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.
Evaluate \((111_{two})^2 - (101_{two})^2\)
10two
100two
1100two
11000two
Correct answer is D
\((111_{2})^2 - (101_{2})^2\)
Difference of two squares
\((111 - 101)(111 + 101)\)
= \((10)(1100)\)
= \(11000_{2}\)
85o
60o
55o
45o
Correct answer is C
< QPS = < PRS = 65° (angles in the same segment)
< PSR + 40° + 65° = 180°
< PSR + 105° = 180°
< PSR = 75°
< PSR = < PSQ + < QSR
75° = < PSQ + 20° \(\implies\) < PSQ = 75° - 20° = 55°
Find the values of x for which \( \frac{1}{2x^2 - 13x +15} \) is not defined,
5 or \( \frac{3}{2} \)
1 or \( \frac{15}{13} \)
2 or 15
13 or 15
Correct answer is A
The fraction is undefined when the denominator is equal to zero
\(2x^2 - 13x + 15 = 0\\
2x^2 - 3x - 10x + 15\\
x(2x-3)-5(2x-3) = 0\\
(2x-3)(x-5)=0\\
x = \frac{3}{2} or x = 5\)
\(\frac{3}{5}\)
\(\frac{9}{10}\)
\(\frac{3}{20}\)
\(\frac{1}{4}\)
Correct answer is A
Member that are neither doctors nor lawyers = 60-(15+9)=36
Probability (Not doctors ad not lawyers) \(=\frac{36}{60}\\
=\frac{6}{10}=\frac{3}{5}\)
Calculate the value of y in the diagram
17
34
44
45
Correct answer is A
Sum of interior angle of the diagram equals 360o
180o - 5yo + 136o + 180o + 180o - 3yo = 360o
-8yo + 136o = 0
-8yo = -136; y = 17