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.

1,311.

The length of a piece of stick is 1.75m. A girl measured it as 1.80m. Find the percentage error

A.

\(\frac{28}{7}\)%

B.

\(\frac{29}{7}\)%

C.

5%

D.

\(\frac{20}{7}\)%

Correct answer is D

Error = 1.80m - 1.75m = 0.05m

%error = \(\frac{\text{error}}{\text{true measurement}}\) x 100%

1,312.

The perimeter of a sector of a circle of radius 4cm is (\(\pi + 8\))cm. Calculate the anle of the sector

A.

45o

B.

60o

C.

75o

D.

90o

Correct answer is A

Perimeter of sector = 2r + \(\frac{\theta}{360^o} \times 2\pi r\)

\(\pi + 8 = 2 \times 4 + \frac{\theta}{3360^o} \times 2 \pi \times 4\)

\(\pi + 8 + \frac{\theta}{360^o} \times 8 \pi\)

P + 8 - 8 = \(\frac{\theta \pi}{456o}\)

\(\pi = \frac{\theta \pi}{45^o}\)

\(\theta \pi = 45^o\)

1,313.

Which of these angles can be constructed using ruler and a pair of compasses only?

A.

115o

B.

125o

C.

135o

D.

145o

Correct answer is C

No explanation has been provided for this answer.

1,314.

Simplify \(\frac{\log \sqrt{27}}{\log \sqrt{81}}\)

A.

3

B.

2

C.

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

D.

\(\frac{3}{4}\)

Correct answer is D

\(\frac{\log \sqrt{27}}{\log \sqrt{81}}\) = \(\frac{\log 27\frac{1}{2}}{81\frac{1}{2}}\)

= \(\frac{\log 3\frac{1}{2}}{\log 3^2}\)

\(\frac{\frac{3}{2} \log 3}{2 \log 3} = \frac{3}{2} \div \frac{2}{1}\)

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

= \(\frac{3}{4}\)

1,315.

From the equation whose roots are x = \(\frac{1}{2}\) and -\(\frac{2}{3}\)

A.

6x2 - x + 2 = 0

B.

6x2 - x - 2 = 0

C.

6x2 + x + 2 = 0

D.

6x2 + x - 2 = 0

Correct answer is D

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

expand (x - \(\frac{1}{2}\))(x + \(\frac{2}{3}\)) = 0

x(x + \(\frac{2}{3}\)) - \(\frac{1}{2}(x + \frac{2}{3}\)) = 0

x2 + \(\frac{4x - 3x}{6} - \frac{2}{6} = 0\)

\(x^2 + \frac{x}{6} - 2 = 0\)

6x2 + x - 2 = 0