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.

861.

Find \(\frac{dy}{dx}\). If y = 3x3 + 2x2 + 3x + 1

A.

9x2 + 4x + 3

B.

9x2 - 4x - 3

C.

9x2 + 4x - 3

D.

9x2 - 4x + 3

Correct answer is A

y = 3x3 + 2x2 + 3x + 1
\(\frac{dy}{dx}\) = 9x2 + 4x + 3

862.

If a car travels 120km on 45 litres of petrol, how much petrol is needed for a journey of 600km?

A.

720 litres

B.

160 litres

C.

225 litres

D.

960 litres

Correct answer is C

120km \(\to\) 45litres
1km \(\to\) \(\frac{45}{120}\)litres
600km \(\to\) \(\frac{45}{120}\) x 600 = 225litres

863.

Simplify 1 - (\(\frac{1}{7}\) x 3 \(\frac{1}{2}\)) \(\div\) \(\frac{3}{4}\)

A.

2

B.

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

C.

1

D.

\(\frac{2}{3}\)

Correct answer is B

1 - (\(\frac{1}{7}\) x 3 \(\frac{1}{2}\)) \(\div\) \(\frac{3}{4}\)

1 - (\(\frac{1}{7}\) x \(\frac{7}{2}\)) x \(\frac{4}{3}\)

1 - \(\frac{1}{2}\) x \(\frac{4}{3}\)

1 - \(\frac{2}{3}\) = \(\frac{1}{3}\)

864.

The nth term of the sequence 3, 9, 27, 81.....is

A.

3 x 3n-2

B.

3 x 3n-1

C.

3 x 3n+2

D.

3 x 3n+1

Correct answer is B

3,9,27,81,.....
r = \(\frac{9}{8}\) = 3
Tn = arn-1

Tn = 3(3)n-1 = \(\frac{3(3^2)}{3}\)

865.

If y = 2x3 + 6x2 + 6x + 1, Find \(\frac{dy}{dx}\)

A.

6x2 + 12x + 1

B.

6x2 + 6x + 1

C.

6x2 + 6x + 6

D.

6x2 + 12x + 6

Correct answer is D

y = 2x3 + 6x2 + 6x + 1

\(\frac{dy}{dx}\) = 6x2 + 12x + 6