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.

1,941.

The quantity y is partly constant and partly varies inversely as the square of x. With P and Q as constants, a possible relationship between x and y is

A.

y = Q + \(\frac{P}{x^2}\)

B.

y = Q + px

C.

y = \(\frac{PQ}{x^2}\)

D.

y = Q - \(\frac{P}{x^2}\)

Correct answer is A

Given the above statement,

\(y = Q + \frac{P}{x^{2}}\)

1,942.

Express 130 kilometers per second in meters per hour

A.

7.8 x 10-5

B.

4.68 x 106

C.

7,800,000

D.

4.68 x 108

E.

7.80 x 105

Correct answer is D

1km = 1000m

60sec. = 1 mins

60 mins. = 1 hr

130000m per sec = 130000 x 3600

= 468000000m/hr

= 468 x 108 m/hr

1,943.

A stone Q is tied to a point P vertically above Q by an inelastic string of length 2 meters. How high does the stone rise when the string is inclined at an angle 60o to the vertical?

A.

It does not rise

B.

2\(\sqrt{3}\) meters

C.

3 meters

D.

1 meter

E.

3

Correct answer is D

Cos 60o = \(\frac{PD}{2}\)

Cos 60o x 2 = 0.5 x 2

= 1m

1,944.

Find the values of x for which the expression \(\frac{(x - 3)(x - 2)}{x^2 + x - 2}\)

A.

1, -2

B.

-1, 2

C.

2, 3

D.

-1. -2

E.

-2, -3

Correct answer is A

to find the values of x for which the expression is underlined, let x2 + x - 2 = 0

By factorizing, we have (x + 2)(x - 1) = 0

when x + 2 = 0, when x - 1 = 0, x = -2 or x = 1

The two values are -2 and 1

1,945.

Express 37.05 x 0.0042 in standard form

A.

15.561 x 102

B.

1.5561 x 10-4

C.

1.556 x 10-1

D.

1.5561 x 101

E.

1.55 x 101

Correct answer is C

37.05 x 0.0042 in standard form

\(\begin{array}{c|c}No. & log \\\hline 37.05 & 1.5688\\ 0.0042 & 3.6232 \\ \hline & 1.1920\end{array}\)

= 0.1556

= 1.556 x 10-1