Further Mathematics Questions and Answers
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
-2
-\(\frac{3}{2}\)
\(\frac{3}{2}\)
2
Correct answer is C
\(\alpha + \beta = \frac{-b}{a}\)
From the equation, a = 2, b = -3 and c = 4
\(\alpha + \beta = \frac{-(-3)}{2} = \frac{3}{2}\)
A straight line 2x+3y=6, passes through the point (-1,2). Find the equation of the line.
2x-3y=2
2x-3y=-2
2x+3y=-4
2x+3y=4
Correct answer is D
\(2x+3y = 6 \implies 3y = 6-2x\)
\(y = \frac{6}{3} - \frac{2x}{3}\)
Parallel lines have the same gradient
\(\therefore\) Gradient of the line = \(\frac{-2}{3}\)
Line passes through (-1,2)
Equation: \(\frac{y-2}{x-(-1)} = \frac{y-2}{x+1} = \frac{-2}{3}\)
\(3y-6 = -2x-2 \implies 3y+2x = -2+6 =4\)
\(-\sqrt{3}\)
\(-\frac{\sqrt{3}}{2}\)
\(-\frac{1}{2}\)
\(\frac{\sqrt{2}}{2}\)
Correct answer is B
cos150° = -cos30°
= \(-\frac{\sqrt{3}}{2}\)
1.2
3.6
0.8
0.5
Correct answer is C
\(\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}\)\(\begin{pmatrix} 5 \\ 4 \end{pmatrix}\) = k\(\begin{pmatrix} 17.5 \\ 40.0 \end{pmatrix}\)
\(\begin{pmatrix} 10 + 4 \\ 20 + 12\end{pmatrix}\) = \(\begin{pmatrix} 14 \\ 32\end{pmatrix}\) = k\(\begin{pmatrix} 17.5 \\ 40.0 \end{pmatrix}\)
k = \(\frac{14}{17.5} = \frac{32}{40} = 0.8\)
How many ways can 6 students be seated around a circular table?
36
48
120
720
Correct answer is C
In a circular seating arrangement, we fix the position of one person and then rotate the others, so we have
\((6-1)! = 5! = 5\times4\times3\times2 = 120\)