WAEC Mathematics Past Questions & Answers - Page 264

1,317.

One side of a rectangle is 8cm and the diagonal is 10cm. What is the area of the rectangle?

A.

80cm2

B.

48cm2

C.

40cm2

D.

36cm2

E.

24cm2

Correct answer is B

No explanation has been provided for this answer.

1,318.

Find, correct to 1 decimal place, the volume of cylinder of height 8cm and base radius 3cm. [Take π = 3.142]

A.

503.0cm3

B.

300.0cm3

C.

250.0cm3

D.

226.2cm3

E.

150.9cm3

Correct answer is D

Volume =\(\pi\)r2h = 3.142 x 3 x 3 x 8

=72 x 3.142 = 226.2cm3

1,319.

If the hypotenuse of a right-angle isosceles triangle is 2, what is the length of each of the other side?

A.

1/√2

B.

√2 - 1

C.

1

D.

√2

E.

√3

Correct answer is D

An Isosceles Right Triangle is a right triangle that consists of two equal length legs.

i.e opp = adj

hyp\(^2\) = adj\(^2\) + opp\(^2\)

2\(^2\) = x\(^2\) + x\(^2\)

4 = 2x\(^2\)

2 = x\(^2\)

 √2 = x

1,320.

In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60°. What is the area of the minor sector POQ?

[Take π = 22/7].

A.

1481/2cm2

B.

77cm2

C.

321/12cm2

D.

65/12cm2

E.

15/6cm2

Correct answer is D

Area of sector = \(\frac{\theta}{360°} \times \pi r^2\)

= \(\frac{60}{360} \times \frac{22}{7} \times 3.5 \times 3.5\)

= \(\frac{77}{12}\)

= \(6\frac{5}{12}\) cm\(^2\)