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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 209 · 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 63, 35, 57, 51 and 44? (a) 51 (b) 52 (c) 49 (d) 50
  2. 2.What is the average of 51, 55, 56, 43 and 40? (a) 49 (b) 51 (c) 50 (d) 48
  3. 3.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 72 (b) 60 (c) 18 (d) 57
  4. 4.What is the average of all the whole numbers from 7 to 33? (a) 26 (b) 21 (c) 13 (d) 20
  5. 5.What is the average of 54, 43, 34, 40, 56 and 31? (a) 43 (b) 45 (c) 44 (d) 42
  6. 6.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 51 (b) 89 (c) 7 (d) 45
  7. 7.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 18 (b) 20 (c) 34 (d) 32
  8. 8.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 82 (b) 28 (c) 58 (d) 62
  9. 9.What is the average of all the whole numbers from 17 to 51? (a) 17 (b) 34 (c) 33 (d) 35
  10. 10.What is the average of 19, 39, 12 and 26? (a) 32 (b) 25 (c) 24 (d) 23
  11. 11.What is the average of 30, 28, 5 and 17? (a) 20 (b) 21 (c) 19 (d) 22
  12. 12.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 16 (b) 18 (c) 15 (d) 37
  13. 13.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 63 (b) 10 (c) 69 (d) 61
  14. 14.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 24 (b) 32 (c) 60 (d) 52
  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 49? (a) 49 (b) 57 (c) 73 (d) 32
  16. 16.What is the average of all the whole numbers from 35 to 45? (a) 41 (b) 10 (c) 5 (d) 40
  17. 17.What is the average of 52, 49, 44 and 55? (a) 52 (b) 49 (c) 50 (d) 51
  18. 18.What is the average of all the whole numbers from 39 to 67? (a) 28 (b) 53 (c) 54 (d) 14
  19. 19.What is the average of all the whole numbers from 37 to 73? (a) 18 (b) 56 (c) 36 (d) 55
  20. 20.What is the average of 51, 30, 43 and 36? (a) 42 (b) 40 (c) 41 (d) 39
  21. 21.What is the average of 41, 49, 33, 56 and 36? (a) 43 (b) 42 (c) 45 (d) 44
  22. 22.What is the average of 51, 52, 39, 30, 24 and 26? (a) 39 (b) 36 (c) 37 (d) 38
  23. 23.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 51 (b) 8 (c) 47 (d) 45
  24. 24.What is the average of all the whole numbers from 8 to 26? (a) 16 (b) 18 (c) 17 (d) 9
  25. 25.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 43? (a) 55 (b) 43 (c) 16 (d) 47
  26. 26.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 49 (b) 42 (c) 98 (d) 63
  27. 27.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 62? (a) 62 (b) 83 (c) 24 (d) 65
  28. 28.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 41 (b) 56 (c) 34 (d) 83
  29. 29.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 12 (b) 11 (c) 40 (d) 19
  30. 30.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 19 (b) 71 (c) 18 (d) 33
  31. 31.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 78 (b) 56 (c) 29 (d) 36
  32. 32.What is the average of all the whole numbers from 13 to 27? (a) 7 (b) 20 (c) 14 (d) 21
  33. 33.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 56 (b) 24 (c) 35 (d) 67
  34. 34.What is the average of all the whole numbers from 44 to 76? (a) 61 (b) 16 (c) 60 (d) 32
  35. 35.What is the average of all the whole numbers from 17 to 53? (a) 36 (b) 34 (c) 35 (d) 18
  36. 36.What is the average of all the whole numbers from 36 to 60? (a) 48 (b) 24 (c) 12 (d) 49
  37. 37.What is the average of 47, 35, 45, 33, 32 and 42? (a) 38 (b) 39 (c) 40 (d) 41
  38. 38.What is the average of all the whole numbers from 27 to 33? (a) 30 (b) 6 (c) 31 (d) 3
  39. 39.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 97 (c) 48 (d) 63
  40. 40.What is the average of all the whole numbers from 29 to 61? (a) 46 (b) 16 (c) 32 (d) 45

Answer key

  1. 50
  2. 49
  3. 72
  4. 20
  5. 43
  6. 51
  7. 34
  8. 82
  9. 34
  10. 24
  11. 20
  12. 15
  13. 69
  14. 52
  15. 73
  16. 40
  17. 50
  18. 53
  19. 55
  20. 40
  21. 43
  22. 37
  23. 51
  24. 17
  25. 55
  26. 98
  27. 83
  28. 83
  29. 11
  30. 18
  31. 78
  32. 20
  33. 56
  34. 60
  35. 35
  36. 48
  37. 39
  38. 30
  39. 97
  40. 45

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