Grid Puzzles

Look at this grid made with
12 matches.
If you count the match
“heads” in each
column you will see that
there are 3 in
the first, 5 in the second
and 4 in the third.
Now look at the rows. There are
2 heads
in the bottom row, 7 in the
middle row
and 3 in the top row.
3 5 4
Puzzle 1
The first challenge is to
build a grid just like this one but with an
equal number of heads in
every row and every column.
Puzzle 2
Now look at the diagonals in
your solution.
Can you arrange the matches
so that you keep the same number of
heads in each row and column
but also have 5 in each of the two diagonals?
Puzzle 3
Now try and arrange the
matches so that the number of heads
in each row and column remains
the same but the number in
each diagonal is 8?
Larger
Grid Puzzles
Now take 24 matches and
make the 3 by 3 square grid
Puzzle 1
Can you arrange the matches
so
that there are an equal
number
of heads in each row and
column?
Puzzle 2
Arrange the matches so that
the number of heads in each row,
column and main diagonals are
all equal.
Puzzle 3
Arrange the matches so that
the number of heads in each row and
column are equal and there
are 8 heads in both main diagonals.
Puzzle 4
Arrange the matches so that
the number of heads in each row and
column are equal and there
are 4 heads in both main diagonals.