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WAEC Mathematics Past Questions & Answers - Page 132

656.

Factorize: x + y - ax = ay

(x - y)(1 - a)

(x + y)(1 + a)

(x + y)(1 - a)

(x - y)(1 + a)

View answer & explanation

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

6.03 x 10⁹

6.02 x 10⁹

6.03 x 10^-9

6.02 x 10^-9

View answer & explanation

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 10^{3 - 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/

i only

i and ii only

ii and iii only

i, ii and iii

View answer & explanation

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?

$\frac{3}{10}$

$\frac{2}{9}$

$\frac{5}{18}$

$\frac{7}{10}$

View answer & explanation

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?

840

864

920

960

View answer & explanation

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