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 163x=14(32x−1), find the value of x.
−1
−13
−37
−519
Correct answer is A
163x=14(32x−1)
(24)3x=(2−2)((25)x−1)
212x=2−2+5x−5
12x=−7+5x
7x=−7⟹x=−1
If 5√2−√88=m√2, where m is a constant. Find m.
112
114
214
212
Correct answer is C
5√2=5×√2√2×√2=5√22
√88=2√28=√24
5√2−√88=(52−14)√2
= 94√2
= 214√2
Find the value of \cos(60° + 45°) leaving your answer in surd form
\frac{6 + \sqrt{2}}{4}
\frac{3 + \sqrt{6}}{4}
\frac{\sqrt{2} - \sqrt{6}}{4}
\frac{3 - \sqrt{6}}{4}
Correct answer is C
\cos (x + y) = \cos x \cos y - \sin x \sin y
\cos (60 + 45) = \cos 60 \cos 45 - \sin 60 \sin 45
= \frac{1}{2} \times \frac{\sqrt{2}}{2} - \frac{\sqrt{3}}{2} \times \frac{\sqrt{2}}{2}
= \frac{\sqrt{2} - \sqrt{6}}{4}
Find the domain of f(x) = \frac{x}{3 - x}, x \in R, the set of real numbers.
{x : x \in R, x \neq 3}
{x : x \in R, x \neq 1}
{x : x \in R, x \neq 0}
{x : x \in R, x\neq -3}
Correct answer is A
f(x) = \frac{x}{3 - x}
f(x) has a defined value except at x = 3 where the function is undefined.
23.52°
24.50°
29.52°
29.82°
Correct answer is B
p . q = |p||q|\cos \theta
156 + 70 = (\sqrt{13^{2} + 14^{2}})(\sqrt{12^{2} + 5^{2}}) \cos \theta
226 = (\sqrt{365})(13) \cos \theta
\frac{226}{13\sqrt{365}} = \cos \theta
\cos \theta = 0.9099
\theta = 24.50°