WAEC Mathematics Past Questions & Answers - Page 97

481.

In the diagrams, |XZ| = |MN|, |ZY| = |MO| and |XY| = |NO|. Which of the following statements is true?

A.

\(\bigtriangleup\) ZYX = \(\bigtriangleup\) OMN

B.

\(\bigtriangleup\) YZX = \(\bigtriangleup\) NOM

C.

\(\bigtriangleup\) ZXY= \(\bigtriangleup\) MON

D.

\(\bigtriangleup\) XYZ= \(\bigtriangleup\) NOM

Correct answer is D

No explanation has been provided for this answer.

482.
483.

In the diagram, PRST is a square. If |PQ| = 24cm. |QR| = 10cm and < PQR = 90o, find the perimeter of the polygon PQRST.

A.

112cm

B.

98cm

C.

86cm

D.

84cm

Correct answer is A

No explanation has been provided for this answer.

484.

An open cone with base radius 28cm and perpendicular height 96cm was stretched to form sector of a circle. calculate the arc of the sector (Take \(\pi = \frac{22}{7}\))

A.

8800cm2

B.

8448cm2

C.

4400cm2

D.

4224cm2

Correct answer is A

L2 = 962 + 282

= 9216 + 784

= 10000

L = \(\sqrt{10000}\)

= 100cm

curved surface area = \(\pi r l\)

= \(\frac{22}{7} \times 28 \times 100\)

= 8800cm2

area of cone = area of sector

area of sector = 8800cm2

485.

Given that (x + 2)(x2 - 3x + 2) + 2(x + 2)(x - 1) = (x + 2) M, find M

A.

(x + 2)2

B.

x(x + 2)

C.

xv + 2

D.

x2 - x

Correct answer is D

(x = 2)(x2 - 3x + 2) + 2(x + 2)(x - 1) = (x + 2)m

(m + 2)[(x2 - 3x + 2) + 2(x - 1)] = (x + 2)M

divide both side by (x + 2)

(x2 - 3x + 2) + 2(x - 1) = M

x2 - 3x + 2 + 2x - 2 = M

x2 - 3x + 2 + 2x - 2 = M

x2 - 3x + 2x = M

x2 - x = M

M = x2 - x