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?
Одговорити
(D)
52.5%
7
If \(\log_{10}\)(6x - 4) - \(\log_{10}\)2 = 1, solve for x.
Одговорити
(C)
4
8
If F = \(\frac{9}{5}\)C + 32, find C when F = 98.6
Одговорити
(B)
37
9
If y + 2x = 4 and y - 3x = -1, find the value of (x + y)
Одговорити
(A)
3
10
If x : y : z = 3 : 3 : 4, evaluate \(\frac{9x + 3y}{6z - 2y}\)
Одговорити
(A)
1\(\frac{1}{2}\)
11
Simplify; \(\frac{2 - 18m^2}{1 + 3m}\)
Одговорити
(C)
\(2(1 - 3m)\)
12
A curve is such that when y = 0, x = -2 or x = 3. Find the equation of the curve.
Одговорити
(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 \(\pi = \frac{22}{7}\)]
Одговорити
(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 \(\pi = \frac{22}{7}\)]
Одговорити
(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
Одговорити
(C)
\(84^o\)
16
If M and N are the points (-3, 8) and (5, -7) respectively, find |MN|
Одговорити
(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.
Одговорити
(A)
1
18
The mean of 1, 3, 5, 7 and x is 4. Find the value of x
Одговорити
(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.
Одговорити
(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.
Одговорити
(D)
\(\frac{2}{5}\)
21
The total surface area of a hemispher is 75\(\pi cm^2\). Find the radius.
Одговорити
(A)
5.0 cm
22
Find the value of x for which \(\frac{x - 5}{x(x - 1)}\) is undefined.
Одговорити
(D)
0 or 1
23
Solved the equation \(2x^2 - x - 6\) = 0
Одговорити
(A)
x = \(\frac{-3}{2}\) or 2
24
Factorise completely the expression
\((x + 2)^2\) - \((2x + 1)^2\)
Одговорити
(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...
Одговорити
(B)
2\(^n\) x 3n
26
If 3x\(^o\) 4(mod 5), find the least value of x
Одговорити
(C)
3
27
Find the inter-quartile range of 1, 3, 4, 5, 8, 9, 10, 11, 12, 14, 16
Одговорити
(C)
8
28
If x : y = \(\frac{1}{4} : \frac{3}{8}\) and y : z = \(\frac{1}{3} : \frac{4}{9}\), find x : z
Одговорити
(D)
1:2
29
Expression 0.612 in the form \(\frac{x}{y}\), where x and y are integers and y \(\neq\) 0
Одговорити
(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.
Одговорити
(D)
9\(\sqrt{3m}\)
31
In the diagram, which of the following ratios is equal to \(\frac{|PN|}{|PQ|}\)?
Одговорити
(C)
\(\frac{|PM|}{|PR|}\)
32
If P and Q are two statements, under what condition would p|q be false?
Одговорити
(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
Одговорити
(C)
1.0
34
Find the mean deviation of 20, 30, 25, 40, 35, 50, 45, 40, 20 and 45
Одговорити
(B)
9
35
Find the value of t in the diagram
Одговорити
(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
Одговорити
(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?
Одговорити
(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 ).
Одговорити
(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
Одговорити
(B)
24cm\(^2\)
40
The solution of x + 2 \(\geq\) 2x + 1 is illustrated
Одговорити
(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
Одговорити
(B)
60\(^o\)
42
In the diagram, PQ//RS. Find x in terms of y and z
Одговорити
(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
Одговорити
(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?
Одговорити
(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 \(\pi = \frac{22}{7}\)]
