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.
2x + 3y + 6 = 0
3x - 2y - 6 = 0
-3x + 2y - 6 = 0
-2x + 3y - 6 =0
Correct answer is D
Equation of a straight line : y = mx + b
where m = the slope of the line
b = y- intercept
Given the two points (-3, 0) and (0, 2).
\(m = \frac{2 - 0}{0 - (-3)} = \frac{2}{3}\)
\(y = \frac{2}{3}x + 2 \implies 3y = 2x + 6\)
\(-2x + 3y - 6 = 0\)
Find the constant term in the binomial expansion of \((2x - \frac{3}{x})^{8}\).
90720
1296
1120
672
Correct answer is A
\((x)^{n}(x^{-1})^{8 - n} = x^{0}\)
\(x^{n} . x^{-8 + n} = x^{0} \implies n - 8 + n = 0\)
\(2n - 8 = 0 \implies n = 4\)
Constant term = \(^{8}C_{4}(2^{4})(3^{4}) = 70 \times 16 \times 81\)
= \(90720\)
(1, -2)
(0, 4)
(2, -3)
(1, -4)
Correct answer is D
Equate the equation of the curve and the line in order to find their point of intersection ie The values of y in both equations.
\(y + x = 1 \implies y = 1 - x\)
\(x^{2} + 2x - 3 = 1 - x\)
\(x^{2} + 2x + x - 3 - 1 = 0 \implies x^{2} + 3x - 4 = 0\)
\((x - 1)(x + 4) = 0\)
\(x = (1, -4)\)
If P(x - 3) + Q(x + 1) = 2x + 3, find the value of (P + Q).
0
1
2
3
Correct answer is C
No explanation has been provided for this answer.
A fair die is tossed twice. Find the probability of obtaining a 3 and a 5.
\(\frac{5}{12}\)
\(\frac{2}{3}\)
\(\frac{1}{18}\)
\(\frac{1}{36}\)
Correct answer is D
P(c and e) = \(P(c) \times P(e)\)
P(3) = \(\frac{1}{6}\)
P(5) = \(\frac{1}{6}\)
P(3 and 5) = \frac{1}{6} \times \frac{1}{6} = \frac{1}{36}\)