← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 289 · 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 37 to 59? (a) 22 (b) 11 (c) 48 (d) 49
  2. 2.What is the average of 52, 29, 23 and 48? (a) 40 (b) 39 (c) 38 (d) 37
  3. 3.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 21 (b) 20 (c) 44 (d) 92
  4. 4.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 37 (b) 40 (c) 69 (d) 72
  5. 5.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 32 (b) 31 (c) 55 (d) 39
  6. 6.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 94 (b) 46 (c) 64 (d) 38
  7. 7.What is the average of 52, 41, 52, 41 and 74? (a) 53 (b) 65 (c) 51 (d) 52
  8. 8.What is the average of 43, 25, 31, 25 and 36? (a) 31 (b) 40 (c) 33 (d) 32
  9. 9.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 16 (b) 63 (c) 61 (d) 75
  10. 10.What is the average of 66, 60, 38 and 40? (a) 68 (b) 52 (c) 50 (d) 51
  11. 11.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 40 (b) 74 (c) 73 (d) 39
  12. 12.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 33 (b) 29 (c) 40 (d) 65
  13. 13.What is the average of 18, 24, 24, 37, 26 and 69? (a) 34 (b) 32 (c) 35 (d) 33
  14. 14.What is the average of 61, 75, 76, 54, 76 and 72? (a) 69 (b) 68 (c) 70 (d) 71
  15. 15.What is the average of 46, 53, 53, 46, 56 and 76? (a) 54 (b) 55 (c) 66 (d) 56
  16. 16.What is the average of 36, 15, 31, 9, 14 and 33? (a) 22 (b) 23 (c) 24 (d) 25
  17. 17.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 84 (b) 43 (c) 10 (d) 51
  18. 18.What is the average of 72, 75, 51, 52 and 70? (a) 64 (b) 63 (c) 80 (d) 65
  19. 19.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 101 (b) 61 (c) 45 (d) 66
  20. 20.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 36 (b) 99 (c) 37 (d) 48
  21. 21.What is the average of 34, 42, 51, 37, 59 and 65? (a) 49 (b) 47 (c) 50 (d) 48
  22. 22.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 42? (a) 49 (b) 63 (c) 42 (d) 28
  23. 23.What is the average of 56, 76, 49, 56, 49 and 98? (a) 65 (b) 66 (c) 64 (d) 63
  24. 24.What is the average of 78, 62, 85, 85, 77 and 45? (a) 72 (b) 71 (c) 73 (d) 74
  25. 25.What is the average of all the whole numbers from 50 to 68? (a) 9 (b) 18 (c) 59 (d) 60
  26. 26.What is the average of 23, 35, 39 and 7? (a) 27 (b) 28 (c) 25 (d) 26
  27. 27.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 8 (c) 44 (d) 48
  28. 28.What is the average of 72, 45, 49 and 74? (a) 61 (b) 80 (c) 60 (d) 59
  29. 29.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 10 (b) 40 (c) 29 (d) 21
  30. 30.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 12 (b) 60 (c) 63 (d) 69
  31. 31.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 39 (b) 33 (c) 65 (d) 7
  32. 32.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 54 (b) 53 (c) 47 (d) 95
  33. 33.What is the average of 39, 35, 45, 37, 44 and 52? (a) 43 (b) 44 (c) 41 (d) 42
  34. 34.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 78 (b) 20 (c) 62 (d) 60
  35. 35.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 54? (a) 54 (b) 25 (c) 74 (d) 59
  36. 36.What is the average of all the whole numbers from 59 to 91? (a) 16 (b) 32 (c) 75 (d) 76
  37. 37.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 78 (b) 28 (c) 57 (d) 64
  38. 38.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 24 (b) 19 (c) 49 (d) 20
  39. 39.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 21 (c) 59 (d) 41
  40. 40.What is the average of 53, 36, 56, 60, 37 and 52? (a) 50 (b) 48 (c) 51 (d) 49

Answer key

  1. 48
  2. 38
  3. 20
  4. 72
  5. 55
  6. 94
  7. 52
  8. 32
  9. 75
  10. 51
  11. 74
  12. 65
  13. 33
  14. 69
  15. 55
  16. 23
  17. 51
  18. 64
  19. 101
  20. 36
  21. 48
  22. 63
  23. 64
  24. 72
  25. 59
  26. 26
  27. 48
  28. 60
  29. 29
  30. 69
  31. 39
  32. 95
  33. 42
  34. 78
  35. 74
  36. 75
  37. 78
  38. 19
  39. 59
  40. 49

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