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.

591.

In the diagram, WXYZ is a rectangle with diamension 8cm by 6cm. P, Q, R and S are the midpoints of the rectangle as shown. Using this information calculate the area of the part of the rectangle that is not shaded

A.

25cm\(^2\)

B.

24cm\(^2\)

C.

16cm\(^2\)

D.

12cm\(^2\)

Correct answer is B

Area of shaded part = 2 x area of \(\bigtriangleup\)SPQ

= 2 x \(\frac{1}{2}\) 8 x 3 =24cm

Hence, area of the unshaded part of the rectangle = area of rectangle - area of shaded part

= 8 x 6 - 24

= 48 - 24

= 24 cm\(^2\)

592.

In the diagram, PS and RS are tangents to the circle centre O. ∠PSR = 70°, ∠POR = m, and ∠PSR =n. Find ( m + n ).

A.

110\(^o\)

B.

135\(^o\)

C.

165\(^o\)

D.

225\(^o\)

Correct answer is C

In the diagram,

 

Thus, m = 2 x 55\(^o\) (is a bisector of obtuse

m = 110\(^o\)

n = \(\frac{1}{2}\) x 110\(^o\) (angle at centre = 2 x angle at circum)

n = 55\(^o\)

m + n =  110 + 55 = 165\(^o\)

 

594.

In the diagram, PR is a tangent to the circle at Q, QT//RS,

A.

40\(^o\)

B.

65\(^o\)

C.

85\(^o\)

D.

95\(^o\)

Correct answer is D

In the diagram,

a = 50\(^o\) (alternate angles)

b\(_1\) + a 35\(^o\) = 180\(^o\) (sum of angles on a straight line)

i.e; b\(_1\) + 50\(^o\) + 35\(^o\)

= 180v

b\(_1\) + 180\(^o\) - 85\(^o\) = 90\(^o\)

But b\(_2\) = \(b_1\) = 95\(^o\) (angles in alternate segement)

<QST = b\(_2\) = 95\(^o\)

595.

Find the value of t in the diagram

A.

63\(^o\)

B.

117\(^o\)

C.

126\(^o\)

D.

234\(^o\)

Correct answer is C

In the diagram,

\(\alpha\) = 180\(^o\) - 177\(^o\) (angles on a straight line)

\(\alpha\) = 63\(^o\)

t = 2 x 63\(^o\) (angle at centre = 2 x angle at circum)

= 126\(^o\)