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.

1,926.

A variable y is inversely proportional to x2, when y = 10, x = 2. What is y when x = 10?

A.

2

B.

4

C.

100

D.

0.4

E.

0.1

Correct answer is D

y \(\alpha\) \(\frac{1}{x^2}\)

y = \(\frac{k}{x^2}\)

k = x2y

= (2)2 x 10

= 40

y = \(\frac{40}{x^2}\)

= \(\frac{40}{(10)^2}\)

= \(\frac{40}{100}\)

= 0.4

1,927.

A side of a rhombus is 2cm in length. An angle of the rhombus is 60°. What is the length of the diagonal facing this angle?

A.

2cm

B.

8cm

C.

4cm

D.

2\(\sqrt{3}\)cm

E.

16cm

Correct answer is D

\(\frac{x}{2}\) = sin60° = cos30°

x = 2 sino

= 2 x \(\frac{\sqrt{3}}{2}\)

= \(\sqrt{3}\)

length of the diagonal = 2 x \(\sqrt{2}\)

= 2\(\sqrt{3}\)

1,928.

If the function y = 5x is graphed, what would be its intercept on the y-axis?

A.

5

B.

\(\frac{1}{5}\)

C.

1

D.

2

E.

zero

Correct answer is E

y = 5x, when x = 0

y = 0, when x = 1

y = 5

intercept on y axis is 0

1,930.

Simplify f\(\frac{1}{2}\)g2h\(\frac{1}{2}\) \(\div\) f\(\frac{5}{2}\)goh\(\frac{7}{3}\)

A.

(\(\frac{g}{fh}\))2

B.

f2g2h2

C.

\(\frac{5}{4}\)goh\(\frac{7}{9}\)

D.

\(\frac{g^2}{f^5h^7}\)

E.

\(\frac{1}{f^2h^2}\)

Correct answer is A

f\(\frac{1}{2}\)g2h\(\frac{1}{2}\) \(\div\) f\(\frac{5}{2}\)goh\(\frac{7}{3}\) = f\(\frac{1}{2}\) - \(\frac{5}{2}\) g2 - 0 h\(\frac{1}{2}\) - \(\frac{7}{3}\)

f-2 g2 h-2

= \(\frac{g^2}{f^2h^2}\)

= (\(\frac{g}{fh}\))2