← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 791 · 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 44 to 50? (a) 6 (b) 47 (c) 3 (d) 48
  2. 2.What is the average of 58, 69, 67, 52 and 64? (a) 64 (b) 61 (c) 62 (d) 63
  3. 3.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 20 (b) 46 (c) 56 (d) 41
  4. 4.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 35 (b) 14 (c) 73 (d) 15
  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 54? (a) 30 (b) 54 (c) 81 (d) 57
  6. 6.What is the average of 40, 47, 45, 37 and 31? (a) 41 (b) 39 (c) 50 (d) 40
  7. 7.What is the average of all the whole numbers from 46 to 52? (a) 49 (b) 6 (c) 50 (d) 3
  8. 8.What is the average of all the whole numbers from 16 to 36? (a) 26 (b) 27 (c) 20 (d) 10
  9. 9.What is the average of all the whole numbers from 32 to 66? (a) 50 (b) 17 (c) 49 (d) 34
  10. 10.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 20 (b) 32 (c) 24 (d) 12
  11. 11.What is the average of 55, 69, 70, 53 and 28? (a) 54 (b) 57 (c) 56 (d) 55
  12. 12.What is the average of 54, 61, 49 and 48? (a) 55 (b) 53 (c) 54 (d) 52
  13. 13.What is the average of all the whole numbers from 37 to 65? (a) 28 (b) 14 (c) 51 (d) 52
  14. 14.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 60 (b) 52 (c) 72 (d) 116
  15. 15.What is the average of 44, 52, 60, 63 and 61? (a) 70 (b) 55 (c) 57 (d) 56
  16. 16.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 30 (b) 62 (c) 87 (d) 67
  17. 17.What is the average of 23, 10, 31, 22, 29 and 29? (a) 25 (b) 23 (c) 24 (d) 26
  18. 18.What is the average of all the whole numbers from 10 to 18? (a) 8 (b) 14 (c) 15 (d) 4
  19. 19.What is the average of 36, 42, 29 and 9? (a) 28 (b) 31 (c) 30 (d) 29
  20. 20.What is the average of all the whole numbers from 31 to 41? (a) 5 (b) 10 (c) 37 (d) 36
  21. 21.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 67 (b) 53 (c) 28 (d) 46
  22. 22.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 28 (b) 32 (c) 56 (d) 60
  23. 23.What is the average of all the whole numbers from 40 to 72? (a) 57 (b) 56 (c) 32 (d) 16
  24. 24.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 33 (b) 5 (c) 17 (d) 21
  25. 25.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 76 (c) 60 (d) 32
  26. 26.What is the average of 78, 73, 64, 67, 63 and 105? (a) 75 (b) 74 (c) 90 (d) 76
  27. 27.What is the average of 57, 63, 57, 78 and 95? (a) 71 (b) 69 (c) 72 (d) 70
  28. 28.What is the average of 38, 29, 37 and 12? (a) 30 (b) 28 (c) 31 (d) 29
  29. 29.What is the average of 18, 22, 38, 17 and 55? (a) 31 (b) 30 (c) 32 (d) 29
  30. 30.What is the average of 66, 80, 71, 66, 72 and 113? (a) 77 (b) 80 (c) 79 (d) 78
  31. 31.What is the average of 42, 30, 34, 32, 42 and 12? (a) 34 (b) 33 (c) 31 (d) 32
  32. 32.What is the average of all the whole numbers from 16 to 56? (a) 37 (b) 20 (c) 40 (d) 36
  33. 33.What is the average of all the whole numbers from 60 to 68? (a) 4 (b) 8 (c) 64 (d) 65
  34. 34.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 11 (b) 24 (c) 32 (d) 19
  35. 35.What is the average of 33, 30, 28, 36, 34 and 19? (a) 30 (b) 36 (c) 31 (d) 29
  36. 36.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 59 (b) 54 (c) 94 (d) 45
  37. 37.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 13 (b) 23 (c) 22 (d) 12
  38. 38.What is the average of all the whole numbers from 10 to 34? (a) 22 (b) 23 (c) 12 (d) 24
  39. 39.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 32 (b) 20 (c) 16 (d) 36
  40. 40.What is the average of 28, 43, 51, 39 and 24? (a) 38 (b) 36 (c) 37 (d) 39

Answer key

  1. 47
  2. 62
  3. 56
  4. 14
  5. 81
  6. 40
  7. 49
  8. 26
  9. 49
  10. 32
  11. 55
  12. 53
  13. 51
  14. 116
  15. 56
  16. 87
  17. 24
  18. 14
  19. 29
  20. 36
  21. 67
  22. 56
  23. 56
  24. 21
  25. 76
  26. 75
  27. 70
  28. 29
  29. 30
  30. 78
  31. 32
  32. 36
  33. 64
  34. 32
  35. 30
  36. 94
  37. 22
  38. 22
  39. 32
  40. 37

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