WAEC Past Questions and Answers - Page 4239

21,191.

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

21,192.

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

21,193.

An arc of a circle radius 7cm is 14cm long. What angle does the arc subtend at the center of circle?
[Take π = 22/7]

A.

25.7o

B.

44o

C.

51.43o

D.

98o

E.

114.55o

Correct answer is E

L = 14cm, r = 7cm; \(\theta\)= ?

L = \(\frac{\theta}{360}\) x 2πr

14= \(\frac{\theta}{360}\) x 2π(7)

\(\theta = \frac{360 \times 14}{44}\)

=114.55°

21,194.

Using the above graph, if 10o < x < 60o, what is the value of x for which sin x = cos x?

A.

0o

B.

20o

C.

30o

D.

45o

E.

50o

Correct answer is D

From the graph; when sin x = cos x

x = 45o

21,195.

In the diagram above ABDE and FCDE are parallelograms. If |FC| = 12.2cm and the height |PC| = 4.0cm, calculate the area of the parallelogram ABDE.

A.

3.05cm2

B.

8.20cm2

C.

16.20cm2

D.

24.40cm2

E.

48.8cm2

Correct answer is E

Area of ABDE = b x h

12.2 x 4 = 48.8cm 2