← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 392 · 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 50 to 76? (a) 63 (b) 26 (c) 13 (d) 64
  2. 2.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 34 (c) 46 (d) 24
  3. 3.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 48 (b) 25 (c) 91 (d) 68
  4. 4.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 4 (b) 21 (c) 11 (d) 14
  5. 5.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 14 (b) 81 (c) 13 (d) 38
  6. 6.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 65? (a) 28 (b) 72 (c) 65 (d) 86
  7. 7.What is the average of 27, 28, 38 and 75? (a) 41 (b) 43 (c) 42 (d) 56
  8. 8.What is the average of 54, 52, 59 and 55? (a) 56 (b) 55 (c) 57 (d) 54
  9. 9.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 22 (b) 8 (c) 12 (d) 18
  10. 10.What is the average of 55, 59, 70, 62, 78 and 72? (a) 65 (b) 67 (c) 68 (d) 66
  11. 11.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 13 (b) 37 (c) 18 (d) 14
  12. 12.What is the average of 19, 18, 39, 41 and 38? (a) 30 (b) 33 (c) 32 (d) 31
  13. 13.What is the average of all the whole numbers from 15 to 53? (a) 35 (b) 19 (c) 34 (d) 38
  14. 14.What is the average of 57, 71, 43, 47, 47 and 77? (a) 56 (b) 58 (c) 57 (d) 59
  15. 15.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 59 (b) 30 (c) 41 (d) 35
  16. 16.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 37 (b) 79 (c) 8 (d) 7
  17. 17.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) 16 (b) 51 (c) 39 (d) 37
  18. 18.What is the average of 63, 52, 71 and 50? (a) 58 (b) 60 (c) 59 (d) 61
  19. 19.What is the average of all the whole numbers from 33 to 63? (a) 49 (b) 15 (c) 48 (d) 30
  20. 20.What is the average of 57, 63, 42, 64 and 54? (a) 56 (b) 70 (c) 57 (d) 55
  21. 21.What is the average of 31, 19, 25, 45 and 30? (a) 31 (b) 29 (c) 30 (d) 32
  22. 22.What is the average of all the whole numbers from 19 to 59? (a) 20 (b) 38 (c) 39 (d) 40
  23. 23.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 47? (a) 47 (b) 71 (c) 50 (d) 27
  24. 24.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 42 (b) 89 (c) 28 (d) 27
  25. 25.What is the average of all the whole numbers from 43 to 71? (a) 14 (b) 58 (c) 28 (d) 57
  26. 26.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 28 (b) 36 (c) 26 (d) 12
  27. 27.What is the average of all the whole numbers from 7 to 45? (a) 26 (b) 27 (c) 19 (d) 38
  28. 28.What is the average of all the whole numbers from 11 to 41? (a) 30 (b) 15 (c) 26 (d) 27
  29. 29.What is the average of all the whole numbers from 41 to 53? (a) 47 (b) 12 (c) 48 (d) 6
  30. 30.What is the average of all the whole numbers from 9 to 31? (a) 22 (b) 11 (c) 21 (d) 20
  31. 31.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 58? (a) 58 (b) 40 (c) 93 (d) 63
  32. 32.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 39 (b) 49 (c) 37 (d) 14
  33. 33.What is the average of 61, 45, 61, 42 and 41? (a) 52 (b) 51 (c) 50 (d) 49
  34. 34.What is the average of all the whole numbers from 10 to 16? (a) 13 (b) 14 (c) 3 (d) 6
  35. 35.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 28 (b) 16 (c) 41 (d) 40
  36. 36.What is the average of 84, 67, 74 and 83? (a) 77 (b) 78 (c) 76 (d) 79
  37. 37.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 49 (b) 39 (c) 20 (d) 34
  38. 38.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 39 (c) 27 (d) 60
  39. 39.What is the average of 41, 63, 67 and 45? (a) 55 (b) 72 (c) 54 (d) 53
  40. 40.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 41 (b) 85 (c) 21 (d) 20

Answer key

  1. 63
  2. 46
  3. 68
  4. 14
  5. 13
  6. 86
  7. 42
  8. 55
  9. 18
  10. 66
  11. 13
  12. 31
  13. 34
  14. 57
  15. 59
  16. 7
  17. 51
  18. 59
  19. 48
  20. 56
  21. 30
  22. 39
  23. 71
  24. 27
  25. 57
  26. 36
  27. 26
  28. 26
  29. 47
  30. 20
  31. 93
  32. 49
  33. 50
  34. 13
  35. 40
  36. 77
  37. 49
  38. 60
  39. 54
  40. 20

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