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
correct option: b
Users' Answers & Comments12
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
correct option: c
XM = √132 - 52 = 12cm
MZ = 152 - 122 = 9cm
YZ = 9 + 5 = 14cm
MZ = 152 - 122 = 9cm
YZ = 9 + 5 = 14cm
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
6400πkm
B
6400km/π
C
3200πkm
D
3200km
correct option: c
P(67°W, 0°N)
Q(67°W 90°N), R = 6400km
Distance PQ =
90/360 x 2 x 6400 π
= 3200πkm
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
64πcm2
B
12Oπcm2
C
184πcm2
D
200πcm2
correct option: c
Total surface are of a cone
= πr(r + l)
= π x 8 (8 + 150)
= 184πcm2
Users' Answers & Comments= πr(r + l)
= π x 8 (8 + 150)
= 184πcm2
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
correct option: b
44 = 200/360 x 2 x 22/7 x r
r = 360 x 7 x 44/200 x 2 x 22
= 12.6cm
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
correct option: c
Area = 1/2 x y x yz sinθ
23.5 = 1/2 x 10 x 8 sinθ
Users' Answers & Comments23.5 = 1/2 x 10 x 8 sinθ
sinθ =
23.5 x 2/10 x 8 = 0.5875
θ = sin-1 0.5875 = 36o
θ = sin-1 0.5875 = 36o
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
correct option: c
Users' Answers & Comments20
In the diagram, EF//QR, PE = 2cm, EQ = 4cm and FR = 6cm. Find x
A
2cm
B
3cm
C
4cm
D
5cm