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.
254−m
254−2m
254+m
254+2m
Correct answer is A
2x2−5x+m=0
a=2,b=−5,c=m
α+β=−ba=52
αβ=ca=m2
α2+β2=(α+β)2−2αβ
= (52)2−2(m2)
= 254−m
Express 23−√7 in the forma+√b, where a and b are integers.
6+√7
3+√7
3−√7
6−√7
Correct answer is B
Rationalizing 23−√7 by multiplying through with 3+√7,
23−√7(3+√7)(3+√7)=6+2√79−7
= 6+2√72=3+√7
Which of the following binary operations is not commutative?
a∗b=1a+1b
a∗b=a+b−ab
a∗b=2a+2b+ab
a∗b=a−b+ab
Correct answer is D
All other options given are commutative i.e. a∗b=b∗a, except option D.
a∗b=a−b+ab
b∗a=b−a+ba
a−b=−(b−a)≠b−a
Find the coefficient of x4 in the binomial expansion of (2+x)6
120
80
60
15
Correct answer is C
(2+x)6
x4=6C2(22)(x4)=15×4=60
Given \sin \theta = \frac{\sqrt{3}}{2}, 0° \leq \theta \leq 90°, find \tan 2\theta in surd form
- \sqrt{3}
-\frac{\sqrt{3}}{2}
\frac{\sqrt{3}}{2}
\sqrt{3}
Correct answer is A
\sin \theta = \frac{\sqrt{3}}{2} \implies opp = \sqrt{3}; hyp = 2
adj^{2} = 2^{2} - (\sqrt{3})^{2} = 1 \implies adj = 1
\cos \theta = \frac{1}{2}
\sin 2\theta = \sin (180 - \theta) = \sin \theta = \frac{\sqrt{3}}{2}
\cos 2\theta = \cos (180 - \theta) = -\cos \theta = -\frac{1}{2}
\tan 2\theta = \frac{\sin 2\theta}{\cos 2\theta} = \frac{\frac{\sqrt{3}}{2}}{-\frac{1}{2}}
= - \sqrt{3}