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.
For what range of values of x is x\(^2\) - 2x - 3 ≤ 0
{x: -1 ≤ x ≤ 3}
{x: -3 ≤ x ≤ 1}
{x: -3 ≤ x ≤ -1}
{x: 1 ≤ x ≤ 3}
Correct answer is A
Let x\(^2\) - 2x - 3 = 0;
(x+1)(x-3) = 0
The zeros of the function are x = -1 and 3
The solution set is { x: -1 ≤ x ≤ 3}
Simplify ( \(\frac{1}{2 - √3}\) + \(\frac{2}{2 + √3}\) )\(^{-1}\)
\(\frac{-1}{33}\)(6 + √3)
\(\frac{-1}{33}\)(6 - √3)
\(\frac{1}{33}\)(6 + √3)
\(\frac{1}{33}\)(6 - √3)
Correct answer is C
( \(\frac{1}{2 - √3}\) + \(\frac{2}{2 + √3}\) )\(^{-1}\)
= \(\frac{2 + √3 + 2(2 - √3)}{(2 - √3)(2 + √3)}\)
= 2 + √3 + 4 - 2√3
= (6 - √3)\(^{-1}\)
= \(\frac{1}{6 - √3}\)
= \(\frac{6 + √3}{6 - √3 * 6 + √3}\)
= \(\frac{6 + √3}{33}\)
When birds fly, the sky is blue
Birds fly if and only if the sky is blue?
Either the bird is flying or the sky is blue.
When the sky is blue, the bird flies.
Correct answer is B
No explanation has been provided for this answer.
If log 5(\(\frac{125x^3}{\sqrt[ 3 ] {y}}\) is expressed in the values of p, q and k respectively
3, \(\frac{-1}{3}\), 5
\(\frac{-1}{3}\), 3, 5
3, \(\frac{-1}{3}\), 3
3, \(\frac{-1}{3}\), 3
Correct answer is D
log\(_5\) (\(\frac{125x^3}{\sqrt[3] {y}}\))
= \(\log_5 125 x^3 - \log _1 x^3 - log_5 y\frac{1}{3}\)
= \(3 log_5 5 + 3 log_5 x - \frac{1}{3} log _5 y\)
= 3, - \(\frac{1}{3}\), 3
If the sum of the roots of 2x\(^2\) + 5mx + n = 0 is 5, find the value of m
-2.5
-2.0
2.0
2.5
Correct answer is B
Sum of roots = \(\frac{-a}{b}\)
= \(\frac{-5m}{2}\) = 5
\(\frac{-5m}{m} = \frac{10}{-5}\)
m = -2