UNICAL Mathematics 2021/2022 Past Questions

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

Given: U {Even numbers between 0 and 30}
P= {Multiples of 6 between 0 and30}
Q = {Multiples of 4 between 0 and 30}
Find(PuQ)';

A.{2,10,14,22,26}
B.{0,10, 14,22,26)
C.{2, 4, -4, 1 8, 26}
D.{0,2,6,22, 26)

The length a person can jump is inversely proportional to his weight. If a 20kg person can jump 1.5m, find the constant of proportionality.

A.60
B.30
C.20
D.15

Find the values of x and y respectively if 3x - 5y + 5 = 0 and 4x - 7y + 8 = 0

A.0,4
B.-4,-5
C.4,5
D.0.5,4

Divide 6x²-13x + 5 by 2x-1

A.3x+5
B.3x-5
C.5x-3
D.5x+3

A polynomial in x whose zeros are -2,-I and 3 is

A.x³-7x+6
B.x³+7x-6
C.x³+7x+6
D.x³-7x-6

Rationalize $$\frac{5√7 - 7√5}{√7 - √5}$$

A.-2½√35
B.√7 - 6√5
C.-√35
D.√35

Simplify $$1 + \frac2{3 - \frac4{5 + \frac67}}$$

A.3/10
B.233/151
C.7/96
D.177/95

If 263 + 441 = 714, what number base has been used?

A.9
B.10
C.8
D.11

P sold his bicycle to Q at a profit of 10%. Q sold it to R for N209 at a loss of 5%. How much did the bicycle cost P?

A.N96
B.N200
C.N180
D.N205

The smaller value of y for which (y-1)² = 4y - 7 is

A.4
B.6
C.2
D.8

Factorize x² + 2a + ax + 2x

A.(x+a)(x+2a)
B.(x+2)(x+a)
C.(x+2a)(x+1)
D.(a² - x)(x-a)

Simplify $$\frac1{5x+5} + \frac1{7x+1}$$

A.12x / (35x + 7)
B.1 / [35(x+1)]
C.12x / (359x + 1)
D.12 / (35x + 35)

A number of pencils were shared out amongst Chukwuemerie, Somtochukwu and Iheanyichukwu in the ratio of 2:3:5 respectively. If chukwuemerie got 5, how many were shared?

A.15
B.25
C.30
D.50