Manos and Raja make $\$96$ selling handcrafts. They share the income in the ratio $7:5$. How much does Raja receive? 

Say whether the following statement is true or false. If a statement is false, explain why it is false.

The ratio $1:6$ is the same as the ratio $6:1$

Silvia makes a scale drawing of her bedroom using a scale of $1:25$. If one wall on the diagram is $12 \mathrm{cm}$ long, how long (in $\mathrm{cm}$) is the wall in her room?

A recipe for dough uses three parts wholemeal flour for every four parts of plain flour. What volume of wholemeal flour would you need if you used $12$cups of plain flour?

A map is drawn to a scale of $1:1000000$.

A forest on the map has an area of $4.6 {\mathrm{cm}}^2$.

Calculate the actual area of the forest in square kilometres.

$y$ is directly proportional to the square of $(x-1)$.

$y=63$ when $x=4$.

Find the value of $y$ when $x=6$.