WAEC Mathematics Past Questions & Answers - Page 201

1,004.

Simplify \(\left(\frac{3}{4} - \frac{1}{3}\right)\times 4\frac{1}{3}\div 3\frac{1}{4}\)

A.

\(\frac{5}{9}\)

B.

\(\frac{5}{16}\)

C.

\(\frac{8}{13}\)

D.

\(\frac{16}{5}\)

Correct answer is A

\((\frac{3}{4} - \frac{1}{3}) \times 4\frac{1}{3} \div 3\frac{1}{4}\)

= \((\frac{9 - 4}{12}) \times \frac{13}{3} \div \frac{13}{4}\)

= \(\frac{5}{12} \times \frac{13}{3} \times \frac{4}{13}\)

= \(\frac{5}{9}\)

1,005.

In the diagram, LMT is a straight line. lf O is the centre of circle LMN, OMN = 20°, LTN = 32° and |NM| = |MT|, find LNM.

A.

44o

B.

46o

C.

52o

D.

70o

Correct answer is B

< MNT = < MTN = 32°

< NMT = 180° - 2(32°) = 116°

< OMN + < NMT + < LMO = 180°

20° + 116° + < LMO = 180° \(\implies\) < LMO = 180° - 136° = 44°

< LMN = < LMO + < OMN

= 44° + 20° = 64°

< NOM = 180° - 2(20°) = 140°

< NLM = \(\frac{1}{2} \times < NOM = 70°\)

< LNM + < LMN + < NLM = 180°

< LNM + 64° + 70° = 180°

< LNM = 180° - 134° = 46°