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WAEC Mathematics Past Questions & Answers - Page 40

196.

The foot of a ladder is 6m from the base of an electric pole. The top of the ladder rest against the pole at a point 8m above the ground. How long is the ladder?

A.

14m

B.

12m

C.

10m

D.

7m

View answer & explanation

Correct answer is C

H $^2$ = 8 $^2$ + 6 $^2$ + 6 $^2$

H $^2$ = 64 + 36 = 100

H = $\sqrt{100}$ = 10m

197.

Find the equation of a straight line passing through the point (1, -5) and having gradient of $\frac{3}{4}$

A.

3x + 4y - 23 = 0

B.

3x + 4y +23 = 0

C.

3x - 4y +23 = 0

D.

3x - 4y - 23 = 0

View answer & explanation

Correct answer is D

$\frac{3}{4} = \frac{y + 5}{x - 1}$

3(x - 1) = 4(y + 5)

3x - 3 = 4y + 20

3x - 4y - 23 = 0

198.

A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colours?

A.

$\frac{2}{3}$

B.

$\frac{3}{5}$

C.

$\frac{7}{20}$

D.

$\frac{12}{25}$

View answer & explanation

Correct answer is C

( $\frac{2}{5} \times \frac {3}{5}) + (\frac{3}{5} \times \frac{2}{5})$

$\frac{6}{25} + \frac{6}{25} = \frac{12}{25}$

199.

The interior angles of a polygon are 3x $^o$ , 2x $^o$ , 4x $^o$ , 3x $^o$ and 6x $^o$ . Find the size of the smallest angle of the polygon.

A.

80 $^o$

B.

60 $^o$

C.

40 $^o$

D.

30 $^o$

View answer & explanation

Correct answer is B

3 $x^o$ + 2 $x^o$ + 4 $x^o$ + 3 $x^o$ + 6 $x^o$ = 540 $^o$

$\frac{18x^o}{18} = \frac{540^o}{18}$

$x^o$ = 30 $^o$

Smallest angle = 2 x 30 $^o$ = 60 $^o$

200.

Factorize completely; (2x + 2y)(x - y) + (2x - 2y)(x + y)

A.

4(x - y)(x + y)

B.

(4(x - y)

C.

2(x - y)(x + y)

D.

2(x - y)

View answer & explanation

Correct answer is A

(2x + 2y)(x - y) + (2x - 2y)(x - y)

2(x + y)(x - y) + 2(x - y)(x + y)

4(x - y)(x + y)

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