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.

2,831.

In the diagram /PS/ = 9 cm, /OR/ = 5cm, \(P\hat{S}R = 63^o\) and \(S\hat{P}Q = P\hat{Q}R = 90^o\). Find, correct to the nearest whole number, the area of the trapezium,

A.

55cm2

B.

25cm2

C.

22cm2

D.

13cm2

Correct answer is A

Considering the triangle in the diagram
\(tan\theta = \frac{opp}{hyp}\\
Tan 63^{\circ} = \frac{h}{4}\\
h = 4 tan 63^{\circ}\\
Area of trapezium = \frac{1}{2}h(a+b)\\
\left(\frac{1}{2} \times 4 tan 63^{\circ}[5+9]\right)\\
=28\times 1.963 = 54.96 = 55cm^2\)

2,833.

Evaluate Cos 45o Cos 30o - Sin 45o Sin 30o leaving the answer in surd form

A.

\(\frac{\sqrt{2}-1}{2}\)

B.

\(\frac{\sqrt{3}-\sqrt{2}}{4}\)

C.

\(\frac{\sqrt{6}-\sqrt{2}}{2}\)

D.

\(\frac{\sqrt{6}-\sqrt{2}}{4}\)

Correct answer is D

\(cos45^o \times cos30^o - sin45^o \times sin30^o\\
\frac{1}{\sqrt{2}}\times \frac{\sqrt{3}}{2} - \frac{1}{\sqrt{2}}\times \frac{1}{2}\\
\frac{\sqrt{3}}{2\sqrt{2}}-\frac{1}{2\sqrt{2}}; = \frac{\sqrt{3}-1}{2\sqrt{2}}=\frac{\sqrt{6}-\sqrt{2}}{4}\)

2,834.

Find the equation whose roots are \(-\frac{2}{3}\) and 3

A.

3x2+11x-6=0

B.

3x2+7x+6=0

C.

3x2-11x-6=0

D.

3x2-7x-6=0

Correct answer is D

\(x = -\frac{2}{3} \implies x + \frac{2}{3} = 0\)

\(x = 3 \implies x - 3 = 0\)

\(\implies (x - 3)(x + \frac{2}{3}) = 0\)

\(x^2 - 3x + \frac{2}{3}x - 2 = 0\)

\(x^2 - \frac{7}{3}x - 2 = 0\)

\(3x^2 - 7x - 6 = 0\)

2,835.

The locus of points equidistant from two intersecting straight lines PQ and PR is

A.

a circle centre P radius Q.

B.

a circle centre P radius PR

C.

the point of intersection of the perpendicular bisectors of PQ and PR

D.

the bisector of angle QPR

Correct answer is C

No explanation has been provided for this answer.