WAEC Mathematics Past Questions & Answers - Page 132

656.

Factorize: x + y - ax = ay

A.

(x - y)(1 - a)

B.

(x + y)(1 + a)

C.

(x + y)(1 - a)

D.

(x - y)(1 + a)

Correct answer is C

x + y - ax = ay

= (x + y) -a(x + y) = (x + y)(1 - a)

657.

Simplify 0.000215 x 0.000028 and express your answer in standard form

A.

6.03 x 109

B.

6.02 x 109

C.

6.03 x 10-9

D.

6.02 x 10-9

Correct answer is D

0.000215215 x 0.000028

= 215 x 10-4 x 28 x 10-4

= 215 x 28 x 10-6-6

= 6020 x 10-12

= 6.020 x 103 x 10-12

= 6.02 x 103 - 12

= 6.02 x 10-9

658.

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.

659.

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

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

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

660.

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