← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 290 · 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 6 to 46? (a) 40 (b) 20 (c) 26 (d) 27
  2. 2.What is the average of 43, 38, 58, 62, 67 and 50? (a) 53 (b) 55 (c) 52 (d) 54
  3. 3.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 27 (b) 20 (c) 31 (d) 16
  4. 4.What is the average of 36, 49, 45, 35, 38 and 49? (a) 44 (b) 43 (c) 41 (d) 42
  5. 5.What is the average of all the whole numbers from 49 to 73? (a) 61 (b) 12 (c) 24 (d) 62
  6. 6.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 30 (b) 42 (c) 57 (d) 15
  7. 7.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 26 (b) 27 (c) 38 (d) 80
  8. 8.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 46 (b) 34 (c) 64 (d) 16
  9. 9.What is the average of 76, 86, 77, 69 and 47? (a) 73 (b) 71 (c) 70 (d) 72
  10. 10.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 47 (b) 27 (c) 25 (d) 32
  11. 11.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 15 (b) 64 (c) 14 (d) 30
  12. 12.What is the average of 74, 59, 66, 73, 74 and 32? (a) 63 (b) 62 (c) 65 (d) 64
  13. 13.What is the average of all the whole numbers from 42 to 64? (a) 11 (b) 54 (c) 53 (d) 22
  14. 14.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 49? (a) 105 (b) 56 (c) 49 (d) 63
  15. 15.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 46 (b) 88 (c) 70 (d) 28
  16. 16.What is the average of all the whole numbers from 60 to 92? (a) 77 (b) 16 (c) 76 (d) 32
  17. 17.What is the average of all the whole numbers from 24 to 30? (a) 6 (b) 27 (c) 3 (d) 28
  18. 18.What is the average of all the whole numbers from 19 to 39? (a) 20 (b) 10 (c) 29 (d) 30
  19. 19.What is the average of all the whole numbers from 24 to 38? (a) 7 (b) 31 (c) 14 (d) 32
  20. 20.What is the average of 65, 51, 56, 45 and 33? (a) 50 (b) 52 (c) 51 (d) 49
  21. 21.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 12 (b) 39 (c) 76 (d) 49
  22. 22.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 64 (c) 16 (d) 52
  23. 23.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 57 (c) 15 (d) 66
  24. 24.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) 20 (b) 39 (c) 49 (d) 34
  25. 25.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) 24 (b) 34 (c) 54 (d) 38
  26. 26.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 87 (b) 22 (c) 21 (d) 42
  27. 27.What is the average of all the whole numbers from 5 to 33? (a) 19 (b) 14 (c) 20 (d) 28
  28. 28.What is the average of 36, 17, 16, 32, 10 and 39? (a) 24 (b) 30 (c) 25 (d) 26
  29. 29.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 28 (c) 42 (d) 18
  30. 30.What is the average of all the whole numbers from 28 to 60? (a) 32 (b) 44 (c) 16 (d) 45
  31. 31.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 39 (b) 40 (c) 63 (d) 31
  32. 32.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 28 (b) 62 (c) 41 (d) 48
  33. 33.What is the average of 38, 39, 25 and 14? (a) 31 (b) 29 (c) 28 (d) 30
  34. 34.What is the average of all the whole numbers from 14 to 38? (a) 12 (b) 24 (c) 27 (d) 26
  35. 35.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 6 (b) 47 (c) 42 (d) 83
  36. 36.What is the average of 73, 66, 68 and 81? (a) 71 (b) 72 (c) 73 (d) 96
  37. 37.What is the average of all the whole numbers from 18 to 40? (a) 29 (b) 30 (c) 11 (d) 22
  38. 38.What is the average of all the whole numbers from 37 to 51? (a) 7 (b) 44 (c) 14 (d) 45
  39. 39.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 10 (c) 19 (d) 11
  40. 40.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 30 (b) 37 (c) 55 (d) 31

Answer key

  1. 26
  2. 53
  3. 31
  4. 42
  5. 61
  6. 42
  7. 26
  8. 46
  9. 71
  10. 47
  11. 14
  12. 63
  13. 53
  14. 105
  15. 70
  16. 76
  17. 27
  18. 29
  19. 31
  20. 50
  21. 49
  22. 64
  23. 66
  24. 49
  25. 54
  26. 21
  27. 19
  28. 25
  29. 42
  30. 44
  31. 63
  32. 62
  33. 29
  34. 26
  35. 47
  36. 72
  37. 29
  38. 44
  39. 19
  40. 55

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