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
پاسخ دهید
(B)
15:17
4
Convert 3510 to number in base 2
پاسخ دهید
(C)
100011
5
The nth term of a sequence is Tn = 5 + (n - 1)2. Evaluate T4 - T6
پاسخ دهید
(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?
پاسخ دهید
(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
پاسخ دهید
(D)
10%
8
Solve for x in the equation; \(\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}\)
پاسخ دهید
(A)
5
9
Simplify: \(\frac{54k^2 - 6}{3k + 1}\)
پاسخ دهید
(C)
6(3k - 1)
10
Make p the subject of the relation: q = \(\frac{3p}{r} + \frac{s}{2}\)
پاسخ دهید
(D)
p = \(\frac{2qr - rs}{6}\)
11
If x + y = 2y - x + 1 = 5, find the value of x
پاسخ دهید
(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
پاسخ دهید
(D)
5n - 33 = 0
13
Solve the inequality: \(\frac{-m}{2} - \frac{5}{4} \geq \frac{5m}{12} - \frac{7}{6}\)
پاسخ دهید
(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 \(\pi = \frac{22}{7}\)]`
پاسخ دهید
(A)
14cm
15
The lengths of the minor and major arcs 54cm and 126cm respectively. Calculate the angle of the major sector
پاسخ دهید
(B)
252o
16
In \(\bigtriangleup\) XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of these relation is true?
پاسخ دهید
(D)
/YZ/2 = /XZ/2 + /XY/2
17
If cos(x + 40)o = 0.0872, what is the value of x?
پاسخ دهید
(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
پاسخ دهید
(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
پاسخ دهید
(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
پاسخ دهید
(A)
\(\frac{8}{15}\)
21
Which of these statements about y = \(\sqrt{8m}\) is correct?
پاسخ دهید
(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)
پاسخ دهید
(C)
3\(\frac{3}{4}\)
23
Express 3 - [\(\frac{x - y}{y}\)] as a single fraction
پاسخ دهید
(C)
\(\frac{4y - x}{y}\)
24
If p = {prime factors of 210} and Q = {prime less than 10}, find p \(\cap\) Q
پاسخ دهید
(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?
پاسخ دهید
(A)
N43,200.00
26
Solve (\(\frac{27}{125}\))-\(\frac{1}{3}\) x (\(\frac{4}{9}\))\(\frac{1}{2}\)
پاسخ دهید
(A)
\(\frac{10}{9}\)
27
The sum of the interior angles of regular polygon is 1800o. How many sides has the polygon?
پاسخ دهید
(B)
12
28
Find the coefficient of m in the expression of (\(\frac{m}{2} - 1 \frac{1}{2}\)) (m + \(\frac{2}{3}\))
پاسخ دهید
(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
پاسخ دهید
(B)
90cm2
30
A side and a diagonal of a rhombus are 10cm and 12cm respectively, Find its area
پاسخ دهید
(D)
96cm2
31
Factorise completely: 32x2y - 48x3y3
پاسخ دهید
(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?
پاسخ دهید
(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?
پاسخ دهید
(B)
y = \(\frac{k}{x}\)
34
In the diagram, |QR| = 10m, |SR| = 8m
< QPS = 30o, < QRP = 90o and |PS| = x, Find x
پاسخ دهید
(C)
9.32m
35
In the diagram, O is a circle centre of the circle PQRS and < PSR = 86o. If < PQR = xo, find x
پاسخ دهید
(B)
172o
36
The diagram is a circle centre O. If < SPR = 2m and < SQR = n, express m in terms of n
پاسخ دهید
(A)
m = \(\frac{n}{2}\)
37
In the diagram, MQ//RS, < TUV = 70o and < RLV = 30o. Find the value of x
پاسخ دهید
(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
پاسخ دهید
(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
پاسخ دهید
(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?
پاسخ دهید
(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.
پاسخ دهید
(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?
پاسخ دهید
(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?
پاسخ دهید
(A)
11.1
44
In the diagram, MN//PO, < PMN = 112º, < PNO = 129º, < NOP = 37º and < MPN = yo. Find the value of y
پاسخ دهید
(B)
54o
45
The diagram is a circle with centre P. PRST are points on the circle. Find the value of < PRS
