WAEC Mathematics Past Questions & Answers - Page 326

1,626.

Simplify \(\frac{9^{-\frac{1}{2}}}{27^{\frac{2}{3}}}\)

A.

1

B.

1/3

C.

1/9

D.

1/18

E.

1/27

Correct answer is E

\(\frac{9^{-\frac{1}{2}}}{27^{\frac{2}{3}}}\)

=\(\frac{3^{-1}}{3^2}\) = \(\frac{1}{27}\)

1,627.

In the diagram above O is the center of the circle, if ∠PAQ = 75o, what is the value of ∠PBQ?

A.

15o

B.

75o

C.

105o

D.

150o

E.

210o

Correct answer is C

< PBQ = 180° - 75° (opp angles of a cyclic quadrilateral)

= 105°