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.
6
2
-2
-8
Correct answer is B
f (x) = x\(^2\) + px + q
\(\frac{dy}{dx}\) = 2x + p
2x + p = 0
2(-3) + p = 0
p = +6
f(-2) = -2\(^2\) + p(-2) + q
= -6 2p + q = -10
-2(-16) + q = -10
-12 + q = -10
q = -10 + 12
= 2
Evaluate \(\int^0_0 \sqrt{x} dx\)
3
9
18
27
Correct answer is C
\(\int^0_0 \sqrt{x} dx\)
\(\frac{x^{\frac{1}{2}} + 1}{\frac{1}{2} + 1}\) |\(^9_0\)
\(\frac{2x^{\frac{3}{2}}}{3}\)|\(^9_0\)
= \(\frac{2(9)^{\frac{3}{2}}}{3}\)
= \(\frac{2(3)^3}{3}\)
= \(\frac{2 \times 27}{3}\)
= 2 x 9
= 18
Find the coordinates of the centre of the circle 3x\(^2\) + 3y\(^2\) - 6x + 9y - 5 = 0
(-3. \(\frac{9}{2}\))
(-1. \(\frac{3}{2}\))
(1, - \(\frac{3}{2}\))
(3. -\(\frac{9}{2}\))
Correct answer is C
\(\frac{3x^2}{3} + \frac{3y^2}{3} - \frac{6x}{3} + \frac{9y}{3} - \frac{5}{3}\) = 0
2gx = -2x, 2 fy = 3y
g = -1, f = \(\frac{3}{2}\)
Centre (1, - \(\frac{3}{2}\))
\(\frac{27}{64}\)y\(^2\)
\(\frac{27}{8}\)y\(^2\)
8y\(^2\)
9y\(^2\)
Correct answer is B
(2x + \(\frac{3y}{4}\))\(^3\)
= 3(2x) (\(\frac{3y}{4}\))\(^2\)
= \(\frac{27}{8}\)y\(^2\)
Given that P and Q are non-empty subsets of the universal set, U. Find P \(\cap\) (Q U Q`).
p
P`
Q
Q`
Correct answer is A
P \(\cap\) (Q U Q`)
P \(\cap\) U = P