FINISHED! EVERY YEAR 11 RESOURCE IS NOW AVAILABLE.
2021 VCE Maths Methods Mini Test 1
Adapted for Year 11. Unit 1 & 2.
Number of marks: 10
Reading time: 2 minutes
Writing time: 15 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.
a. Not applicable for Year 11 students.
b. Evaluate \( f'(4) \), where \( f(x) = x\sqrt{2x+1} \). 2 marks
a. Sketch the graph of \( y = 1 - \frac{2}{x-2} \) on the axes below. Label asymptotes with their equations and axis intercepts with their coordinates. 3 marks
b. Find the values of \(x\) for which \( 1 - \frac{2}{x-2} \ge 3 \). 1 mark
End of Section A
Section B – No Calculator
Instructions
• Answer all questions in the spaces provided.
• Write your responses in English.
• In questions where a numerical answer is required, an exact value must be given unless otherwise specified.
• In questions where more than one mark is available, appropriate working must be shown.
• Unless otherwise indicated, the diagrams in this book are not drawn to scale.
a. Differentiate ( y = 2e^{-3x} ) with respect to (x). 1 mark
b. Evaluate ( f'(4) ), where ( f(x) = xsqrt{2x+1} ). 2 marks
a. Sketch the graph of ( y = 1 - frac{2}{x-2} ) on the axes below. Label asymptotes with their equations and axis intercepts with their coordinates. 3 marks
b. Find the values of (x) for which ( 1 - frac{2}{x-2} ge 3 ). 1 mark
End of examination questions
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