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