WAEC Mathematics Past Questions & Answers - Page 330

1,646.

Calculate the surface area of a hallow cylinder which is closed at one end, if the base radius is 3.5cm and the height 8cm.[take π = 22/7]

A.

126.5cm2

B.

165cm2

C.

176cm2

D.

214.5cm2

E.

253.5cm2

Correct answer is D

since it is an open cylinder; r= 3.5cm = 7/2cm
h= 8cm;
S.A = 2πrh + πr 2

= πr(2h + r)
(16 + 3.5); 11 x 19.5 = 214.5cm2

1,647.

In the diagram above, O is the center of the circle. Calculate the length of the chord AB if |OA| = 5cm, |OD| = 3cm and ∠AOD = ∠BOD

A.

3cm

B.

4cm

C.

5cm

D.

8cm

E.

15cm

Correct answer is D

In \(\Delta DOB\), let < DOB = \(\alpha\)

In \(\Delta DOB\), \(5^2 = 3^2 + s^2\)

\(s^2 = 25 - 9 = 16\)

\(s = 4cm\)

\(\sin \alpha = \frac{4}{5}\)

\(\alpha = \frac{< AOB}{2}\)

Length of chord = \(2r \sin (\frac{\theta}{2})\)

|OB| = r = 5cm

L = \(2(5)(\frac{4}{5})\)

= 8 cm

1,648.

Points X and Y are respectively 20km North and 9km East of a point O. What is the bearing of Y from X? Correct to the nearest degree

A.

024o

B.

114o

C.

156o

D.

204o

E.

336o

Correct answer is C

tan\(\theta\) = 9/20 = 0.45

\(\theta\) = tan\(^{-1}\) 0.45 = 24.2°

the bearing of y from x = 180 0 - 0 = 180° - 24.2°

the bearing = 155.8°

\(\approxeq\) 156°

1,649.

If 3\(^y\) = 243, find the value of y.

A.

2

B.

3

C.

4

D.

5

E.

6

Correct answer is D

3\(^y\) = 243;

3\(^y\) = 3\(^5\)

y = 5

1,650.

If twice a certain integer is subtracted from 5 times the integer, the result is 63. Find the integer.

A.

21

B.

9

C.

7

D.

4

E.

3

Correct answer is A

Let the integer = y

∴∴ 5y - 2y = 63

3y = 63 ⟹⟹ y = 21