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