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.

1,406.

In an examination, Kofi scored x% in Physics, 50% in Chemistry and 70% in Biology. If his mean score for the three subjects was 55%, find x

A.

40

B.

45

C.

55

D.

60

Correct answer is B

\(\frac{x + 50 + 70}{3} = 55\)

x + 120 = 3(55)

x + 120 = 165

= 165 - 120

x = 45%

1,407.

Given that sin 60o = \(\frac{\sqrt{3}}{2}\) and cos 60o = \(\frac{1}{2}\), evaluate \(\frac{1 - sin 60^o}{1 + cos 60^o}\)

A.

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

B.

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

C.

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

D.

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

Correct answer is D

Sin 60 = \(\frac{\sqrt{3}}{2}\); cos 60o = \(\frac{1}{2}\)

= \(\frac{1 - \sin 60}{1 + \cos 60} = \frac{1 - \frac{\sqrt{3}}{2}}{1 + \frac{1}{2}}\)

= \(\frac{2 - \sqrt{3}}{3}{2}\div \frac{2 + 1}{2}\)

= \(\frac{2 - \sqrt{3}}{2} \times \frac{2}{3}\)

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

1,408.

If M and N are two fixed points in a plane. Find the locus L = [P : PM = PN]

A.

a line equal to MN

B.

line parallel to MN

C.

Perpendicular bisector of MN

D.

A circle centre P, radius MN

Correct answer is C

Locus L = (P : PM = Pn}

For M and N being two fixed points

Since PM = PN, P is equidistant from Mand N, So L must be the perpendicular bisector of the line MN

1,409.

The interior angles of a pentagon are (2x + 5)o, (x + 20)o, xo, (3x - 20)o and (x + 15)o. Find the value of x

A.

80o

B.

70o

C.

65o

D.

40o

Correct answer is C

(2x + 5)o + (xo + 20o) + x + (3x - 20)o + (x + 15)o = (n - 2) x 180

8n + 20 = (5 - 2) x 180

where n = 5(Pentagon)

8n + 20 = 3 x 180

8n + 20 = 540

8n = 540 - 20

8n = 520

x = 65o

1,410.

The diameter of a bicycle wheel is 42cm. If the wheel makes 16 complete revolution, what will be the total distance covered by the wheel? [Take \(\pi \frac{22}{7}\)

A.

672cm

B.

1056cm

C.

2112cm

D.

4224cm

Correct answer is C

d = 42cm

Circumference = \(\pi d = \frac{22}{7} \times 42cm\)

= 22 x 6cm = 132cm

Total distance covered = circumference x number of revolutions

= 132cm x 16 = 2112cm