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2018 VCE Maths Methods Mini Test 9
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.
Jamie approximates the area between the \(x\)-axis and the graph of \(y = 2\cos(2x) + 3\), over the interval \(\left[0, \frac{\pi}{2}\right]\) using the three rectangles shown below.
Jamie's approximation as a fraction of the exact area is
- A. \(\frac{5}{9}\)
- B. \(\frac{7}{9}\)
- C. \(\frac{9}{11}\)
- D. \(\frac{11}{18}\)
- E. \(\frac{7}{3}\)
The turning point of the parabola \(y = x^2 - 2bx + 1\) is closest to the origin when
- A. \(b=0\)
- B. \(b = -1\) or \(b=1\)
- C. \(b = -\frac{1}{\sqrt{2}}\) or \(b = \frac{1}{\sqrt{2}}\)
- D. \(b = \frac{1}{2}\) or \(b = -\frac{1}{2}\)
- E. \(b = \frac{1}{4}\) or \(b = -\frac{1}{4}\)
End of examination questions
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