There are 250 boys and 150 girls in a school, if 60% of the boys and 40% of the girls play football, what percentage of the school play football?
Răspuns
(D)
52.5%
7
If \(\log_{10}\)(6x - 4) - \(\log_{10}\)2 = 1, solve for x.
Răspuns
(C)
4
8
If F = \(\frac{9}{5}\)C + 32, find C when F = 98.6
Răspuns
(B)
37
9
If y + 2x = 4 and y - 3x = -1, find the value of (x + y)
Răspuns
(A)
3
10
If x : y : z = 3 : 3 : 4, evaluate \(\frac{9x + 3y}{6z - 2y}\)
Răspuns
(A)
1\(\frac{1}{2}\)
11
Simplify; \(\frac{2 - 18m^2}{1 + 3m}\)
Răspuns
(C)
\(2(1 - 3m)\)
12
A curve is such that when y = 0, x = -2 or x = 3. Find the equation of the curve.
Răspuns
(D)
y = \(x^2 - x - 6\)
13
The volume of a cylindrical tank, 10m high is 385 m\(^2\). Find the diameter of the tank. [Take \(\pi = \frac{22}{7}\)]
Răspuns
(C)
7m
14
The surface area of a sphere is \(\frac{792}{7} cm^2\). Find, correct to the nearest whole number, its volume. [Take \(\pi = \frac{22}{7}\)]
Răspuns
(A)
113\(cm^3\)
15
The angles of a polygon are x, 2x, 2x, (x + \(30^o\)), (x + \(20^o\)) and (x - \(10^o\)). Find the value of x
Răspuns
(C)
\(84^o\)
16
If M and N are the points (-3, 8) and (5, -7) respectively, find |MN|
Răspuns
(D)
17 units
17
The equation of the line through the points (4,2) and (-8, -2) is 3y = px + q, where p and q are constants. Find the value of p.
Răspuns
(A)
1
18
The mean of 1, 3, 5, 7 and x is 4. Find the value of x
Răspuns
(B)
4
19
The table shows the distribution of goals scored by 25 teams in a football competition. Calculate the probability that a team selected at randon scored either 4 or 7 goals.
Răspuns
(A)
\(\frac{9}{25}\)
20
The table shows the distribution of goals scored by 25 teams in a football competition. Calculate the probability that a team selected at random scored at most 3 goals.
Răspuns
(D)
\(\frac{2}{5}\)
21
The total surface area of a hemispher is 75\(\pi cm^2\). Find the radius.
Răspuns
(A)
5.0 cm
22
Find the value of x for which \(\frac{x - 5}{x(x - 1)}\) is undefined.
Răspuns
(D)
0 or 1
23
Solved the equation \(2x^2 - x - 6\) = 0
Răspuns
(A)
x = \(\frac{-3}{2}\) or 2
24
Factorise completely the expression
\((x + 2)^2\) - \((2x + 1)^2\)
Răspuns
(D)
3(x + 1)(1 - x)
25
Find the \(n^{th}\) term of the sequence 2 x 3, 4 x 6, 8 x 9, 16 x 12...
Răspuns
(B)
2\(^n\) x 3n
26
If 3x\(^o\) 4(mod 5), find the least value of x
Răspuns
(C)
3
27
Find the inter-quartile range of 1, 3, 4, 5, 8, 9, 10, 11, 12, 14, 16
Răspuns
(C)
8
28
If x : y = \(\frac{1}{4} : \frac{3}{8}\) and y : z = \(\frac{1}{3} : \frac{4}{9}\), find x : z
Răspuns
(D)
1:2
29
Expression 0.612 in the form \(\frac{x}{y}\), where x and y are integers and y \(\neq\) 0
Răspuns
(A)
\(\frac{153}{250}\)
30
The angle of elevation of the top of a tree from a point 27m away and on the same horizontal ground as the foot of the tree is 30\(^o\). Find the height of the tree.
Răspuns
(D)
9\(\sqrt{3m}\)
31
In the diagram, which of the following ratios is equal to \(\frac{|PN|}{|PQ|}\)?
Răspuns
(C)
\(\frac{|PM|}{|PR|}\)
32
If P and Q are two statements, under what condition would p|q be false?
Răspuns
(B)
If p is true and q is false
33
Find the median of 2, 1, 0, 3, 1, 1, 4, 0, 1 and 2
Răspuns
(C)
1.0
34
Find the mean deviation of 20, 30, 25, 40, 35, 50, 45, 40, 20 and 45
Răspuns
(B)
9
35
Find the value of t in the diagram
Răspuns
(C)
126\(^o\)
36
In the diagram, PR is a tangent to the circle at Q, QT//RS, < SQR = 35º and < RSQ = 50º. Find the value of <QST
Răspuns
(D)
95\(^o\)
37
In the diagram, WXYZ is a rectangle with dimension 8cm by 6cm. P, Q, R and S are the midpoints of the sides of the rectangle as shown. Using this information, what type of quadrilateral is the shaded region?
Răspuns
(D)
Rhombus
38
In the diagram, PS and RS are tangents to the circle centre O. ∠PSR = 70°, ∠POR = m, and ∠PSR =n. Find ( m + n ).
Răspuns
(C)
165\(^o\)
39
In the diagram, WXYZ is a rectangle with diamension 8cm by 6cm. P, Q, R and S are the midpoints of the rectangle as shown. Using this information calculate the area of the part of the rectangle that is not shaded
Răspuns
(B)
24cm\(^2\)
40
The solution of x + 2 \(\geq\) 2x + 1 is illustrated
Răspuns
(A)
i
41
The diagram shows a trapezium inscribed in a semi-circle. If O is the mid-point of WZ and |WX| = |XY| = |YZ|, calculate the value of m
Răspuns
(B)
60\(^o\)
42
In the diagram, PQ//RS. Find x in terms of y and z
Răspuns
(D)
x = 360\(^o\) - y - z
43
In the diagram, PQ is a straight line, (m + n) = 110\(^o\) and (n + r) = 130\(^o\) and (m + r) = 120\(^o\). Find the ratio of m : n : r
Răspuns
(D)
5 : 6 : 7
44
Donations during the launching of a church project were sent in sealed envolopes. The table shows the distribution of the amount of money in the envelope. How much was the donation?
Răspuns
(D)
N62,972.00
45
A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector. [Take \(\pi = \frac{22}{7}\)]
