GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 126:

• JAMB 1978

In the Figure FD\\AC, the area of AEF = 6sq.cm. AE = 3cm, BC = 3cm, CD = 5cm, < BCD is an obtuse angle. Find the length of BD.

A. \(\sqrt{33}\)
B. 6
C. 4
D. 2\(\sqrt{13}\)
E. 4\(\sqrt{5}\)

Question 127:

• JAMB 1979

If the value of \(\pi\) is taken to be \(\frac{22}{7}\), the area of a semi-circle of diameter 42m is

A. 5544m²
B. 1386m²
C. 132m²
D. 264m²
E. 693m²

Question 128:

• JAMB 1979

In \(\bigtriangleup\)PQR, PQ = 10cm, QR = 8cm and RP = 6cm, the perpendicular RS is drawn from R to PQ. Find the length of RS

A. 4cm
B. 32cm
C. \(\frac{30}{7}\)
D. \(\frac{40}{7}\)
E. 4.8cm

Question 129:

• JAMB 1979

A square of cardboard is taped at the perimeter by a piece of ribbon 20cm long. What is the area of the board?

A. 20sq.cm
B. 100sq.cm
C. 25sq.cm
D. 16sq.cm
E. 36sq.cm

Question 130:

• JAMB 1979

A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?

A. \(\frac{44}{3}\)\(\pi\)cm³
B. 12\(\pi\)cm³
C. \(\frac{38}{3}\)\(\pi\)cm³
D. \(\frac{40}{3}\)\(\pi\)cm³
E. \(\frac{32}{33}\)\(\pi\)cm³