GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 186:

• JAMB 1982

If sin \(\theta\) = \(\frac{m - n}{m + n}\); Find the value of 1 + tan2\(\theta\)

A. \(\frac{(m^2 + n^2)}{m + n}\)
B. \(\frac{(m^2 + n^2 + 2mn)}{4mn}\)
C. \(\frac{2(m^2 + n^2 + mn)}{m + n}\)
D. \(\frac{(m^2 + n^2 + mn)}{m + n}\)

Question 187:

• JAMB 1982

A stone Q is tied to a point P vertically above Q by an inelastic string of length 2 meters. How high does the stone rise when the string is inclined at an angle 60^o to the vertical?

A. It does not rise
B. 2\(\sqrt{3}\) meters
C. 3 meters
D. 1 meters
E. 3

Question 188:

• JAMB 1982

In a regular polygon of n sides, each interior angle is 144o. Find n

A. 12
B. 11
C. 10
D. 8
E. 6F

Question 189:

• JAMB 1982

The area of the curved surface of the cone generated by the sector of a circle radius 6cm and are length 22cm is (\(\pi\) = \(\frac{22}{7}\))

A. 58 sq.cm
B. 34 sq.cm
C. 132 sq.cm
D. 77 sq.cm
E. 66 sq.cm

Question 190:

• JAMB 1982

The square base of a pyramid of side 3cm has height 8cm. If the pyramid is cut into two parts by a plane parallel to the base midway between the base and the vertex, the volumes of the two sections are

A. (21cm³, 3cm³)
B. (24cm³, 3cm³)
C. (24cm³, 21cm³)
D. (72cm³, 9cm³)
E. (63cm³, 9cm³)