Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

1,691.

The figure is an example of the construction of a

A.

perpendicular bisector of a given straight line QR

B.

perpendicular from a given point to a given line QR

C.

perpendicular to a line from a given point P on that line

D.

given angle

Correct answer is B

QR is a given line and P is a given point. The construction is the perpendicular from a given point P to a given line QR

1,692.

In the figure, find the value of x

A.

110o

B.

100o

C.

90o

D.

80o

Correct answer is C

Z = X = Y = 180o .........(i)

2Z + Y + Y = 190 = 2Z + 2Y = 180

Z + Y = 90o........(ii)

hence x + (z + y) = 180

x + 90o = 180o

x = 180o - 90o

= 90o

1,693.

Three angles of a nonagon are equal and the sum of six other angles is 1110o. Calculate the size of one of the equal angles.

A.

210o

B.

150o

C.

105o

D.

50o

Correct answer is D

Sum of interior angles of any polygon is (2n - 4) right angle; n angles of the nonagon = 9

where 3 are equal and 6 other angles = 1110o

( 2 x 9 - 4)90o = (18 - 4)90o

= 14 x 90o = 1260o

9 angles = 12600, 6 angles = 1110o

Remaining 3 angles = 1260o - 1110o = 150o

size of one of the3 angles \(\frac{150}{3}\) = 50o

1,694.

In the diagram above, QR // TS, QR : TS = 2.3, Find the ratio of the area of triangle PQR to the area of the trapezium QRST.

A.

4:9

B.

4:5

C.

1:3

D.

2:3

Correct answer is B

h1 = \(\frac{h_1 + h_2}{1.5}\) = \(\frac{h_1}{h_2} = 2\)

\(\frac{A_{\bigtriangleup PQR}}{A_{TP(QRST)}} = \frac{\frac{1}{2} \times 2 \times h_1}{\frac{1}{2} \times h_2 (2 + 3)}\)

\(\frac{2}{5} \times \frac{h_1}{h_2} = \frac{2}{5} \times 2\)

= \(\frac{4}{5}\)

1,695.

In the diagram, POQ is a diameter, 0 is the centre of the circle and TP is a tangent. Find the value of x

A.

30o

B.

40o

C.

45o

D.

50o

Correct answer is A

From the diagram, POQ is a diameter; o is the centre of the circle and TP is a tangent where RTP = 30o

RTP = RQP = x(at circumference = made by tangent outside the circle) i.e x = 30o