1994 - WAEC Mathematics Past Questions and Answers - page 4
31
A circle has radius x cm. What is the area of a sector of the circle with angle 135°, leaving the answer in terms of x and π?
A
\( \frac{\pi x^2}{8} \)
B
\( \frac{3\pi x^2}{8} \)
C
\( \frac{5\pi x^2}{8} \)
D
\( \frac{3\pi x}{8} \)
32
In the diagram, PQRS is a trapezium with PQ||SR. STR is a straight line, PSHQT, PTHQR. If |PQ| = 12cm and the height of the trapezium is 9cm, find its area.
A
96cm2
B
108cm2
C
135cm2
D
162cm2
33
Two solid spheres have volumes 250cmo and 128cmo respectively. Find the ratio of their radii.
A
125:64
B
25:16
C
2:1
D
4:3
34
In the diagram ST and QR are parallel. |PS| = 6cm, |SQ| = 8cm and |PR] = 18 2/3. Find |PT|
A
7cm
B
8cm
C
8 2/3cm
D
10cm
correct option: b
Users' Answers & Comments35
In the diagram, PQ||RS and angles are as shown. Find x
A
145o
B
150o
C
155o
D
160o
correct option: e
Join PR to a pentagon
90 + 90 + 140 + 55 + x = 540o
x = 165o
Users' Answers & Comments90 + 90 + 140 + 55 + x = 540o
x = 165o
36
IF the exterior angles of a quadilateral are yo, (2y + 5)o , (y + 15)o and (3y - 10)o, find yo
A
61.43
B
60
C
52.86
D
51.43
correct option: e
Users' Answers & Comments37
The sum of the angles of regular polygon is 2520o. How many sides does the polygon have?
A
20
B
18
C
17
D
16
38
Which of the following is not a property of all parallelogram?
A
the diagonal bisects each other
B
Each diagonal bisects the area
C
the diagonal cut at right angles
D
The opposite sides are equal
correct option: c
Users' Answers & Comments39
In the diagram above, PQ is the tangent to the circle RST at T.|ST| = ST and ∠RTQ = 68o. Find ∠PTS
A
68o
B
62o
C
61o
D
56o
40
The diagram above shows a circle PQRS in which ∠PRQ = 54o and ∠SPQ = 97o. Find ∠PQS
A
61o
B
51o
C
43o
D
39o