GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 236:

• JAMB 1985

Without using table, calculate the value of 1 + sec2 30o

A. 2\(\frac{1}{3}\)
B. \(\frac{2}{15}\)
C. \(\frac{5}{3}\)
D. 3\(\frac{1}{2}\)

Question 237:

• JAMB 1985

Find the area of a regular hexagon inscribed in a circle of radius 8cm

A. 16\(\sqrt{3}\) cm³
B. 96\(\sqrt{3}\) cm³
C. 192\(\sqrt{3}\) cm³
D. 16\(\sqrt{3}\) cm²
E. 33cm²

Question 238:

• JAMB 1985

If cos \(\theta\) = \(\frac{\sqrt{3}}{2}\) and \(\theta\) is less than 90o. Calculate \(\frac{\cot(90 - \theta)}{sin^2\theta}\)

A. \(\frac{4}{\sqrt{3}}\)
B. \(4 \sqrt{3}\)
C. \(\sqrt{\frac{3}{2}}\)
D. \(\frac{1}{\sqrt{3}}\)
E. \(\frac{2}{\sqrt{3}}\)

Question 239:

• JAMB 1985

A solid sphere of radius 4cm has a mass of 64kg. What will be the mass of a shell of the same metal whose internal and external radii are 2cm and 3cm respectively?

A. 5kg
B. 16kg
C. 19kg
D. 6kg

Question 240:

• JAMB 1985

PRSQ is a trapezium of area 14cm² in which PQ||RS. If PQ = 4cm and SR = 3cm, Find the area of SQR in cm²

A. 7.0
B. 6.0
C. 5.2
D. 5.0