How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.
| Score (x) | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| Freq (f) | 5 | 7 | 3 | 7 | 11 | 6 | 7 |
Find the mean of the data.
3.26
4.91
6.57
3.0
Correct answer is A
Mean = \(\frac{\sum fx}{\sum f}\)
= \(\frac{150}{46}\)
= 3.26
\(\begin{vmatrix} -4 & 2 & 1\\ 6 & 0 & 5 \\ 0 & 6 & 2 \end{vmatrix}\)
\(\begin{vmatrix} -6 & 0 & 13\\ 0 & -3 & 18 \\ 14 & 18 & 9 \end{vmatrix}\)
\(\begin{vmatrix} 5 & 2 & 6 \\ 0 & 1 & 1\\ 3 & 4 & -7 \end{vmatrix}\)
\(\begin{vmatrix} -4 & 0 & 8 \\ 0 & -2 & -16 \\ 10 & 12 & 6 \end{vmatrix}\)
Correct answer is B
M = \(\begin{vmatrix} -2 & 0 & 4 \\ 0 & -1 & 6 \\ 5 & 6 & 3 \end{vmatrix}\)
M\(^{T}\) = \(\begin{vmatrix} -2 & 0 & 5 \\ 0 & -1 & 6\\ 4 & 6 & 3 \end{vmatrix}\)
2M = \(\begin{vmatrix} -4 & 0 & 8\\ 0 & -2 & 12\\ 10 & 12 & 6\end{vmatrix}\)
M\(^T\) + 2M = \(\begin{vmatrix} -6 & 0 & 13 \\ 0 & -3 & 18 \\ 14 & 18 & 9 \end{vmatrix}\)
In how many ways can the word MATHEMATICIAN be arranged?
6794800 ways
2664910 ways
6227020800 ways
129729600 ways
Correct answer is D
MATHEMATICIAN = 13 letters with 2M, 3A, 2T, 2I.
Hence, the word MATHEMATICIAN can be arranged in \(\frac{13!}{2! 3! 2! 2!}\)
= 129729600 ways
If a fair coin is tossed 3 times, what is the probability of getting at least two heads?
\(\frac{2}{3}\)
\(\frac{4}{5}\)
\(\frac{2}{5}\)
\(\frac{1}{2}\)
Correct answer is D
The outcomes are {HHH, HHT, HTT, HTH, THH, THT, TTH, TTT}
P(at least two heads) = \(\frac{4}{8}\)
= \(\frac{1}{2}\)
If \(6x^3 + 2x^2 - 5x + 1\) divides \(x^2 - x - 1\), find the remainder.
9x + 9
2x + 6
6x + 8
5x - 3
Correct answer is A
No explanation has been provided for this answer.