1. Further Mathematics Support Programme

2. Diagonals in a Dodecagon
Let Maths take you Further…

3. Diagonals in a dodecagon
How many different length diagonals are there in a regular dodecagon?

4. Diagonals in a dodecagon
The side length AB is 2 units.
All shapes shown are regular.
The diagonal AD is a line of symmetry for the squares and triangles it dissects.
How could you calculate the lengths: AC AD AE AF
AG?

5. Surds skills Expanding the expression: 𝑎 + 𝑏 2 =𝑎+𝑏+2 𝑎𝑏
Hence, to find the square root of an expression involving surds, it is sometimes possible to manipulate the expression in order to obtain something in the form of: 𝑎+𝑏+2 𝑎𝑏
This can then be factorised to: 𝑎 + 𝑏 2
Finding the square root of this gives: ( 𝑎 + 𝑏 )

6. Surds skills Simplify 𝟏𝟏+𝟒 𝟔 This has to be ‘2’ 11+4 6 = 11+2 24=
= × 3
= ( ) 2
=  
Try the method to simplify the following expressions:
a) b) c)
This has to be ‘2’