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.
-\(\frac{5}{4}\)
-\(\frac{4}{5}\)
\(\frac{4}{5}\)
\(\frac{5}{4}\)
Correct answer is C
PQ = \(\begin {pmatrix} 2 & 3\\ -4 & 1\end {pmatrix}\) = \(\begin {pmatrix} 6 \\ 8 \end {pmatrix}\) = \(\begin {pmatrix} 36 \\ - 16\end {pmatrix}\)
\(\begin {pmatrix} 36 \\ -16 \end {pmatrix} \) = k = \(\begin {pmatrix} 45 \\ -20 \end {pmatrix} \)
k = \(\frac{36}{45}\)
= \(\frac{4}{5}\)
Calculate the distance between points (-2, -5) and (-1, 3)
\(\sqrt{5}\) units
\(\sqrt{17}\) units
\(\sqrt{65}\) units
\(\sqrt{73}\) units
Correct answer is C
distance = \(\sqrt{(3 - (-5)^2 + (-1 - (-2)^2)}\)
= \(\sqrt{8^2 + 1^2}\)
= \(\sqrt{65}\) units
Find the value of x for which 6\(\sqrt{4x^2 + 1}\) = 13x, where x > 0
\(\frac{6}{5}\)
\(\frac{25}{24}\)
\(\frac{24}{25}\)
\(\frac{5}{6}\)
Correct answer is A
\(\sqrt{4x^2 + 1}\) = \(\frac{13x}{6}\)
4x\(^2\) + 1 = \(\frac{169x^2}{36}\)
4 + x\(^2\) = \(\frac{169x^2}{36}\)
cross multiply
169x\(^2\) - 144x\(^2\) = 36
25x\(^2\) = 36
x\(^2\) = \(\frac{36}{25}\)
: x = \(\pm\frac{6}{5}\)
Find the sum of the first 20 terms of the sequence -7-3, 1, ......
620
660
690
1240
Correct answer is A
d = -3 - (-7) = 4
S\(_{20}\) = \(\frac{20}{2}\){2(-7) + (20 - 1) 4}
= 10(- 14 + 76)
= 620
\(\frac{3}{2}\)
1
\(\frac{1}{2}\)
0
Correct answer is D
\(\frac{1}{x^2 - 4} = \frac{P}{(x + 2)} + \frac{Q}{(x - 2)}\)
I = p(x - 2) + Q(x + 2)
Let x = 2
I = P(2 - 2) + Q(2+ 2)
I = -4Q
Q = \(\frac{1}{4}\)
Let x = -2
I = P(-2 - 2) + Q(-2 + 2)
I = -4p
P = \(\frac{1}{-4}\)
PQQ = - \(\frac{1}{4} + \frac{1}{4}\)
= 0