Mathematics Past Questions and Answers

Which of the following is not true? You may construct a

A Triangle given all the three sides
B Triangle given one side and two angles
C Triangle given two sides and the included angle
D Quatrilateral given all the four sides
E Parallelogram given two adjacent sides and the diagonal joining them

Question 1872:

In the diagram above, PQ is parallel to RST. /RS/ = /SQ/ = /TQ/ and ∠PQR = 35^o.Calculate ∠SQT

A 30^o
B 35^o
C 40^o
D 70^o
E 110^o

Question 1873:

In the diagram above, /PQ/ = /PS/ and /QR/ = /SR/. Which of the following is/are true? i. the line PR bisects ∠QRS ii. The line PR is the perpendicular bisector of the line segment QS iii. Every point on PR is equidistant from SP and QP

A I only
B III only
C I and II only
D I and III only
E I, II and III

Question 1874:

In the diagram, ∠PMN = ∠PRQ and ∠PNM = ∠PQR. If /Pm/ = 3cm, /MQ/ = 7cm and /PN/ = 5cm, find /NR/

A 1cm
B 3cm
C 3¹/₂
D 5cm
E 6cm

Question 1875:

In the diagram above, PQ is a tangent to the circle MTN at T. What is the size of ∠MTN?

A 52^o
B 54^o
C 66^o
D 72^o
E 128^o