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.
If 2y\(^2\) + 7 = 3y - xy, find \(\frac{dy}{dx}\)
\(\frac{-y}{4x+y-3}\)
\(\frac{y}{4x+y-3}\)
\(\frac{-y}{4x+x-3}\)
\(\frac{y}{4x+x-3}\)
Correct answer is D
2y\(^2\) + 7 = 3y - xy, find \(\frac{dy}{dx}\)
4y \(\frac{dy}{dx}\) + 0 = 3 \(\frac{dy}{dx}\) - x \(\frac{dy}{dx}\) + y
{4x+x-3} \(\frac{dy}{dx}\) = y
= \(\frac{y}{4x+x-3}\)
A fair die is tossed 60 times and the results are recorded in the table
| Number of die | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 15 | 10 | 14 | 2 | 8 | 11 |
Find the probability of obtaining a prime number.
\(\frac{7}{30}\)
\(\frac{1}{6}\)
\(\frac{7}{15}\)
\(\frac{8}{15}\)
Correct answer is D
Prime number in the experiment are 2,3 and 5 with frequencies 10,14 and 8
P(obtaining a prime number) = \(\frac{10+14+8}{60}\)
= \(\frac{32}{60}\) or \(\frac{8}{15}\)
129.9N
75N
60.0N
7.5N
Correct answer is B
Let the normal reaction be R
R = Wcosø = mgcosø
= 15 * 10cos 60°
= 150 * 0.5000
= 75N
{1,4,9,36}
{3,9.36}
{9,36}
{36}
Correct answer is D
P = {3,6,9,12,18,36}; Q = { 4,36}
P n Q = {36}
Find the inverse of \(\begin{pmatrix} 4 & 2 \\ -3 & -2 \end{pmatrix}\)
\(\begin{pmatrix} 1 & 1 \\ -1.5 & -2 \end{pmatrix}\)
\(\begin{pmatrix} 1 & -1 \\ 1.5 & -2 \end{pmatrix}\)
\(\begin{pmatrix} -2 & 1 \\ 1.5 & 1 \end{pmatrix}\)
\(\begin{pmatrix} -2 & -1 \\ 1.5 & 1 \end{pmatrix}\)
Correct answer is A
Let A = \(\begin{pmatrix} 4 & 2 \\ -3 & -2 \end{pmatrix}\);
|A| = -8 - (-6) = -8 + 6
|A| = -2
A\(^{-1}\) = \(\frac{1}{-2}\) = \(\begin{pmatrix} -2 & 2- \\ 3 & 4 \end{pmatrix}\)
= \(\begin{pmatrix} 1 & 1 \\ -1.5 & -2 \end{pmatrix}\)