← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 210 · 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 6 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 33 (b) 65 (c) 6 (d) 38
  2. 2.What is the average of all the whole numbers from 47 to 87? (a) 67 (b) 20 (c) 68 (d) 40
  3. 3.What is the average of 55, 49, 68, 56, 67 and 71? (a) 60 (b) 62 (c) 63 (d) 61
  4. 4.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 84 (c) 60 (d) 40
  5. 5.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 52 (c) 50 (d) 92
  6. 6.What is the average of 44, 37, 48 and 7? (a) 36 (b) 35 (c) 33 (d) 34
  7. 7.What is the average of all the whole numbers from 21 to 61? (a) 42 (b) 40 (c) 41 (d) 20
  8. 8.What is the average of 51, 68, 59 and 62? (a) 59 (b) 80 (c) 60 (d) 61
  9. 9.What is the average of all the whole numbers from 35 to 63? (a) 28 (b) 49 (c) 14 (d) 50
  10. 10.What is the average of all the whole numbers from 18 to 36? (a) 9 (b) 28 (c) 18 (d) 27
  11. 11.What is the average of 30, 20, 23, 39 and 8? (a) 23 (b) 24 (c) 25 (d) 30
  12. 12.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 19 (b) 11 (c) 40 (d) 12
  13. 13.What is the average of all the whole numbers from 50 to 64? (a) 58 (b) 14 (c) 57 (d) 7
  14. 14.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 36 (c) 57 (d) 33
  15. 15.What is the average of 56, 51, 38, 65, 36 and 60? (a) 53 (b) 52 (c) 50 (d) 51
  16. 16.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 37 (b) 43 (c) 12 (d) 34
  17. 17.What is the average of all the whole numbers from 18 to 52? (a) 36 (b) 17 (c) 35 (d) 34
  18. 18.What is the average of 39, 33, 33, 19 and 41? (a) 32 (b) 34 (c) 33 (d) 35
  19. 19.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 47 (b) 21 (c) 25 (d) 43
  20. 20.What is the average of 52, 45, 45, 75, 48 and 95? (a) 72 (b) 61 (c) 60 (d) 59
  21. 21.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 25 (b) 16 (c) 48 (d) 39
  22. 22.What is the average of all the whole numbers from 53 to 89? (a) 36 (b) 18 (c) 72 (d) 71
  23. 23.What is the average of 40, 28, 53 and 47? (a) 56 (b) 42 (c) 41 (d) 43
  24. 24.What is the average of 64, 60, 53, 60 and 58? (a) 60 (b) 58 (c) 61 (d) 59
  25. 25.What is the average of all the whole numbers from 19 to 33? (a) 27 (b) 7 (c) 14 (d) 26
  26. 26.What is the average of all the whole numbers from 23 to 59? (a) 18 (b) 42 (c) 41 (d) 36
  27. 27.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 32 (b) 31 (c) 80 (d) 39
  28. 28.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 47 (b) 40 (c) 39 (d) 71
  29. 29.What is the average of 61, 69, 74, 75 and 71? (a) 69 (b) 70 (c) 71 (d) 72
  30. 30.What is the average of 36, 44, 26, 18 and 41? (a) 35 (b) 32 (c) 34 (d) 33
  31. 31.What is the average of all the whole numbers from 17 to 23? (a) 3 (b) 20 (c) 21 (d) 6
  32. 32.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 71 (c) 63 (d) 120
  33. 33.What is the average of 53, 68, 52, 73 and 89? (a) 66 (b) 68 (c) 69 (d) 67
  34. 34.What is the average of 24, 46, 42 and 44? (a) 40 (b) 52 (c) 39 (d) 38
  35. 35.What is the average of 48, 52, 53, 70 and 87? (a) 62 (b) 61 (c) 64 (d) 63
  36. 36.What is the average of all the whole numbers from 20 to 26? (a) 3 (b) 24 (c) 6 (d) 23
  37. 37.What is the average of all the whole numbers from 21 to 37? (a) 16 (b) 30 (c) 29 (d) 8
  38. 38.What is the average of 41, 57, 43, 64, 41 and 78? (a) 53 (b) 54 (c) 55 (d) 56
  39. 39.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 53 (c) 81 (d) 36
  40. 40.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 44 (b) 8 (c) 73 (d) 37

Answer key

  1. 38
  2. 67
  3. 61
  4. 84
  5. 92
  6. 34
  7. 41
  8. 60
  9. 49
  10. 27
  11. 24
  12. 11
  13. 57
  14. 57
  15. 51
  16. 43
  17. 35
  18. 33
  19. 43
  20. 60
  21. 39
  22. 71
  23. 42
  24. 59
  25. 26
  26. 41
  27. 31
  28. 71
  29. 70
  30. 33
  31. 20
  32. 120
  33. 67
  34. 39
  35. 62
  36. 23
  37. 29
  38. 54
  39. 81
  40. 44

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