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.
33
8
7
0
Correct answer is C
\(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div\frac{33}{2}\\
=\frac{15}{2}-\left(\frac{5}{2}+\frac{3}{1}\right)\times\frac{2}{33}\\
=\frac{15}{2}-\left(\frac{5+6}{2}\right)\times \frac{2}{33}=\frac{15}{2}-\frac{11}{2}\times \frac{2}{33}=\frac{15}{2}-\frac{1}{3}\\
=\frac{45-2}{6}=\frac{43}{6}\)
Simplify \(\frac{5}{\sqrt{3}}-\frac{3}{\sqrt{2}}\)
\(\frac{1}{6}(5\sqrt{3}-3\sqrt{2}\)
\(\frac{1}{6}(15\sqrt{3}-6\sqrt{2}\)
\(\frac{1}{6}(3\sqrt{2}-\sqrt{3}\)
\(\frac{1}{6}(10\sqrt{3}-9\sqrt{2}\)
Correct answer is D
\(\frac{5}{\sqrt{3}}-\frac{3}{\sqrt{2}}=\frac{5\sqrt{2}-3\sqrt{3}}{\sqrt{6}}\\
=\frac{5\sqrt{2}-3\sqrt{3}}{\sqrt{6}} \times \frac{\sqrt{6}}{\sqrt{6}}Rationalize\\
\frac{\sqrt{6}(5\sqrt{2}-3\sqrt{3})}{6}\\
\frac{5\sqrt{12}-3\sqrt{18}}{6}=\frac{10\sqrt{3}-9\sqrt{2}}{6}\\
\frac{1}{6}(10\sqrt{3}-9\sqrt{2})\)
Correct 0.04945 to two significant figures
0.040
0.049
0.050
0.49
Correct answer is B
0.04945 \(\approxeq\) 0.049. (to 2 sig. figs)
36o
44o
46o
54o
Correct answer is D
θ= angle of depression of the point from the top of the wall
\(tan\theta = \frac{7}{5}=1.4; \theta = tan^{-1}(1.400)\
\theta = 54.4^{\circ}; \theta = 54^{\circ}\) to the nearest degree
\(\frac{36}{625}\)
\(\frac{16}{625}\)
\(\frac{12}{25}\)
\(\frac{13}{25}\)
Correct answer is C
Prob(RW or WR) = Prob(RW) + Prob(WR)
\(Prob(R) = \frac{3}{5}:Prob(W) = \frac{2}{5}\\
Prob(RW\hspace{1mm}or\hspace{1mm}WR)=\frac{3}{5}\times\frac{2}{5}+\frac{2}{5}\times \frac{3}{5}\\
\frac{6}{25}+\frac{6}{25}=\frac{12}{25}\)