WAEC Mathematics Past Questions & Answers - Page 281

1,401.

In the diagram ST and QR are parallel. |PS| = 6cm, |SQ| = 8cm and |PR] = 18 2/3. Find |PT|

A.

7cm

B.

8cm

C.

8 2/3cm

D.

10cm

E.

10 2/3cm

Correct answer is B

No explanation has been provided for this answer.

1,402.

Two solid spheres have volumes 250cmo and 128cmo respectively. Find the ratio of their radii.

A.

125:64

B.

25:16

C.

2:1

D.

4:3

E.

5:4

Correct answer is E

4/3πR3/4/3πr3
=
250/180
= (R/r)3 = 5:4

1,404.

A circle has radius x cm. What is the area of a sector of the circle with angle 135°, leaving the answer in terms of x and π?

A.

\( \frac{\pi x^2}{8} \)

B.

\( \frac{3\pi x^2}{8} \)

C.

\( \frac{5\pi x^2}{8} \)

D.

\( \frac{3\pi x}{8} \)

Correct answer is B

A = θ 360 x πr2 = 135 360 x π x x2 = (3πx2)/8

1,405.

Calculate, correct to 2 significant figures, the length of the arc of a circle of radius 3.5cm which subtends an angle of 75° at the centre of the circle. [Take π = 22/7].

A.

2.3cm

B.

4.6cm

C.

8cm

D.

16cm

E.

16cm

Correct answer is B

Length of arc = \(\frac{\theta}{360} \times 2\pi r\)

= \(\frac{75}{360} \times 2 \times \frac{22}{7} \times 3.5\)

= \(4.583 cm\)

\(\approxeq\) 4.6 cm (to 2 sig. figs)