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