WAEC Mathematics Past Questions & Answers - Page 273

1,361.

A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]

What is the volume of the container?

A.

35cm3

B.

154cm3

C.

220cm3

D.

528cm3

E.

770cm3

Correct answer is E

\(V = \pi r^2 h\)

\(V = \frac{22}{7} \times 7 \times 7 \times 5\)

= 770 cm\(^3\)

1,362.

A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7] Find the total surface area of the container

A.

35cm3

B.

154cm3

C.

220cm2

D.

528cm2

E.

770cm2

Correct answer is D

T.S.A of a cylinder = \(2\pi r^2 + 2\pi rh\)

= \(2\pi r(r + h)\)

= \(2 \times \frac{22}{7} \times 7 \times (7 + 5)\)

= \(44 \times 12\)

= \(528 cm^2\)

1,363.

A water tank of height \(\frac{1}{2}\) m has a square base of side \(1\frac{1}{2}\) m. lf it is filled with water from a water tanker holding 1500 litres, how many litres of water are left in the water tanker? [1000 litres = 1m\(^3\)]

A.

37.5litres

B.

375 litres

C.

3750 litres

D.

37500 litres

E.

375000 litres

Correct answer is B

Volume of water taken by the tank = \(\frac{3}{2} \times \frac{3}{2} \times \frac{1}{2}\)

= \(\frac{9}{8} m^3\)

= \(\frac{9}{8} \times 1000\)

= 1125 litres

\(\therefore\) Water left = (1500 - 1125) litres

= 375 litres.

1,364.

The diagonals AC and BD of a rhombus ABCD are 16cm and 12cm long respectively. Calculate the area of the rhombus.

A.

24cm2

B.

36cm2

C.

48cm2

D.

60cm2

E.

96cm2

Correct answer is E

Area of rhombus = \(\frac{pq}{2}\)

where p and q are the diagonals of the rhombus.

\(\therefore A = \frac{16 \times 12}{2}\)

= 96 cm\(^2\)

1,365.

In the diagram above. |AB| = 12cm, |AE| = 8cm, |DCl = 9cm and AB||DC. Calculate |EC|

A.

10cm

B.

9cm

C.

8cm

D.

7cm

E.

6cm

Correct answer is E

|AB| = 12 cm; |DC| = 9 cm; |AE| = 8 cm.

\(\Delta\) ABE and \(\Delta\) EDC are similar triangles. Hence,

\(\frac{|AB|}{|DC|} = \frac{|AE|}{|EC|}\)

\(\frac{12}{9} = \frac{8}{|EC|}\)

\(\therefore |EC| = \frac{9 \times 8}{12}\)

= 6 cm