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.

3,311.

The angle of elevation of the top of a tower from a point on the horizontal ground, 40m away from the foot of the tower is 30o. Find the height of the tower.

A.

20m

B.

40√3m/3

C.

20√3m

D.

40√3m

E.

60cm

Correct answer is B

\(\tan 30 = \frac{x}{40}\)

\(x = 40 \tan 30 = \frac{40}{\sqrt{3}}\)

= \(\frac{40\sqrt{3}}{3} m\)

3,312.

If sin x = 12/13, where 0° < x < 90°, find the value of 1 - cos\(^2\)x

A.

25/169

B.

64/169

C.

105/169

D.

144/169

E.

8/13

Correct answer is D

\(\sin x = \frac{12}{13}\)

\(\cos x = \frac{5}{13}\)

\(\cos^{2} x = (\frac{5}{13})^2 = \frac{25}{169}\)

\(1 - \cos^{2} x = 1 - \frac{25}{169}\)

= \(\frac{144}{169}\)

3,313.

Cos 75o has the same value as

A.

cos 115o

B.

cos 255o

C.

cos 285o

D.

-sin165o

E.

-sin 255o

Correct answer is C

No explanation has been provided for this answer.

3,314.

Given that tan x = 5/12, what is the value of sin x + cos x ?

A.

5/13

B.

7/13

C.

12/13

D.

17/13

E.

5/12

Correct answer is D

\(\tan x = \frac{opp}{adj} = \frac{5}{12}\)

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

\(Hyp^2 = 5^2 + 12^2\)

= \(25 + 144 = 169\)

\(Hyp = \sqrt{169} = 13\)

\(\sin x = \frac{5}{13}; \cos x = \frac{12}{13}\)

\(\sin x + \cos x = \frac{5}{13} + \frac{12}{13}\)

= \(\frac{17}{13}\)