WAEC Past Questions and Answers - Page 4014

20,066.

The positions of two countries P and Q are (15°N, 12°E) and (65°N, 12°E) respectively. What is the difference in latitude?

A.

104o

B.

100o

C.

80o

D.

50o

E.

24o

Correct answer is D

Latitudinal difference = 65° - 15° 

= 50°

20,067.

The diagram above shows a cone with the dimensions of its frustrum indicated. Calculate the height of the cone.

A.

12cm

B.

15cm

C.

18cm

D.

24cm

E.

30cm

Correct answer is D

Considering the smaller and larger triangle, these two are similar triangles. Hence, 

If the height of the smaller triangle = h, 

\(\therefore \frac{h}{6} = \frac{h + 12}{12}\)

\(12h = 6h + 72 \implies 6h = 72\)

\(h = 12 cm\)

\(\therefore\) The height of the cone = 12 + 12 = 24 cm

20,068.

A hollow sphere has a volume of kcm3 and a surface area of kcm2. Calculate the diameter of the sphere.

A.

3cm

B.

6cm

C.

9cm

D.

12cm

E.

More information is needed

Correct answer is B

\(Volume = \frac{4}{3} \pi r^3 = k\) ...(i)

\(S.A = 4\pi r^2 = k\) ... (ii)

Divide (i) by (ii),

\(\frac{4}{3} \pi r^3 \div 4\pi r^2 = \frac{k}{k}\)

\(\frac{r}{3} = 1 \implies r = 3cm\)

Diameter = 2 x 3cm = 6cm

20,069.

Find the total surface area of solid circular cone with base radius 3cm and slant height 4cm. [Take π = 22/7]

A.

37 5/7cm2

B.

66cm2

C.

75 3/7cm2

D.

78 2/7cm2

E.

88cm2

Correct answer is B

T.S.A of a cone = \(\pi r^2 + \pi rl\)

= \(\frac{22}{7} \times 3^2 + \frac{22}{7}  \times 3 \times 4\)

= \(\frac{198}{7} + \frac{264}{7}\)

= \(\frac{462}{7}\)

= 66 cm\(^2\)

20,070.

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\(^3\)