1997 - WAEC Mathematics Past Questions and Answers - page 2
11
If x varies over the set of real numbers, which of the following is illustrated in the diagram above?
A
-2 ≤ x < 3
B
-2 < x ≤ 3
C
-2 < x < 3
D
-2 ≤ x ≤ 3
12
In the triangle XYZ , XM is the altitude from X to YZ.XY = 13cm, XZ = 15cm and YM = 5cm. Find the length of YZ
A
9cm
B
12cm
C
14cm
D
19.85cm
13
Two points P and Q are on longitude 67°W. Their latitudes differ by 90°. Calculate their distance apart in terms of π. (Take radius of the earth = 6400km).
A
6400Ï€km
B
6400km/Ï€
C
3200Ï€km
D
3200km
14
The length of the two parallel sides of trapezium are 6cm and 10cm and the perpendicular distance between them is 5cm. Find the area of the trapezium
A
21cm2
B
4Ocm2
C
8Ocm2
D
150cm2
15
Calculate the total surface area of a solid cone of slant height 15cm and base radius 8cm in terms of π
A
64Ï€cm2
B
12OÏ€cm2
C
184Ï€cm2
D
200Ï€cm2
16
The cross-section of a prism is a right-angled triangle 3cm by 4cm by 5cm. The height of the prism is 8cm. Calculate its volume
A
48cm3
B
6Ocm3
C
96cm3
D
120cm3
17
Find the radius of a circle in which an arc of length 44cm subtends angle 200° at the centre of the circle. [Take π = 22/7]
A
3.9cm
B
12.6cm
C
25.2cm
D
38.4cm
18
The diagram above is a triangle XYZ whose area is 23.5cm2. XY =1Ocm and YZ = 8cm, calculate θ correct to the nearest degree.
A
34o
B
35o
C
36o
D
37o
19
Which of the following is not necessarily sufficient for the construction of a triangle?
A
Three sides
B
Two sides and an included angle
C
Two sides and a right angle
D
Two sides and an angle
20
In the diagram, EF//QR, PE = 2cm, EQ = 4cm and FR = 6cm. Find x
A
2cm
B
3cm
C
4cm
D
5cm
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