (b) 46 (c) 47 (d) 49
  4. 4.What is the average of all the whole numbers from 13 to 31? (a) 23 (b) 22 (c) 9 (d) 18
  5. 5.What is the average of all the whole numbers from 26 to 34? (a) 31 (b) 8 (c) 30 (d) 4
  6. 6.What is the average of all the whole numbers from 20 to 60? (a) 40 (b) 20 (c) 41 (d) 39
  7. 7.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 42 (b) 32 (c) 38 (d) 66
  8. 8.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 51 (c) 16 (d) 39
  9. 9.What is the average of all the whole numbers from 52 to 80? (a) 67 (b) 66 (c) 14 (d) 28
  10. 10.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 64 (b) 50 (c) 98 (d) 42
  11. 11.What is the average of all the whole numbers from 55 to 77? (a) 11 (b) 66 (c) 22 (d) 67
  12. 12.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 34 (b) 16 (c) 11 (d) 10
  13. 13.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 27? (a) 59 (b) 31 (c) 36 (d) 27
  14. 14.What is the average of 63, 54, 65 and 34? (a) 72 (b) 54 (c) 53 (d) 55
  15. 15.What is the average of all the whole numbers from 56 to 76? (a) 20 (b) 66 (c) 10 (d) 67
  16. 16.What is the average of 81, 68, 54 and 61? (a) 67 (b) 66 (c) 88 (d) 65
  17. 17.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 21 (b) 5 (c) 4 (d) 10
  18. 18.What is the average of all the whole numbers from 5 to 31? (a) 13 (b) 19 (c) 26 (d) 18
  19. 19.What is the average of all the whole numbers from 13 to 19? (a) 16 (b) 17 (c) 3 (d) 6
  20. 20.What is the average of 71, 52, 61, 51, 54 and 71? (a) 61 (b) 60 (c) 59 (d) 72
  21. 21.What is the average of 14, 17, 24 and 29? (a) 21 (b) 20 (c) 22 (d) 28
  22. 22.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 24 (b) 31 (c) 51 (d) 58
  23. 23.What is the average of all the whole numbers from 21 to 35? (a) 28 (b) 14 (c) 7 (d) 29
  24. 24.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 18 (c) 50 (d) 35
  25. 25.What is the average of 44, 69, 60, 56, 45 and 74? (a) 60 (b) 57 (c) 58 (d) 59
  26. 26.What is the average of all the whole numbers from 22 to 28? (a) 3 (b) 26 (c) 6 (d) 25
  27. 27.What is the average of 53, 49, 41, 39 and 83? (a) 52 (b) 53 (c) 55 (d) 54
  28. 28.What is the average of 72, 89, 84, 60 and 65? (a) 73 (b) 74 (c) 76 (d) 75
  29. 29.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 49 (b) 101 (c) 41 (d) 40
  30. 30.What is the average of all the whole numbers from 28 to 44? (a) 8 (b) 37 (c) 16 (d) 36
  31. 31.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 42 (b) 79 (c) 44 (d) 51
  32. 32.What is the average of all the whole numbers from 20 to 44? (a) 12 (b) 24 (c) 32 (d) 33
  33. 33.What is the average of all the whole numbers from 12 to 36? (a) 24 (b) 23 (c) 25 (d) 12
  34. 34.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 40 (b) 45 (c) 53 (d) 77
  35. 35.What is the average of 61, 37, 47 and 55? (a) 52 (b) 51 (c) 49 (d) 50
  36. 36.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) 34 (b) 14 (c) 24 (d) 22
  37. 37.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 53 (b) 18 (c) 65 (d) 50
  38. 38.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) 27 (b) 34 (c) 26 (d) 70
  39. 39.What is the average of all the whole numbers from 43 to 59? (a) 16 (b) 8 (c) 51 (d) 52
  40. 40.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 20 (b) 11 (c) 42 (d) 10

Answer key

  1. 51
  2. 95
  3. 47
  4. 22
  5. 30
  6. 40
  7. 66
  8. 51
  9. 66
  10. 98
  11. 66
  12. 10
  13. 59
  14. 54
  15. 66
  16. 66
  17. 4
  18. 18
  19. 16
  20. 60
  21. 21
  22. 51
  23. 28
  24. 50
  25. 58
  26. 25
  27. 53
  28. 74
  29. 40
  30. 36
  31. 79
  32. 32
  33. 24
  34. 77
  35. 50
  36. 34
  37. 65
  38. 26
  39. 51
  40. 10

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