### Man Food

Sam displays cans in 3 triangular stacks. With the same number he could make one large triangular stack or stack them all in a square based pyramid. How many cans are there how were they arranged?

### Sam Again

Here is a collection of puzzles about Sam's shop sent in by club members. Perhaps you can make up more puzzles, find formulas or find general methods.

### Pick

Investigate polygons with all the vertices on the lattice points of a grid. For each polygon, work out the area A, the number B of points on the boundary and the number of points (I) inside the polygon. Can you find a formula connecting A, B and I?

# Letter Land

##### Stage: 3 Challenge Level:

If

$A + C = A$

$F \times D = F$

$B - G = G$

$A + H = E$

$B / H = G$

$E - G = F$

and $A$-$H$ represent the numbers from $0$ to $7$

Find the values of $A, B, C, D, E, F, G$ and $H$.