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.
50
60
288
300
Correct answer is B
No of ways
= 4 x 5 x 3
= 60 ways
Find the area between line y = x + 1 and the x-axis from x = -2 to x = 0.
5 square units
4 square units
2 square units
1 square unit
Correct answer is C
\(\int^0_{-2} x + 1\) x\(^2 + x|^0_{-2}\)
0 - (2\(^2 - 2\))
= 2 square units
Find correct to the nearest degree,5 the angle between p = 12i - 5j and q = 4i +3j
59\(^o\)
60\(^o\)
75\(^o\)
76\(^o\)
Correct answer is A
Cos \(\theta\) = \(\frac{4(12) + (-5)(3)}{\sqrt{12^2 + (-5)^2}\sqrt{4^2 + 3^2}}\)
Cos\(\theta\) = \(\frac{48 - 15}{(\sqrt{189})(\sqrt{25})}\)
\(\theta = cos^{-1}\) (\(\frac{33}{61.28}\))
\(\theta\) = cos\(^{-1}\)0.5367
\(\theta\) = 59\(^o\)
Which of the following vectors is perpendicular to \(\begin{pmatrix} -1 & 3 \end{pmatrix}\)?
\(\begin{pmatrix} -3 & 1 \end{pmatrix}\)
\(\begin{pmatrix} 1 & 3 \end{pmatrix}\)
\(\begin{pmatrix} 1 & -3 \end{pmatrix}\)
\(\begin{pmatrix} 1 & 3 \end{pmatrix}\)
Correct answer is A
No explanation has been provided for this answer.
If y = (5 - x)\(^{-3}\), and \(\frac{dy}{dx}\)
\(\frac{-15}{(5 - x)^4}\)
\(\frac{-3}{(5 - x)^4}\)
\(\frac{3}{(5 - x)^4}\)
\(\frac{15}{(5 - x)^4}\)
Correct answer is C
y = (5 - x)\(^{-3}\)
\(\frac{dy}{dx}\) = -3(5 - x)\(^{-4}\)
= \(\frac{-3}{(5 - x)^4}\)