2021 QCE Maths Methods Paper 1 Mini Test 3
External Assessment Paper 1 — Technology-free
Number of marks: 9
Perusal time: 1 minute
Writing time: 15 minutes
Section 2
Instructions
• Write using black or blue pen.
• Questions worth more than one mark require mathematical reasoning and/or working to be shown to support answers.
• If you need more space for a response, use the additional pages at the back of this book.
– On the additional pages, write the question number you are responding to.
– Cancel any incorrect response by ruling a single diagonal line through your work.
– Write the page number of your alternative/additional response, i.e. See page …
– If you do not do this, your original response will be marked.
• This section has nine questions and is worth 45 marks.
Solve for \(x\) in the following.
a) \(\log_2(5x+7) = 5\) [2 marks]
b) \(\log_{10}(x+3) + \log_{10}(x-3) = \log_{10}(9x-29)\) [3 marks]
In the isosceles triangle \(ABC\), angle \(C\) is \(120^\circ\) and side \(a\) is 4 cm.
a) Draw the triangle, indicating all given information. [1 mark]
Note: If you make a mistake in the diagram, cancel it by ruling a single diagonal line through your work and use the additional diagram on page 17 of this question and response book.
b) Calculate the area of the triangle in cm\(^2\). (Give your answer in simplest form.) [3 marks]
END OF PAPER
