Jamb Mathematics 1997 Past Questions and Answers

Question 11:

• JAMB 1997

Solve the simultaneous equations \(\frac{2}{x} - {\frac{3}{y}}\) = 2, \(\frac{4}{x} + {\frac{3}{y}}\) = 10

A. X = \(\frac{3}{2}\), y = \(\frac{3}{2}\)
B. X = \(\frac{1}{2}\), y = \(\frac{3}{2}\)
C. X = \(\frac{-1}{2}\), y = \(\frac{-3}{2}\)
D. X = \(\frac{1}{2}\), y = \(\frac{3}{2}\)

Question 12:

• JAMB 1997

Find the minimum value of X² - 3x + 2 for all real values of x

A. -\(\frac{1}{4}\)
B. -\(\frac{1}{2}\)
C. \(\frac{1}{4}\)
D. \(\frac{1}{2}\)

Question 13:

• JAMB 1997

Make F the subject of the formula t = \(\sqrt{\frac{v}{\frac{1}{f} + \frac{1}{g}}}\)

A. \(\frac{gv-t^2}{gt^2}\)
B. \(\frac{gt^2}{gv-t^2}\)
C. \(\frac{v}{\frac{1}{t^2} - \frac{1}{g}}\)
D. \(\frac{gv}{t^2 - g}\)

Question 14:

• JAMB 1997

What value of g will make the expression 4x² - 18xy + g a perfect square?

A. 9
B. \(\frac{9y^2}{4}\)
C. \(81y^2\)
D. \(\frac{18y^2}{4}\)

Question 15:

• JAMB 1997

Find the value of k if \(\frac{5 + 2r}{(r + 1)(r - 2)}\) expressed in partial fraction is \(\frac{k}{r - 2}\) + \(\frac{L}{r + 1}\) where K and L are constants

A. 3
B. 2
C. 1
D. -1