Coordinate Geometry - Jamb Mathematics Past Questions and Answers

Question 31:

• 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 32:

• JAMB 1979

What is the greatest straight line distance between two vertices (corners) of a cube whose sides are 2239cm long?

A. \(\sqrt{2239cm}\)
B. \(\sqrt{2}\) x 2239cm
C. \(\frac{\sqrt{3}}{2}\) 2239cm
D. \(\sqrt{3}\) x 2239cm
E. 4478cm

Question 33:

• JAMB 1979

(Numbers indicate the lengths of the sides of the triangles) If the area of \(\bigtriangleup\) PQR is k2sq. units what is the area of the shades portion?

A. \(\frac{5}{9}\)k² sq. units
B. \(\frac{1}{3}\)k² sq. units
C. \(\frac{8}{9}\)k² sq. units
D. \(\frac{7}{9}\)k² sq. units
E. \(\frac{2}{3}\)k² sq. u

Question 34:

• JAMB 1980

The ratio of the areas of similar triangles is necessarily equal to

A. The ratio of the corresponding sides
B. The ratio of the squares of corresponding sides
C. The ratio of the corresponding heights of the triangles
D. Half the ratio of the corresponding heights of the triangles
E. The ratio of the corresponding bases to the heights of the triangles

Question 35:

• JAMB 1980

If PN is perpendicular to QR, find the value of tan x.

A. \(\frac{5}{9}\)
B. \(\frac{3}{5}\)
C. \(\frac{3}{4}\)
D. \(\frac{4}{3}\)
E. \(\frac{5}{3}\)