← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 503 · 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 52, 32, 52, 34 and 65? (a) 48 (b) 49 (c) 47 (d) 46
  2. 2.What is the average of all the whole numbers from 18 to 40? (a) 30 (b) 11 (c) 29 (d) 22
  3. 3.What is the average of 38, 44, 34, 39 and 30? (a) 39 (b) 36 (c) 37 (d) 38
  4. 4.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 65? (a) 100 (b) 42 (c) 72 (d) 65
  5. 5.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) 44 (b) 8 (c) 9 (d) 20
  6. 6.What is the average of 76, 77, 76 and 83? (a) 104 (b) 79 (c) 78 (d) 77
  7. 7.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 62 (b) 60 (c) 110 (d) 56
  8. 8.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 31? (a) 49 (b) 31 (c) 33 (d) 20
  9. 9.What is the average of all the whole numbers from 52 to 84? (a) 68 (b) 69 (c) 16 (d) 32
  10. 10.What is the average of 67, 75, 49, 48 and 71? (a) 64 (b) 62 (c) 63 (d) 61
  11. 11.What is the average of 24, 24, 33, 19, 38 and 54? (a) 33 (b) 31 (c) 34 (d) 32
  12. 12.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 24 (b) 29 (c) 49 (d) 54
  13. 13.What is the average of 77, 62, 92, 87 and 67? (a) 79 (b) 78 (c) 76 (d) 77
  14. 14.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 83 (b) 7 (c) 42 (d) 48
  15. 15.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 28 (b) 69 (c) 55 (d) 48
  16. 16.What is the average of 55, 47, 70 and 60? (a) 60 (b) 58 (c) 57 (d) 59
  17. 17.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 36 (c) 59 (d) 83
  18. 18.What is the average of all the whole numbers from 24 to 56? (a) 16 (b) 41 (c) 32 (d) 40
  19. 19.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 74 (b) 66 (c) 32 (d) 90
  20. 20.What is the average of all the whole numbers from 53 to 89? (a) 36 (b) 72 (c) 18 (d) 71
  21. 21.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 33 (b) 28 (c) 53 (d) 30
  22. 22.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 64? (a) 85 (b) 71 (c) 28 (d) 64
  23. 23.What is the average of 37, 16, 40, 41, 17 and 5? (a) 25 (b) 26 (c) 28 (d) 27
  24. 24.What is the average of 70, 61, 67, 78, 69 and 81? (a) 71 (b) 72 (c) 73 (d) 70
  25. 25.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 48 (b) 65 (c) 57 (d) 97
  26. 26.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 6 (b) 32 (c) 37 (d) 63
  27. 27.What is the average of 32, 34, 33 and 73? (a) 44 (b) 42 (c) 43 (d) 45
  28. 28.What is the average of 32, 48, 30, 52 and 48? (a) 44 (b) 43 (c) 42 (d) 41
  29. 29.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 15 (b) 6 (c) 7 (d) 33
  30. 30.What is the average of 50, 68, 76 and 54? (a) 64 (b) 62 (c) 61 (d) 63
  31. 31.What is the average of 81, 66, 92, 72, 81 and 76? (a) 77 (b) 79 (c) 80 (d) 78
  32. 32.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 21 (b) 38 (c) 39 (d) 40
  33. 33.What is the average of 71, 48, 66, 47, 70 and 46? (a) 58 (b) 59 (c) 57 (d) 60
  34. 34.What is the average of all the whole numbers from 45 to 55? (a) 10 (b) 5 (c) 51 (d) 50
  35. 35.What is the average of 33, 40, 43, 41, 37 and 40? (a) 40 (b) 38 (c) 41 (d) 39
  36. 36.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 48 (b) 13 (c) 40 (d) 21
  37. 37.What is the average of all the whole numbers from 8 to 48? (a) 40 (b) 29 (c) 20 (d) 28
  38. 38.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 44 (c) 34 (d) 20
  39. 39.What is the average of 28, 42, 46, 41 and 18? (a) 34 (b) 35 (c) 36 (d) 37
  40. 40.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 33 (b) 41 (c) 31 (d) 12

Answer key

  1. 47
  2. 29
  3. 37
  4. 100
  5. 8
  6. 78
  7. 110
  8. 49
  9. 68
  10. 62
  11. 32
  12. 49
  13. 77
  14. 48
  15. 69
  16. 58
  17. 83
  18. 40
  19. 90
  20. 71
  21. 53
  22. 85
  23. 26
  24. 71
  25. 97
  26. 37
  27. 43
  28. 42
  29. 6
  30. 62
  31. 78
  32. 39
  33. 58
  34. 50
  35. 39
  36. 48
  37. 28
  38. 44
  39. 35
  40. 41

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