UNIPORT Mathematics 2018/2019 Past Questions

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

The length of a rectangle is 9cm more than the width, if the perimeter of the rectangle is 30cm, find the length of the rectangle.

A.21cm
B.12cm
C.9cm
D.3cm
E.15cm

find the values of x for which $2^{2x+4} - 33 × 2^x + 4 = 0$

A.x = 2, x = -3
B.x = -2, x = 3
C.x = 4, x = 1/8
D.x = 2, x = 3

Convert 448₆ to denary

A.476₁₀
B.764₁₀
C.176₁₀
D.112₁₀

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

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

A rope of length 11cm is folded to form a sector, correct to the nearest degree.

A.33
B.40
C.90
D.180
E.66°

In an election there were four candidates, 5/6 of the electors voted for the winner. The runner-up received 4/7 of the remaining votes. The third candidates received twice the votes of the fourth candidates. if the winner received 3021 cotes more than the runner-up, how many electors voted?

A.126,882
B.63,441
C.18,126
D.35,245
E.4093 votes

If ${^nP_3}/{^nC_2}$ = 6 find the value of n

A.6
B.3
C.5
D.1

Find x if (X_base2)² = 100100_base2

A.6
B.100
C.12
D.110

A bag contains 4 white balls and 6 red balls. Two balls are taken from the bag without replacement. What is the probability that they are both red?

A.1/3
B.2/9
C.2/15
D.1/5
E.3/5

A triangle has angles 30°, 15° and 135°, the side opposite to the angle 30° is length 6cm. The side opposite to the angle 135° is equal to

A.12cm
B.6cm
C.6√2cm
D.12√2cm
E.6√3cm