← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 792 · 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.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 49? (a) 57 (b) 105 (c) 49 (d) 64
  2. 2.What is the average of 81, 75, 71, 64 and 74? (a) 73 (b) 75 (c) 74 (d) 72
  3. 3.What is the average of 21, 42, 31, 21 and 25? (a) 35 (b) 28 (c) 29 (d) 27
  4. 4.What is the average of 33, 23, 9, 13, 37 and 29? (a) 26 (b) 24 (c) 25 (d) 23
  5. 5.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 26 (b) 25 (c) 45 (d) 95
  6. 6.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 5 (b) 89 (c) 49 (d) 45
  7. 7.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 65? (a) 105 (b) 65 (c) 73 (d) 48
  8. 8.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 65? (a) 114 (b) 65 (c) 72 (d) 56
  9. 9.What is the average of all the whole numbers from 54 to 64? (a) 5 (b) 10 (c) 60 (d) 59
  10. 10.What is the average of 43, 19, 27 and 23? (a) 29 (b) 30 (c) 27 (d) 28
  11. 11.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 18 (b) 31 (c) 47 (d) 33
  12. 12.What is the average of 55, 59, 62, 46 and 38? (a) 65 (b) 51 (c) 52 (d) 53
  13. 13.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 32 (b) 18 (c) 42 (d) 28
  14. 14.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 16 (b) 30 (c) 15 (d) 65
  15. 15.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 60 (b) 54 (c) 10 (d) 52
  16. 16.What is the average of all the whole numbers from 35 to 67? (a) 16 (b) 52 (c) 51 (d) 32
  17. 17.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 54 (b) 24 (c) 34 (d) 38
  18. 18.What is the average of all the whole numbers from 10 to 24? (a) 18 (b) 14 (c) 17 (d) 7
  19. 19.What is the average of 60, 50, 54, 40, 60 and 30? (a) 50 (b) 49 (c) 48 (d) 51
  20. 20.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 64 (b) 52 (c) 55 (d) 15
  21. 21.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 28 (b) 65 (c) 79 (d) 58
  22. 22.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) 55 (b) 58 (c) 31 (d) 28
  23. 23.What is the average of 11, 9, 22, 16, 21 and 53? (a) 21 (b) 22 (c) 24 (d) 23
  24. 24.What is the average of 19, 39, 36, 30 and 1? (a) 27 (b) 24 (c) 25 (d) 26
  25. 25.What is the average of all the whole numbers from 27 to 51? (a) 24 (b) 40 (c) 12 (d) 39
  26. 26.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 53 (b) 68 (c) 21 (d) 50
  27. 27.What is the average of all the whole numbers from 57 to 85? (a) 28 (b) 72 (c) 14 (d) 71
  28. 28.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 20 (b) 41 (c) 47 (d) 26
  29. 29.What is the average of all the whole numbers from 13 to 51? (a) 38 (b) 33 (c) 32 (d) 19
  30. 30.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 34 (b) 30 (c) 42 (d) 16
  31. 31.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 42 (b) 10 (c) 40 (d) 48
  32. 32.What is the average of 12, 15, 16, 17, 25 and 77? (a) 28 (b) 29 (c) 26 (d) 27
  33. 33.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 23? (a) 31 (b) 10 (c) 25 (d) 23
  34. 34.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 62 (b) 47 (c) 50 (d) 18
  35. 35.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 5 (b) 12 (c) 23 (d) 16
  36. 36.What is the average of 41, 66, 59 and 58? (a) 55 (b) 56 (c) 58 (d) 57
  37. 37.What is the average of 93, 76, 72, 95, 70 and 74? (a) 81 (b) 79 (c) 96 (d) 80
  38. 38.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 51 (c) 75 (d) 40
  39. 39.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 43 (b) 32 (c) 82 (d) 71
  40. 40.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 40 (b) 98 (c) 48 (d) 41

Answer key

  1. 105
  2. 73
  3. 28
  4. 24
  5. 25
  6. 49
  7. 105
  8. 114
  9. 59
  10. 28
  11. 47
  12. 52
  13. 42
  14. 15
  15. 60
  16. 51
  17. 54
  18. 17
  19. 49
  20. 64
  21. 79
  22. 55
  23. 22
  24. 25
  25. 39
  26. 68
  27. 71
  28. 41
  29. 32
  30. 42
  31. 48
  32. 27
  33. 31
  34. 62
  35. 16
  36. 56
  37. 80
  38. 75
  39. 71
  40. 40

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