1989 - WAEC Mathematics Past Questions and Answers - page 4
31
In the diagram above, what is the size of angle ACB?
A
40o
B
50o
C
60o
D
80o
correct option: c
< ABC = 80° (alternate angles)
< ACB = 180° - (80° + 40°) = 60°
32
With reference to the graph above, which f the following solution sets is represented by ΔOPQ?
A
y ≥ x, y ≤ 0, y + x ≥ 7
B
y ≤ x, y ≥ 0, y + x ≤ 7
C
y ≥ x, y ≥ 0, y + x ≤ 7
D
y ≤ x, y ≤ 0, y + x ≤ 7
correct option: d
Users' Answers & Comments33
Find the volume of a cone of radius 3.5cm and vertical height 12cm [Take π = 22/7]
A
3.4cm2
B
15.5cm2
C
21.0cm2
D
42.0cm2
correct option: e
Users' Answers & Comments34
The table above gives the scores of a group of students in an English Language test
If a student is chosen at random from the group, what is the probability that the scored at least 6 marks?
A
3/20
B
1/5
C
1/4
D
3/10
35
The angle of a sector of a circle of diameter 8cm [Take x = 22/7].
A
93/7cm2
B
124/7cm2
C
185/7cm2
D
251/7cm2
36
In the diagram above, O is the center of the circle QRT and PT is a tangent to the circle at T. Calculate the angle x
A
55o
B
40o
C
35o
D
25o
37
Which of the following gives the point of intersection of the graph y = x2 and y = x + 6 shown above?
A
(0,6), (3,9)
B
(-3, 0)(2,4)
C
(-2,4)(3,9)
D
(-2,3)(-3,2)
correct option: c
From the graph; when x = -2, y = 4
(-2, 4)
x = 3.0, y = 9; (3,9)
(-2, 4)(3,9)
Users' Answers & Comments(-2, 4)
x = 3.0, y = 9; (3,9)
(-2, 4)(3,9)
38
A sector is cut off from a circle radius 8.2cm to form a cone, if the radius of the resulting cone is 3.5cm, calculate the curved surface area of the cone. [take π = 22/7]
A
11.25cm2
B
12.83cm2
C
22.0cm2
D
67.2cm2
correct option: e
r = 3.5 cm; l = 8.2 cm.
Curved surface area = \(\pi rl\)
= \(\frac{22}{7} \times \frac{7}{2} \times \frac{41}{5}\)
= 90.2 cm\(^2\)
39
If logax = p, express x in terms of a and p
A
x = u + p
B
x = a/p
C
x = p
D
x = ap
40
Calculate and correct to three significant figures, the length of an arc subtends an angle of 70o at the center of the circle radius 4cm. [Take π = 22/7]
A
2.44cm
B
4.89cm
C
9.78cm
D
25.1cm
correct option: b
Circumference of circle = 2πr = 2 x 3.14 x 4
= 25.1cm 360o = 25.1cm
Users' Answers & Comments= 25.1cm 360o = 25.1cm
70o =
25.1/360 x 70 = 4.89