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.

1,206.

Given that P = x2 + 4x - 2, Q = 2x - 1 and Q - p = 2, find x

A.

-2

B.

-1

C.

1

D.

2

Correct answer is B

P = x2 + 4x - 2, Q = 2x - 1

Q - p = 2, (2x - 1) - (x2 + 4x - 2) = 2

2x - 1 - x2 - 4x + 2 = 2

-2x - x2 + 1

-x2 - 2x - 1 = 0

x2 + 2x + 1 = 0

x2 + x + x + 1 = 0

x(x + 1) + 1(x + 1) = 0

(x + 1)(x + 1) = 0

x + 1 = 0 or x + 1 = 0

x = -1 or x = -1

x = -1

1,207.

An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?

A.

15

B.

12

C.

9

D.

6

Correct answer is B

Let the interior angle = xo

interior angle = 5xo (sum of int. angle ann exterior)

(angles = angle or straight line)

6x = 180

x = \(\frac{180}{6}\)

x = 30o

no. of sides = \(\frac{\text{sum of exterior angles}}{\text{exterior angle}}\)

= \(\frac{360}{30}\) = 12

1,208.

Express \(\frac{2}{x + 3} - \frac{1}{x - 2}\) as a simple fraction

A.

\(\frac{x - 7}{x^2 + x - 6}\)

B.

\(\frac{x - 1}{x^2 + x - 6}\)

C.

\(\frac{x - 2}{x^2 + x - 6}\)

D.

\(\frac{x - 27}{x^2 + x - 6}\)

Correct answer is A

\(\frac{2}{x + 3} - \frac{1}{x - 2}\) = \(\frac{2(x - 2) - (x - 3)}{(x + 3) (x - 2)}\)

= \(\frac{2x - 4 - x - 3}{x^2 - 2x + 3x - 6}\)

= \(\frac{x -7}{x^2 + x - 6}\)

= \(\frac{x - 7}{x^2 + x - 6}\)

1,209.

When a number is subtracted from 2, the result equals 4 less than one-fifth of the number. Find the number

A.

11

B.

\(\frac{15}{2}\)

C.

5

D.

\(\frac{5}{2}\)

Correct answer is C

Let the number be y, subtract y from 2 i.e 2 - y

2 - y = 4 < \(\frac{1}{5}\) y,

2 - y = \(\frac{y}{5}\) - 4

2 - y + 4 = \(\frac{y}{5}\)

6 =  \(\frac{y}{5}\) + y

6 =  \(\frac{y + 5y}{5}\)

6 =  \(\frac{6y}{5}\) 

multiplying through by 5
6 * 5 = 6y

\(\frac{30}{6}\) = y

= 5

1,210.

What is the locus of the point X which moves relative to two fixed points P and M on a plane such that < PXM = 30o

A.

the bisector of the straight line joining P and M

B.

an arc of a circle with PM as a chord

C.

the bisector of angle PXM

D.

a circle centre X and radius PM

Correct answer is B

No explanation has been provided for this answer.