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.

1,396.

Each of the interior angles of a regular polygon is 140o. Calculate the sum of all the interior angles of the polygon

A.

1080o

B.

1260o

C.

1800o

D.

2160o

Correct answer is B

Each interior angle = 140

\(\frac{(n - 2) \times 180}{n} = 140\)

(n - 2) x 180 = 140n

150 - 360 = 140n

180m - 140n = 360

40n - 360

n = \(\frac{360}{40}\)

n = 9

Sum of all interior angles = (n - 2) x 180

= (9 - 2) x 180

= 7 x 180

= 1260

1,397.

If c and k are the roots of 6 - x - x2 = 0, find c + k

A.

2

B.

1

C.

-1

D.

-3

Correct answer is C

6 - x - x2 = 0

a = -1; b = -1; c = 6

Sum of roots = c + k = -\(\frac{-b}{a}\)

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

= -1

1,398.

If a positive integer, list the values of x which satisfy the equation 3x - 4 < 6 and x - 1 > 0

A.

{1, 2, 3}

B.

{2, 3}

C.

{2, 3, 4}

D.

{2, 3, 4, 5}

Correct answer is B

3x - 4 < 6 = 3x < 6 = 4

3x < 10

x < \(\frac{10}{3}\)

x < 3.33 and x - 1 = 0

n > 1 = 1< x; since x is an integer, and 1 < x3.33

x = {2, 3}

1,399.

solve \(\frac{2x + 1}{6} - \frac{3x - 1}{4}\) = 0

A.

1

B.

\(\frac{1}{5}\)

C.

-\(\frac{1}{5}\)

D.

-1

Correct answer is A

\(\frac{2x + 1}{6} - \frac{3x - 1}{4}\) = 0

\(\frac{4(2n + 1) - 6(3x - 1)}{24}\) = 0

-10x + 10 = 0

-10x = -10

x = \(\frac{-10}{-10}\)

x = 1

1,400.

An arc of a circle subtends an angle of 60o at the centre. If the radius of the circle is 3cm, find , in terms of \(\pi\), the length of the arc

A.

\(\pi\)cm

B.

2\(\pi\)cm

C.

3\(\pi\)cm

D.

6\(\pi\)cm

Correct answer is A

Length of arc = \(\frac{\theta}{360} \times 2\pi r\)

= \(\frac{60}{360} \times 2\pi \times 3cm\)

= \(\pi\)cm