UNIPORT Mathematics 2008/2009 Past Questions

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

Solve the simultaneous linear equation 2x + 5y = 11; 7x + 4y = 2

A.x = -8, y = 1
B.x = -2, y = 4
C.x = 2, y = -3
D.x = -³⁴/₂₇, y = ⁷³/₂₆
E.x = ³⁴⁵/₁₈₉, y = -⁷³/₂₇

Solve the system of equation 2^x+y = 32;3^y-x = 27

A.(3, 2)
B.(-3, 2)
C.(3, -2)
D.(-3, -2)
E.(2, 2)

Solve the equation for all positive values of θ less than 360°, 3tanθ + 2 =-1

A.tan 270° or tan 90°
B.45° or 135°
C.315° or 45°
D.315° or 180°
E.360° 0r 315°

Determine the maximum value of y = 3x² - x³

A.0
B.2
C.4
D.6

The mean of the numbers 3, 6, 4, x and 7 is 5, Find the standard deviation

A.√2
B.√3
C.3
D.2

A straight line y = mx meets the curve y = x² - 12x + 40 in two distinct points if one of them is (5, 5), find the other

A.(5, 6)
B.(8, 8)
C.(8, 5)
D.(7, 7)
E.(7, 5)

If (x - 2) and (x + 1) are factors of the expression x³ + px² + qx + 1, what is the sum of p and q?

A.0
B.-3
C.5
D.-¹⁷/₃
E.-²/₃

The ratio of the length of two similar rectangular blocks is 2:3. If the volume of the larger block is 351cm³, then the volume of the other block is

A.234.00cm³
B.526.50cm³
C.166.00cm³
D.729.75cm³
E.1184.625cm³

At what real value of x do the curve whose equation are y + x² + 1 intersect

A.-2
B.2
C.-1
D.0
E.1

Find the area of a regular hexagon inscribed in a circle of radius 8cm

A.116√3cm²
B.96√3cm²
C.192√3cm²
D.16cm²
E.323cm²