2007 - JAMB Mathematics Past Questions and Answers - page 1
1
A particle p moves between points S and T such that angle SPT is always constant. Find the locus of P.
A
it is a straight line perpendicular to ST.
B
it is a quadrant of a circle with ST as diameter
C
it is a perpendicular bisector of ST
D
it is a semi-circle with ST as diameter
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2
The area of a square is 444 sqcm. Find the length of the diagonal.
A
12\(\sqrt{2}\) cm
B
11\(\sqrt{3}\)cm
C
13 cm
D
12 cm
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3
Find the value of \(\frac{tan60^o - tan30^o}{tan60^o + tan30^o}\)
A
1
B
\(\frac{1}{2}\)
C
\(\frac{3}{\sqrt{3}}\)
D
\(\frac{2}{\sqrt{3}}\)
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4
Calculate the length of an arc of a circle of diameter 14cm, which subtends an angle of 90o at the centre of the circle
A
14\(\pi\) cm
B
7\(\pi\) cm
C
5\(\pi\) cm
D
4\(\pi\) cm
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5
What is the value of k if the mid-point of the line joining (1 - k, -4) and (2, k - 1) is (-k, k)?
A
-4
B
-1
C
-2
D
-3
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6
\(\begin{array}{c|c} \text{Age in years} & 10 & 11 & 12\\
\hline \text{No. of pupils} & 6 & 27 & 7\end{array}\)
the table above shows the number of pupil in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?
the table above shows the number of pupil in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?
A
\(\frac{27}{40}\)
B
\(\frac{3}{30}\)
C
\(\frac{17}{20}\)
D
\(\frac{33}{40}\)
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7
If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively, find the product of the modal and the median number
A
40
B
30
C
48
D
36
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8
In how many ways can 6 subjects be selected from 10 subjects for an examination?
A
218
B
210
C
215
D
216
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9
in a basket, there are 6 grapes, 11 bananas and 13 oranges. If one fruit is chosen at random, what is the probability that the fruit is either a grape or banana?
A
\(\frac{5}{30}\)
B
\(\frac{6}{30}\)
C
\(\frac{11}{30}\)
D
\(\frac{17}{30}\)
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10
a senatorial candidate had planned to visit seven cities prior to a primary election. However, he could only visit four of the cities. How many different itineraries could be considered?
A
840
B
720
C
640
D
520
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