### 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?

# Weekly Problem 17 - 2013

##### Stage: 2 and 3 Challenge Level:
$S \times B = 12$

In the family, there are 3 boys and 6 girls. So Tom has 2 brothers and 6 sisters.

This problem is taken from the UKMT Mathematical Challenges.

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