← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 937 · 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 5 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 45 (b) 37 (c) 10 (d) 72
  2. 2.What is the average of 77, 70, 86 and 71? (a) 75 (b) 76 (c) 78 (d) 77
  3. 3.What is the average of all the whole numbers from 14 to 36? (a) 25 (b) 22 (c) 26 (d) 11
  4. 4.What is the average of all the whole numbers from 17 to 57? (a) 20 (b) 40 (c) 37 (d) 38
  5. 5.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 67 (b) 57 (c) 55 (d) 14
  6. 6.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 12 (b) 58 (c) 66 (d) 56
  7. 7.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 18 (b) 38 (c) 19 (d) 81
  8. 8.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 31 (b) 5 (c) 53 (d) 27
  9. 9.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 35 (b) 64 (c) 65 (d) 66
  10. 10.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 22 (b) 19 (c) 20 (d) 45
  11. 11.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 10 (b) 20 (c) 16 (d) 26
  12. 12.What is the average of all the whole numbers from 60 to 78? (a) 18 (b) 9 (c) 70 (d) 69
  13. 13.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 25? (a) 55 (b) 30 (c) 35 (d) 25
  14. 14.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 16 (b) 40 (c) 76 (d) 52
  15. 15.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 63 (b) 35 (c) 42 (d) 91
  16. 16.What is the average of all the whole numbers from 20 to 60? (a) 20 (b) 40 (c) 41 (d) 39
  17. 17.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 15 (b) 31 (c) 12 (d) 11
  18. 18.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 35 (b) 40 (c) 34 (d) 81
  19. 19.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 28 (b) 60 (c) 16 (d) 17
  20. 20.What is the average of 68, 62, 46, 58 and 41? (a) 56 (b) 57 (c) 55 (d) 54
  21. 21.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 44 (b) 70 (c) 36 (d) 10
  22. 22.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 6 (b) 18 (c) 23 (d) 35
  23. 23.What is the average of 69, 69, 85, 75, 75 and 77? (a) 75 (b) 76 (c) 90 (d) 74
  24. 24.What is the average of 55, 56, 71 and 86? (a) 68 (b) 69 (c) 67 (d) 66
  25. 25.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 35 (c) 90 (d) 69
  26. 26.What is the average of all the whole numbers from 44 to 54? (a) 10 (b) 5 (c) 49 (d) 50
  27. 27.What is the average of 72, 71, 67 and 18? (a) 56 (b) 76 (c) 57 (d) 58
  28. 28.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 35? (a) 37 (b) 35 (c) 18 (d) 51
  29. 29.What is the average of all the whole numbers from 8 to 34? (a) 21 (b) 13 (c) 26 (d) 22
  30. 30.What is the average of all the whole numbers from 40 to 72? (a) 56 (b) 32 (c) 16 (d) 57
  31. 31.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 70 (b) 102 (c) 62 (d) 48
  32. 32.What is the average of all the whole numbers from 8 to 16? (a) 13 (b) 12 (c) 4 (d) 8
  33. 33.What is the average of all the whole numbers from 26 to 58? (a) 32 (b) 16 (c) 42 (d) 43
  34. 34.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 45 (b) 63 (c) 30 (d) 39
  35. 35.What is the average of 26, 25, 19 and 62? (a) 33 (b) 44 (c) 32 (d) 34
  36. 36.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 76 (c) 35 (d) 55
  37. 37.What is the average of all the whole numbers from 21 to 37? (a) 8 (b) 30 (c) 29 (d) 16
  38. 38.What is the average of all the whole numbers from 14 to 48? (a) 31 (b) 34 (c) 32 (d) 17
  39. 39.What is the average of all the whole numbers from 39 to 47? (a) 4 (b) 8 (c) 43 (d) 44
  40. 40.What is the average of 18, 30, 22 and 14? (a) 22 (b) 28 (c) 20 (d) 21

Answer key

  1. 45
  2. 76
  3. 25
  4. 37
  5. 67
  6. 66
  7. 18
  8. 31
  9. 65
  10. 19
  11. 26
  12. 69
  13. 55
  14. 52
  15. 91
  16. 40
  17. 11
  18. 34
  19. 16
  20. 55
  21. 44
  22. 23
  23. 75
  24. 67
  25. 90
  26. 49
  27. 57
  28. 51
  29. 21
  30. 56
  31. 102
  32. 12
  33. 42
  34. 63
  35. 33
  36. 76
  37. 29
  38. 31
  39. 43
  40. 21

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