2021 QCE Maths Methods Paper 2 Mini Test 4
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.
When seeds of a certain variety of flower are planted, the probability of each seed germinating is 0.8.
If eight seeds are planted, what is the probability that at least six seeds will germinate?
- (A) 0.797
- (B) 0.503
- (C) 0.294
- (D) 0.001
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 new internet search engine gives a ranking \(R\) to each website based on the function \( R = \log_{10}(50h^2) \), where \(h\) is the number of hits (visits) the website has received.
If a website currently has 100 hits, determine how many more hits they need to increase their ranking by 1.
In the diagram DC represents a 60 metre vertical tower.
A and B are two points in the same horizontal plane as the foot C of the tower.
The angle above the horizontal from A to D is 28° and the angle above the horizontal from B to D is 35°.
The bearing of C from A is 050°T and the bearing of C from B is 300°T.
Determine the distance between A and B to the nearest metre.
END OF PAPER
