If the second and fourth term of a G.P are 8 and 32 respectively,what is the sum of the first four terms?
Answer
(D)
60
3
In the diagram above, TPS is a straight line, PQRS is a parallelogram with base QR and height 8cm. |QR| = 6cm and the area of triangle QST is 52cm2. Find the area of ΔQPT
Answer
(B)
28cm2
4
In the diagram O is the center of the circle, if ∠QRS = 62o, find the value of ∠SQR.
Answer
(B)
28o
5
Evaluate, using logarithm tables \(\frac{5.34 \times 67.4}{2.7}\)
Answer
(C)
133.2
6
Factorize 35 - 2b - b2
Answer
(B)
(7+b)(5-b)
7
Evaluate \(\frac{0.009}{0.012}\), leaving your answer in standard form.
Answer
(C)
7.5 x 10-1
8
The graph above is that of a quadratic function y = 2x2 - x - 6
The roots of the equation are
Answer
(B)
-1.5, 2
9
Factorize the following expression; 2x2 + x - 15
Answer
(B)
(2x-5)(x+3)
10
The angle of elevation of X from Y is 30o. If XY = 40m, how high is X above the level of Y?
Answer
(B)
20m
11
Instead of recording the number 1.23cm of the radius of a tube, a student recorded 1.32cm. Find the percentage of error, correct to one decimal place.
Answer
(B)
7.3%
12
In the diagram above, ∠SPR = P and ∠SQR = 2x. Find x in terms of P
Answer
(D)
x = p/2
13
In the diagram above ABDE and FCDE are parallelograms. If |FC| = 12.2cm and the height |PC| = 4.0cm, calculate the area of the parallelogram ABDE.
Answer
(E)
48.8cm2
14
Using the above graph, if 10º < x < 60º, what is the value of x for which sin x = cos x?
Answer
(D)
45o
15
The venn diagram below shows the number of students who studied Physics, Chemistry, and Mathematics in a certain school. How many students took at least two of the three subjects?
Answer
(B)
160
16
An arc of a circle radius 7cm is 14cm long. What angle does the arc subtend at the center of circle?
[Take π = 22/7]
Answer
(E)
114.55o
17
If twice a certain integer is subtracted from 5 times the integer, the result is 63. Find the integer.
Answer
(A)
21
18
If 3\(^y\) = 243, find the value of y.
Answer
(D)
5
19
Points X and Y are respectively 20km North and 9km East of a point O. What is the bearing of Y from X? Correct to the nearest degree
Answer
(C)
156o
20
In the diagram above, O is the center of the circle. Calculate the length of the chord AB if |OA| = 5cm, |OD| = 3cm and ∠AOD = ∠BOD
Answer
(D)
8cm
21
Calculate the surface area of a hallow cylinder which is closed at one end, if the base radius is 3.5cm and the height 8cm.[take π = 22/7]
Answer
(D)
214.5cm2
22
Solve the following equation: 6x\(^2\) - 7x - 5 = 0
Answer
(C)
x = 1 2/3 or x = -1/2
23
What angle represents grown up girls ? Correct to one decimal place
Answer
(B)
26.7o
24
What percentage of the population are married? correct to one decimal place
Answer
(D)
35.2%
25
If A = {a,b,c}, B = {a,b,c,d,e} and C = {a,b,c,d,e,f}. Find (A∪B)∩(A∪C)
Answer
(B)
{a,b,c,d,e}
26
What is the mode of the score
Answer
(E)
7
27
What is the median score?
Answer
(C)
5
28
What is the range of the distribution?
Answer
(B)
7
29
In the diagram above O is the center of the circle, if ∠PAQ = 75o, what is the value of ∠PBQ?
In the diagram above, what is the size of angle ACB?
Answer
(C)
60o
32
With reference to the graph above, which of the following solution sets is represented by ΔOPQ?
Answer
(B)
y ≤ x, y ≥ 0, y + x ≤ 7
33
Find the volume of a cone of radius 3.5cm and vertical height 12cm [Take π = 22/7]
Answer
(E)
154.0cm3
34
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?
Answer
(C)
1/4
35
The angle of a sector of a circle of diameter 8cm is 135°. Find the area of the sector [Take \(\pi\) = 22/7].
Answer
(C)
\(18\frac{6}{7}cm^2\)
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
Answer
(E)
20o
37
Which of the following gives the point of intersection of the graph y = x2 and y = x + 6 shown above?
Answer
(C)
(-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]
Answer
(E)
90.2cm2
39
If logax = p, express x in terms of a and p
Answer
(E)
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]
Answer
(B)
4.89cm
41
In the diagram above, O is the center of the circle. If ∠POR = 114o, calculate ∠PQR
Answer
(A)
123o
42
The angle of depression of a point on the ground from the top of a building is 20.3o. If the foot of the building is 40m, calculate the height of the building, correct to one decimal place
Answer
(D)
14.8m
43
Solve for x: (x2 + 2x + 1) = 25
Answer
(D)
-6, 4
44
Given that logp = 2 logx + 3logq, which of the following expresses p in terms of x and q?
Answer
(E)
p = x2q3
45
sinθ = \(\frac{1}{2}\) and cosθ = -\(\frac{\sqrt{3}}{2}\), what is the value of θ?
