← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 632 · 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 44, 45, 40 and 83? (a) 52 (b) 55 (c) 54 (d) 53
  2. 2.What is the average of all the whole numbers from 44 to 82? (a) 64 (b) 63 (c) 19 (d) 38
  3. 3.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 72 (b) 29 (c) 30 (d) 35
  4. 4.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 10 (b) 25 (c) 15 (d) 20
  5. 5.What is the average of 73, 76, 83 and 84? (a) 78 (b) 80 (c) 81 (d) 79
  6. 6.What is the average of 46, 51, 38, 37, 42 and 50? (a) 46 (b) 44 (c) 45 (d) 43
  7. 7.What is the average of 57, 64, 77 and 58? (a) 66 (b) 65 (c) 63 (d) 64
  8. 8.What is the average of 39, 54, 62, 57 and 58? (a) 55 (b) 54 (c) 56 (d) 53
  9. 9.What is the average of 70, 79, 64 and 95? (a) 76 (b) 79 (c) 77 (d) 78
  10. 10.What is the average of all the whole numbers from 18 to 44? (a) 13 (b) 32 (c) 26 (d) 31
  11. 11.What is the average of all the whole numbers from 52 to 76? (a) 12 (b) 65 (c) 24 (d) 64
  12. 12.What is the average of all the whole numbers from 37 to 75? (a) 56 (b) 19 (c) 57 (d) 38
  13. 13.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 14 (b) 11 (c) 20 (d) 23
  14. 14.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 74 (c) 32 (d) 54
  15. 15.What is the average of 21, 19, 23, 36 and 66? (a) 32 (b) 35 (c) 34 (d) 33
  16. 16.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 66 (b) 54 (c) 24 (d) 48
  17. 17.What is the average of 35, 34, 50, 31, 46 and 32? (a) 37 (b) 38 (c) 40 (d) 39
  18. 18.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 16 (c) 67 (d) 55
  19. 19.What is the average of 79, 84, 92 and 53? (a) 76 (b) 79 (c) 77 (d) 78
  20. 20.What is the average of 45, 18, 40, 45 and 17? (a) 35 (b) 33 (c) 32 (d) 34
  21. 21.What is the average of 58, 58, 58 and 26? (a) 51 (b) 49 (c) 52 (d) 50
  22. 22.What is the average of 39, 41, 47 and 89? (a) 72 (b) 55 (c) 54 (d) 53
  23. 23.What is the average of 55, 31, 43 and 43? (a) 43 (b) 42 (c) 44 (d) 45
  24. 24.What is the average of all the whole numbers from 33 to 61? (a) 28 (b) 14 (c) 48 (d) 47
  25. 25.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 45 (b) 40 (c) 25 (d) 20
  26. 26.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 31 (b) 9 (c) 15 (d) 10
  27. 27.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 13 (b) 12 (c) 42 (d) 89
  28. 28.What is the average of 36, 56, 56, 49 and 53? (a) 52 (b) 51 (c) 50 (d) 49
  29. 29.What is the average of all the whole numbers from 12 to 46? (a) 34 (b) 17 (c) 29 (d) 30
  30. 30.What is the average of all the whole numbers from 27 to 43? (a) 16 (b) 35 (c) 8 (d) 36
  31. 31.What is the average of all the whole numbers from 52 to 66? (a) 7 (b) 14 (c) 60 (d) 59
  32. 32.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 31? (a) 24 (b) 49 (c) 37 (d) 31
  33. 33.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 82 (c) 42 (d) 50
  34. 34.What is the average of 53, 54, 64 and 73? (a) 60 (b) 62 (c) 61 (d) 63
  35. 35.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 88 (c) 56 (d) 48
  36. 36.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 117 (c) 64 (d) 69
  37. 37.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 17 (b) 36 (c) 3 (d) 4
  38. 38.What is the average of 68, 73, 76, 77, 69 and 33? (a) 68 (b) 66 (c) 67 (d) 65
  39. 39.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 37 (c) 79 (d) 48
  40. 40.What is the average of all the whole numbers from 7 to 27? (a) 17 (b) 10 (c) 18 (d) 20

Answer key

  1. 53
  2. 63
  3. 29
  4. 25
  5. 79
  6. 44
  7. 64
  8. 54
  9. 77
  10. 31
  11. 64
  12. 56
  13. 23
  14. 74
  15. 33
  16. 66
  17. 38
  18. 67
  19. 77
  20. 33
  21. 50
  22. 54
  23. 43
  24. 47
  25. 40
  26. 9
  27. 12
  28. 50
  29. 29
  30. 35
  31. 59
  32. 49
  33. 82
  34. 61
  35. 88
  36. 117
  37. 3
  38. 66
  39. 79
  40. 17

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