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.
The radius of a sphere is 3 cm. Find, in terms of π, its volume.
\(30\pi cm^3\)
\(108\pi cm^3\)
\(27\pi cm^3\)
\(36\pi cm^3\)
Correct answer is D
Given that radius = 3cm.
volume of sphere = \(\frac{4}{3}\times\pi\times r^3\)
= \(\frac{4}{3}\times\pi\times 3^3\)
= \(\frac{4}{3}\times\pi\times 27\)
= \(4\times\pi\times9\)
= \(36\pi cm^3\)
\(1,106.29cm^2\)
\(1,016.29cm^2\)
\(1,106.89cm^2\)
\(1,206.27cm^2\)
Correct answer is A
radius = 8cm , height = 14cm and \(\pi = \frac{22}{7}\)
total surface area of a solid cylinder =\( 2πrh+2πr^2\) = 2πr( h + r )
\( 2 \times \frac{22}{7} \times 8( 8 + 14)\)
\( 2 \times \frac{22}{7} \times 8 \times 22\)
\(\frac{7744}{7}\)
= \(1,106.29cm^2\)
6.29m
7.67m
7.18m
6.65m
Correct answer is A
%error=5%, measured height = 5.98m
let the actual height = y
error=x - 5.98 (since 'y' is more than 5.98)
%error = \(\frac{error}{actual height}\times 100%\)
5% = \(\frac{y - 5.98}{y}\times 100%\)
\(\frac{5}{100} = \frac{y - 5.98}{y}\)
5y = 100(y - 5.98)
5y = 100y - 598
5y - 100y = - 598
-95y = - 598
y = \(\frac{-598}{-95}\)
y = 6.29m( to 2 d.p).
Find the roots of the equations: \(3m^2 - 2m - 65 = 0\)
\(( -5, \frac{-13}{3})\)
\(( 5, \frac{-13}{3})\)
\(( 5, \frac{13}{3})\)
\(( -5, \frac{13}{3})\)
Correct answer is B
Find the roots of the equations: \(3m^2 - 2m - 65 = 0\)
= \( m^2 - 15m + 13m - 65 = 0\)
= 3m(m - 5) + 13( m - 5) = 0
( m - 5)(3m + 13) = 0
m-5 = 0 or 3m + 13 = 0
therefore, m = 5 or \(\frac{-13}{3}\)
therefore the roots of the quadratic equation = ( 5, \(\frac{-13}{3})\)
If \(log_a 3\) = m and \(log_a 5\) = p, find \(log_a 75\)
\(m^2 + p \)
2m + p
m + 2p
\(m + p^2\)
Correct answer is C
Given: \(log_a 3\) = m and \(log_a 5\) = p
\(log_a 75\) = \(log_a (3 × 25)\)
= \(log_a (3 × 5^2)\)
= \(log_a 3 + log_a 5^2\)
= \(log_a 3 + 2log_a 5\)
Since \(log_a 3\) = m and \(log_a 5\) = p
∴ \(log_a 75\) = m + 2p
Sales Marketer at Shulifang Biotechnology FZE
Chief Information Security Officer at Standard Chartered Bank
Research Officer at TEDxMaitama Official
Knowledge Management and Learning Senior Advisor at WaterAid
Environment Health and Safety (EHS) Operations Manager at British American Tobacco
Solar Installer at VGL Energy and Power Technology
Sales Representative at VGL Energy and Power Technology
Administrative Assistant at VGL Energy and Power Technology
Sanitation and Hygiene Coordinator at WaterAid Nigeria