Jamb Mathematics 1982 Past Questions and Answers

Question 1:

• JAMB 1982

Rationalize the expression \(\frac{1}{\sqrt{2} + \sqrt{5}}\)

A. \(\frac{1}{3}\)(\(\sqrt{5} - \sqrt{2}\)
B. \(\frac{\sqrt{2}}{3}\) + \(\frac{\sqrt{5}}{5}\)
C. \(\sqrt{2} - \sqrt{5}\)
D. 5(\(\sqrt{2} - \sqrt{5}\)
E. \(\frac{1}{3}\)(\(\sqrt{2} - \sqrt{5}\)

Question 2:

• JAMB 1982

Rationalize the expression \(\frac{1}{\sqrt{2} + \sqrt{5}}\)

A. \(\frac{1}{3}\)(\(\sqrt{5} - \sqrt{2}\)
B. \(\frac{\sqrt{2}}{3}\) + \(\frac{\sqrt{5}}{5}\)
C. \(\sqrt{2} - \sqrt{5}\)
D. 5(\(\sqrt{2} - \sqrt{5}\)
E. \(\frac{1}{3}\)(\(\sqrt{2} - \sqrt{5}\)

Question 3:

• JAMB 1982

Simplify 3 - 2 \(\div\) \(\frac{4}{5}\) + \(\frac{1}{2}\)

A. 1\(\frac{3}{4}\)
B. -1
C. 1\(\frac{3}{10}\)
D. 1
E. 1\(\frac{9}{10}\)

Question 4:

• JAMB 1982

If N560.70 is shared in the ratio 7 : 2 : 1, what is the smallest share?

A. N392.49
B. N56.70
C. N113.40
D. N112.14
E. N56.07

Question 5:

• JAMB 1982

Seven years ago, the age of a father was three times that of his son, but in six years time the age of the son will be half that of his father, representing the present ages of the father and son by x and y, respectively, the two equations relating x and y are

A. 3y - x = 0; 2y - x = 0
B. 3y - x = 14; x - 2y = 6
C. 3y - x =7; x - 2y = 6
D. 3y - x = 14; y - 2x = 6
E. X + 3y = 7; x = 2y = 12