Simplify 125\(^{\frac{-1}{3}}\) x 49\(^{\frac{-1}{2}}\) x 10\(^0\)
Answer
(C)
1/35
2
If 3\(^{2x}\) = 27, what is x?
Answer
(B)
1.5
3
Express 0.00562 in standard form
Answer
(A)
5.62 x 10-3
4
Given that 1/3log10 P = 1, find the value of P
Answer
(E)
1000
5
Simplify \(\frac{\log \sqrt{8}}{\log 8}\)
Answer
(B)
1/2
6
Evaluate using the logarithm table, log(0.65)2
Answer
(D)
3.6258
7
If log x = \(\bar{2}.3675\) and log y = 0.9750, what is the value of x + y? Correct to three significant figures
Answer
(E)
9.46
8
While doing his physics practical, Idowu recorded a reading as 1.12cm instead of 1.21cm. Calculate his percentage error
Answer
(C)
7.44%
9
Find the 4th term of an A.P, whose first term is 2 and the common difference is 0.5
Answer
(C)
3.5
10
From the graph determine the roots of the equation y = 2x\(^2\) + x - 6
Answer
(C)
-2, 1.5
11
Find the values of x for which y = 5
Answer
(B)
-2.6, 2.1
12
An arc of length 22cm subtends an angle of θ at the center of the circle. What is the value of θ if the radius of the circle is 15cm?[Take π = 22/7]
Answer
(B)
84o
13
Find the sum of the first five terms of the G.P 2,6, 18 ....
Answer
(C)
242
14
Let J be the set of positive integers, If H = {x: x∈J, x\(^2\) < 3 and x ≠ 0}, then
Answer
(A)
H = {1}
15
In a class of 80 students, every students had to study economics or geography, or both economics and geography, if 65 students studied economics and 50 studied geography, how many studied both subjects?
Answer
(C)
35
16
The area shaded with horizontal lines is the solution set of the inequalities;
Answer
(B)
y ≤ x, y + 2x ≥ -3, x ≤ 3
17
the area shaded with vertical lines is the solution set of the inequalities;
Answer
(C)
y ≤ x, y ≤ 2x - 3, x ≤ 3
18
In the diagram above, O is the center of the circle with radius 10cm, and ∠ABC = 30°. Calculate, correct to 1 decimal place, the length of arc AC [Take π = 22/7]
Answer
(B)
10.5cm
19
Factorize x\(^2\) + 4x - 192
Answer
(C)
(x-12) (x+16)
20
Factorize 2e\(^2\) - 3e + 1
Answer
(A)
(2e-1) (e-1)
21
Solve the equation 7y\(^2\) = 3y
Answer
(C)
y = 0 or 3/7
22
Find the value of m which makes x\(^2\) + 8 + m a perfect square
Answer
(E)
16
23
Solve the equation 2a\(^2\) - 3a - 27 = 0
Answer
(E)
-3, 9/2
24
A sector of a circle of radius 7cm has an area of 44cm2. Calculate the angle of the sector correct to the nearest degree [Take π = 22/7]
Answer
(D)
103o
25
calculate the surface area of a sphere of radius 7cm [Take π = 22/7]
Answer
(C)
616cm2
26
If the radius of the parallel of latitude 30°N is equal to the radius of the parallel of latitude θ°S, what is the value of θ?
Answer
(D)
30o
27
A cylindrical container closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]
Find the total surface area of the container
Answer
(D)
528cm2
28
A cylindrical container closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]. What is the volume of the container?
Answer
(E)
770cm3
29
In the diagram above, |PQ| = |PR| = |RS| and ∠RPS = 32°. Find the value of ∠QPR
Answer
(C)
52o
30
In the diagram above, WXYZ is a rhombus and ∠WYX = 20°. What is the value of ∠XZY
Answer
(E)
70o
31
In the diagram above PS||RQ, |RQ| = 6.4cm and perpendicular PH = 3.2cm. Find the area of SQR
Answer
(C)
10.24cm2
32
Which angle is equal to ∠VWZ?
Answer
(A)
∠VXZ
33
Which triangle is equal in area to ΔVWZ
Answer
(B)
ΔVYZ
34
In the diagram above, PQRS s a cyclic quadrilateral, ∠PSR = 86o and ∠QPR = 38o. Calculate PRQ
Answer
(C)
48o
35
In the diagram below, O is the center of the circle if ∠QOR = 290o, find the size ∠QPR
Answer
(D)
35o
36
In the diagram above, PQ is a tangent at T to the circle ABT. ABC is a straight line and TC bisects ∠BTO. Find x.
Answer
(E)
50o
37
Which of the sketches above gives a correct method for constructed an angle of 120o at the point P?
Answer
(D)
I and II only
38
Use mathematical table to evaluate (cos40° - sin30°)
Answer
(D)
0.2660
39
If the shadow of a pole 7m high is 1/2 its length what is the angle of elevation of the sun, correct to the nearest degree?
Answer
(B)
63o
40
From the top of a building 10m high, the angle of depression of a stone lying on the horizontal ground is 69o. Calculate ,correct to one decimal place, the distance of the stone from the foot of the building
Answer
(B)
3.8m
41
The bearing of a point X from a point Y is 074°. What is the bearing of Y from X?
Answer
(D)
254o
42
The annual salary of Mr. Johnson Mohammed for 1989 was N12,000.00. He spent this on agriculture projects, education of his children, food items, saving , maintenance and miscellaneous items as shown in the pie chart
How much money did he invest in agriculture?
Answer
(E)
N4,000.00
43
The table shows that the amount of money (in naira)collected through voluntary donations in a secondary school. What is the mode?
Answer
(D)
N12
44
The table shows that the amount of money (in naira)collected through voluntary donations in a secondary school.
What is the median of distribution
Answer
(C)
N12.00
45
Two groups of male students cast their votes on a particular proposal. The result are as follows:
In favor
Against
Group A
128
32
Group B
96
48
If a student in favor of the proposal is selected for a post, what is the probability that he is from group A?
