GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 131:

• JAMB 1979

A ladder resting on a vertical wall makes an angles whose tangent is 2.4 with the ground. If the distance between the foot of the ladder and the wall is 50cm, What is the length of the ladder?

A. 1m
B. 1.1m
C. 1.2m
D. 0.9m
E. 1.3m

Question 132:

• JAMB 1979

One of the following statements is wrong. Which is it?

A. If a triangle is equiangular then it is also equilateral
B. If a triangle is equilateral then it is also then it is also equiangular
C. If two triangles are similar then they are also congurent
D. The sum of the interior angles of any triangle is 180 degrees

Question 133:

• JAMB 1979

PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If < PQS = 15^o find < QRS

A. 75^o
B. 37\(\frac{1}{2}\)^o
C. 127\(\frac{1}{2}\)^o
D. 105^o

Question 134:

• JAMB 1979

On each market day Mrs. Bassey walks to the market from her home at a steady speed. This journey normally takes her 2 hours to complete. She finds, however, that by increasing her usual speed by 1 km/hr she can save 20 minutes. Find her usual speed in km/hr

A. 1\(\frac{2}{3}\)
B. 2
C. 5
D. 6
E. 10

Question 135:

• JAMB 1979

A cylinder of height h and radius r is open at one end. Its surface area is

A. 2\(\pi\)rh
B. \(\pi\)r²h
C. 2\(\pi\)rh + \(\pi\)r²
D. 2\(\pi\)rh + 2\(\pi\)r²