Jamb Mathematics 1983 Past Questions and Answers

Question 6:

• JAMB 1983

Solve the following equations 4x - 3 = 3x + y = x - y = 3, 3x + y = 2y + 5x - 12

A. X = 5, y = 2
B. X = 2, y = 5
C. X = 5, y = -2
D. X = -2, y = -5
E. X = -5, y = -2

Question 7:

• JAMB 1983

In a figure, PQR = 60^o, PRS = 90^o, RPS = 45^o, QR = 8cm. Determine PS

A. 2\(\sqrt{3}\)cm
B. 4\(\sqrt{6}\)cm
C. 2\(\sqrt{6}\)cm
D. 8\(\sqrt{6}\)cm
E. 8cm

Question 8:

• JAMB 1983

Given that cos z = L , whrere z is an acute angle, find an expression for \(\frac{\cot z - \csc z}{\sec z + \tan z}\)

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

Question 9:

• JAMB 1983

If 0.0000152 x 0.042 = A x 10⁸, where 1 \(\leq\) A < 10, find A and B

A. A = 9, B = 6.38
B. A = 6.38, B = -9
C. A = -6.38, B = -9
D. A = -9, B = -6.38

Question 10:

• JAMB 1983

If (x + 2) and (x - 1) are factors of the expression \(Lx^{3} + 2kx^{2} + 24\), find the values of L and k.

A. 1 = -6, k = -9
B. 1 = -2, k = 1
C. K = -1, 1 = -2
D. 1 = 0, k = 1
E. K = 0,1 = 6