Jamb Mathematics 1991 Past Questions and Answers

Question 31:

• JAMB 1991

The area of a square is 144 sq cm. Find the length of its diagonal

A. 11\(\sqrt{3cm}\)
B. 12cm
C. 12\(\sqrt{2cm}\)
D. 13cm

Question 32:

• JAMB 1991

One angle of a rhombus is 60^o. The shorter of the two diagonals is 8cm long. Find the length of the longer one.

A. 8\(\sqrt{3}\)
B. \(\frac{16}{\sqrt{3}}\)
C. \(\sqrt{3}\)
D. \(\frac{10}{\sqrt{3}}\)

Question 33:

• JAMB 1991

If the exterior angles of a pentagon are x°, (x + 5)°, (x + 10)°, (x + 15)° and (x + 20)°, find x

A. 118^o
B. 72^o
C. 62^o
D. 36^o

Question 34:

• JAMB 1991

A flagstaff stands on the top of a vertical tower. A man standing 60 m away from the tower observes that the angles of elevation of the top and bottom of the flagstaff are 64^o and 62^o respectively. Find the length of the flagstaff.

A. 60 (tan 62^o - tan 64^o)
B. 60 (cot 64^o - cot 62^o)
C. 60 (cot 62^o - cot 64^o)
D. 60 (tan 64^o - tan 62^o)

Question 35:

• JAMB 1991

Simplify \(\cos^{2} x (\sec^{2} x + \sec^{2} x \tan^{2} x)\)

A. Tan x
B. Tanx secx
C. \(\sec^2 x\)
D. Cosec²x