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.
3.6 cm
7.6 cm
8.0 cm
11.6 cm
Correct answer is A
Length of arc given angle in radians = \(r \theta\)
= \(4 \times 0.9 = 3.6 cm\)
\(1 ms^{-2}\)
\(2 ms^{-2}\)
\(3 ms^{-2}\)
\(4 ms^{-2}\)
Correct answer is C
The two time differentiation of distance with respect to time will give the acceleration.
\(s = \frac{3}{2}t^{2} - 3t\)
\(\frac{\mathrm d s}{\mathrm d t} = v = 3t - 3\)
\(\frac{\mathrm d v}{\mathrm d t} = a = 3\)
\(\frac{4}{7}\)
\(\frac{2}{7}\)
\(\frac{1}{7}\)
\(\frac{1}{12}\)
Correct answer is A
P(one blue, other red) = P(1st red then blue) or P(1st blue then red)
= \((\frac{4}{7} \times \frac{3}{6}) + (\frac{3}{7} \times \frac{4}{6})\)
= \(\frac{2}{7} + \frac{2}{7} = \frac{4}{7}\)
Find the acute angle between the lines 2x + y = 4 and -3x + y + 7 = 0.
40°
44°
45°
54°
Correct answer is C
\(2x + y = 4 \equiv y = 4 - 2x \implies m_{1} = -2\)
\(-3x + y + 7 = 0 \equiv y = -7 + 3x \implies m_{2} = 3\)
\(\tan \theta = \frac{m_{1} - m_{2}}{1 - m_{1}m_{2}} = \frac{-2 - 3}{1 - (-2)(3)} = \frac{-5}{-5} = 1\)
\(\tan \theta = 1 \implies \theta = 45°\)
Find the number of different arrangements of the word IKOTITINA.
30240
60840
120960
362880
Correct answer is A
IKOTITINA has 9 letters with 2Ts and 3Is. Therefore, the number of different arrangements
= \(\frac{9!}{2!3!} = \frac{9.8.7.6.5.4}{2} = 30240\)