2022 QCE Maths Methods Paper 2 Mini Test 2
External Assessment Paper 2 — Technology-active
Number of marks: 9
Perusal time: 1 minute
Writing time: 15 minutes
Section 1
Instructions
• This section has 10 questions and is worth 10 marks.
• Use a 2B pencil to fill in the A, B, C or D answer bubble completely.
• Choose the best answer for Questions 1 10.
• If you change your mind or make a mistake, use an eraser to remove your response and fill in the new answer bubble completely.
The derivative of the function \(f(x)\) is given by \(f'(x) = \sin(x^3)\) for the domain \(-1.8 < x < 1.8\). The number of points of inflection that the graph of \(f(x)\) has on this interval is
- (A) 1
- (B) 3
- (C) 4
- (D) 5
The distribution for a sample proportion \(\hat{p}\) has a mean of 0.15 and a standard deviation of 0.0345. The sample size is
- (A) 10
- (B) 14
- (C) 107
- (D) 116
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.
A salesperson has a 20% probability of making a sale to each customer who enters the store. Each sale is independent of all other sales.
a) Determine the mean number of sales on a day where 25 customers enter the store. [2 marks]
b) Determine the standard deviation of the number of sales on a day where 25 customers enter the store. [2 marks]
c) Determine the minimum number of customers who would have to enter the store to have an 88% chance or more of making at least one sale. [3 marks]
END OF PAPER
