WAEC Mathematics Past Questions & Answers - Page 133

661.

From the diagram which of the following statements are correct? i. XQ is a radius of a circle centre Q. ii. /XQ/ = /QY/. iii. /QX/ = /XY/

A.

i only

B.

i and ii only

C.

ii and iii only

D.

i, ii and iii

Correct answer is B

No explanation has been provided for this answer.

662.

The pie chart shows the distribution of 4320 students who graduated from four departments in a university. If a student is picked at random from the four departments, what id the probability that he is not from the education department?

A.

\(\frac{3}{10}\)

B.

\(\frac{2}{9}\)

C.

\(\frac{5}{18}\)

D.

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

Correct answer is D

\(\frac{\text{education}}{\text{graduates}} = \frac{108}{360} \times 4320\)

= 1296

Pr(Education) = \(\frac{1296}{4320} = \frac{1}{10}\)

pr(not education) = 1 - \(\frac{3}{10}\)

= \(\frac{10 - 3}{10}\)

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

663.

The pie chart shows the distribution of 4320 students who graduated from four departments in a university. How many students graduated from the science department?

A.

840

B.

864

C.

920

D.

960

Correct answer is B

\(\frac{\text{science}}{\text{graduates}}\) = \(\frac{\theta}{360}\) x 4320

where \(\theta\) + 100 + 80 + 108 = 360

\(\theta\) = 360 - 288 = 360

\(\frac{\text{science}}{\text{graduates}}\) = \(\frac{72}{360} \times 4320\)

= 864

664.

In the diagram, angle 20o is subtended at the centre of the circle, find the value of x

A.

30o

B.

50o

C.

80o

D.

100o

Correct answer is B

2(30 + x) = 360 - 200

60 + 2x = 160

2x = 160 - 60

2x = 100

x = \(\frac{100}{2}\)

x = 50

665.

If /XY/ = 50m, how far cast of X is Y?

A.

25.5m

B.

40.6m

C.

40.8m

D.

43.3m

Correct answer is D

Required distance = x

where \(\frac{1}{50m}\) = sin 60 x 50m x 0.866

x = 43.3m