Maze 100

Can you go through this maze so that the numbers you pass add to exactly 100?

Watch Your Feet

I like to walk along the cracks of the paving stones, but not the outside edge of the path itself. How many different routes can you find for me to take?

Delia's Routes

A little mouse called Delia lives in a hole in the bottom of a tree.....How many days will it be before Delia has to take the same route again?

The Lily Pond

Stage: 2 Challenge Level:

Why do this problem?

This problem can be a useful introduction to the idea of coordinates. It lends itself to working together in a systematic way.

Key questions

Where could Freddie go from here?

Can you find another way for Freddie to go?

How will you keep track of Freddie's jumps?

Can you find another place for Sammy to go so that Freddie jumps on all the leaves?

Possible extension

Children who are familiar with the coordinate system might like to try the Treasure Island problem.

Possible support

Some learners will find it helpful to have a copy of the picture and to draw routes onto it.

Working systematically. Route inspection problems. Trial and improvement. Interactivities. Networks/Graph Theory. Perpendicular lines. Visualising. Combinations. Coordinates - all quadrants. Coordinates - first quadrant.

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