### Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

### Watch the Clock

During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

### Walk and Ride

How far have these students walked by the time the teacher's car reaches them after their bus broke down?

# Chippy's Journeys

##### Age 7 to 11Challenge Level

Chippy the Robot was sent on a journey.

Chippy started from his base station and went $2$m (metres) N (North).
Then he turned and went $2$m E (East), $3$m N, then $3$m W (West) and $2$m S (South).
After that he went $2$m E, $3$m N and $3$m W again.
Then he went $5$m S and $4$m E.
Finally, he went $1$m S.
There he stopped.

How many metres altogether did Chippy travel on that journey?
How far and in what direction must Chippy travel to get back to his base station?

The next day Chippy went on another journey.

This time he started $3$ m (metres) West and $4$ m North of his base station. He went $6$ m E, $2$ m N, $4$ m W and $1$ m S. He then turned round and retraced his movements for $4$ m.

Where did he end up?
Can you find the shortest route to get him back to his base station?
How many metres did he have to go to get back?
Can you find him a route back which is exactly $12$ m?
How many different $12$ m routes can you find?