Carrotsticks
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Multiple Choice:
What is Q3 doing there?
Q10 was a bit too easy for MX2 Q10 I think. A 2 unit student could have worked that one out.
Overall, MC much easier than other years.
Question 11:
(b) (iii) could have had cleaner results. I see no reason why the argument of w had to be pi/7 as opposed to say pi/4 or pi/3 etc. This may have worried students unnecessarily (with them thinking they got the wrong answer).
Why is (f) here? This is a fairly classic 3U integration question. The 3 marks could have been put to better use ie: trig sub, t formula, harder reverse chain rule, f(a-x) etc
Question 12:
I like the idea of (a) (iii), where I'm guessing the intention was for students to make the connection between the vector form and the complex number form.
Question 13:
I think (b) could have been left as a standalone question without any guidance like in the 2012 paper.
Have no idea what (c) is doing here, also given the fact that it is worth SIX marks! Sure, the topic Harder Ext 1 technically can be any Ext 1 topic. But the difficulty of this question hardly warrants it being placed in an Ext 2 paper. The six marks could have been put to better use ie: circle geometry and/or strong induction.
Question 14:
Physics students were clearly conflicted in this question as mu was treated as a variable, when it is usually studied as a constant. Otherwise a nice question.
Question 15:
(a) was a cute question that proved a neat result.
(b) was a good question.
Question 16:
(a) (ii) I'm not sure what markers would be looking for in this question. Mechanically, it is identical to the previous part. Did they want students to copy down their answer from part (i) but use the letters n and q instead of numbers? Also, given that it is question 16, I think (i) and (ii) could have been merged into one question.
(b) is a nice introduction to Tchebyshev polynomials, and how it can be used to prove various identities. Good question. However, expecting students to recall the closed form for the binomial series in part (iii) is being a bit over ambitious, I think.
What is Q3 doing there?
Q10 was a bit too easy for MX2 Q10 I think. A 2 unit student could have worked that one out.
Overall, MC much easier than other years.
Question 11:
(b) (iii) could have had cleaner results. I see no reason why the argument of w had to be pi/7 as opposed to say pi/4 or pi/3 etc. This may have worried students unnecessarily (with them thinking they got the wrong answer).
Why is (f) here? This is a fairly classic 3U integration question. The 3 marks could have been put to better use ie: trig sub, t formula, harder reverse chain rule, f(a-x) etc
Question 12:
I like the idea of (a) (iii), where I'm guessing the intention was for students to make the connection between the vector form and the complex number form.
Question 13:
I think (b) could have been left as a standalone question without any guidance like in the 2012 paper.
Have no idea what (c) is doing here, also given the fact that it is worth SIX marks! Sure, the topic Harder Ext 1 technically can be any Ext 1 topic. But the difficulty of this question hardly warrants it being placed in an Ext 2 paper. The six marks could have been put to better use ie: circle geometry and/or strong induction.
Question 14:
Physics students were clearly conflicted in this question as mu was treated as a variable, when it is usually studied as a constant. Otherwise a nice question.
Question 15:
(a) was a cute question that proved a neat result.
(b) was a good question.
Question 16:
(a) (ii) I'm not sure what markers would be looking for in this question. Mechanically, it is identical to the previous part. Did they want students to copy down their answer from part (i) but use the letters n and q instead of numbers? Also, given that it is question 16, I think (i) and (ii) could have been merged into one question.
(b) is a nice introduction to Tchebyshev polynomials, and how it can be used to prove various identities. Good question. However, expecting students to recall the closed form for the binomial series in part (iii) is being a bit over ambitious, I think.
