ALGEBRA - Jamb Mathematics Past Questions and Answers

Question 1:

• JAMB 1979

x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6?

A. \(\frac{5}{6}\)
B. 11
C. 3\(\frac{3}{5}\)
D. 2\(\frac{1}{2}\)
E. 1\(\frac{1}{5}\)

Question 2:

• JAMB 1979

The solution of the equation x² - 2x = 8 is

A. X = 0 or 2
B. X = -2 or 4
C. X = 2
D. X = -4
E. X = 2 or 4

Question 3:

• JAMB 2019

Make q the subject of the formula in the equation \(\frac{mn}{a^2} - \frac{pq}{b^2} = 1\)

A. \(q = \frac{b^2(mn - a^2)}{a^2 p}\)
B. \(q = \frac{m^2 n - a^2}{p^2}\)
C. \(q = \frac{mn - 2b^2}{a^2}\)
D. \(q = \frac{b^2 (n^2 - ma^2)}{n}\)

Question 4:

• JAMB 2019

A binary operation \(\otimes\) is defined by \(m \otimes n = mn + m - n\) on the set of real numbers, for all m, n \(\in\) R. Find the value of 3 \(\otimes\) (2 \(\otimes\) 4).

A. 6
B. 25
C. 15
D. 18

Question 5:

• JAMB 2019

Given matrix M = \(\begin{vmatrix} -2 & 0 & 4 \\ 0 & -1 & 6 \\ 5 & 6 & 3 \end{vmatrix}\), find \(M^{T} + 2M\)

A. \(\begin{vmatrix} -4 & 2 & 1\\ 6 & 0 & 5 \\ 0 & 6 & 2 \end{vmatrix}\)
B. \(\begin{vmatrix} -6 & 0 & 13\\ 0 & -3 & 18 \\ 14 & 18 & 9 \end{vmatrix}\)
C. \(\begin{vmatrix} 5 & 2 & 6 \\ 0 & 1 & 1\\ 3 & 4 & -7 \end{vmatrix}\)
D. \(\begin{vmatrix} -4 & 0 & 8 \\ 0 & -2 & -16 \\ 10 & 12 & 6 \end{vmatrix}\)