← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 776 · 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 7 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 16 (b) 17 (c) 84 (d) 40
  2. 2.What is the average of all the whole numbers from 8 to 42? (a) 26 (b) 17 (c) 25 (d) 34
  3. 3.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 58 (b) 60 (c) 52 (d) 106
  4. 4.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 45 (c) 33 (d) 18
  5. 5.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 58 (b) 55 (c) 28 (d) 31
  6. 6.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 42 (b) 68 (c) 98 (d) 62
  7. 7.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 87 (b) 38 (c) 37 (d) 43
  8. 8.What is the average of 37, 28, 35 and 8? (a) 27 (b) 26 (c) 28 (d) 36
  9. 9.What is the average of all the whole numbers from 12 to 30? (a) 9 (b) 21 (c) 22 (d) 18
  10. 10.What is the average of 24, 50, 21 and 45? (a) 34 (b) 37 (c) 36 (d) 35
  11. 11.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 35 (b) 59 (c) 29 (d) 36
  12. 12.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 44? (a) 50 (b) 44 (c) 8 (d) 46
  13. 13.What is the average of all the whole numbers from 19 to 35? (a) 28 (b) 8 (c) 16 (d) 27
  14. 14.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 12 (b) 47 (c) 41 (d) 38
  15. 15.What is the average of all the whole numbers from 19 to 27? (a) 24 (b) 4 (c) 23 (d) 8
  16. 16.What is the average of 56, 54, 54 and 44? (a) 51 (b) 53 (c) 54 (d) 52
  17. 17.What is the average of all the whole numbers from 25 to 31? (a) 3 (b) 29 (c) 6 (d) 28
  18. 18.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 24 (c) 47 (d) 31
  19. 19.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 35 (b) 25 (c) 27 (d) 12
  20. 20.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 60 (c) 84 (d) 30
  21. 21.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 32 (b) 53 (c) 29 (d) 27
  22. 22.What is the average of 77, 72, 81 and 90? (a) 81 (b) 79 (c) 82 (d) 80
  23. 23.What is the average of 69, 51, 74, 61, 72 and 63? (a) 66 (b) 78 (c) 65 (d) 64
  24. 24.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 32 (b) 28 (c) 53 (d) 52
  25. 25.What is the average of 29, 40, 26, 42, 32 and 53? (a) 38 (b) 37 (c) 36 (d) 39
  26. 26.What is the average of 85, 91, 72 and 68? (a) 78 (b) 80 (c) 81 (d) 79
  27. 27.What is the average of all the whole numbers from 46 to 60? (a) 7 (b) 53 (c) 54 (d) 14
  28. 28.What is the average of all the whole numbers from 45 to 79? (a) 34 (b) 63 (c) 17 (d) 62
  29. 29.What is the average of 29, 18, 40 and 13? (a) 25 (b) 27 (c) 26 (d) 24
  30. 30.What is the average of all the whole numbers from 23 to 29? (a) 26 (b) 27 (c) 3 (d) 6
  31. 31.What is the average of 24, 30, 38 and 48? (a) 34 (b) 35 (c) 36 (d) 37
  32. 32.What is the average of 62, 48, 61, 63, 53 and 49? (a) 55 (b) 56 (c) 58 (d) 57
  33. 33.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 16 (b) 90 (c) 46 (d) 60
  34. 34.What is the average of all the whole numbers from 10 to 16? (a) 13 (b) 3 (c) 6 (d) 14
  35. 35.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 28 (b) 8 (c) 59 (d) 7
  36. 36.What is the average of all the whole numbers from 8 to 18? (a) 13 (b) 14 (c) 5 (d) 10
  37. 37.What is the average of all the whole numbers from 34 to 40? (a) 38 (b) 37 (c) 3 (d) 6
  38. 38.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 56 (b) 40 (c) 33 (d) 82
  39. 39.What is the average of 46, 30, 47, 44, 47 and 2? (a) 36 (b) 38 (c) 37 (d) 35
  40. 40.What is the average of all the whole numbers from 46 to 66? (a) 56 (b) 20 (c) 57 (d) 10

Answer key

  1. 16
  2. 25
  3. 106
  4. 45
  5. 55
  6. 98
  7. 37
  8. 27
  9. 21
  10. 35
  11. 59
  12. 50
  13. 27
  14. 47
  15. 23
  16. 52
  17. 28
  18. 47
  19. 35
  20. 84
  21. 53
  22. 80
  23. 65
  24. 52
  25. 37
  26. 79
  27. 53
  28. 62
  29. 25
  30. 26
  31. 35
  32. 56
  33. 60
  34. 13
  35. 7
  36. 13
  37. 37
  38. 82
  39. 36
  40. 56

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