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.

1,861.

In triangle FGB, < G = 90o, < H = 60o, while in triangle XYZ, < X = 60o and < Y = 30o. Form XYZ write down the ratio equal to \(\frac{FG}{FH}\)

A.

\(\frac{YX}{ZX}\)

B.

\(\frac{YX}{YZ}\)

C.

\(\frac{ZX}{YZ}\)

D.

\(\frac{YZ}{XY}\)

Correct answer is D

The two triangles are similar

\(\frac{FG}{YZ}\) = \(\frac{FH}{XY}\) = \(\frac{GH}{YZ}\) = \(\frac{FG}{FH}\) = \(\frac{YZ}{XZ}\)

1,864.

Three numbers, x, y and z are connected by the relationships y = \(\frac{4x}{9}\) + 1. If x = 99, Find z = \(\frac{4y}{9}\) + 1

A.

6\(\frac{1}{3}\)

B.

20

C.

21

D.

176\(\frac{4}{9}\)

E.

None of the above

Correct answer is C

y = \(\frac{4x}{9}\) + 1, z = \(\frac{4y}{9}\) + 1, z = \(\frac{4}{9}\)(\(\frac{4}{9}\) x + 1) + 1

= [\(\frac{4}{9}\)(\(\frac{4}{9}\)(99) + 1]

= \(\frac{4}{9}\)(45) + 1

= 21

1,865.

Which of the formula below represents the general terms of the following set of numbers(-1, \(\frac{2}{3}\), -\(\frac{1}{2}\), \(\frac{2}{5}\)......) for n = 1, 2, 3, 4.......?

A.

\(\frac{2}{n + 1}\)

B.

(-1)n + 1 \(\frac{2}{n + 1}\)

C.

(-1)n \(\frac{2}{n + 1}\)

D.

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

E.

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

Correct answer is C

(-1, \(\frac{2}{3}\), -\(\frac{1}{2}\), \(\frac{2}{5}\)......)

nthterm is (-1)n\(\frac{2}{n + 1}\)

Since (-1)n will always be negative for n = odd