WAEC Past Questions and Answers - Page 4193

20,961.

In a given regular polygon, the ratio of the exterior angle to the interior angles is 1:3. How many side has the polygon?

A.

40

B.

5

C.

6

D.

8

E.

12

Correct answer is D

Let x be the exterior angle; interior = 3x; but x + 3x = 180o

4x = 180o; x = 45

= \(\frac{360}{45}\) = 8

20,962.

Given that the gravitational constant is 7 X 10-11 Nm2kg-2, what is the force of attraction between 106kg mass of lead hanging one metre away from a 103kg mass of iron?

A.

7 x10-20N

B.

7 x 10-5N

C.

7 x10-2N

D.

7 x103N

E.

7x100N

Correct answer is C

F =
Gm1m2/r2
=
7 x 10-11 x 106 x 103/1m
= 7 x 10-2

20,963.

In the diagram above, ∠PTQ = ∠URP = 25° and XPU = 4URP. Calculate ∠USQ.

A.

100o

B.

120o

C.

125o

D.

130o

E.

150o

Correct answer is D

Since < URP = 25°, then < XPU = 4 x 25° = 100°

\(\therefore\) < TPQ = 180° - 100° = 80°

\(\therefore\) < PQT = 180° - (80° + 25°) = 75°

< SQR = 75° - 25° = 50° (exterior angle = 2 opp interior angles)

\(\therefore\) < USQ = 180° - 50° = 130°

 

20,964.

Which of the following pairs of light rays shows the widest separation in the spectrum of white light?

A.

Yellow and red

B.

Orange and green

C.

Violet and blue

D.

Blue and green

E.

Red and indigo

Correct answer is E

No explanation has been provided for this answer.

20,965.

The angles of a pentagon are x°, 2x°, (x + 60)°, (x + 10)°, (x -10)°. Find the value of x.

A.

40

B.

60

C.

75

D.

80

E.

90

Correct answer is D

Sum of ∠s in a pentagon = (n - 2)180 = 540°
x° + 2x° + x° + 60° + x° + 10° + x° - 10° = 540°
6x° + 60° = 540°; x = 80°