### Great Squares

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

### Walk and Ride

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

### Rolling Around

A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?

# Defined Distances

##### Stage: 3 Short Challenge Level:
See all short problems arranged by curriculum topic in the short problems collection

Mark marked out the points $J$, $K$, $L$ and $M$ on a straight line, so that $JK=13$cm, $KL=11$cm, $LM=14$cm and $MJ=12$cm. What is the distance, in cm, between the two points furthest apart?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.