Construct a quadratic equation whose roots are \(-\frac{1}{2}\) and 2.
Answer
(E)
2x2-3x-2=0
11
Write as a single fraction \(\frac{1}{1 - x} + \frac{2}{1 + x}\)
Answer
(E)
\(\frac{3 - x}{1 - x^2}\)
12
What must be added to the expression x\(^2\) - 18x to make it a perfect square?
Answer
(E)
81
13
Solve the equation \(\frac{m}{3} + \frac{1}{2} = \frac{3}{4} + \frac{m}{4}\)
Answer
(D)
3
14
The angle of a sector of a circle of radius 8cm is 240°. This sector is bent to form a cone. Find the radius of the base of the cone.
Answer
(A)
16/3cm
15
The curved surface area of a cylindrical tin is 704cm\(^2\). Calculate the height when the radius is 8cm. [Take π = 22/7]
Answer
(C)
14cm
16
The volume of a cone of height 9cm is 1848cm\(^3\). Find its radius. [Take π = 22/7]
Answer
(B)
14cm
17
The area of a parallelogram is 513cm\(^2\) and the height is 19cm. Calculate the base.
Answer
(C)
27cm
18
The diagram above shows the shaded segment of a circle of radius 7cm. if the area of the triangle OXY is 12\(\frac{1}{4}\)cm\(^2\), calculate the area of the segment
[Take π = 22/7]
Answer
(B)
7/12cm2
19
In the diagram above PQT is a tangent to the circle QRS at Q. Angle QTR = 48° and ∠QRT = 95°. Find ∠QSR
Answer
(C)
37o
20
In the diagram above, O is the center of the circle and ∠POR = 126°. Find ∠PQR
Answer
(B)
117o
21
In the diagram above, TR = TS and ∠TRS = 60o. Find the value of x
Answer
(C)
60
22
In the diagram above, O is the center of the circle PQRS and ∠QPS = 36°. Find ∠QOS
Answer
(B)
72o
23
In the diagram above, O is the center of the circle QOR is a diameter and ∠PSR is 37°. Find ∠PRQ
Answer
(B)
53o
24
In the diagram above, ML//PQ and NP//QR, if ∠LMN = 40° and ∠MNP = 55°. Find ∠QPR
Answer
(A)
15o
25
The angles marked in the diagram above are measured in degrees. Find x
Answer
(B)
24o
26
Find the value of t in the diagram above
Answer
(A)
5.6cm
27
A regular polygon has each of its exterior angles as 18o. How many sides has the polygon
Answer
(D)
20
28
In the diagram above, PQT is an isosceles triangle.|PQ| = |QT|, ∠SRQ = 75°, ∠QPT = 25° and PQR is straight line. Find ∠RST
Answer
(C)
55o
29
Sin 60° has the same value as I. Sin 120° II. cos 240° III. -sin 150° IV. cos 210° V. sin 240°
Answer
(A)
I only
30
If cos θ = 5/13, what is the value of tan \(\theta\) for 0 < θ < 90° ?
Answer
(D)
12/5
31
The value of tan 315°
Answer
(D)
-1
32
The value of sin 210° is
Answer
(A)
\(-\frac{1}{2}\)
33
Town P is on bearing 315o from town Q while town R is south of town P and west of town Q. lf town R is 60km away from Q, how far is R from P?
Answer
(D)
60km
34
A ladder leans against a vertical wall at an angle
60° to the wall, if the foot of the ladder is 5 metres
away from the wall, calculate the length of the
ladder.
Answer
(C)
\(\frac{10\sqrt3}{3}\)m
35
A cliff on the bank of a river is 300 metres
high. if the angle of depression of a point on the
opposite side of the river is 60° find the width of
the river.
Answer
(C)
100√3m
36
Points X and Y are respectively 12m North and 5m east of point Z. Calculate XY
Answer
(C)
13m
37
Find the median of the following set of scores:
65, 72, 55, 48, 78
Answer
(D)
65
38
The data above shows the frequency distribution
of marks scored by a group of students in a class
test.
How many students took the test?
Answer
(C)
15
39
The data below shows the frequency distribution
of marks scored by a group of students in a class
test.
What is the modal score
Answer
(C)
4
40
The data below shows the frequency distribution
of marks scored by a group of students in a class
test.
Find the mean mark.
Answer
(E)
3.8
41
A group of students measured a certain angle
(to the nearest degree) and obtained the following
results: 75o, 76o, 72o, 73o, 74o, 79o, 72o, 72o, 77o,
72o, 71o, 70o, 78o, 73o. Find the mode
Answer
(E)
72o
42
Marks
1
2
3
4
5
6
7
8
9
10
No of students
1
3
2
0
1
6
1
0
1
0
The table above shows the scores of 15 students in a Physics test.
How many students scored at least 5?
Answer
(D)
9
43
A number is chosen at random from the set (1 ,2,3
....,9, 10). What is the probability that the number
is greater than or equal to 7?
Answer
(C)
2/5
44
What is the probability of throwing a number greater than 2 with a single fair die
Answer
(D)
2/3
45
A fair die is rolled once. What is the probability of
obtaining 4 or 6?
