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.

1,826.

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

A.

x-a2

B.

xb2

C.

xa2 - b2

D.

\(\frac{1}{x^{a2 + b2}}\)

E.

xb2 - a2

Correct answer is D

(\(\frac{x^a}{x^b}\))a + b = (\(\frac{x^{a2 + ab}}{x^{b2 + ab}}\))

= xa2 - b2

{\(\frac{xa + b}{xa - b}\)} = xa + b - a + b

= x2b

= x2a

= xa2 - b2

= xb2 \(\div \) a2 = \(\frac{1}{x^\text a2 + b2}\)

1,827.

Find the product of (2\(\sqrt{y - 3y}\)) and (3y = 2y)

A.

4y = y2

B.

4y + 9y2

C.

4y - 9y2

D.

-4y - 9y2

E.

2y + y2

Correct answer is C

(2\(\sqrt{y - 3y}\))(3y = 2y)

= 6y y + 4y - 9y2 - 6y\(\sqrt{y}\)

= 4y - 9y2

1,828.

A pentagon has four of its angles equal. If the size of the fifth angle is 60o, Find the size of each of the four equal angles.

A.

60o

B.

108o

C.

120o

D.

150o

E.

None of the above

Correct answer is C

The sum of interior angle of pentagon

(5 sides) = (2n - 4) x 90o

n = 5

(2 x 5 - 4) x 90o = 6 x 90o

= 540o

540o - 60o = 480o \(\div\) 4

= 120o

1,829.

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

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