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.
t = -2 and 3
t = 2 and -3
t = 2 and 3
t = -2 and -3
Correct answer is C
For collinear points (points on the same line), the slopes are equal for any 2 points on the line.
Given (-1, t - 1), (t, t - 3), (t - 6, 3),
\(slope = \frac{(t-3) - (t-1)}{t - (-1)} = \frac{3 - (t-3)}{(t-6) - t} = \frac{3 - (t-1)}{(t-6) - (-1)}\)
Taking any two of the equations above, solve for t.
\(\frac{t - 3 - t + 1}{t + 1} = \frac{6 -t}{-6}\)
\(12 = (6 - t)(t + 1)\)
\(-t^{2} + 5t + 6 - 12 = 0 \implies t^{2} - 5t + 6 = 0\)
Solving, we have t = 2 and 3.
Find the variance of 1, 2, 0, -3, 5, -2, 4.
\(\frac{52}{7}\)
\(\frac{40}{7}\)
\(\frac{32}{7}\)
\(\frac{27}{7}\)
Correct answer is A
Mean, \(\bar{x} = \frac{1+2+0+(-3)+5+(-2)+4}{7} = \frac{7}{7} = 1\)
| \(x\) | \((x - \bar{x})\) | \((x - \bar{x})^{2}\) |
| 1 | 0 | 0 |
| 2 | 1 | 1 |
| 0 | -1 | 1 |
| -3 | -4 | 16 |
| 5 | 4 | 16 |
| -2 | -3 | 9 |
| 4 | 3 | 9 |
| Total (n) = 7 |
52 |
Variance = \(\frac{\sum (x - \bar{x)^{2}}{n}\)
= \(\frac{52}{7}\)
In how many ways can 9 people be seated on a bench if only 3 places are available?
1200
504
320
204
Correct answer is B
No explanation has been provided for this answer.
5.7\(ms^{-1}\)
6.0\(ms^{-1}\)
60.0\(ms^{-1}\)
77.5\(ms^{-1}\)
Correct answer is A
\(s = ut + \frac{1}{2}at^{2}\)
\(250 = 6u + \frac{1}{2}(12)(6^{2})\)
\(250 = 6u + 216 \implies 6u = 250 - 216 = 34\)
\(u = \frac{34}{6} \approxeq 5.7ms^{-1}\)
For what values of m is \(9y^{2} + my + 4\) a perfect square?
\(\pm {2}\)
\(\pm {3}\)
\(\pm {6}\)
\(+12\)
Correct answer is D
No explanation has been provided for this answer.