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.
If the binomial expansion of (1 + 3x)\(^6\) is used to evaluate (0.97)\(^6\), find the value of x.
0.03
0.01
-0.01
-0.03
Correct answer is C
(1 + 3x )\(^6\) = (0.97)\(^6\)
1 + 3x = 0.97
3x = 0.97.1
\(\frac{3x}{3} = \frac{0.03}{3}\)
x = -0.01
4 + 8 + 16 + 32 + ...
\(\frac{1}{2}\) + 2 \(\frac{1}{2}\) + 12\(\frac{1}{2}\) + 62 \(\frac{1}{2}\) + ..
\(\frac{4}{81}\) + \(\frac{2}{27}\) + \(\frac{1}{9}\) + \(\frac{1}{6}\) + ...
128 + 64 + 32 + 16 + ...
Correct answer is D
No explanation has been provided for this answer.
2.9.seconds
2.8 seconds
2.6 seconds
1.4 seconds
Correct answer is A
s = \(\frac{1}{2}gt^2\)
40 = \(\frac{1}{2} \times 9.8 \times t^2\)
\(\frac{80}{9.8} = t^2\)
t = \(\sqrt{8.16326}\)
t ≈ 2.9 secs
p=-10, q=7
p=-10, q=-7
p=10, q=- 7
p-10, q=7
Correct answer is C
If the body is in equilibrium then
F + R = N
3i - 12j + 7i + 5j = pi + qj
10i - 7j = pi + qj
p = 10, q = -7
Find the angle between i + 5j and 5i - J
0\(^o\)
45\(^o\)
60\(^o\)
90\(^o\)
Correct answer is D
a = i + 5j and b = 5i - j
cos\(\theta\) = \(\frac{a.b}{|a|.|b|}\)
= \(\frac{(1 \times 5) + (5x - 1)}{(\sqrt{1^2 + 5^2}) (5^2 + (-1))^2}\)
= \(\frac{5 - 5}{\sqrt{26}\times \sqrt{26}}\) = 0
x = cos\(^{-1}\)(0), x = 90\(^o\)