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.

156.

In the diagram, ∠POQ = 150 and the radius of the circle PSQR is 4.2cm. [take π = 22/7]

What is the length of the minor arc?

A.

11cm

B.

15.4cm

C.

17.64cm

D.

23.10cm

Correct answer is A

\(\frac{θ}{360}\)  * 2 * π * r → \(\frac{150 * 2 * 22 * 4.2}{360 x 7}\)

= 11cm

157.

An exterior angle of a regular polygon is 22.5°. Find the number of sides.

A.

13

B.

14

C.

15

D.

16

Correct answer is D

The sum of exterior angles of a polygon is 360°

\(\frac{360}{22.5}\) = 16 sides

158.

Make t the subject of k = \(m \sqrt \frac{t-p}{r}\)

A.

\(\frac{k^2r + p}{m^2}\)

B.

\(\frac{k^2r + pm^2}{m^2}\)

C.

\(\frac{k^2r - p}{m^2}\)

D.

\(\frac{k^2r + p^2}{m^2}\)

Correct answer is B

square both sides to remove the square root

k\(^2\) = m\(^2\) \(\frac{t-p}{r}\)

\(\frac{k^2r}{m^2}\) = t - p

t = \(\frac{k^2r}{m^2}\) + p

t = \(\frac{k^2r + pm^2}{m^2}\) 

159.

Find the value of x such that \(\frac{1}{x}\) +\(\frac{4}{3x}\) - \(\frac{5}{6x}\) + 1 = 0

A.

\(\frac{1}{6}\)

B.

\(\frac{1}{4}\)

C.

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

D.

\(\frac{-7}{6}\)

Correct answer is C

\(\frac{1}{x}\) +\(\frac{4}{3x}\) - \(\frac{5}{6x}\) + 1 = 0
using 6x as lcm

→ \(\frac{6+8-5+6x}{6x}\) 

→ \(\frac{9+6x}{6x}\) = 0

9+6x = 0

6x = -9

x = \(\frac{-9}{6}\)  or \(\frac{-3}{2}\)

160.

What value of p will make (x\(^2\) - 4x + p) a perfect square?

A.

-2

B.

16

C.

4

D.

-8

Correct answer is C

(x\(^2\) - 4x + p)

Use the coefficient of the middle variable(-4x)

= (\(\frac{-4}{2}\))\(^2\)

= (-2)\(^2\)

= 4