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.
\(q \implies p\)
\(\sim q \implies p\)
\(\sim q \implies \sim p\)
\(\sim p \implies \sim q\)
Correct answer is C
No explanation has been provided for this answer.
\(\frac{-5}{7}\)
\(-\frac{2}{5}\)
\(\frac{2}{5}\)
\(\frac{5}{7}\)
Correct answer is B
\(S_{\infty} = \frac{a}{1 - r}\) (Sum to infinity of a GP)
\(250 = \frac{350}{1 - r} \implies 250(1 - r) = 350\)
\(350 = 250 - 250r \implies 350 - 250 = -250r\)
\(250r = -100 \implies r = \frac{-100}{250} = -\frac{2}{5}\)
12.6 cm
12.0 cm
9.6 cm
9.0 cm
Correct answer is D
Length of arc (in radians) = \(r \theta\)
\(10.8 = 1.2r\)
\(r = \frac{10.8}{1.2} = 9.0 cm\)
The gradient of point P on the curve \(y = 3x^{2} - x + 3\) is 5. Find the coordinates of P.
(1, 5)
(1, 7)
(1, 13)
(1, 17)
Correct answer is A
\(y = 3x^{2} - x + 3\)
\(\frac{\mathrm d y}{\mathrm d x} = 6x - 1 = 5\)
\(6x = 5 + 1 = 6 \implies x = 1\)
\(y = 3(1^{2}) - 1 + 3 = 3 - 1 + 3 = 5\)
\(P = (1, 5)\)
Given that \(2^{x} = 0.125\), find the value of x.
0
-1
-2
-3
Correct answer is D
\(2^{x} = 0.125 = \frac{125}{1000}\)
\(2^{x} = \frac{1}{8} = 8^{-1}\)
\(2^{x} = 2^{-3}\)
\(x = -3\)