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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 708 · 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 37, 22, 17 and 44? (a) 30 (b) 29 (c) 40 (d) 31
  2. 2.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 58 (b) 20 (c) 21 (d) 28
  3. 3.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 69 (b) 40 (c) 45 (d) 37
  4. 4.What is the average of 49, 66, 63 and 38? (a) 55 (b) 54 (c) 72 (d) 53
  5. 5.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 45 (b) 42 (c) 51 (d) 12
  6. 6.What is the average of 27, 25, 27 and 57? (a) 33 (b) 34 (c) 35 (d) 36
  7. 7.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 97 (b) 39 (c) 47 (d) 38
  8. 8.What is the average of 52, 51, 49, 77, 65 and 84? (a) 65 (b) 64 (c) 63 (d) 62
  9. 9.What is the average of 24, 42, 20 and 46? (a) 34 (b) 44 (c) 32 (d) 33
  10. 10.What is the average of all the whole numbers from 19 to 31? (a) 6 (b) 25 (c) 26 (d) 12
  11. 11.What is the average of all the whole numbers from 26 to 42? (a) 8 (b) 35 (c) 16 (d) 34
  12. 12.What is the average of 79, 62, 67, 56, 57 and 99? (a) 84 (b) 70 (c) 71 (d) 69
  13. 13.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 22? (a) 24 (b) 8 (c) 22 (d) 28
  14. 14.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 102 (b) 80 (c) 30 (d) 38
  15. 15.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 8 (c) 48 (d) 52
  16. 16.What is the average of all the whole numbers from 14 to 26? (a) 6 (b) 12 (c) 21 (d) 20
  17. 17.What is the average of all the whole numbers from 30 to 64? (a) 34 (b) 17 (c) 48 (d) 47
  18. 18.What is the average of 84, 85, 66, 85 and 35? (a) 73 (b) 70 (c) 72 (d) 71
  19. 19.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 32 (b) 67 (c) 43 (d) 39
  20. 20.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 50 (b) 98 (c) 42 (d) 64
  21. 21.What is the average of all the whole numbers from 20 to 56? (a) 36 (b) 18 (c) 38 (d) 39
  22. 22.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 48 (b) 93 (c) 12 (d) 57
  23. 23.What is the average of all the whole numbers from 34 to 40? (a) 37 (b) 3 (c) 38 (d) 6
  24. 24.What is the average of 58, 77, 67, 80 and 53? (a) 69 (b) 66 (c) 67 (d) 68
  25. 25.What is the average of 38, 57, 61, 39 and 55? (a) 49 (b) 51 (c) 50 (d) 52
  26. 26.What is the average of 48, 33, 51, 40, 42 and 44? (a) 42 (b) 43 (c) 44 (d) 45
  27. 27.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 1 (b) 77 (c) 2 (d) 36
  28. 28.What is the average of all the whole numbers from 38 to 58? (a) 20 (b) 10 (c) 48 (d) 49
  29. 29.What is the average of all the whole numbers from 40 to 72? (a) 56 (b) 16 (c) 32 (d) 57
  30. 30.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 85 (b) 60 (c) 55 (d) 35
  31. 31.What is the average of all the whole numbers from 32 to 68? (a) 36 (b) 51 (c) 50 (d) 18
  32. 32.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 40 (b) 33 (c) 28 (d) 54
  33. 33.What is the average of 40, 20, 46, 25 and 39? (a) 36 (b) 35 (c) 34 (d) 33
  34. 34.What is the average of 58, 39, 59, 33 and 51? (a) 47 (b) 48 (c) 49 (d) 60
  35. 35.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 44 (b) 35 (c) 39 (d) 69
  36. 36.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 50 (b) 45 (c) 44 (d) 101
  37. 37.What is the average of all the whole numbers from 34 to 68? (a) 52 (b) 51 (c) 34 (d) 17
  38. 38.What is the average of all the whole numbers from 32 to 64? (a) 16 (b) 48 (c) 32 (d) 49
  39. 39.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 27 (b) 28 (c) 33 (d) 68
  40. 40.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 28 (b) 25 (c) 57 (d) 26

Answer key

  1. 30
  2. 20
  3. 69
  4. 54
  5. 51
  6. 34
  7. 38
  8. 63
  9. 33
  10. 25
  11. 34
  12. 70
  13. 28
  14. 102
  15. 52
  16. 20
  17. 47
  18. 71
  19. 67
  20. 98
  21. 38
  22. 57
  23. 37
  24. 67
  25. 50
  26. 43
  27. 1
  28. 48
  29. 56
  30. 85
  31. 50
  32. 54
  33. 34
  34. 48
  35. 69
  36. 44
  37. 51
  38. 48
  39. 27
  40. 25

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