Easier than 2014. Tricky. Very tricky. Tedious.
When I did it, it felt a bit like a AJC paper slightly, so I believe AJC students might find the paper quite comfortable. Paper is not super conceptual.
Highlights: Question 3 which test students on the definition of integration, not a difficult question, but some may struggle to express their answers. Piecewise function was expected, as I told my students. Truck load of integration, technique no good means you struggle already.
So what should we expect in paper 2?
Start you off with a differential equation then have you find the equation, perhaps draw a graph and comment about the long run? Remember to state if k is positive or negative constant.
How it can be hard, getting you to find the equation and link it with conics. Try finding the equation of curve whose normal to the curve passes through .
Probably give it a 7-10 marks.
Clearly about planes, projection and perpendicular distance. Students should familiarise themselves with the conditions for various situations for plane (intersecting at a common line or point). And if they want a set of values, be alert. Same for coordinates.
How it can be hard, when they start reflecting the lines and giving you an angle, and ask you to hence.
Probably give it a 10 marks at least.
I doubt a trigonometry one will repeat itself. Paper 1 did test student enough trigonometry in the last question. What remains is either a conjecture, or recurrence MI. So please go revise how to key a sequence into the GC, how to show increasing/ decreasing sequence. For conjecture, students may find this post helpful. 🙂
How it can be hard, you can’t do your favourite MI if you can’t even do a conjecture.
Probably give it a 10 marks
I really hope they start putting some effort and put the fun in functions. Functions has been quite boring for the past years.
How it can be hard, put in some conics or ask you to find the range of composite, or restrict some domains such that the composite exists.
Probably about 6 marks.
We know it will definitely still come out, and its gonna be Loci already. Be careful and if possible, learn how to check if your bisector or half-line should cut the origin or the centre of a circle, etc. Er don’t forget compass and protractor please.
How it can be hard, finding cartesian equations. Or simply giving you the and then ask you for exact coordinates.
Probably just 8 marks.
Okay I know they don’t add up to 40 marks, but I’m not god, else I can tell you what the actual population mean mark will be. Give and take.
The paper should be tricky, so be careful with the unit, like (thousands) of people, ya.
As for statistics, definitions like the p-value, unbiased estimate, level of significance, necessary conditions for approximations and assumptions should be well memorised. Sampling, last time already la.
Students should know how to find things like given the distribution of T and F. Find the range of level of significance is an easy task but eludes some students still, partly because they overlook that we only reject when , yes it is less than equal, not just less than. And we do not reject when , no more equal; I wrote this intuitive line cos just in case some blindly write equal again. Please take note, definitions are important in Mathematics.
For regression, I hope students know when to use to calculate sample values, and the intuition behind it. Also understand that r-value indicates correlation, and not causality, know that its independent of scaling and translation. You can read a bit here.
For a normal distribution, they should know that its centred about ALWAYS. So learn to abuse the fact. Try a question here.
For PnC, just pray 🙂
Be precise and leave all answers like the regression line in 3SF, but use the 5SF to estimate values, etc.
And please be careful when you round off something in an inequality. :/ A good example will be the APGP question in 2015 H2 Math.
Now I need to get back to my lessons. But I do hope these help.