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WAEC Mathematics Past Questions & Answers - Page 29

141.

Which of the following is not a sufficient condition for two triangles to be congruent?

AAS

SSS

SAS

SSA

View answer & explanation

Correct answer is D

No explanation has been provided for this answer.

142.

In the diagram, O is the center of the circle. $\overline{PQ}$ and $\overline{RS}$ are tangents to the circle. Find the value of (M + N).

120 $^o$

90 $^o$

75 $^o$

60 $^o$

View answer & explanation

Correct answer is B

m + n + 90 $^o$ + 180 $^o$ (sum of angle in a $\triangle$ )

m + n = 180 $^o$ - 90 $^o$

m + n =90 $^o$

143.

x	6.20	6.85	7.50
y	3.90	5.20	6.50

The points on a linear graph are as shown in the table. Find the gradient (slope) of the line.

2 $\frac{1}{2}$

$\frac{1}{2}$

View answer & explanation

Correct answer is B

Gradient = $\frac{y_2 - y_ 1}{x_2 - x_1}$

= $\frac{5.20 - 3.90}{6.85 - 6.20}$

= $\frac{1.3}{0.5}$

= 2

144.

In the diagram, PQ is a straight line. If m = $\frac{1}{2}$ (x + y + z), find value of m.

45 $^o$

60 $^o$

90 $^o$

100 $^o$

View answer & explanation

Correct answer is B

x + y + m + 2 = 180 $^o$

$\frac{x + y + 2}{2} + \frac{m}{2}$ = 90 $^o$

m + $\frac{m}{2} = 90^o$

3m = 2 x 90 $^o$

$\frac{3m}{3} = \frac{180^o}{3}$

m = 60 $^o$

145.

A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green. If two balls are selected at random one after the other with replacement, what is the probability that both are red?

$\frac{25}{144}$

$\frac{5}{33}$

$\frac{5}{6}$

$\frac{103}{132}$

View answer & explanation

Correct answer is A

Pr(RR) = $\frac{5}{12}$ = $\frac{5}{12} \times \frac{5}{12} = \frac{25}{144}$

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