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.

1,546.

What must be added to x2 - 3x to make it a perfect square?

A.

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

B.

\(\frac{9}{2}\)

C.

6

D.

9

Correct answer is A

x2 - 3x + k(perfect square)

k = (-\(\frac{3}{2}\))2 ; k = \(\frac{9}{4}\)

1,547.

\(\begin{array}{c|c} x & 1 & 4 & p \\ \hline y & 0.5 & 1 & 2.5\end{array}\). The table below satisfies the relation y - k\(\sqrt{x}\), where k is a positive constant. Find the value of P,

A.

2

B.

4

C.

10

D.

25

Correct answer is D

From y = \(\frac{1}{2} \sqrt{x}\)

when y = 2.5 or \(\frac{5}{2}\), x = P

\(\frac{5}{2} \times \frac{1}{2} \sqrt{P}\)

\(\sqrt{P} = \frac{10}{2} = 5\)

P = 52

= 25

1,548.

\(\begin{array}{c|c} x & 1 & 4 & p \\ \hline y & 0.5 & 1 & 2.5\end{array}\). The table above satisfies the relation y = k\(\sqrt{x}\), where k is a positive constant. Find the value of K.

A.

0.5

B.

1

C.

1.5

D.

2

Correct answer is A

y = k\(\sqrt{x}\) when y = 1, x = 4

k = \(\frac{y}{\sqrt{x}}\)

= \(\frac{1}{\sqrt{4}}\)

= \(\frac{1}{2}\)

= 0.5

1,549.

The ratio of boys to girls in a class is 5:3. Find the probability of selecting at random, a girl from the class

A.

\(\frac{1}{8}\)

B.

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

C.

\(\frac{3}{8}\)

D.

\(\frac{3}{5}\)

Correct answer is C

ratio of boys to girls = 5:3

total = 5 + 3 = 8

Pr(girl) = \(\frac{3}{8}\)

1,550.

If tan y = 0.404, where y is acute, find cos 2y

A.

0.035

B.

0.719

C.

0.808

D.

0.927

Correct answer is B

tan y = 0.404; y = tan-1 0.0404(tables);y = 22o

cos 2y = cos 2(22o); cos 44o

= 0.719