The distance, d, through which a stone falls from rest varies directly as the square of the time, t, taken. If the stone falls 45cm in 3 seconds, how far will it fall in 6 seconds?
Answer
(C)
180cm
5
Which of following is a valid conclusion from the premise. "Nigeria footballers are good footballers"?
Answer
(C)
Joseph is a Nigerian footballer therefore he is a good footballer
6
On a map, 1cm represent 5km. Find the area on the map that represents 100km2.
The table shows the ages of students in a club. How many students are in the club?
Answer
(A)
50
21
\(\begin{array}{c|c}
Age(years) & 13 & 14 & 15 & 16 & 17 \\
\hline
Frequency & 10 & 24 & 8 & 5 & 3
\end{array}\)
Find the median age
Answer
(B)
14
22
In the diagram, \(\bar{YW}\) is a tangent to the circle at X, |UV| = |VX| and < VXW = 50º. Find the value of < UXY.
Answer
(B)
80o
23
In the diagram, \(\bar{PF}\), \(\bar{QT}\), \(\bar{RG}\) intersect at S and PG||RG. If < SPQ = 113o and < RSt = 220, find < PSQ
Answer
(B)
45o
24
In the diagram, O is the centre of the circle, < XOZ = (10cm)o and < XWZ = mo. Calculate the value of m.
Answer
(A)
30
25
Kweku walked 8m up to slope and was 3m above the ground. If he walks 12m further up the slope, how far above the ground will he be?
Answer
(C)
7.5m
26
In the diagram, TS is a tangent to the circle at S. |PR| and < PQR = 177o. Calculate < PST.
Answer
(A)
54o
27
In the diagram, PR||SV||WY|, TX||QY|, < PQT = 48o and < TXW = 60o.Find < TQU.
Answer
(C)
72o
28
In the diagram, TX is perpendicular to UW, |UX| = 1cm and |TX| = |WX| = \(\sqrt{3}\)cm. Find UTW
Answer
(C)
75o
29
The figure is a pie chart which represents the expenditure of a family in a year. If the total income of the family was Le 10,800,000.00, how much was spent on food?
Answer
(C)
Le 3,600,000.00
30
A fair die is thrown two times. What is the probability that the sum of the scores is at least 10?
Answer
(B)
\(\frac{1}{6}\)
31
The marks of eight students in a test are: 3, 10, 4, 5, 14, 13, 16 and 7. Find the range
Answer
(C)
13
32
If log2(3x - 1) = 5, find x.
Answer
(D)
11
33
A sphere of radius rcm has the same volume as cylinder of radius 3cm and height 4cm. Find the value of r
Answer
(C)
3
34
Express 1975 correct to 2 significant figures
Answer
(D)
2,000
35
The diagram, MOPQ is a trapezium with QP||MO, MQ||NP, NQ||OP, |QP| = 9cm and the height of \(\Delta\) QNP = 6cm, calculate the area of the trapezium.
Answer
(C)
81cm2
36
The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector [Take \(\pi = \frac{22}{7}\)]
Answer
(B)
60o
37
Examine M' \(\cap\) N from the venn diagram
Answer
(A)
{f, g}
38
If 20(mod 9) is equivalent to y(mod 6), find y.
Answer
(B)
2
39
Simplify \(\frac{(p - r)^2 - r^2}{2p^2 - 4pr}\)
Answer
(A)
\(\frac{1}{2}\)
40
In the diagram, O is the centre of the circle, < QPS = 100o, < PSQ = 60o and < QSR. Calculate < SQR
Answer
(A)
20o
41
A bag contains 5 red and 4 blue identical balls. Id two balls are selected at random from the bag, one after the other, with replacement, find the probability that the first is red and the second is blue
Answer
(C)
\(\frac{20}{81}\)
42
The relation y = x2 + 2x + k passes through the point (2,0). Find the value of k
Answer
(A)
- 8
43
Find the next three terms of the sequence; 0, 1, 1, 2, 3, 5, 8...
Answer
(D)
13, 21, 34
44
Find the lower quartile of the distribution illustrated by the cumulative frequency curve
Answer
(B)
19.0
45
The ratio of the exterior angle to the interior angle of a regular polygon is 1:11. How many sides has the polygon?
