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.

3,356.

Points X and Y are respectively 12m North and 5m east of point Z. Calculate XY

A.

7m

B.

12m

C.

13m

D.

17m

E.

18m

Correct answer is C

Using pythagora's theorem:

hyp\(^2\) = opp\(^2\) + adj\(^2\)

hyp\(^2\) = 12\(^2\) + 5\(^2\) → 144 + 25

hyp\(^2\) = 169

hyp = √169

hyp = 13

3,357.

A cliff on the bank of a river is 300 metres high. if the angle of depression of a point on the opposite side of the river is 60° find the width of the river.

A.

100m

B.

75√3m

C.

100√3m

D.

200√3m

E.

300m

Correct answer is C

No explanation has been provided for this answer.

3,358.

A ladder leans against a vertical wall at an angle 60° to the wall, if the foot of the ladder is 5 metres away from the wall, calculate the length of the ladder.

A.

5√3m/3

B.

5m

C.

10√3m/3

D.

5√3m

E.

10m

Correct answer is C

The ladder makes 60° inclination with the wall and its foot is 5m away from the wall.

Sketching the diagram, you will see that we have

\(sin 60 = \frac{5}{x}\) (where x is the length of the ladder)

⇒ \(x = \frac{5}{sin60}\)

\(x = \frac{10\sqrt{3}}{3}m\) 

3,359.

Town P is on bearing 315o from town Q while town R is south of town P and west of town Q. lf town R is 60km away from Q, how far is R from P?

A.

30km

B.

42km

C.

45km

D.

60km

E.

120km

Correct answer is D

No explanation has been provided for this answer.

3,360.

The value of sin 210° is

A.

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

B.

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

C.

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

D.

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

E.

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

Correct answer is A

sin 210 = - sin (210 - 180) = - sin 30

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