In 1995, the enrollment of two schools X and Y were 1,050 and 1,190 respectively. Find the ration of the enrollments of X and Y
Trả lời
(B)
15:17
4
Convert 3510 to number in base 2
Trả lời
(C)
100011
5
The nth term of a sequence is Tn = 5 + (n - 1)2. Evaluate T4 - T6
Trả lời
(C)
-16
6
Mr. Manu travelled from Accra to Pamfokromb a distance of 720km in 8 hours. What will be his speed in m/s?
Trả lời
(A)
25m/s
7
If N2,500.00 amounted to N3,50.00 in 4 years at simple interest, find the rate at which the interest was charged
Trả lời
(D)
10%
8
Solve for x in the equation; \(\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}\)
Trả lời
(A)
5
9
Simplify: \(\frac{54k^2 - 6}{3k + 1}\)
Trả lời
(C)
6(3k - 1)
10
Make p the subject of the relation: q = \(\frac{3p}{r} + \frac{s}{2}\)
Trả lời
(D)
p = \(\frac{2qr - rs}{6}\)
11
If x + y = 2y - x + 1 = 5, find the value of x
Trả lời
(B)
2
12
The sum of 12 and one third of n is 1 more than twice n. Express the statement in the form of an equation
Trả lời
(D)
5n - 33 = 0
13
Solve the inequality: \(\frac{-m}{2} - \frac{5}{4} \geq \frac{5m}{12} - \frac{7}{6}\)
Trả lời
(C)
m \(\leq - \frac{1}{11}\)
14
The curved surface area of a cylindrical tin is 704cm2. If the radius of its base is 8cm, find the height. [Take \(\pi = \frac{22}{7}\)]`
Trả lời
(A)
14cm
15
The lengths of the minor and major arcs 54cm and 126cm respectively. Calculate the angle of the major sector
Trả lời
(B)
252o
16
In \(\bigtriangleup\) XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of these relation is true?
Trả lời
(D)
/YZ/2 = /XZ/2 + /XY/2
17
If cos(x + 40)o = 0.0872, what is the value of x?
Trả lời
(D)
45o
18
A kite flies on a taut string of length 50m inclined at tan angle 54o to the horizontal ground. The height of the kite above the ground is
Trả lời
(B)
50 sin 54o
19
Given that the mean of the scores 15, 21, 17, 26, 18 and 29 is 21, calculate the standard deviation of the scores
Trả lời
(C)
5
20
A bag contains 4 red and 6 black balls of the same size. If the balls are shuffled briskly and two balls are drawn one after the other without replacement, find the probability of picking balls of different colours
Trả lời
(A)
\(\frac{8}{15}\)
21
Which of these statements about y = \(\sqrt{8m}\) is correct?
Trả lời
(D)
log y = \(\frac{3}{2}\) log 2 + \(\frac{1}{2}\) log m
22
If x + 0.4y = 3 and y = \(\frac{1}{2}\)x, find the value of (x + y)
Trả lời
(C)
3\(\frac{3}{4}\)
23
Express 3 - [\(\frac{x - y}{y}\)] as a single fraction
Trả lời
(C)
\(\frac{4y - x}{y}\)
24
If p = {prime factors of 210} and Q = {prime less than 10}, find p \(\cap\) Q
Trả lời
(D)
{2,3,5,7}
25
Alfred spent \(\frac{1}{4}\) of his money on food, \(\frac{1}{3}\) on clothing and save the rest. If he saved N72,20.00, how much did he spend on food?
Trả lời
(A)
N43,200.00
26
Solve (\(\frac{27}{125}\))-\(\frac{1}{3}\) x (\(\frac{4}{9}\))\(\frac{1}{2}\)
Trả lời
(A)
\(\frac{10}{9}\)
27
The sum of the interior angles of regular polygon is 1800o. How many sides has the polygon?
Trả lời
(B)
12
28
Find the coefficient of m in the expression of (\(\frac{m}{2} - 1 \frac{1}{2}\)) (m + \(\frac{2}{3}\))
Trả lời
(D)
-1\(\frac{1}{6}\)
29
The volume of a cuboid is 54cm3. If the length, width and height of the cuboid are in the ratio 2:1:1 respectively, find its total surface area
Trả lời
(B)
90cm2
30
A side and a diagonal of a rhombus are 10cm and 12cm respectively, Find its area
Trả lời
(D)
96cm2
31
Factorise completely: 32x2y - 48x3y3
Trả lời
(A)
16x2y(2 - 3xy2)
32
If x and y are variables and k is a constant, which of the following describes an inverse relationship between x and y?
Trả lời
(B)
y = \(\frac{k}{x}\)
33
If x and y are variables and k is a constant, which of the following describes an inverse relationship between x and y?
Trả lời
(B)
y = \(\frac{k}{x}\)
34
In the diagram, |QR| = 10m, |SR| = 8m
< QPS = 30o, < QRP = 90o and |PS| = x, Find x
Trả lời
(C)
9.32m
35
In the diagram, O is a circle centre of the circle PQRS and < PSR = 86o. If < PQR = xo, find x
Trả lời
(B)
172o
36
The diagram is a circle centre O. If < SPR = 2m and < SQR = n, express m in terms of n
Trả lời
(A)
m = \(\frac{n}{2}\)
37
In the diagram, MQ//RS, < TUV = 70o and < RLV = 30o. Find the value of x
Trả lời
(C)
100o
38
Is the diagram, MN, PQ and RS are three intersecting straight lines. Which of the following statements is/are true? i. t = y ii. x + y + z + m = 180o iii. x + m + n = 180o iv. x + n = m + z
Trả lời
(C)
iii
39
The position of three ships P,Q and R at sea are illustrated in the diagram. The arrows indicated the North direction. The bearing of Q from P is 050o and < PQR = 72o. Calculate the bearing of R and Q
Trả lời
(C)
158o
40
The bar chart shows the frequency distribution of marks scored by students in a class test. How many students are in the class?
Trả lời
(C)
25
41
The bar chart shows the frequency distribution of marks scored by students in a class test. Calculate the mean of the distribution.
Trả lời
(C)
2.4
42
The bar chart shows the frequency distribution of marks scored by students in a class test. What is the median of the distribution?
Trả lời
(A)
2
43
The graph is that of y = 2x2 - 5x - 3. For what value of x will y be negative? What is the gradient of y = 2x2 - 5x - 3 at the point x = 4?
Trả lời
(A)
11.1
44
In the diagram, MN//PO, < PMN = 112º, < PNO = 129º, < NOP = 37º and < MPN = yo. Find the value of y
Trả lời
(B)
54o
45
The diagram is a circle with centre P. PRST are points on the circle. Find the value of < PRS
