### The Lily Pond

Freddie Frog visits as many of the leaves as he can on the way to see Sammy Snail but only visits each lily leaf once. Which is the best way for him to go?

### Hypotenuse Lattice Points

The triangle OMN has vertices on the axes with whole number co-ordinates. How many points with whole number coordinates are there on the hypotenuse MN?

### Treasure Island

Write down what you can see at the coordinates of the treasure island map. The words can be used in a special way to find the buried treasure. Can you work out where it is?

# Cops and Robbers

##### Stage: 2, 3 and 4 Challenge Level:

Try to decide which places are good for first guesses.

Once you've got feedback on your first guess identify all the possible places where the robber could be. What pattern does this make?

Have another guess. Use the feedback to identify all the possible places where the robber could be.

Now use the feedback from both guesses to find some overlapping points.

Continue in the same way...