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