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.

1,736.

If \(\theta\) = \(\frac{3}{2}\) and \(\theta\) is less than 90o, calculate tan \(\frac{(90 - \theta)}{cos^2\theta}\)

A.

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

B.

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

C.

\(\sqrt{3}\)

D.

4\(\sqrt{3}\)

Correct answer is B

No explanation has been provided for this answer.

1,737.

In the figure, PS = SR and Rx is a tangent to the circle at R, < QRX is equal to 72o.  Find angle SPR

A.

20o

B.

36o

C.

72o

D.

30o

E.

15o

Correct answer is B

XRQ = RSQ (Alternate segment)

s = 72o

(80o - 72o = 180o)

a + b + c = 190o = 2b + c = 180o

2b + 108 = 180o

2b = 72o

b = 36o

1,738.

The angles marked in the figure are measured in degrees. Find x.

A.

45o

B.

90o

C.

60o

D.

15o

E.

30o

Correct answer is E

Sum of external angles = 360o

3x + 5x + x + 2x + x = 360o

12x = 360o

x = 30o

1,739.

In the figure, FGHJ is a circle of radius 3cm centre O. FOH, GOJ are perpendicular diameters. With G as centre of an arc of a circle is drawn to pass through F and H. Find the length of the perimeter of the lunar portion shaded.

A.

3\(\pi\)\(\sqrt{2 - 1}\)cm

B.

\(\frac{9}{2}\)\(\pi\)cm

C.

3 \(\pi\)(1 + \(\frac{2}{2}\))

D.

3(1 + \(\frac{2}{2}\))

Correct answer is C

Perimeter of lunar portion = 3\(\pi\) + \(\frac{3\pi \sqrt{2}}{2}\)

= 3 \(\pi\)(1 + \(\frac{2}{2}\))

1,740.

FG is a given straight line and H is a fixed point. The construction marks shown in the diagram indicate the

A.

perpendicular bisector of the line

B.

perpendicular bisector of th eline JK

C.

perpendicular bisector of the line HI

D.

perpendicular from H to the line FG

Correct answer is D

No explanation has been provided for this answer.