Problems adapted from questions set for previous Mathematics exams.
The exterior angle of a regular polygon is 72°
What is the name of the regular polygon?
The diagram, not drawn to scale, show a polygon with one line of symmetry, AE.
Angle HAB is 90° and interior angle DEF is 220°.
Work out the size of angle ABC which is half the size of interior angle BCD and twice the size of angle CDE.
A number of regular pentagons and squares are arranged around the outside of a large blue regular polygon. Just the lower part of the arrangement is shown below.
How many sides does the large blue regular polygon have?
PQRS is a rhombus and C is the midpoint of QS.
The angle QRS is 120o and A is the point on QS such that PA = AQ.
Calculate the size of angle CPA.
The diagrams are not drawn to scale
ABCDEF is a hexagon with AB parallel to ED and BC parallel to FE.
GFE and GABH are straight lines. Angle CBH = 70o and angle EFA = 90o.
Calculate the values of:
K, P, J and N are points on a circle and KN = NP.
KJ is a diameter and LKM is the tangent to the circle at K.
Angle LKN = 59o.
Find the values of:
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