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.

2,491.

A point P moves so that its equidistant from point L and M. If LM is16cm, find the distance of P from LM when P is 10cm from L

A.

12cm

B.

10cm

C.

8cm

D.

6cm

Correct answer is D

p from LM = \(\sqrt{10^2 - 8^2}\) 

= \(\sqrt{36}\) = 6cm

2,492.

The angle between the positive horizontal axis and a given line is 135°. Find the equation of the line if it passes through the point (2,3)

A.

x - y = 1

B.

x + y = 1

C.

x + y = 5

D.

x - y = 5

Correct answer is C

m = tan 135° = -tan 45° = -1

\(\frac{y - y_1}{x - x_1}\) = m

\(\frac{y - 3}{x - 2}\) = -1

= y - 3 = -(x - 2)

= -x + 2

x + y = 5

2,493.

A cone with the sector angle of 45° is cut out of a circle of radius r of the cone.

A.

\(\frac{r}{16}\) cm

B.

\(\frac{r}{6}\) cm

C.

\(\frac{r}{8}\) cm

D.

\(\frac{r}{2}\) cm

Correct answer is C

The formula for the base radius of a cone formed from the sector of a circle = \(\frac{r \theta}{360°}\)

= \(\frac{r \times 45°}{360°}\)

= \(\frac{r}{8} cm\)

2,494.

An arc of a circle subtends an angle 70° at the centre. If the radius of the circle is 6cm, calculate the area of the sector subtended by the given angle.(\(\pi\) = \(\frac{22}{7}\))

A.

22cm2

B.

44cm2

C.

66cm2

D.

88cm2

Correct answer is A

Area of a sector = \(\frac{\theta}{360°} \times \pi r^{2}\)

r = 6cm; \(\theta\) = 70°.

Area of the sector = \(\frac{70}{360} \times \frac{22}{7} \times 6^{2}\)

= \(22 cm^{2}\)

2,495.

A chord of a circle of a diameter 42cm subtends an angle of 60° at the centre of the circle. Find the length of the mirror arc

A.

22cm

B.

44cm

C.

110cm

D.

220cm

Correct answer is A

Diameter = 42cm

Length of the arc = \(\frac{\theta}{360°} \times \pi d\)

= \(\frac{60}{360} \times \frac{22}{7} \times 42cm\)

= \(22cm\)