Jamb Mathematics 1997 Past Questions and Answers

Question 21:

• JAMB 1997

If X \(\ast\) Y = X + Y - XY, find x when (x \(\ast\) 2) + (x \(\ast\) 3) = 68

A. 24
B. 22
C. -12
D. -21

Question 22:

• JAMB 1997

Determine x + y if \(\begin{pmatrix} 2 & -3 \\ -1 & 4 \end{pmatrix}\) \(\begin{pmatrix} x \\ y \end{pmatrix}\) = \(\begin{pmatrix}-1 \\ 8 \end{pmatrix}\)

A. 3
B. 4
C. 7
D. 12

Question 23:

• JAMB 1997

Find the non-zero positive value of x which satisfies the equation \(\begin{vmatrix} x & 1 & 0 \\ 1 & x & x \\ 0 & 1 & x\end{vmatrix}\) = 0

A. 2
B. 4
C. √3
D. √2
E. 1

Question 24:

• JAMB 1997

Each of the base angles of a isosceles triangle is 58° and the verticles of the triangle lie on a circle. Determine the angle which the base of the triangle subtends at the centre of the circle.

A. 128^o
B. 16^o
C. 64^o
D. 58^o

Question 25:

• JAMB 1997

A chord of a circle of a diameter 42cm subtends an angle of 60o at the centre of the circle. Find the length of the mirror arc

A. 22cm
B. 44cm
C. 110cm
D. 220cm