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.

1,351.

How many times, correct to the nearest whole number, will a man run round circular track of diameter 100m to cover a distance of 1000m?

A.

3

B.

4

C.

5

D.

6

Correct answer is A

No. of times = \(\frac{\text{Total distance}}{\text{Circumference of circle}}\)

= \(\frac{\text{Total distance}}{\pi d}\)

= \(\frac{1000m}{\frac{22}{7} \times 100m}\)

= \(\frac{1000 \times 7}{2200} = 3.187\)

= 3(approx.) nearest whole no.

1,352.

The nth term of the sequence -2, 4, -8, 16.... is given by

A.

Tn = 2n

B.

Tn = (-2)n

C.

Tn = (-2n)

D.

Tn = n

Correct answer is B

sequence: -2, 4, -8, 16........{GP}

a = -2; r = \(\frac{4}{-2}\) = -2

nth term Tn = arn-1

Tn = (-2)(-2)^n-1

Tn = (-2)1 + n - 1

Tn = (-2)n

1,353.

If y = \(\frac{(2\sqrt{x^2 + m})}{3N}\), make x the subject of the formular

A.

\(\frac{\sqrt{9y^2 N^2 - 2m}}{3}\)

B.

\(\frac{\sqrt{9y^2 N^2 - 4m}}{2}\)

C.

\(\frac{\sqrt{9y^2 N^2 - 3m}}{2}\)

D.

\(\frac{\sqrt{9y^2 N - 3m}}{2}\)

Correct answer is B

y = \(\frac{(2\sqrt{x^2 + m})}{3N}\)

3yN = 2(\(\sqrt{x^2 + m})\)

\(\frac{3yN}{2} = \sqrt{x^2 + m}\)

(\(\frac{3yN}{2})^2 = ( \sqrt{x^2 + m})\)

\(\sqrt{\frac{9y^2N^2}{4} - \frac{m}{1}}\)

x = \(\frac{\sqrt{9Y^2N^2 - 4m}}{4}\)

x = \(\frac{\sqrt{9y^2N^2 - 4m}}{2}\)

1,354.

The sum of the exterior of an n-sided convex polygon is half the sum of its interior angle. find n

A.

6

B.

8

C.

9

D.

12

Correct answer is A

sum of exterior angles = 360o

Sum of interior angle = (n - 2) x 180

360 = \(\frac{1}{2}\) x(n - 2) x 180(90o)

360 = \(\frac{1}{2}\) x(n - 2) x 90o

\(\frac{360}{90}\) = a - 2

4 = n - 2

n = 4 + 2 = 6

1,355.

Simplify \(\frac{2}{2 + x} + \frac{2}{2 - x}\)

A.

\(\frac{4}{4 - x^3}\)

B.

\(\frac{8}{4 - x^2}\)

C.

\(\frac{4x}{4 - x^2}\)

D.

\(\frac{8 - 4x}{4 - x^2}\)

Correct answer is B

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

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

= \(\frac{8}{4 - x^2}\)