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.
\(\frac{2}{3}\)
\(\frac{1}{2}\)
\(\frac{1}{3}\)
\(\frac{1}{6}\)
Correct answer is B
x -5 -2 4 8
-5 25 10 -20 -40
-2 10 4 -8 -16
4 10 4 -8 -16
4 -20 -8 16 32
8 -40 -16 32 64
Pr(Two numbers is positive) = \(\frac{8}{16}\)
= \(\frac{1}{2}\)
Find the median of the numbers 9,7, 5, 2, 12,9,9, 2, 10, 10, and 18.
7
9
10
11
Correct answer is B
Rearrange;
2, 2, 5, 7, 9, 9, 9, 10, 10, 11, 12, 18
Median = 9
\(\frac{117}{125}\)
\(\frac{24}{25}\)
\(\frac{3}{5}\)
\(\frac{7}{25}\)
Correct answer is C
Cos (x + y)
= cos x cos y - sin x sin y
cos (x + y) = \(\frac{4}{5} \times \frac{24}{25} - \frac{3}{5} \times \frac{7}{25}\)
= \(\frac{96}{125} - \frac{21}{125} = \frac{96 - 21}{125}\)
= \(\frac{75}{125}\)
= \(\frac{3}{5}\)
4
6
8
10
Correct answer is A
P = {1, 2, 3, 4, 5, 6}
Q = {3, 4 , 5, 6, 7, 8, 9}
P \(\cap\) Q = {3, 4, 5, 6}
n(P \(\cup\) Q) = 4
Determine the coefficient of x\(^3\) in the binomial expansion of ( 1 + \(\frac{1}{2}\)x)
\(\frac{5}{8}\)
\(\frac{5}{6}\)
\(\frac{5}{4}\)
\(\frac{5}{2}\)
Correct answer is C
(1 + \(\frac{1}{2} x )^5\)
1(1)\(^3\)(\(\frac{1}{2} x)^0\) - 5(1)\(^4\)(\(\frac{1}{2} x)^1\)
+ 10 (10)\(^3\)(\(\frac{1}{2} x )^2\) + 10(1)\(^2\) (\(\frac{1}{2} x\))\(^3\)
Coefficient of x\(^3\)
10(\(\frac{1}{2} x)^3\) = \(\frac{10}{8} x^3\) =
= \(\frac{5}{4}\)