WAEC Mathematics Past Questions & Answers - Page 41

201.

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)

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) 

202.

In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, |OS| = |OT| and OST = 50°. Calculate the value of OPQ.

A.

100\(^o\)

B.

120\(^o\)

C.

140\(^o\)

D.

160\(^o\)

Correct answer is A

S\(O\)T = 180\(^o\) - (50 + 50) 

= 80\(^o\) 

P\(Q\)R = 80\(^o\)

= \(\frac{360^o - 160^o}{2}\) = 100\(^o\)

203.

A rectangular board has a length of 15cm and width x cm. If its sides are doubled, find its new area.

A.

60x cm\(^2\)

B.

45x cm\(^2\)

C.

30x cm\(^2\)

D.

15x cm\(^2\)

Correct answer is A

New are = (2 x 15) x (2 x \(x\)) 

= 60cm\(^2\)

204.

Find the angle at which an arc of length 22 cm subtends at the centre of a circle of radius 15cm.  [Take \(\pi = \frac{22}{7}\)]

A.

70\(^o\)

B.

84\(^o\)

C.

96\(^o\)

D.

156\(^o\)

Correct answer is B

L = \(\frac{\theta}{360} \times 2 \pi r\)

22 = \(\frac{theta}{360} \times 2 \times \frac{22}{7} \times 15\)

\(\theta = \frac{22 \times 360 \times 7}{2 \times 22 \times 15}\)

\(\theta\) = 84\(^o\) 

205.

Eric sold his house through an agent who charged 8% commission on the selling price. If Eric received $117,760.00 after the sale, what was the selling price of the house? 

A.

$130,000.00

B.

$128,000.00

C.

$125,000.00

D.

$120,000.00

Correct answer is B

\(\frac{8}{100} \times x + 117,760 = x\)

x - \(\frac{8x}{100} = 117,760

\(\frac{92x}{100} = 117,760\)

x = \(\frac{117,760 \times 100}{92}\)

Selling price = N128,000