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.
Which of the following is a factor of 2 - x - x2?
1 - x
1 + x
x - 1
2 - x
Correct answer is A
2 - x - x2; (2 - 2x) + (x - x2)
= 2(1 - x) + x(1 - x)
= (1 - x)(2 + x)
= 1 - x
PQR is an equilateral triangle with sides 2\(\sqrt{3cm}\). calculate its height
1.7cm
3.0cm
3.2cm
3.9cm
Correct answer is B
By Pythagoras theorem
h2 = (2\(\sqrt{3})^2 - (\sqrt{3})^2\)
= 22(\(\sqrt{3})^2 - 3\)
4(3) - 3 = 112 - 3
h2 = 9
h = \(\sqrt{9}\)
= 3cm
At what rate per cent per annum will N520.00 yield a simple interest of N39.00 in three years?
4%
3\(\frac{1}{2}\)%
3%
2\(\frac{1}{2}\)%
Correct answer is D
SI = \(\frac{PRT}{100}\)
39 = \(\frac{520 \times R \times 3}{100}\)
1560R = 3900
R = \(\frac{3900}{1560}\)
= 2.5%
R = 2\(\frac{1}{2}\)%
2
3
4
6
Correct answer is C
Let normal working hour = x
let overtime = y
after 10 hours = N31.00
1 x 2.50x + 4y = 31
4 x x + y = 10
2.50x + 4y = 31
- 4x + 4y = 30
----------------
-1.5x = -9
x = 6; x + y = 10
6 + y = 10
y = 10 - 4
y = 4hrs for over time
Find the value of a if log\(_{10}\) a + log\(_{10}\)a\(^2\) = 0.9030
4.0
2.0
1.6
0.0
Correct answer is C
log\(_{10}\) a + log\(_{10}\)a\(^2\) = 0.9030
log (a x a\(^2\)) = 0.9030
log a\(^3\) = 0.9030
a\(^3\) = 10^.9030(antilogarithm table)
a\(^3\) = 7.998
a = 3\(\sqrt{7.998}\)
a = 1.6