11 Plus Entrance Exams including CEM (Durham University) exams.
Area and Perimeter of compound shapes.
This is an important and a popular topic for all the entrance exams (11 plus as well as independent school entrance exams). In the CSSE exam there was a question on composite shapes every year for the past 11 years. It also appeared in the CEM (Durham University) exams over the past two years.
For the 11 plus entrance exam, pupils need to be able to
- work out the perimeter of 2-dimensional shapes:
- normally some of the side-lengths are unknown and pupils must first work out the lengths of all the sides.
- all sides can be given as letters and pupils need to use algebraic manipulation to find the perimeter.
- work out the area of the following 2-dimensional shapes
- area of a square
- area of a rectangle
- area of a parallelogram
- area of a triangle
- area of a trapezium
- work out the area of compound/composite shapes,
- work out the number of tiles needed to cover a certain area,
- work out the amount of paint needed to paint a certain area,
- find the lengths of sides from given coordinates to work out the area and perimeter.
The accompanying videos show you how to work out the area of a compound shape and how to work out the number of tiles needed to cover a certain area.
Area of compound shapes Video
Number of tiles needed to cover a certain area video