2023 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.
In a certain normal distribution curve, 95% of the area lies between the values 50.32 and 113.68. The mean of this distribution is 82.
Determine the standard deviation.
- (A) 16.16
- (B) 21.12
- (C) 31.68
- (D) 63.36
The displacement (m) of a moving particle is given by \(d = e^{0.5t} - 1\), where \(t\) is time (s). The acceleration (m s\(^{-2}\)) of the particle when \(t = 4\) is
- (A) 7.3891
- (B) 6.3891
- (C) 3.6945
- (D) 1.8473
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 fence divides a paddock into two triangular sections as shown.
a) Determine the length of the fence. [1 mark]
b) Calculate the area of triangular section A. [1 mark]
c) Determine the total area of the paddock. [5 marks]
END OF PAPER
