UNIPORT Mathematics 2017/2018 Model 3 Past Questions

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

Solve for x and y in the equations below: x³ - y³ = 4, x + y = 2

A.x = 0, y = -2
B.x = 0, y = 2
C.x = 2, y = 0
D.x = -2, y = 0

Simplify ${{√5(√{147} - √{12})}/{√{15}}}$

A.5
B.1/5
C.1/9
D.9

The fifth term of an A.P. is 24 and the eleventh term is 96. Find the first term.

A.12
B.4
C.-12
D.-24

Simplify 0.000215 × 0.000028 and express your answer in standard form.

A.6.03 × 10⁹
B.6.02 × 10⁹
C.6.03 × 10⁹
D.6.02 × 10^-9

A bag contains 5 black, 4 white and x red marbles. If the probability of picking a red marble is ${2/3}$, find the value of x

A.10
B.8
C.6
D.4

Convert 2232₄ to a number in base six

A.254₆
B.450₆
C.540₆
D.553₆

If ${{dy}/{dx} = x + cos x}$, find y

A.x² + sin x + c
B.x²/2 + sin x + c
C.x² - sin x + c
D.x²/2 - sinx + c

Find the value of x for which the function f(x) = 2x³ - x² - 4x + 4 has a minimum value .

A.2/3
B.1
C.-1
D.-2/3

The volume of a pyramid with the height 15cm is 90cm². If its base is a rectangle with dimensions xcm by 6cm, find the value of x.

A.3
B.5
C.6
D.8

The diagonal of a square is 60cm. Calculate its perimeter.

A.20√2
B.40√2
C.90√2
D.120√2