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.

2,966.

Which of the following correctly expresses 48 as a product of prime factors?

A.

3 x 4 x 4

B.

2 x 3 x 8

C.

2 x 2 x 2 x 3 x 4

D.

2 x 2 x 2 x 2 x 3

Correct answer is D

48 = 2 x 2 x 2 x 2 x 3

2,967.

If the simple interest on N2000 after 9 months is N60, at what rate per annum is the interest charged?

A.

\(2\frac{1}{4}\)%

B.

4%

C.

5%

D.

6%

Correct answer is B

\(I = \frac{PRT}{100}\)

\(R = \frac{100I}{PT}\)

\(R = \frac{100 \times 60}{2000 \times \frac{3}{4}}\)

\(R = \frac{6000}{1500}\)

= 4%

2,968.

Solve the equation 3 + 5x - 2x2 = 0

A.

\(-\frac{1}{2},-3\)

B.

2, 3

C.

-2, 3

D.

\(-\frac{1}{2},3\)

Correct answer is D

\(3 + 5x - 2x^2 = 0\\
3 + 6x - x - 2x^2 = 0\\
3(1 + 2x) - x(1 + 2x) = 0\\
(3-x)(1+2x)=0\\
3-x = 0 \hspace{1mm}or \hspace{1mm}1+2x = 0\\
x = 3\hspace{1mm} x = -\frac{1}{2}\\
x = 3 \hspace{1mm}or\hspace{1mm} x =-\frac{1}{2}\)

2,969.

Find the volume (in cm\(^3\)) of the solid shown above

A.

100cm3

B.

150cm3

C.

175cm3

D.

250cm3

Correct answer is C

Total volume = (5 x 5) x 5 + (5 x 5) x 2 

= 125 + 50 

= 175 cm\(^3\)

2,970.

The area of a circle is 38.5cm2. Find its diameter [take \(\pi = \frac{22}{7}\)]

A.

22cm

B.

14cm

C.

7cm

D.

6cm

Correct answer is C

\(\pi r^2 = 38.5\\
\frac{}{} = r^2 = 38.5\\
r^2 = \frac{38.5 \times 7}{22}\\
r = \sqrt{12.25} = 3.5\\
diameter = 2r = 2 \times 3.5 = 7cm\)