WAEC Mathematics Past Questions & Answers - Page 200

997.

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

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

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

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

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

998.

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°

999.

Which of the following is not a rational number?

A.

-5

B.

\(\sqrt{4}\)

C.

\(3\frac{3}{4}\)

D.

\(\sqrt{90}\)

Correct answer is D

No explanation has been provided for this answer.

1000.

The number of goals scored by a school team in 10 netball matches are as follows: 3, 5, 7, 7, 8, 8, 8, 11, 11, 12. Find the probability that in a match, the school team will score at most 8 goals.

A.

\(\frac{7}{10}\)

B.

\(\frac{2}{5}\)

C.

\(\frac{3}{5}\)

D.

\(\frac{1}{5}\)

Correct answer is A

Number of at most 8 goals = 7

P(at most 8 goals) = \(\frac{7}{10}\)