Plane Geometry
GCE Mathematics
9 Plane Geometry practice questions covering everything you need for GCE.
Drill Plane Geometry →Sample Plane Geometry questions
In the diagram, ABCD is a cyclic quadrilateral in which AB = BC. The diagonal BD is produced to E such that angle AEB = 35° and angle ABE = 75°. (a) Find angle BAE. (b) Find angle ADB. (c) If angle B…
In the figure, PQR is a triangle. S is a point on QR such that PS is perpendicular to QR. T is the midpoint of PR. Given that angle QPR = 90°, PQ = 8 cm, PR = 6 cm and QR = 10 cm. (a) Calculate the l…
A circle has a chord of length 16 cm. If the chord is 6 cm from the centre of the circle, find the radius of the circle.
ABCD is a cyclic quadrilateral. If angle DAB = 78° and angle ABC = 105°, find angle BCD.
The angles of a triangle are in the ratio 2:3:5. Find the largest angle.
In triangle XYZ, XY = 8 cm, YZ = 6 cm and angle XYZ = 90°. A point W lies on XZ such that YW is perpendicular to XZ. Find the length of YW.
O is the centre of a circle and angle AOB = 140°, where A and B are points on the circle. Find the angle in the alternate segment, that is, the angle subtended by arc AB at any point on the major arc.
Two exterior angles of a polygon are 45° and 60°, and each of the remaining exterior angles is 35°. How many sides has the polygon?
In the diagram, PQ is parallel to RS. If angle QPT = 65° and angle RST = 48°, find angle PTS.