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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 898 · 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 4 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 16 (b) 8 (c) 30 (d) 22
  2. 2.What is the average of 74, 45, 65 and 56? (a) 60 (b) 80 (c) 61 (d) 59
  3. 3.What is the average of 47, 34, 33, 24, 43 and 17? (a) 32 (b) 33 (c) 34 (d) 35
  4. 4.What is the average of all the whole numbers from 31 to 65? (a) 34 (b) 49 (c) 17 (d) 48
  5. 5.What is the average of all the whole numbers from 7 to 31? (a) 24 (b) 12 (c) 20 (d) 19
  6. 6.What is the average of all the whole numbers from 17 to 39? (a) 28 (b) 11 (c) 29 (d) 22
  7. 7.What is the average of all the whole numbers from 15 to 51? (a) 18 (b) 34 (c) 36 (d) 33
  8. 8.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 28 (b) 51 (c) 27 (d) 50
  9. 9.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 24 (b) 20 (c) 41 (d) 37
  10. 10.What is the average of all the whole numbers from 47 to 69? (a) 11 (b) 22 (c) 59 (d) 58
  11. 11.What is the average of 46, 44, 52 and 34? (a) 45 (b) 43 (c) 44 (d) 46
  12. 12.What is the average of all the whole numbers from 37 to 49? (a) 43 (b) 44 (c) 6 (d) 12
  13. 13.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 62 (b) 20 (c) 88 (d) 46
  14. 14.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 95 (b) 47 (c) 60 (d) 41
  15. 15.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 41 (b) 26 (c) 6 (d) 21
  16. 16.What is the average of 33, 45, 45 and 9? (a) 44 (b) 34 (c) 33 (d) 32
  17. 17.What is the average of 53, 69, 47 and 51? (a) 57 (b) 54 (c) 55 (d) 56
  18. 18.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 74 (b) 47 (c) 50 (d) 30
  19. 19.What is the average of all the whole numbers from 26 to 52? (a) 40 (b) 39 (c) 26 (d) 13
  20. 20.What is the average of 69, 50, 48, 73 and 75? (a) 62 (b) 63 (c) 64 (d) 65
  21. 21.What is the average of all the whole numbers from 10 to 50? (a) 30 (b) 31 (c) 40 (d) 20
  22. 22.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 44 (b) 20 (c) 59 (d) 83
  23. 23.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 61 (b) 31 (c) 6 (d) 36
  24. 24.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 54 (c) 110 (d) 72
  25. 25.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 45 (b) 70 (c) 30 (d) 35
  26. 26.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 25 (b) 40 (c) 35 (d) 20
  27. 27.What is the average of all the whole numbers from 23 to 39? (a) 8 (b) 31 (c) 16 (d) 32
  28. 28.What is the average of 61, 63, 64, 70, 55 and 95? (a) 67 (b) 69 (c) 68 (d) 70
  29. 29.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 21 (b) 77 (c) 36 (d) 22
  30. 30.What is the average of all the whole numbers from 31 to 51? (a) 10 (b) 20 (c) 42 (d) 41
  31. 31.What is the average of 48, 33, 46 and 53? (a) 60 (b) 46 (c) 44 (d) 45
  32. 32.What is the average of 52, 46, 42 and 56? (a) 50 (b) 51 (c) 49 (d) 48
  33. 33.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 70 (c) 97 (d) 41
  34. 34.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 41 (b) 19 (c) 8 (d) 7
  35. 35.What is the average of 59, 72, 42, 49, 58 and 62? (a) 58 (b) 56 (c) 57 (d) 59
  36. 36.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 20 (b) 38 (c) 50 (d) 34
  37. 37.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 48 (c) 98 (d) 66
  38. 38.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 64 (b) 21 (c) 22 (d) 31
  39. 39.What is the average of 39, 65, 64 and 40? (a) 51 (b) 53 (c) 52 (d) 54
  40. 40.What is the average of all the whole numbers from 18 to 34? (a) 27 (b) 16 (c) 8 (d) 26

Answer key

  1. 22
  2. 60
  3. 33
  4. 48
  5. 19
  6. 28
  7. 33
  8. 51
  9. 41
  10. 58
  11. 44
  12. 43
  13. 62
  14. 95
  15. 26
  16. 33
  17. 55
  18. 74
  19. 39
  20. 63
  21. 30
  22. 59
  23. 36
  24. 110
  25. 70
  26. 40
  27. 31
  28. 68
  29. 21
  30. 41
  31. 45
  32. 49
  33. 97
  34. 7
  35. 57
  36. 50
  37. 98
  38. 21
  39. 52
  40. 26

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