GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 106:

• JAMB 2013

In triangle PQR, q = 8 cm, r = 6 cm and cos P = \(\frac{1}{12}\). Calculate the value of p.

A. \(\sqrt{108}\) cm
B. 9 cm
C. \(\sqrt{92}\) cm
D. 10 cm

Question 107:

• JAMB 2013

If \(\tan \theta = \frac{3}{4}\), find the value of \(\sin \theta + \cos \theta\).

A. \(1\frac{1}{3}\)
B. \(1\frac{2}{3}\)
C. \(1\frac{3}{5}\)
D. \(1\frac{2}{5}\)

Question 108:

• JAMB 1978

A rectangular picture 6cm by 8cm is enclosed by a frame \(\frac{1}{2}\)cm wide. Calculate the area of the frame

A. 15sq.cm
B. 20sq.cm
C. 13sq.cm
D. 16sq.cm
E. 17sq.cm

Question 109:

• JAMB 1978

The number of telephone calls N between two cities A and B varies directly as the population P\(_{A}\), P\(_B\) respectively and inversely as the square of the distance D between A and B. Which of the following equations represents this relation?

A. N = \(\frac{kp_A}{D^2} + {cp_B}{D^2}\)
B. N = \(\frac{k P_{A} P_{B} }{D^2}\)
C. N = \(\frac{kD_AP_D}{B^2}\)
D. N = \(\frac{kD^2_AP_D}{B}\)

Question 110:

• JAMB 1978

If the four interior angles of a quadrilateral are (p + 10)o, (p - 30)o, (2p - 450o, and (p + 15)o, then p is

A. 125^o
B. 82^o
C. 135^o
D. 105^o
E. 60^o