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.
\(\frac{13}{12}\)
\(\frac{5}{12}\)
-\(\frac{5}{12}\)
\(\frac{-1}{2}\)
Correct answer is C
P * q = \(\frac{q^2 - p^2}{2pq}\).
3 * 2 (where p = 3, q = 2)
i.e 3 *2 = \(\frac{3^2 - 2^2}{2 *3 * 2}\)
= \(\frac{4 - 9}{12}\)
= \(\frac{-5}{12}\)
For what value of k is 4x\(^2\) - 12x + k, a perfect square?
-9
\(\frac{-9}{4}\)
\(\frac{9}{4}\)
9
Correct answer is D
4x\(^2\) - 12x + k;
a = 4, b = -12, c = k.
For perfect square b\(^2\) = 4ac
(-12)\(^2\) = 4 * 4 * k;
144 = 16k
k = 144\16
k = 9
-7.0
-8.0
-9.6
9
Correct answer is B
f(x) = 4x\(^3\) + px\(^2\) + 7x - 23
If f(x) is divided by (2x -5), the remainder is f(\(\frac{5}{2}\))
f\(\frac{5}{2}\) = 4\(\frac{5}{2}\)\(^3\) + p\(\frac{5}{2}\)\(^2\) + 7\(\frac{5}{2}\) - 23
Hence;
= \(\frac{125}{8}\) + \(\frac{25}{4}\) p + \(\frac{35}{2}\) - 23
28 = 250 + 250p + 70 - 92
25p = -200; p = -8.0
If α and β are the roots of 3x\(^2\) - 7x + 6 = 0, find \(\frac{1}{α}\) + \(\frac{1}{β}\)
\(\frac{7}{6}\)
\(\frac{7}{3}\)
\(\frac{14}{5}\)
\(\frac{14}{3}\)
Correct answer is A
3x\(^2\) - 7x + 6 = 0
α + β = \(\frac{7}{3}\);
αβ = 2;
\(\frac{1}{α}\) + \(\frac{1}{β}\) = \(\frac{α +β}{αβ}\)
\(\frac{7}{3}\) ÷ 2
= \(\frac{7}{6}\)
In how many ways can 8 persons be seated on a bench if only three seats are available?
100
125
336
427
Correct answer is C
\(^3{P}_3\) = \(\frac{8!}{8-3}!\)
= \(\frac{(8 * 7 * 6 * 5)!}{5!}\)
= 336