If P = {3, 5, 6} and Q = {4, 5, 6} then P∩Q equals
إجابة
(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?
إجابة
(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.
إجابة
(E)
20%
5
Simplify log39 + log315 - log35
إجابة
(C)
3
6
Solve me equation: 2/3 (x + 5) = 1/4(5x - 3)
إجابة
(E)
7
7
Which of the following equations has its roots as 4 and -5?
إجابة
(D)
x2 + x - 20 = 0
8
Solve the equations: 4x -y = 11; 5x + 2y = 4.
إجابة
(D)
x = 2, y = -3
9
Make q the subject of the relation t = √(pq/r - r\(^2\)q)
إجابة
(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
إجابة
(D)
16/9
11
If x varies over the set of real numbers, which of the following is illustrated in the diagram above?
إجابة
(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
إجابة
(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).
إجابة
(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
إجابة
(B)
4Ocm2
15
Calculate the total surface area of a solid cone of slant height 15cm and base radius 8cm in terms of π
إجابة
(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
إجابة
(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]
إجابة
(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.
إجابة
(C)
36o
19
Which of the following is not necessarily sufficient for the construction of a triangle?
إجابة
(C)
Two sides and a right angle
20
In the diagram, EF//QR, PE = 2cm, EQ = 4cm and FR = 6cm. Find x
إجابة
(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
إجابة
(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?
إجابة
(E)
Parallelogram PQRS = Parallelogram GHRS
23
From the diagram above, which of the following is true?
إجابة
(D)
a + b = x + 180
24
The interior angles of a pentagon are 126o, 114o, y, 92o and 83o. Find the value of y.
إجابة
(E)
125o
25
Solve the inequality 3x - 8 ≥ 5x
إجابة
(C)
x ≤ -4
26
Divide 3.6721 by 4
إجابة
(A)
0.9180
27
The eleventh term of an AP, is 25 and its first term is -3. Find its common difference.
إجابة
(E)
24/5
28
Find the common ratio in the GP: log 3, log 9, log 81 ..........
إجابة
(B)
2
29
Find the value of t for which \(\frac{64}{27} = (\frac{3}{4})^{t - 1}\)
إجابة
(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
إجابة
(A)
68o
31
TR is the tangent to the circle PQR with centre O. Find the size of ∠PRT
إجابة
(C)
60o
32
Given that \(\frac{1}{2} \log_{10} P = 1\), find the value of P.
إجابة
(C)
102
33
If two triangles are similar, which of the following is true? Their
إجابة
(B)
corresponding angles are equal
34
Which of the following is not necessarily true of a rectangle?
إجابة
(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
إجابة
(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?
إجابة
(E)
27m
37
Express the true bearing of 250° as a compass bearing
إجابة
(D)
S70oW
38
lf sin θ= \(\frac{-1}{2}\), find all the values of θ between 0° and 360°.
إجابة
(D)
210o,330o
39
Cos 65o has the same value as
إجابة
(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.
