Post Utme Abia State University Mathematics Past Questions and Answers

Question 11:

A cylindrical tank has a capacity of \(3080 \mathrm{~m}^{3}\) what is the depth of the tank if the diameter of its back is \(14 \mathrm{~m}\) ?

A. \(20 \mathrm{~m}\)
B. \(22 \mathrm{~m}\)
C. \(23 \mathrm{~m}\)
D. \(25 \mathrm{~m}\)

Question 12:

A sector of a circle of, radlus of 7.2em which subtends an angle 3000 at the centre is used to form a cone. What is the radius of the base of the cone?

A. \(6 \mathrm{~cm}\)
B. \(7 \mathrm{~cm}\)
C. \(8 \mathrm{~cm}\)
D. \(9 \mathrm{~cm}\)

Question 13:

The chord ST of a circle is equal to the radius, \(r\) of the circle. Find the length of \(\operatorname{arcST}\)

A. \(\pi / 2\)
B. \(\pi r / 3\)
C. \(\pi r / 3\)
D. \(\pi r / 12\)

Question 14:

A point P moves such that it is equidistant from the points \(Q\) and \(R\). find \(\mathrm{QR}\) when \(\mathrm{PR}=8 \mathrm{~cm}\) and \(\angle P R Q=300\).

A. \(4 \mathrm{~cm}\)
B. \(4 \sqrt{3}\)
C. \(8 \mathrm{~cm}\)
D. \(8 \sqrt{3} \mathrm{~cm}\)

Question 15:

Find the locus of a point which moves such that its distance from the line \(y=4\) is a constant, \(K\)

A. \(y=4+k\)
B. \(y=k-4\)
C. \(Y=R+4\)
D. \(Y=4+k 10\)