← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 633 · 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 25 to 41? (a) 8 (b) 33 (c) 34 (d) 16
  2. 2.What is the average of 11, 12, 10, 19 and 68? (a) 30 (b) 24 (c) 25 (d) 23
  3. 3.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 77 (c) 65 (d) 18
  4. 4.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 47 (b) 42 (c) 40 (d) 75
  5. 5.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 20 (b) 39 (c) 51 (d) 35
  6. 6.What is the average of 71, 71, 53 and 57? (a) 64 (b) 63 (c) 62 (d) 84
  7. 7.What is the average of 54, 64, 61 and 33? (a) 54 (b) 55 (c) 52 (d) 53
  8. 8.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 82 (b) 16 (c) 42 (d) 56
  9. 9.What is the average of all the whole numbers from 50 to 64? (a) 57 (b) 58 (c) 14 (d) 7
  10. 10.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 15 (c) 50 (d) 59
  11. 11.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 66 (b) 8 (c) 31 (d) 7
  12. 12.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 30 (b) 25 (c) 70 (d) 50
  13. 13.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 21 (b) 24 (c) 41 (d) 38
  14. 14.What is the average of 50, 34, 25 and 47? (a) 40 (b) 39 (c) 38 (d) 52
  15. 15.What is the average of 16, 10, 9 and 61? (a) 24 (b) 32 (c) 25 (d) 23
  16. 16.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 52? (a) 82 (b) 35 (c) 52 (d) 57
  17. 17.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 20 (c) 46 (d) 30
  18. 18.What is the average of 40, 27, 28, 33 and 82? (a) 42 (b) 43 (c) 41 (d) 44
  19. 19.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 38 (b) 6 (c) 33 (d) 65
  20. 20.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 35 (b) 72 (c) 25 (d) 26
  21. 21.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 3 (b) 31 (c) 2 (d) 14
  22. 22.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 24 (b) 64 (c) 84 (d) 44
  23. 23.What is the average of 68, 72, 49, 79, 52 and 64? (a) 66 (b) 65 (c) 64 (d) 63
  24. 24.What is the average of all the whole numbers from 28 to 54? (a) 26 (b) 13 (c) 42 (d) 41
  25. 25.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 16 (b) 28 (c) 40 (d) 26
  26. 26.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 54? (a) 12 (b) 63 (c) 54 (d) 57
  27. 27.What is the average of 31, 26, 47 and 28? (a) 33 (b) 44 (c) 32 (d) 34
  28. 28.What is the average of 6, 12, 23, 35 and 24? (a) 19 (b) 20 (c) 21 (d) 25
  29. 29.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 84 (b) 32 (c) 56 (d) 60
  30. 30.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 12 (c) 64 (d) 72
  31. 31.What is the average of 56, 55, 62, 56, 67 and 112? (a) 69 (b) 70 (c) 68 (d) 67
  32. 32.What is the average of all the whole numbers from 14 to 50? (a) 18 (b) 36 (c) 32 (d) 33
  33. 33.What is the average of all the whole numbers from 46 to 86? (a) 67 (b) 40 (c) 20 (d) 66
  34. 34.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 39 (c) 25 (d) 18
  35. 35.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 26 (c) 20 (d) 7
  36. 36.What is the average of all the whole numbers from 9 to 27? (a) 19 (b) 9 (c) 18 (d) 17
  37. 37.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 53 (b) 50 (c) 62 (d) 15
  38. 38.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 95 (b) 44 (c) 45 (d) 47
  39. 39.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 67 (b) 47 (c) 25 (d) 89
  40. 40.What is the average of 45, 58, 45 and 80? (a) 56 (b) 58 (c) 76 (d) 57

Answer key

  1. 33
  2. 24
  3. 77
  4. 75
  5. 51
  6. 63
  7. 53
  8. 56
  9. 57
  10. 59
  11. 7
  12. 70
  13. 41
  14. 39
  15. 24
  16. 82
  17. 46
  18. 42
  19. 38
  20. 25
  21. 2
  22. 64
  23. 64
  24. 41
  25. 40
  26. 63
  27. 33
  28. 20
  29. 84
  30. 72
  31. 68
  32. 32
  33. 66
  34. 39
  35. 26
  36. 18
  37. 62
  38. 44
  39. 67
  40. 57

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