Mathematics Practice Test – Plane Geometry (Questions with Answers and Explanations)

In the diagram, BCD is an isosceles triangle in which angle BCD = 108^o.  DE is a straight perpendicular to side DB at D. Calculate angle CDE. (WASSCE 2020)

In the diagram, POS and ROT are straight lines, OPQR is a parallelogram, |OS| = |OT| and angle OST= 50^o. Calculate the value of angle OPQ. (WASSCE 2019)

In the diagram, PU//SR, PS//TR, QS//UR, |UR| = 15 cm, |SR| = 8 cm and area of triangle SUR = 24 cm². Calculate the area of PTRS. (WASSCE 2020)

In the diagram above, PQ is parallel to RS, angle QFG = 105^o and angle FEG = 50^o. Find the value of n^o. (WASSCE 2019)

In the diagram, PQ//SR. Find the value of x. (WASSCE 2020)

In the diagram, MN//PQ, angle MNP = 2x and angle NPQ = (3x – 50^o), find the value of angle NPQ. (WASSCE 2020)

In the diagram, XYZ is an equilateral triangle of side 6 cm and T is the mid-point of XY. Find tan (angle XZT). (WASSCE 2020)

In the diagram above, PQ is parallel to RS, angle QFG = 105^o and angle FEG = 50^o. Find the value of m^o. (WASSCE 2019)

In triangle XYZ, |YZ| = 32 cm, angle YXZ = 52^o and angle XZY = 90^o. Find, correct to the nearest centimeters, |XZ|. (WASSCE 2019)

In the diagram, PQ is a straight line. If m = ½(x + y + z), find the value of m. (WASSCE 2020)