WAEC Past Questions and Answers - Page 4198

20,986.

Given that sin \(\theta\) = -0.9063, where O \(\leq\) \(\theta\) \(\leq\) 270°, find \(\theta\).

A.

65o

B.

115o

C.

145o

D.

245o

E.

265o

Correct answer is D

Sin\(\theta\) = -0.9063; \(\theta\) = sin-1(0.9063)

\(\theta\) = -64.99 = -65°

\(\theta\) = 180° - (-65);

180 + 65 = 245°

20,987.

the graph above is a sketch of

A.

y = sin 2x

B.

y=sinx

C.

y=cos2x

D.

y=2sinx

E.

y = 2cos x

Correct answer is D

No explanation has been provided for this answer.

20,988.

Two towns, P and Q, are on (4oN 40oW) and (4oN
20oE) respectively. What is the distance between
them, along their line of latitude? (Give your
answer in teems of π and R, the radius of the earth).

A.

2πR cos4o

B.

πR sin40o

C.

πR/2
cos4o

D.

πR/3
cos4o

E.

πR/6
cos4o

Correct answer is D

Angular distance = 40o + 20o = 60o
using θ/360 x 2πr for distance between p and Q
= 60/360 x 2πRcos4o = 1/3πRcos4o

20,989.

The common ratio of a G.P. is 2. If the 5th term is greater than the 1st term by 45, find the 5th term,

A.

3

B.

6

C.

45

D.

48

E.

90

Correct answer is D

a = 1st term ; ar4 = 5th term
∴ ar4 = a(2)4 = 16a; 16a = 45 + a, a = 3;
3(2)4 = 48

20,990.

The first term a of an A.P is equal to twice the common difference d. Find, in terms of d, the 5th term of the A.P.

A.

4d

B.

5d

C.

6d

D.

a + 5d

E.

2a + 4d

Correct answer is C

Tn = a + (n - 1)d; AP; a = 2d; Tn = 2d + (n - 1)d

T5 = 2d + (5 - 1)d = 2d + 4d = 6d