GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 291:

• JAMB 1988

If \(\cos^2 \theta + \frac{1}{8} = \sin^2 \theta\), find \(\tan \theta\).

A. 3
B. \(\frac{3\sqrt{7}}{7}\)
C. 3\(\sqrt{7}\)
D. \(\sqrt{7}\)

Question 292:

• JAMB 1988

If a metal pipe 10cm long has an external diameter of 12cm and a thickness of 1cm find the volume of the metal used in making the pipe

A. 120\(\pi\)cm³
B. 110\(\pi\)cm³
C. 60\(\pi\)cm³
D. 50\(\pi\)cm³

Question 293:

• JAMB 1988

PQR is a triangle in which PQ = 10cm and QPR = 60^oS is a point equidistant from P and Q. Also S is a point equidistant from PQ and PR. If U is the foot of the perpendicular from S on PR, find the length SU in cm to one decimal place

A. 2.7
B. 4.33
C. 3.1
D. 3.3

Question 294:

• JAMB 1988

In the figure, PQRS is a circle. If chords QR and RS are equal, calculate the value of x

A. 80^o
B. 60^o
C. 45^o
D. 40^o

Question 295:

• JAMB 1988

In the figure, PQ is a parallel to ST and QRS = 40^o. Find the value of x

A. 55^o
B. 60^o
C. 65^o
D. 75^o