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.

346.

In the diagram, RT is a tangent to the circle at R, < PQR = 70\(^o\), < QRT = 52\(^o\), < QSR and < PRQ = x. Find the value of y. 

A.

70\(^o\)

B.

60\(^o\)

C.

52\(^o\)

D.

18\(^o\)

Correct answer is C

∠QRT = ∠SRT = 52 (opposite angles)

∠SRT = y = 52 (alternate angles)

y = 52\(^o\) 

347.

In the diagram, O is the centre of the circle of radius 18cm. If < zxy = 70\(^o\), calculate the length of arc ZY. [Take \(\pi = \frac{22}{7}\)]
 

A.

11cm

B.

22 cm

C.

44 cm

D.

80 cm

Correct answer is C

Z\({O}\)T = 2 x 70\(^o\) 140\(^o\)

Length = \(\frac{\theta}{360}\) x 2\(\pi\)r

\(\frac{140^o}{360} \times 2 \times \frac{22}{7}\) x 18

= 44cm

349.

If tan x = \(\frac{3}{4}\), 0 < x < 90\(^o\), evaluate \(\frac{\cos x}{2 sin x}\) 

A.

\(\frac{8}{3}\)

B.

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

C.

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

D.

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

Correct answer is D

y\(^2\) = 3\(^2\) + 4\(^2\)

y\(^2\) = 9 + 16 

y = \(\sqrt{25}\) 

= 5

\(\frac{\cos x}{2 \sin x} = \frac{4}{5} + 2 \times \frac{3}{5}\)

= \(\frac{4}{5} \times \frac{5}{6}\)

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

350.

The foot of a ladder is 6m from the base of an electric pole. The top of the ladder rest against the pole at a point 8m above the ground. How long is the ladder? 

A.

14m

B.

12m

C.

10m

D.

7m

Correct answer is C

H\(^2\) = 8\(^2\) + 6\(^2\) + 6\(^2\)

H\(^2\) = 64 + 36 = 100

H = \(\sqrt{100}\) = 10m