Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

2,741.

What is the equation of the curve?

A.

\(y=x^2+6x+4\)

B.

\(y=x^2-5x-4\)

C.

\(y=x^2-5x+4\)

D.

\(y=x^2+5x-4\)

Correct answer is C

The factor for the curve are (x-1)(x-4). The product off the curves gives \(=x^2-5x+4=y\)

2,742.

What are the roots of the equation?

A.

-1 and 1

B.

4 and 1

C.

1 and 4

D.

4 and 4

Correct answer is C

The two points of contact of the curve with the x-axis are x = 1 and x = 4. The roots of the equation are x = 1 and x = 4

2,743.

For what values of y is the expression \(\frac{6y-1}{y^2 - y-6}\)

A.

\(\frac{1}{6}, \frac{1}{4}\)

B.

3, -2

C.

-3, 2

D.

0,1

Correct answer is B

The expression is not defines when y2 - y - 6 = 0
=> y2 - 3y + 2y - 6 = 0 => (y-3)(y+2) = 0 => y
-3 = 0 or y + 2 = 0 => y = 3 or -2

2,744.

The total surface area of the walls of a room 7m long, 5m wide and xm high is 96m2. Find the value of x

A.

\(\frac{2}{3}\)

B.

2

C.

4

D.

8

Correct answer is B

T.S.A of the wall \(=2(7\times 5 + 7 \times x + 5 \times x) = 96\\
70 + 14x + 10x = 96 \Rightarrow 24x = 96-70=26\\
x = \frac{26}{24}=\frac{13}{12}\)

2,745.

Simplify: \(\frac{2}{3xy} - \frac{3}{4yz}\)

A.

\(\frac{2-x}{12xyz}\)

B.

\(\frac{2z-3x}{12xyz}\)

C.

\(\frac{4z-3x}{12xyz}\)

D.

\(\frac{8z-9x}{12xyz}\)

Correct answer is D

\(\frac{2}{3xy} - \frac{3}{4yz} = \frac{2(4)-3(3x)}{12xyz} = \frac{8z-9x}{12xyz}\)