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.

1,116.

Simplify \( [1 ÷ (x^2 + 3x + 2)] + [1 ÷ (x^2 + 5x + 6)] \)

A.

\( \frac{2}{(x + 1)^2} \)

B.

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

C.

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

D.

\( \frac{2}{(x + 1)(x + 3} \)

Correct answer is D

\( [1 ÷ (x^2 + 3x + 2)] + [1 ÷ (x^2 + 5x + 6)] \)

= \( 1 ÷ (x^2 + 3x + 2) + [1 ÷ (x^2 +5x + 6)]\)

= \( [1 ÷ ((x^2 + x) + (2x + 2) )] + [1 ÷ ((x^2 + 3x) + (2x + 6) )] \)

= [1 ÷ (x(x + 2) + 2(x +1))] + [1 ÷ (x(x + 3) +2(x + 3) )]

= [1 ÷ (x + 1)(x + 2)] + [1 ÷ ((x + 3) + (x + 2))]

=((x + 3) + (x + 1)) ÷ (x + 1)(x + 2)(x + 3)

Using the L.C.M

=((x + x + 3 + 1)) ÷ (x + 1)(x + 2)(x + 3)

=(2x+4)/(x+1)(x+2)(x+3) =2(x+2)/(x+1)(x+2)(x+3)

= \( \frac{2 }{(x + 1)(x + 3)} \)

1,117.

Simplify (0.09)2 and give your answer correct to 4 significant figures

A.

0.81

B.

0.081

C.

0.0081

D.

8.0001

Correct answer is C

(0.09)2 = 0.09 × 0.09

= 0.0081

= 0.008100 to 4 significant figures

Please, start counting first from the non-zero digits i.e. 8

1,118.

Find the simple interest on N325 in 5years at 3% per annum.

A.

N48.75K

B.

N50.10K

C.

N75.50K

D.

N15.75K

Correct answer is A

I =[ PRT ÷ 100]

[(325 × 5 × 3) ÷ (100)]

N(195 ÷ 4)

N48.75K

1,119.

If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point

A.

2, ½

B.

½ , 2

C.

1, ½

D.

0, 2

Correct answer is B

The coordinate of the midpoint is \((\frac{-3 + 4}{2}, \frac{5 + (-1)}{2})\)

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

1,120.

Factorize \( x^2 − 2x − 15 \)

A.

(x + 3)2

B.

(x + 5)(x − 3)

C.

(x − 5)2

D.

(x − 5)(x + 3)

Correct answer is D

x2 − 2x − 15

(x2 − 5x) + (3x − 15)

x(x − 5)+ 3(x − 5)

(x − 5)(x + 3)