← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 888 · 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 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 12 (b) 42 (c) 44 (d) 52
  2. 2.What is the average of all the whole numbers from 56 to 68? (a) 6 (b) 12 (c) 63 (d) 62
  3. 3.What is the average of all the whole numbers from 9 to 49? (a) 30 (b) 20 (c) 29 (d) 40
  4. 4.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 29? (a) 29 (b) 41 (c) 33 (d) 16
  5. 5.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 44 (b) 68 (c) 36 (d) 38
  6. 6.What is the average of 77, 68, 68, 84, 87 and 72? (a) 76 (b) 77 (c) 78 (d) 75
  7. 7.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 15 (b) 20 (c) 41 (d) 16
  8. 8.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 16 (b) 22 (c) 23 (d) 10
  9. 9.What is the average of all the whole numbers from 24 to 48? (a) 12 (b) 37 (c) 24 (d) 36
  10. 10.What is the average of all the whole numbers from 56 to 66? (a) 10 (b) 5 (c) 62 (d) 61
  11. 11.What is the average of 51, 69, 54, 52 and 54? (a) 70 (b) 57 (c) 55 (d) 56
  12. 12.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 9 (b) 44 (c) 20 (d) 8
  13. 13.What is the average of 37, 30, 43, 37 and 28? (a) 36 (b) 35 (c) 37 (d) 34
  14. 14.What is the average of all the whole numbers from 15 to 47? (a) 32 (b) 31 (c) 16 (d) 30
  15. 15.What is the average of all the whole numbers from 42 to 48? (a) 45 (b) 46 (c) 3 (d) 6
  16. 16.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) 49 (b) 37 (c) 14 (d) 39
  17. 17.What is the average of 14, 20, 40 and 26? (a) 24 (b) 27 (c) 26 (d) 25
  18. 18.What is the average of 20, 38, 44, 30, 24 and 42? (a) 32 (b) 35 (c) 33 (d) 34
  19. 19.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 35 (b) 38 (c) 59 (d) 31
  20. 20.What is the average of 69, 86, 76 and 89? (a) 82 (b) 79 (c) 81 (d) 80
  21. 21.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 30 (b) 59 (c) 35 (d) 32
  22. 22.What is the average of 43, 55, 37, 61, 67 and 49? (a) 52 (b) 51 (c) 54 (d) 53
  23. 23.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 54? (a) 96 (b) 54 (c) 61 (d) 49
  24. 24.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 8 (b) 27 (c) 21 (d) 14
  25. 25.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 60 (b) 57 (c) 15 (d) 69
  26. 26.What is the average of 57, 58, 56 and 41? (a) 53 (b) 52 (c) 55 (d) 54
  27. 27.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 41 (b) 16 (c) 55 (d) 80
  28. 28.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 3 (b) 23 (c) 50 (d) 4
  29. 29.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 45 (c) 48 (d) 83
  30. 30.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) 93 (b) 58 (c) 40 (d) 63
  31. 31.What is the average of 49, 24, 45, 24, 47 and 39? (a) 38 (b) 37 (c) 40 (d) 39
  32. 32.What is the average of 35, 46, 42, 47, 45 and 31? (a) 40 (b) 41 (c) 43 (d) 42
  33. 33.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 66 (b) 8 (c) 34 (d) 40
  34. 34.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 41 (b) 14 (c) 20 (d) 13
  35. 35.What is the average of 89, 92, 84, 81 and 54? (a) 100 (b) 80 (c) 81 (d) 79
  36. 36.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 10 (b) 41 (c) 11 (d) 19
  37. 37.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 48 (b) 68 (c) 60 (d) 100
  38. 38.What is the average of 79, 66, 65 and 74? (a) 73 (b) 72 (c) 70 (d) 71
  39. 39.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 48 (c) 84 (d) 52
  40. 40.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 27 (b) 32 (c) 50 (d) 55

Answer key

  1. 52
  2. 62
  3. 29
  4. 41
  5. 68
  6. 76
  7. 15
  8. 22
  9. 36
  10. 61
  11. 56
  12. 8
  13. 35
  14. 31
  15. 45
  16. 49
  17. 25
  18. 33
  19. 59
  20. 80
  21. 59
  22. 52
  23. 96
  24. 21
  25. 69
  26. 53
  27. 55
  28. 3
  29. 83
  30. 93
  31. 38
  32. 41
  33. 40
  34. 13
  35. 80
  36. 10
  37. 100
  38. 71
  39. 84
  40. 55

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