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