Further Mathematics Past QuestionsQuestion 766:The table shows the distribution of marks obtained by some students in a test
Find the modal class mark. A. 4.5 B. 14.5 C. 24.5 D. 34.5 Question 767:Simplify ( \(\frac{1}{2 - √3}\) + \(\frac{2}{2 + √3}\) )\(^{-1}\) A. \(\frac{-1}{33}\)(6 + √3) B. \(\frac{-1}{33}\)(6 - √3) C. \(\frac{1}{33}\)(6 + √3) D. \(\frac{1}{33}\)(6 - √3) Question 768:For what range of values of x is x\(^2\) - 2x - 3 ≤ 0 A. {x: -1 ≤ x ≤ 3} B. { x: -3 ≤ x ≤ 1} C. { x: -3 ≤ x ≤ -1} D. { x: 1 ≤ x ≤ 3} Question 769:Given that M = \(\begin{pmatrix} 3 & 2 \\ -1 & 4 \end{pmatrix}\) and N = \(\begin{pmatrix} 5 & 6 \\ -2 & -3 \end{pmatrix}\), calculate (3M - 2N) A. \(\begin{pmatrix} 1 & 6 \\ 1 & 18 \end{pmatrix}\) B. \(\begin{pmatrix} -1 & -6 \\ 1 & 18 \end{pmatrix}\) C. \(\begin{pmatrix} 1 & 6 \\ -1 & -18 \end{pmatrix}\) D. \(\begin{pmatrix} -1 & -6 \\ -1 & -18 \end{pmatrix}\) Question 770:Simplify \(\frac{1}{3}\) log8 + \(\frac{1}{3}\) log 64 - 2 log6 A. Log \(\frac{2}{7}\) B. Log 2 C. Log \(\frac{2}{9}\) D. Log 9 |
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