If P = {3, 5, 6} and Q = {4, 5, 6} then P∩Q equals
Răspuns
(D)
{5, 6}
3
A and B are two sets. The number of elements in A∪B is 49, the number in A is 22 and number in B is 34. How many elements are in A ∩ E?
Răspuns
(E)
7
4
A student found the approximate value of 0.02548 correct to two places of decimal instead of two significant figures. Find the percentage error.
Răspuns
(E)
20%
5
Simplify log39 + log315 - log35
Răspuns
(C)
3
6
Solve me equation: 2/3 (x + 5) = 1/4(5x - 3)
Răspuns
(E)
7
7
Which of the following equations has its roots as 4 and -5?
Răspuns
(D)
x2 + x - 20 = 0
8
Solve the equations: 4x -y = 11; 5x + 2y = 4.
Răspuns
(D)
x = 2, y = -3
9
Make q the subject of the relation t = √(pq/r - r\(^2\)q)
Răspuns
(A)
q = \(\frac{rt^2}{(p - r^3)}\)
10
P varies inversely as the square of W. When W = 4, P = 9. Find the value of P when W = 9
Răspuns
(D)
16/9
11
If x varies over the set of real numbers, which of the following is illustrated in the diagram above?
Răspuns
(B)
-2 < x ≤ 3
12
In the triangle XYZ , XM is the altitude from X to YZ.XY = 13cm, XZ = 15cm and YM = 5cm. Find the length of YZ
Răspuns
(C)
14cm
13
Two points P and Q are on longitude 67°W. Their latitudes differ by 90°. Calculate their distance apart in terms of π. (Take radius of the earth = 6400km).
Răspuns
(C)
3200πkm
14
The length of the two parallel sides of trapezium are 6cm and 10cm and the perpendicular distance between them is 5cm. Find the area of the trapezium
Răspuns
(B)
4Ocm2
15
Calculate the total surface area of a solid cone of slant height 15cm and base radius 8cm in terms of π
Răspuns
(C)
184πcm2
16
The cross-section of a prism is a right-angled triangle 3cm by 4cm by 5cm. The height of the prism is 8cm. Calculate its volume
Răspuns
(A)
48cm3
17
Find the radius of a circle in which an arc of length 44cm subtends angle 200° at the centre of the circle. [Take π = 22/7]
Răspuns
(B)
12.6cm
18
The diagram above is a triangle XYZ whose area is 23.5cm2. XY =1Ocm and YZ = 8cm, calculate θ correct to the nearest degree.
Răspuns
(C)
36o
19
Which of the following is not necessarily sufficient for the construction of a triangle?
Răspuns
(C)
Two sides and a right angle
20
In the diagram, EF//QR, PE = 2cm, EQ = 4cm and FR = 6cm. Find x
Răspuns
(B)
3cm
21
Which of the following statements is/are true when two straight lines intersect?
I. Adjacent angles are equal II. Vertically opposite angles are equal III. Adjacent angles are supplementary
Răspuns
(C)
II and III only
22
PQRS and GHRS are parallelograms on the same base SR and between the same parallel straight line PH and SR. Which of the following is true?
Răspuns
(E)
Parallelogram PQRS = Parallelogram GHRS
23
From the diagram above, which of the following is true?
Răspuns
(D)
a + b = x + 180
24
The interior angles of a pentagon are 126o, 114o, y, 92o and 83o. Find the value of y.
Răspuns
(E)
125o
25
Solve the inequality 3x - 8 ≥ 5x
Răspuns
(C)
x ≤ -4
26
Divide 3.6721 by 4
Răspuns
(A)
0.9180
27
The eleventh term of an AP, is 25 and its first term is -3. Find its common difference.
Răspuns
(E)
24/5
28
Find the common ratio in the GP: log 3, log 9, log 81 ..........
Răspuns
(B)
2
29
Find the value of t for which \(\frac{64}{27} = (\frac{3}{4})^{t - 1}\)
Răspuns
(B)
-2
30
O is the centre of the circle PQRS. PR and QS intersect at T POR is a diameter, ∠PQT = 42o and ∠QTR = 64o; Find ∠QRT
Răspuns
(A)
68o
31
TR is the tangent to the circle PQR with centre O. Find the size of ∠PRT
Răspuns
(C)
60o
32
Given that \(\frac{1}{2} \log_{10} P = 1\), find the value of P.
Răspuns
(C)
102
33
If two triangles are similar, which of the following is true? Their
Răspuns
(B)
corresponding angles are equal
34
Which of the following is not necessarily true of a rectangle?
Răspuns
(C)
The diagonals are perpendicular
35
A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord
Răspuns
(C)
24cm
36
The angle of elevation of a point T on a tower from a point U on the horizontal ground is 30o. If TU = 54m, how high is T above the horizontal ground?
Răspuns
(E)
27m
37
Express the true bearing of 250° as a compass bearing
Răspuns
(D)
S70oW
38
lf sin θ= \(\frac{-1}{2}\), find all the values of θ between 0° and 360°.
Răspuns
(D)
210o,330o
39
Cos 65o has the same value as
Răspuns
(E)
Cos 295o
40
Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm, calculate correct to the nearest degree, the smallest angle of the triangle.
