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.

3,656.

Find the derivative of \(y=\frac{x^7 - x^5}{x^4}\)

A.

x(x2-1)

B.

3x(x2-1)

C.

3x2-1

D.

7x6-5x4

Correct answer is C

\(y=\frac{x^7 - x^5}{x^4}\\
y = \frac{x^7}{x^4} \div \frac{x^5}{x^4}\\
y = x^3 - x \\
\frac{dy}{dx} = 3x^2 - 1\)

3,657.

If sinθ = 3/5. Find Tanθ

A.

3/4

B.

3/5

C.

2/5

D.

1/4

Correct answer is A

No explanation has been provided for this answer.

3,658.

Find the gradient of a line which is perpendicular to the line with the equation 3x + 2y + 1 = 0

A.

3/2

B.

2/3

C.

-2/3

D.

-3/2

Correct answer is B

3X + 2Y + 1 = 0
2Y = -3X - 1
\(\frac{-3}{2}X - \frac{1}{2}\)
Gradient of 3X + 2Y +1 = 0 is -3/2
Gradient of a line perpendicular to 3X + 2Y + 1 = 0
\(=-1 \div \frac{3}{2}\\
=-1 \times \frac{-2}{3}=\frac{2}{3}\)

3,659.

The locus of a point equidistant from two points p(6,2) and R(4,2) is a perpendicular bisector of PR passing through?

A.

(2,5)

B.

(5,2)

C.

(1,0)

D.

(0,1)

Correct answer is B

No explanation has been provided for this answer.

3,660.

Find the capacity in liters of a cylindrical well of radius 1 meter and depth 14 meters
[π = 22/7]

A.

44,000 liters

B.

4,400 liters

C.

440 liters

D.

44 liters

Correct answer is A

V = πr2h
1m = 100cm
14cm = 1400cm
\(∴V = \frac{22}{7} \times \frac{100x100x1400}{1000}\\
= 44, 000 liters\)