UTME/SSCE Mathematics Practice Tests – Plane and Circle Geometry

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


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(Numbers indicate the lengths of the sides of the triangles).

If the area of A PLR is k2 sq. units what is the area of the shaded portion?

A. \frac{5}{9}  k2 sq.units     B. \frac{1}{3}  k2 sq.units     C. \frac{8}{9}  k2 sq. units     D. \frac{7}{9}  k2 sq. units


If O is the centre of the circle, ∠POS equals ______

A. 70o    B. 75o     C. 105o    D. 150o


In the diagram, MN||PO, angle PMN = 112o, angle PNO = 129o, angle NOP = 37o and angle MPN = y. Find the value of y.

A. 51o     B. 54o     C. 56o     D. 68o

In the figure below AB is parallel to CD


then x + y + z = ______

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

Plane and Circle Geometry:


In the diagram, O is the center of the circle, OM||XZ and angle ZOM = 25o. Calculate angle XYZ

A. 50o    B. 55o    C. 60o    D. 65o



In the parallelogram PQRS, PE is perpendicular to QR. Find the area of the parallelogram

A. 60cm2    B. 65cm2     C. 72cm2     D. 144cm2


In the diagram, O is the center of the circle PQRS and angle PSR = 86o. If angle POR = xo, find x.

A. 274     B. 172     C. 129     D. 86


In the diagram, MN, PQ, and RS are three intersecting straight lines. Which of the following statement(s) is/are true?

I. t = y
II. x + y + z + m = 180o
III. x + m + n = 180o
IV. x + n = m + z

A. I and IV only     B. II only     C. III only     D. IV only

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.      B.      C.      D.

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