If the second and fourth term of a G.P are 8 and 32 respectively,what is the sum of the first four terms?
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(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
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(B)
28cm2
4
In the diagram O is the center of the circle, if ∠QRS = 62o, find the value of ∠SQR.
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(B)
28o
5
Evaluate, using logarithm tables \(\frac{5.34 \times 67.4}{2.7}\)
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(C)
133.2
6
Factorize 35 - 2b - b2
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(B)
(7+b)(5-b)
7
Evaluate \(\frac{0.009}{0.012}\), leaving your answer in standard form.
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(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
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(B)
-1.5, 2
9
Factorize the following expression; 2x2 + x - 15
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(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?
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(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.
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(B)
7.3%
12
In the diagram above, ∠SPR = P and ∠SQR = 2x. Find x in terms of P
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(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.
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(E)
48.8cm2
14
Using the above graph, if 10º < x < 60º, what is the value of x for which sin x = cos x?
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(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?
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(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]
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(E)
114.55o
17
If twice a certain integer is subtracted from 5 times the integer, the result is 63. Find the integer.
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(A)
21
18
If 3\(^y\) = 243, find the value of y.
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(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
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(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
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(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]
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(D)
214.5cm2
22
Solve the following equation: 6x\(^2\) - 7x - 5 = 0
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(C)
x = 1 2/3 or x = -1/2
23
What angle represents grown up girls ? Correct to one decimal place
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(B)
26.7o
24
What percentage of the population are married? correct to one decimal place
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(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)
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(B)
{a,b,c,d,e}
26
What is the mode of the score
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(E)
7
27
What is the median score?
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(C)
5
28
What is the range of the distribution?
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(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?
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(C)
60o
32
With reference to the graph above, which of the following solution sets is represented by ΔOPQ?
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(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]
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(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?
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(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].
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(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
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(E)
20o
37
Which of the following gives the point of intersection of the graph y = x2 and y = x + 6 shown above?
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(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]
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(E)
90.2cm2
39
If logax = p, express x in terms of a and p
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(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]
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(B)
4.89cm
41
In the diagram above, O is the center of the circle. If ∠POR = 114o, calculate ∠PQR
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(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
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(D)
14.8m
43
Solve for x: (x2 + 2x + 1) = 25
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(D)
-6, 4
44
Given that logp = 2 logx + 3logq, which of the following expresses p in terms of x and q?
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(E)
p = x2q3
45
sinθ = \(\frac{1}{2}\) and cosθ = -\(\frac{\sqrt{3}}{2}\), what is the value of θ?
