GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 201:

• JAMB 1983

Given that cos z = L , whrere z is an acute angle, find an expression for \(\frac{\cot z - \csc z}{\sec z + \tan z}\)

A. \(\frac{1 - L}{1 + L}\)
B. \(\frac{L^2 \sqrt{3}}{1 + L}\)
C. \(\frac{1 + L^3}{L^2}\)
D. \(\frac{L(L - 1)}{1 - L + 1 \sqrt{1 - L^2}}\)

Question 202:

• JAMB 1983

The lengths of the sides of a right angled triangle are (3x + 1)cm, (3x - 1)cm and xcm. Find x

A. 2
B. 6
C. 18
D. 12
E. 5

Question 203:

• JAMB 1983

Find the angle of the sectors representing each item in pie chart of the following data 6, 10, 14, 16, 26

A. 15^o, 25^o, 35^o, 40^o, 65^o
B. 60^o, 100^o, 140^o, 160^o, 260^o
C. 6^o, 10^o, 14^o, 16^o, 26^o
D. 30^o, 50^o, 70^o, 80^o, 130^o
E. None of the above

Question 204:

• JAMB 1983

One interior angle of a convex hexagon is 170^o and each of the remaining interior angles is equal to x^o. Find x

A. 120^o
B. 110^o
C. 105^o
D. 102^o
E. 100^o

Question 205:

• JAMB 1983

A ship H leaves a port P and sails 30 km due south. Then it sails 50km due west. What is the bearing of H from P?

A. 20^o 34'
B. 243^o 26'
C. 116^o 34'
D. 63^o 26'
E. 240^o 56'