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