← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 844 · 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.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 12 (b) 7 (c) 18 (d) 23
  2. 2.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 32 (b) 86 (c) 42 (d) 33
  3. 3.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 28 (b) 2 (c) 1 (d) 13
  4. 4.What is the average of all the whole numbers from 26 to 42? (a) 34 (b) 8 (c) 16 (d) 35
  5. 5.What is the average of 43, 61, 48, 53, 48 and 47? (a) 51 (b) 49 (c) 60 (d) 50
  6. 6.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 35? (a) 38 (b) 18 (c) 50 (d) 35
  7. 7.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 88 (b) 36 (c) 35 (d) 43
  8. 8.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 24 (b) 5 (c) 6 (d) 11
  9. 9.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 23 (b) 41 (c) 40 (d) 58
  10. 10.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 11 (b) 17 (c) 12 (d) 36
  11. 11.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 56 (b) 88 (c) 48 (d) 40
  12. 12.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 28 (c) 68 (d) 88
  13. 13.What is the average of all the whole numbers from 36 to 76? (a) 40 (b) 20 (c) 56 (d) 57
  14. 14.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 39 (b) 19 (c) 17 (d) 16
  15. 15.What is the average of 58, 64, 66, 48 and 79? (a) 63 (b) 65 (c) 62 (d) 64
  16. 16.What is the average of all the whole numbers from 33 to 47? (a) 14 (b) 40 (c) 7 (d) 41
  17. 17.What is the average of all the whole numbers from 13 to 21? (a) 8 (b) 4 (c) 18 (d) 17
  18. 18.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 76 (b) 37 (c) 24 (d) 23
  19. 19.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 8 (c) 50 (d) 54
  20. 20.What is the average of 68, 44, 56, 38 and 59? (a) 54 (b) 53 (c) 52 (d) 55
  21. 21.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 7 (b) 40 (c) 8 (d) 19
  22. 22.What is the average of 57, 47, 71, 48, 72 and 47? (a) 57 (b) 59 (c) 56 (d) 58
  23. 23.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 34 (b) 69 (c) 32 (d) 31
  24. 24.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 60? (a) 60 (b) 8 (c) 66 (d) 62
  25. 25.What is the average of all the whole numbers from 56 to 68? (a) 12 (b) 6 (c) 62 (d) 63
  26. 26.What is the average of all the whole numbers from 14 to 20? (a) 6 (b) 3 (c) 17 (d) 18
  27. 27.What is the average of 25, 17, 39, 20 and 59? (a) 40 (b) 33 (c) 31 (d) 32
  28. 28.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 47 (b) 90 (c) 16 (d) 59
  29. 29.What is the average of all the whole numbers from 44 to 64? (a) 20 (b) 10 (c) 54 (d) 55
  30. 30.What is the average of all the whole numbers from 41 to 77? (a) 36 (b) 60 (c) 59 (d) 18
  31. 31.What is the average of all the whole numbers from 41 to 53? (a) 47 (b) 6 (c) 48 (d) 12
  32. 32.What is the average of 48, 49, 63 and 52? (a) 54 (b) 52 (c) 55 (d) 53
  33. 33.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 25 (b) 32 (c) 24 (d) 66
  34. 34.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 49 (b) 100 (c) 41 (d) 42
  35. 35.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 62 (b) 47 (c) 18 (d) 50
  36. 36.What is the average of all the whole numbers from 39 to 73? (a) 56 (b) 34 (c) 17 (d) 57
  37. 37.What is the average of 92, 88, 83 and 53? (a) 81 (b) 80 (c) 78 (d) 79
  38. 38.What is the average of all the whole numbers from 41 to 55? (a) 49 (b) 7 (c) 14 (d) 48
  39. 39.What is the average of 27, 16, 18 and 55? (a) 31 (b) 30 (c) 29 (d) 28
  40. 40.What is the average of 61, 72, 76 and 71? (a) 71 (b) 72 (c) 69 (d) 70

Answer key

  1. 18
  2. 32
  3. 1
  4. 34
  5. 50
  6. 50
  7. 35
  8. 5
  9. 58
  10. 11
  11. 88
  12. 88
  13. 56
  14. 16
  15. 63
  16. 40
  17. 17
  18. 23
  19. 54
  20. 53
  21. 7
  22. 57
  23. 31
  24. 66
  25. 62
  26. 17
  27. 32
  28. 59
  29. 54
  30. 59
  31. 47
  32. 53
  33. 24
  34. 41
  35. 62
  36. 56
  37. 79
  38. 48
  39. 29
  40. 70

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