Euclidean Geometry - Jamb Mathematics Past Questions and Answers

Question 56:

• JAMB 1981

In \(\bigtriangleup\)XYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, what is the length of XW?

A. 1.5cm
B. 2.5cm
C. 3cm
D. 4cm
E. None of the above

Question 57:

• JAMB 1981

Two cars X and Y start at the same point and travel towards a point P which is 150km away. If the average speed of Y is 60km per hour and x arrives at P 25 minutes earlier than Y. What is the average speed of X?

A. 51\(\frac{3}{7}\)km per hour
B. 72km per hour
C. 37\(\frac{1}{2}\) km per hour
D. 66km per hour
E. 75km per hour

Question 58:

• JAMB 1981

The difference between the length and width of a rectangle is 6cm and the area is 135cm2. What is the length?

A. 25cm
B. 18cm
C. 15cm
D. 24cm
E. 27cm

Question 59:

• JAMB 1981

The area of a circular plate is one-sixteenth the surface area of a ball of a ball, If the area of the plate is given as P cm², then the radius of the ball is

A. \(\frac{2P}{\pi}\)
B. \(\frac{P}{\sqrt{\pi}}\)
C. \(\frac{P}{\sqrt{2\pi}}\)
D. 2\(\frac{P}{\pi}\)

Question 60:

• JAMB 1981

What is the size of an exterior angle of a regular pentagon?

A. 36^o
B. 60^o
C. 72^o
D. 120^o
E. 360^o