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.
−log34
−log32
3log32
3log34
Correct answer is C
2log38−3log32=log382−log323
= log3(648)
= log38=log323
= 3log32
Calculate, correct to the nearest degree, the angle between the vectors (131) and (14)
58°
72°
74°
87°
Correct answer is B
a.b=|a||b|cosθ
(131).(14)=13×1+1×4=13+4=17
17=(√132+12)(√12+42)cosθ
17=(√170)(√17)cosθ
cosθ=1717√10=√1010=0.3162
\theta = \cos^{-1} 0.3162 = 72°
The position vectors of A and B are (2i + j) and (-i + 4j) respectively; find |AB|.
3\sqrt{2}
\sqrt{34}
\sqrt{34}
9\sqrt{2}
Correct answer is A
No explanation has been provided for this answer.
1
\frac{1}{2}
\frac{5}{12}
\frac{1}{12}
Correct answer is C
p(P) = \frac{1}{2}, p(P') = \frac{1}{2}
p(Q) = \frac{1}{3}, p(Q') = \frac{2}{3}
p(R) = \frac{3}{4}, p(R') = \frac{1}{4}
p(exactly two hit the target) = p(P and Q and R') + p(P and R and Q') + p(Q and R and P')
= (\frac{1}{2} \times \frac{1}{3} \times \frac{1}{4}) + (\frac{1}{2} \times \frac{3}{4} \times \frac{2}{3}) + (\frac{1}{3} \times \frac{3}{4} \times \frac{1}{2})
= \frac{1}{24} + \frac{6}{24} + \frac{3}{24}
= \frac{5}{12}