UNILAG Mathematics 2011/2012 Past Questions

Practice each question, then open it to see the full details.

If x -1 and x + 1 are both factors of the equation x³ + px² + qx + 6 = 0, Evaluate p and q

A.-6, -1
B.6, 1
C.1, -1
D.6, -6

Find a positive value of p if the expression 2x² - px + p leaves a remainder 6 when divided by x - p

A.1
B.2
C.3
D.4

Find T in term of K, Q and S if S = $$2r\sqrt{\pi(QT+K)}$$

A.^S²/_2πr²Q - ^K/_Q
B.^S²/_4πr²Q - ^K/_Q
C.^S²/_2πr²Q - K
D.^S²/_2πr²Q - K

The graph of f(x) = x² - 5x + 6 crosses the x-axis at the points.

A.( -6,0), (-1,0)
B.(-3,0), (-2,0)
C.( -6,0),(1,0)
D.(2,0),(3,0)

Factorize completely the expression abx² + 6y- 3ax- 2byx

A.(ax-2y)(bx-3)
B.(bx+3)(2y-ax)
C.(bx+3)(ax.2y)
D.(ax-2y)(ax-b)

Solve the following inequality (x-3)(x-4) ≤ 0

A.3≤x≤4
B.3<x<4
C.3≤x<4
D.3<x≤4

The 4th term of an A.P is 13 while the 10th terms 31. Find the 21st term.

A.175
B.85
C.64
D.45

Simplify $$\frac{x^2-1}{x^3-2x^2-x-2}$$

A.¹/_{(x + 1)}
B.^{(x - 1)}/_{(x + 1)}
C.^{(x - 1)}/_{(x + 2)}
D.¹/ _{(x + 2)}

Express $$\frac{5x-12}{{(x-2)(x-3)}}$$ in partial fractions

A.²/_{x - 2} - ³/_{x - 3}
B.²/_{x - 2} + ³/_{x - 3}
C.²/_{x - 3} - ³/_{x - 2}
D.⁵/_{x - 3} - ⁴/_{x - 2}
E.²/_{x - 2} + 3/_{{x - 3}}

Which of the following binary operations is commutative in the set of integers?

A.a*b = a - 2b
B.a*b = a + b - ab
C.a*a = a^z + b
D.a*b = a(b + 1)/2