WAEC Mathematics Past Questions & Answers - Page 331

1,651.

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°

1,652.

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

1,653.

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

1,654.

In the diagram above, ∠SPR = P and ∠SQR = 2x. Find x in terms of P

A.

x = p + 2

B.

x = p - 2

C.

x = p2

D.

x = p/2

E.

x = 2p

Correct answer is D

P = 2x (angle in the same segment);

x = p/2

1,655.

Instead of recording the number 1.23cm of the radius of a tube, a student recorded 1.32cm. Find the percentage of error, correct to one decimal place.

A.

6.8%

B.

7.3%

C.

9.6%

D.

14.4%

E.

15.4%

Correct answer is B

% error =
error/exact
x
100/1



=
0.09/1.23
x
100/1
= 7.3%