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.

1,911.

A stone Q is tied to a point P vertically above Q by an inelastic string of length 2 meters. How high does the stone rise when the string is inclined at an angle 60o to the vertical?

A.

It does not rise

B.

2\(\sqrt{3}\) meters

C.

3 meters

D.

1 meter

E.

3

Correct answer is D

Cos 60o = \(\frac{PD}{2}\)

Cos 60o x 2 = 0.5 x 2

= 1m

1,912.

Find the values of x for which the expression \(\frac{(x - 3)(x - 2)}{x^2 + x - 2}\)

A.

1, -2

B.

-1, 2

C.

2, 3

D.

-1. -2

E.

-2, -3

Correct answer is A

to find the values of x for which the expression is underlined, let x2 + x - 2 = 0

By factorizing, we have (x + 2)(x - 1) = 0

when x + 2 = 0, when x - 1 = 0, x = -2 or x = 1

The two values are -2 and 1

1,913.

Express 37.05 x 0.0042 in standard form

A.

15.561 x 102

B.

1.5561 x 10-4

C.

1.556 x 10-1

D.

1.5561 x 101

E.

1.55 x 101

Correct answer is C

37.05 x 0.0042 in standard form

\(\begin{array}{c|c}No. & log \\\hline 37.05 & 1.5688\\ 0.0042 & 3.6232 \\ \hline & 1.1920\end{array}\)

= 0.1556

= 1.556 x 10-1

1,914.

Solve for x, If \(\frac{\frac{2}{x}}{\frac{1}{p^2} + \frac{1}{p^2}}\) = m

A.

\(\frac{4pq}{m(p + q)}\)

B.

\(\frac{2p^2q^2}{m(q^2 + p^2)}\)

C.

\(\frac{2pq}{m(q^2 + p^2)}\)

D.

\(\frac{2p^2q^2}{m(p^2)}\)

Correct answer is B

\(\frac{1}{p^2}\) + \(\frac{1}{q^2}\) = \(\frac{q^2 + p^2}{p^2 + q^2}\)

\(\frac{\frac{2}{x}}{\frac{p^2 + q^2}{p^2 q^2}}\)

m = \(\frac{2p^2q^2}{x(p^2 + q^2)}\)

= m2p2q2 = m x (p2 + q2)

x = \(\frac{2p^2q^2}{m(q^2 + p^2)}\)

1,915.

The currency used in a country is called 'Matimalik'(M) and is of base seven. A lady in that country bought 4 bags of rice at M56 per bag and and 3 tins of milk at M4 per tin. What is the total cost of the item she bought?

A.

M2467

B.

M2427

C.

M2367

D.

M3417

E.

M3387

Correct answer is D

4 bags of rice - M 56 each

3 tins of milk - M 4 each

\(M 56 \times 4 = M 323\)

\(M 4 \times 3 = M 15\)

\(M (323 + 15) = M 341\)