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.

2,051.

If the hypotenuse of right angled isosceles triangle is 2, what is the length of each of the other sides?

A.

\(\sqrt{2}\)

B.

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

C.

22

D.

1

E.

2 - 1

Correct answer is A

45o = \(\frac{x}{2}\), Since 45o = \(\frac{1}{\sqrt{2}}\)

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

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

= \(\sqrt{2}\)

2,052.

The number of goals scored by a football team in 20 matches is shown below
\(\begin{array}{c|c} \text{No. of goals} & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline \text{No. of matches} & 3 & 5 & 7 & 3 & 1 & 0 \end{array}\)
What are the values of the mean and the mode respectively?

A.

(1.75, 5)

B.

(1.75, 2)

C.

(1.75, 1)

D.

(65, 74)

Correct answer is B

\(\begin{array}{c|c}x & f & fx\\ \hline 0 & 3 & 0\\ 1 & 5 & 5\\ 2 & 7 & 14\\ 3 & 4 & 12\\4 & 1 & 4\\5 & 0 & 0\end{array}\)
\(\sum{f}\) = 20

\(\sum fx\) = 35

Mean = \(\frac{\sum fx}{\sum f}\)

= \(\frac{35}{20}\)

= \(\frac{7}{4}\)

= 1.75

Mode = 2

= 1.75, 2

2,054.

In \(\bigtriangleup\) XYZ, XY = 13cm, YZ = 9cm, XZ = 11cm and XYZ = \(\theta\). Find cos\(\theta\)o

A.

\(\frac{4}{39}\)

B.

\(\frac{43}{39}\)

C.

\(\frac{209}{3}\)

D.

\(\frac{43}{78}\)

Correct answer is D

cos\(\theta\) = \(\frac{13^2 + 9^2 - 11^2}{2(13)(9)}\)

= \(\frac{169 + 81 - 21}{26 \times 9}\)

cos\(\theta\) = \(\frac{129}{26 \times 9}\)

= \(\frac{43}{78}\)

2,055.

If f(x - 2) = 4x2 + x + 7, find f(1)

A.

12

B.

27

C.

7

D.

46

E.

17

Correct answer is D

f(x - 2) = 4x2 + x + 7

x - 2 = 1, x = 3

f(x - 2) = f(1)

= 4(3)2 + 3 + 7

= 36 + 10

= 46