Mathematics Practice Tests (SS1 – SS3) – Plane and Circle Geometry

Hello and Welcome to Mathematics Practice Tests - Plane and Circle Geometry

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If QR = 3, PS = x, ∠PQS = 30o, ∠PRS = 45o and ∠PSR = 90o, find the value of x in the diagram below.

A. $\sqrt{3}$      B. $\frac{3\left&space;(&space;\sqrt{3}-1&space;\right&space;)}{\sqrt{3}+1}$      C. $\frac{3}{\sqrt{3}+1}$      D. $\frac{3\left&space;(&space;\sqrt{3}+1&space;\right&space;)}{\sqrt{2}}$

In the figure below AB is parallel to CD

then x + y + z = ______

A. 195o      B. 200o      C. 360o      D. 180o

In the figure below PQ is parallel to SR, QS bisects ∠PSR, ∠PQS is 65o and ∠RPS is 20o.

What is the size of ∠PRS?

A. 45o      B. 35o      C. 40o      D. 30o

In the figure below ΔABC and ΔAED are in adjacent planes. AB = AC = 5cm, BC = 6cm and ∠ADE = 60°, then AE is equal to _____

A. $3\sqrt{2}$     B. $2\sqrt{3}$     C. $\frac{\sqrt{3}}{2}$     D. $\frac{2}{\sqrt{3}}$

In the figure above, PQ is parallel to RS. Calculate the value of x

A. 20o    B. 40o    C. 60o    D. 80o

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