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.

536.

The locus of the points which is equidistant from the line PQ forms a

A.

perpendicular line to PQ

B.

circle centre P

C.

circle centre Q

D.

pair of parallel lines to PQ

Correct answer is A

No explanation has been provided for this answer.

537.

A chord of a circle subtends an angle of 120° at the centre of a circle of diameter \(4\sqrt{3} cm\). Calculate the area of the major sector.

A.

32\(\pi\) cm\(^2\)

B.

4\(\pi\) cm\(^2\)

C.

8\(\pi\) cm\(^2\)

D.

16\(\pi\) cm\(^2\)

Correct answer is C

Angle of major sector = 360° - 120° = 240°

Area of major sector : \(\frac{\theta}{360} \times \pi r^{2}\)

r = \(\frac{4\sqrt{3}}{2} = 2\sqrt{3} cm\)

Area : \(\frac{240}{360} \times \pi \times (2\sqrt{3})^{2}\)

= \(8\pi cm^{2}\)

538.

Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8 cm.

A.

\(8\sqrt{3}\) cm

B.

4 cm

C.

8 cm

D.

\(8\sqrt{2}\) cm

Correct answer is D

Length of chord = \(2r \sin (\frac{\theta}{2})\)

= \(2 \times 8 \times \sin (\frac{90}{2})\)

= \(16 \times \frac{\sqrt{2}}{2}\)

= \(8\sqrt{2} cm\)

539.

A square tile has side 30 cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?

A.

720

B.

336

C.

420

D.

576

Correct answer is B

Length of the tile = 30 cm = 0.3m

Area of the tile = 0.3 \(\times\) 0,3 = 0.09 m\(^2\)

Area of the room = (7.2 \(\times\) 4.2)m\(^2\)

Number of tiles = \(\frac{7.2 \times 4.2}{0.09}\)

= 336

540.

If the angles of a quadrilateral are (3y + 10)°, (2y + 30)°, (y + 20)° and 4y°. Find the value of y.

A.

66°

B.

12°

C.

30°

D.

42°

Correct answer is C

Sum of angles in a quadrilateral = 360°

\(\therefore\) (3y + 10) + (2y + 30) + (y + 20) + 4y = 360

10y + 60 = 360 \(\implies\) 10y = 300

y = 30°