Express the product of 0.06 and 0.09 in standard form
Answer
(C)
5.4*10-3
3
Simplify 36\(^\frac{1}{2}\) x 64\(-^\frac{1}{3}\) x 5\(^0\)
Answer
(D)
11/2
4
Find the 8th term of the A.P -3, -1, 1 ......
Answer
(B)
11
5
A group of students took a test and the following frequency table shows the scores above
Find the mode
Answer
(C)
4
6
A group of students took a test and the following frequency table shows the scores above
The mean score is
Answer
(D)
2.75
7
A group of students took a test and the following frequency table shows the scores above
The median score is
Answer
(C)
3
8
If cos 60° = 1/2, which of the following angle has cosine of -1/2?
Answer
(B)
120o
9
In the diagram above, find the ratio |PQ|/|PR|
Answer
(B)
3 : 5
10
A ladder 9m long leans against a vertical wall, making an angle of 64° with the horizontal ground. calculate correct to one decimal place, how far the foot of the ladder is from the wall.
Answer
(A)
4.0m
11
What is the difference in longitude between P (lat. 50°N. long. 50°W) and Q (lat.50°N, long. 150°W)?
Answer
(D)
100o
12
The number 186,470 was corrected to 186,000. Which of the following describe the degree of approximation made?
I. to the nearest hundred II. to the nearest thousand III. to 3 significant figures IV. to 4 significant figures
Answer
(C)
II & III only
13
Points P and Q respectively 24m north and 7m east point R. Calculate |PQ| in meters
Answer
(C)
25
14
Points P and Q respectively 24m north and 7m east point R. What is the bearing of Q from P to the nearest whole degree?
Answer
(E)
164o
15
If sinθ = 3/5 find tanθ for 0 < θ < 90o
Answer
(B)
3\4
16
Simplify (271/3)2
Answer
(C)
9
17
A student told to draw the graph of y = x2 + 4x - 6. He is then told to draw a liner graph on the same axis such that the intersection of the two graphs will give the solutions to the equation x2 + 4x - 7 = 0, What is the equation of the linear graph he needs to draw?
Answer
(C)
y = 1
18
Calculate the value of x in the diagram above
Answer
(E)
15°
19
Find the quadratic equation whose roots are x = -2 or x = 7
Answer
(D)
x2 - 5x - 14 = 0
20
A sales girl gave a change of N1.15 to a customer instead of N1.25. Calculate her percentage error
Answer
(C)
8.0%
21
What is the probability of having an odd number in a single toss of a fair die?
Answer
(C)
1/2
22
A water tank is made with a right-angled trapezium - shaped vertical cross-section so that when it is placed on sloping ground the top of the tank is level. The dimension are given in the diagram above
If the tank is completely filled with water, how many cubic metres can it hold?
Answer
(C)
132m3
23
A water tank is made with a right-angled trapezium - shaped vertical cross-section so that when it is placed on sloping ground the top of the tank is level. The dimension are given in the diagram above
By what number will you multiply your answer in 22 above to determine the capacity of the tank in liters?
Answer
(E)
1000
24
Evaluate log106 + log1045 - log1027 without using logarithm tables
Answer
(B)
1
25
Find the product xy if, x, 3/2, 6/7, y are in G.P
Answer
(C)
9/7
26
In the diagram above, O is the center of the circle, BOC is a diameter and angle ADC is 37o
What is ACB?
Answer
(D)
53o
27
Factorize 5y\(^2\) + 2ay - 3a\(^2\)
Answer
(E)
(y + a) (5y - 3a)
28
Which of the following is a correct method for constructing an angle of 60o at Q?
Answer
(B)
II only
29
IN the diagram above, LK/PQ, reflex angle KLM = 241° and ∠QPM = 89°. What is the value of ∠LMP?
Answer
(A)
30o
30
Abidjan is 4o west of Accra and on the same circle of latitude. If the radius of this circle of latitude is 6370km, how far is Abidjan west of Accra, correct to the nearest kilometer? [Take π = 22/7]
Answer
(B)
445km
31
Which of the regions P, Q, R, S and T satisfies the following 0 < y < 1, y < x + 2, x < 0
Answer
(E)
T
32
A cone is made from a sector of circle of radius 14cm and angle of 90o. What is the area of the curved surface of the cone? (Take x = 22/7)
Answer
(D)
154cm2
33
In the diagram above, O is the centre of the circle through points L, M and N, if ∠MLN = 74o and ∠MNL = 39o, calculate ∠LON.
Answer
(E)
134o
34
A rope of length 18m is used to form a sector of a circle of radius 3.5m on a school playing field. What is the size of the angle of the sector, correct to the nearest degree?
Answer
(D)
180o
35
In the diagram above, PR is perpendicular from P to QS, PQ = 2cm, QR = 1cm and PR = RS. what is the size of the angle QPS?
Answer
(D)
75o
36
Cotonou and Niamey are on the same line of longitude and Niamey is 7o north of Cotonou. If the radius of the earth is 6400km, how far is Niamey north of Cotonou along the line of longitude, correct to the nearest kilometer? [Take π = 22/7]
Answer
(C)
782km
37
If Q = (all perfect squares less than 30) and P = (all odd numbers from 1 to 10). Find Q ∩ P.
Answer
(D)
(1, 9)
38
The histogram below shows the number of candidates, in thousands, obtaining given ranges of marks in a State examination. Find the total number of candidates that sat for the examination
Answer
(E)
270,000
39
The histogram below shows the number of candidates, in thousands, obtaining given ranges of marks in a State examination. How many candidates scored at most 30%?
Answer
(D)
35,000
40
The surnames of 40 children in a class arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A, 14, of the letters of the alphabet do not appear as the first letter of a surname
What is the probability that the surname of a child picked at random from the class begins with either O or A?
