WAEC Past Questions and Answers - Page 2392

11,956.

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\(^2\)

11,957.

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\(^o\) 

11,958.

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

11,959.

Make b the subject of the relation lb = \(\frac{1}{2}\) (a + b)h

A.

\(\frac{ah}{2l - h}\)

B.

\(\frac{2l - h}{al}\)

C.

\(\frac{al}{2l - h}\)

D.

\(\frac{al}{2 - h}\)

Correct answer is A

lb = \(\frac{1}{2} (a + b)h

2lb = ah + bh

2lb - bh = ah

\(\frac{b(2l - h)}{2l - h} = \frac{ah}{2l - h}\)

b = \(\frac{ah}{2l - h}\)

11,960.

An arc subtends an angle of 72\(^o\) at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5 cm. [Take \(\pi = \frac{22}{7}\)]

A.

6.6 cm

B.

8.8 cm

C.

4.4 cm

D.

2.2 cm

Correct answer is C

Length = \(\frac{\theta}{360}\) x 2\(\pi\)r

= \(\frac{72}{360} \times 2 \frac{22}{7} \times \frac{0.5}{3.5}\)

= 4.4