Answer
6: the numbers denote the number of letters each month has starting with January, therefore August has 6 letters.
?
Puzzle 2
In the local wood there are a number of trees. On these trees there are a number of birds.
A local bird spotter knows that there are as many birds on each tree as there are trees in the wood, and that there are between 2,000 and 2,100 birds in total.
Reasoning
We are after a number whose square lies between 2,000 and 2,100.
45 is the only possible number.
??
Puzzle 3
During the recent BrainBashers Football Competition, 5 teams were competing.
Each team played each other just once, with 2 points for a win, 1 point for a draw, and 0 points for a loss.
However, the rain damaged the final scoresheet, and this is all that could be read of the final points after all of the matches:
Rugby 6
Grimsby 5
Hereford 4
Lichfield 2
Reading ?
Can you work out how many points Reading ended the season with?
Reasoning
There were 5 teams in the league, and every team played every other, so there were a total of 10 games played:
Rugby vs Grimsby
Rugby vs Hereford
Rugby vs Lichfield
Rugby vs Reading
Grimsby vs Hereford
Grimsby vs Lichfield
Grimsby vs Reading
Hereford vs Lichfield
Hereford vs Reading
Lichfield vs Reading
We know that 2 points were allocated for each game played. Which means that there were a total of 20 points over the 10 games.
Since the given results add to 17, the remaining 3 points belong to Reading.
?
Puzzle 4
Place letters into the grid such that every row, column, and 2 x 2 block has letters (in any order) that form a common word. Each letter is only used once, and no letter is repeated in the rows / cols / blocks.
Letters allowed: C O L U M B U S
D
K
P
E
T
E
L
A
Note: this puzzle is not interactive, and the squares cannot be clicked.