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2020 VCE Maths Methods Mini Test 11
Adapted for Year 11. Unit 1 & 2.
Number of marks: 2
Reading time: 30 seconds
Writing time: 3 minutes
Section A – Calculator Allowed
Instructions
• Answer all questions in pencil on your Multiple-Choice Answer Sheet.
• Choose the response that is correct for the question.
• A correct answer scores 1; an incorrect answer scores 0.
• Marks will not be deducted for incorrect answers.
• No marks will be given if more than one answer is completed for any question.
• Unless otherwise indicated, the diagrams in this book are not drawn to scale.
Shown below is the graph of \(p\), which is the probability function for the number of times, \(x\), that a '6' is rolled on a fair six-sided die in 20 trials.
Let \(q\) be the probability function for the number of times, \(w\), that a '6' is not rolled on a fair six-sided die in 20 trials.
\(q(w)\) is given by
- A. \(p(20-w)\)
- B. \(p\left(1-\frac{w}{20}\right)\)
- C. \(p\left(\frac{w}{20}\right)\)
- D. \(p(w-20)\)
- E. \(1-p(w)\)
Let \(f: R \to R, f(x) = \cos(ax)\), where \(a \in R\setminus\{0\}\), be a function with the property \(f(x) = f(x+h)\), for all \(h \in Z\).
Let \(g: D \to R, g(x) = \log_2(f(x))\) be a function where the range of \(g\) is \([-1, 0]\).
A possible interval for \(D\) is
- A. \(\left[-\frac{1}{4}, \frac{5}{12}\right]\)
- B. \(\left[1, \frac{7}{6}\right]\)
- C. \(\left[-\frac{5}{3}, 2\right]\)
- D. \(\left[-\frac{1}{3}, 0\right]\)
- E. \(\left[-\frac{1}{12}, \frac{1}{4}\right]\)
End of examination questions
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