WAEC Mathematics Past Questions & Answers - Page 29

141.

A woman received a discount of 20% on a piece of cloth she purchased from a shop. If she paid $525.00, what was the original price?

A.

$675.25

B.

$660.25

C.

$656.25

D.

$616.25

Correct answer is C

\(\frac{20}{100}\) x \(x\) = \(x - 525\)

\(\frac{x}{5} = x\) - 535

x = 5x - 2625

\(\frac{4x}{4} = \frac{2625}{4}\) 

x = $656.25

142.

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

A.

AAS

B.

SSS

C.

SAS

D.

SSA

Correct answer is D

No explanation has been provided for this answer.

143.

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).

A.

120\(^o\)

B.

90\(^o\)

C.

75\(^o\)

D.

60\(^o\)

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\(^o\)

144.

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. 

A.

2\(\frac{1}{2}\)

B.

2

C.

1

D.

\(\frac{1}{2}\)

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

145.

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

A.

45\(^o\)

B.

60\(^o\)

C.

90\(^o\)

D.

100\(^o\)

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\(^o\)