The diagram shows a circular cone that has been filled to a depth of $18 \mathrm{cm}$. Find $r$ if the radius of the top of the cone is $r \mathrm{cm}$.

  

The diagram shows a stepladder that is held in place by an $80 \mathrm{cm}$ piece of wire. Find $x$ in $\mathrm{cm}$.

Establish whether the pair of shapes is similar or not. Show your working.

Establish whether the pair of shapes is similar or not. Show your working.

Establish whether the pair of shapes is similar or not. Show your working.

Establish whether each pair of shapes is similar or not. Show your working.

Establish whether the pair of shapes is similar or not. Show your working.

Establish whether the pair of shapes is similar or not. Show your working.

In the part of this question, the two shapes given are mathematically similar to one another. Calculate the unknown length.