Here are two right-angled triangles.

Given that

      $tane=tanf$

find the value of $x$.

You must show all your working.

The cost of one ruler is $r$ cents.
The cost of one protractor is $p$ cents.
The total cost of 5 rulers and 1 protractor is 245 cents.
The total cost of 2 rulers and 3 protractors is 215 cents.
Write down two equations in terms of $r$ and $p$ and solve these equations to find the cost of one protractor.

........................................... cents 

Here is a right-angled triangle.

All measurements are in centimetres.
The area of the triangle is 2.5 cm² .

Find the perimeter of the triangle.
Give your answer correct to 3 significant figures.
You must show all of your working.

Here is a cuboid.

All measurements are in centimetres. $x$ is an integer. The total volume of the cuboid is less than 900 cm³

Show that $x$$⩽$ 5