Brave puzzle
Only for the brave, this one!
Fig: brave_puzzle.png
This square has eleven letters missing, which you have to replace. Every row, column AND the main diagonals contain all the letters in the word "BRAVE".
Ans: Note that all B's are filled in. Only two Rs and two Es are to be filled while 3 Vs and 4 As are needed.
So let's start with the Rs. Only the first and last column don't have R. If we look at the first column, we can fill R in either the third or fifth row. But if you look at the last column, we can only fill it in the fifth row. Since each row must have an R, we will fill R in the last column, 5th row. So we now need an R in the first column. The only position possible is in the third row. We now have the grid shown in the first figure.
What about the letter E? It is missing in the first and fourth columns.  Again, looking at the first column, we can only add it in the fourth row. Immediately we see that we can only put the second E in row 3. We now have the grid seen in the second figure.
Now we have to insert 3 Vs in the grid. But if you look at the figure, you will notice that row 3 and column 4 have only one letter missing, which is A. So we insert that first. Now we immediately see that column 2 now has only one letter missing, which is V, so we insert that too. Rows 1 and 3 are complete and rows 2, 4, and 5 all have only one letter (A or V) missing. We can easily fill the grid: see the final figure for the complete solution.
(Solution has Figs 1, 2 and 3_brave.png)
From mathsisfun.com

2. Shapes Puzzle
How many triangles are there in this diagram?
(Fig: count-the-shapes.png)
Bonus question: How many quadrilaterals?
Ans: 64 Triangles.
(Fig: count-the-shapes-soln.png)
Here is our count of triangles; most counts are doubled due to symmetry. They are ordered in a symmetric way so you can see the counting. There are also 36 quadrilaterals.
From mathsisfun.com