GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 151:

• JAMB 1980

In triangle FGB, < G = 90^o, < H = 60^o, while in triangle XYZ, < X = 60^o and < Y = 30^o. Form XYZ write down the ratio equal to \(\frac{FG}{FH}\)

A. \(\frac{YX}{ZX}\)
B. \(\frac{YX}{YZ}\)
C. \(\frac{ZX}{YZ}\)
D. \(\frac{YZ}{XY}\)

Question 152:

• JAMB 1980

A pentagon has four of its angles equal. If the size of the fifth angle is 60^o, Find the size of each of the four equal angles.

A. 60^o
B. 108^o
C. 120^o
D. 150^o
E. None of the above

Question 153:

• JAMB 1980

Simplify the given expression \(\sqrt{\frac{1 - cos x}{1 + cos x}}\)

A. \(\frac{1 - cos x}{sin x}\)
B. 1 - cos x
C. Sin x
D. 1 + cos x
E. \(\frac{1 + cos x}{sin x}\)

Question 154:

• JAMB 1980

Find the area of the curved surface of a cone whose base radius is 6cm and whose height is 8cm. (take \(\pi\) = \(\frac{22}{7}\))

A. 188.57cm²
B. 1320cm²
C. 188cm²
D. 188.08cm²
E. 10cm²

Question 155:

• JAMB 1980

Solve the equation for the positive values of \(\theta\) less than 360^o. 3 tan \(\theta\) + 2 = -1

A. 135^o or 315^o
B. 45^o or 135^o
C. 315^o or 180^o
D. 315v + 45^o
E. 360^o or 315^o