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.

2,786.

The locus of a point which moves in a plane such that it is equidistant from two fixed points X and Y is

A.

the perpendicular bisector of the line segment X Y

B.

a line parallel to the line segment XY

C.

a circle with XY as diameter

D.

the line perpendicular to the line segment XY

Correct answer is A

No explanation has been provided for this answer.

2,787.

Which of the following quadratic equations has \(-\frac{1}{2}\) and \(\frac{3}{4}\) as its roots?

A.

8x2 + 11x - 3 = 0

B.

8x2 -11x – 3 = 0

C.

8x2 + 2x -3 = 0

D.

8x2 - 2x – 3 = 0

Correct answer is D

X2 - (sum of the roots)x + (product of the roots) = 0
Sum of the roots \(= -\frac{1}{2}+\frac{3}{4} = \frac{-2+3}{2}=\frac{1}{4}\)
Product of the roots = \(-\frac{1}{2}\times \frac{3}{4}=\frac{-3}{8}\\
X^2-\left(\frac{1}{4}\right)x-\frac{3}{8} = 0. Taking \hspace{1mm}the\hspace{1mm} common\)
\(8x^2-2x-3=0\);

2,788.

The values of x when y = 3 are approximately

A.

-4.7 and 1.4

B.

-4.6 and 1.5

C.

-3.6 and 0.4

D.

-3.6 and 1.5

Correct answer is B

No explanation has been provided for this answer.

2,789.

Use the graph to answer the Question below
What are the roots of the equation x2 + 3x - 4 = 0?

A.

1, 4

B.

-1, -4

C.

-1, 4

D.

-4, 1

Correct answer is D

x2 + 3x – 4 = 0 has roots value at the curve makes touches with the x – axis. The curve contact is at x = -4 and +1.

2,790.

The diagram is a circle centre O. Find the value of x

A.

30o

B.

50o

C.

61o

D.

78o

E.

65.5\(^{\circ}\)

Correct answer is E

∠PQR (Reflex) = 360° – 68° = 292°
∠PQR = 2∠PQR
292° = 4x + 30°
4x = 292 – 30 = 262
\(x = \frac{262}{4}=65.5°\)